Saturday, September 12, 2026

What is the Purpose of Doing Mathematics? Thoughts on AI and Maths from the Point of View of a Christian Mathematics Graduate Student

As the powers of AI have been brought to bear to solve frontier mathematics problems, a sort of existential crisis has gripped the mathematics profession, causing deep reflections not only upon the role of mathematicians in society, but fundamentally the purpose of doing mathematics itself.
 
I would like to explore this question in a semi-autobiographical way. To narrate the story of why I got into mathematics, the sort of mathematics I do, and then finally from there, address these fundamental existential questions.

I would like to begin my tale with how I landed upon my chosen thesis topic for my mathematics masters course. I was fascinated by the Anglican Bishop and Philosopher, George Berkeley, and his philosophy of "idealism", what today philosophers would call panpsychism, the idea that there is no matter in the world, and it all consists of a system of ideas and sense impressions which God directly feeds into the souls of men, the precursor to "The Matrix". "To be is to be perceived" as Berkeley would. The world consists of nothing more perceptions.

However, this philosophy led me to wonder if projective geometry, rather than the standard Euclidean geometry, might be much more foundational geometry. Projective geometry is the study of geometry "under projection", that is, how geometric objects appear from various perspectives, and how the objects change with changes in perspectives, and what properties remain invariant under change of perspective. This kind of geometry was first studied by the Renaissance artists, trying to determine how 3-dimensional figures appear on a 2-dimensional canvas, but grew into an extremely rigorous geometric system in the 19th century as it became abstracted from its original purpose in art.

My suspicions were confirmed, that projective geometry was truly much more foundational to geometry than a lot of other geometry, as I delved deeper into projective geometry. As the great geometer Felix Klein was reported to have said, all geometry is projective geometry. Doubtless today this would be considered an exaggeration, but the mathematical reason for his declaration is that you can pretty much construct the Euclidean and traditional non-Euclidean geometries, e.g. elliptical, hyperbolic, etc, from within projective geometry.
 
As I was doing my masters I suddenly had the thought, what if spacetime warping by special relativity was somewhat like the warping and distortion of geometric objects under projection? I decided then that this was what I wanted to do for my thesis: a framing of special relativity within projective geometry. And why not? Every school boy with the barest minimal interest in physics or science would be fascinated by relativity and spacetime bending and all that, that is cool stuff!

I initially set out merely to do an expository thesis on relativity and projective geometry, not an original research thesis. As mentioned, projective geometry has been around since the Renaissance, Einstein's special relativity is about a century old. I thought that someone must have already developed the projective geometric framework for special relativity, and derived special relativity "from the bottom up" from projective geometry.

But the more I researched and looked into it, it became clear that while mathematicians and physicists have noted that the geometry of special relativity, that is, Minkowski geometry, shared certain structures with a kind of projective geometry, nobody had bothered to actually attempted to derive relativistic kinematics/geometry from projective geometry. There are various reasons for this, some of them are technical difficulties, but the most important reason is simply that there was no reason or need to solve these problems. Physicists and mathematicians already have far more powerful mathematical frameworks and devices to derive relativity and to compute the metrics, e.g. differential geometry, for the purpose of physics and even for mathematics, there was simply no pressing need to solve the technical problems for framing it within projective geometry.

So what began as simply a thesis to exposit on what I thought would be prevailing knowledge of the projective framing of special relativity became an original research thesis. I had to use pre-existing techniques from other fields and apply them in a novel way to solve some of the technical problems, and create novel geometric devices to get around some of the difficulties.
 
Now, I don't claim that these technical problems were insurmountably difficult, certainly not frontier level difficult, nor that my solutions to these problems were some kind of stroke of genius. My solutions to these problems were original for one very simple reason: I cared enough about the problem to solve it, nobody else bothered.
 
So much for the story of my mathematical journey. I want now to reflect on what effect AI would have on this. And now it should be clear:
 
AI would take nothing away from this.
 
I chose to study the specific mathematics I wanted because I was simply fascinated. The part of mathematics I was studying is very well established, trodden by hundreds of greater minds than mine. I did not chose this topic to "challenge myself", to solve a problem no one else could. I chose it because I was curious about the topic and I even thought that someone must have already finished the work. I did original work simply because I was curious to see if it could work and because no one else had that curiosity.

Thus, I would still have chosen to study it even if someone else, whether a human or AI, had already done all the work. Thus, at least for me, that AI could solve a mathematical far faster or better us would take away nothing from those of us who are motivated by sheer curiosity and love for the subject itself. Even if a computer or another human, had already established the field or solve the problem, if you are truly curious about the subject, you would still want to know and learn just for its own sake.
 
At this point you might say, that's well and good for you to study simply just for curiosity sake, but what about other mathematicians who revel in the challenge of solving a problem? My glib answer is first that you can simply join a mathematics competition and literally challenge yourself. My non-trivial answer would be to refer to the example of Alexander Grothendieck, the geometer who invented modern algebraic geometry, an entirely new field of geometry, not an easy feat with mathematics as mature as the 20th century! When Grothendieck was in university, he was dissatisfied with the mathematics education there which treated certain mathematical concepts, I.e. integration and area, with what he thought was insufficient rigor. For three years he isolated himself to formulate the rigorous basis. When he had finished formulating his theory and presented it to senior mathematicians, they informed him that he had basically just re-derived Lebesgue integration, formulated 40 years before him. However far from disappointment, he felt that it validated his abilities as a mathematician, that without books or access to prior knowledge, he could derive from scratch such a fundamental result, and that it showed that he had great mathematical intuition. And further, this independence of mind would later enable him to become the pioneer of one of the great frontiers of mathematics.
 
Would AI prevent mathematicians from doing a Grothendieck? Grothendieck could isolate himself from books which contained the very thing he wanted to derive, we don't need to use LLMs if we don't want to and we are always free to re-derive everything from scratch if we wanted. AI doesn't force us to use it if we don't want to! Mathematical textbooks come with solutions manuals and answers at the back, if you want to challenge yourself, just don't look at the back!

Thus, I am considerably baffled with all the talk about how AI brute forcing solutions or rapidly reaching the end point somehow would destroy meandering wanderings, playing around and looking at different angles, exploratory discoveries and poking around established theorems to glean new insights. If you want to do all that, how does AI stop you from doing so? Just do it! My own mathematical stint precisely is this.
 
There are all kinds of questions about the status motivation, how would mathematicians show what humans are capable of if a computer can brute force it? And then there are questions of economic and material incentives for doing mathematics if it can simply be done much more efficiently by computers. How would we justify paying mathematicians for years of works what can be done in a month by someone who doesn't need insurance?

But I speak as someone who is just curious and just loves the subject. It means nothing to me if AI could solve these problems because my primary motivation is that I just want to contemplate and appreciate the actual subject matter and content, I just want to know and understand cool mathematics stuff, how does the fact that AI can solve a problem somehow prevent me from knowing and understanding? How does the fact that AI can brute force a solution prevent me from appreciating the subject matter?
 
I would like to end off on a religious note.

When I was in junior college (in Singapore it's the stepping stone to university), I was deeply interested in philosophy, being a new Christian and just getting into apologetics. Yet historically philosophy itself was very much integrated with mathematics. So to explore further the deeper cultural and philosophical significance of mathematics, I picked up Morris Kline's Mathematics for the Non-Mathematician, to which I then encountered the following passages:

The mathematicians and scientists of the Renaissance were brought up in a religious world which stressed the universe as the handiwork of God. The scientists whom we shall meet shortly, Copernicus, Brahe, Kepler, Pascal, Galileo, Descartes, Newton, and Leibniz, accepted this doctrine. These men were in fact orthodox Christians. Copernicus was a member of the Church. Kepler studied for the ministry although he did not take orders. Newton was deeply religious and, when late in life he felt too exhausted to pursue creative scientific work, turned to religious studies.

However, in the sixteenth century the new goal in the intellectual world became to study nature through mathematics and indeed to uncover the mathematical design of nature... How then was the attempt to understand God’s universe to be reconciled with the search for the mathematical laws of nature? The answer was to add a new doctrine, namely, that God had designed the universe mathematically... Indeed the work of the sixteenth, seventeenth, and even some eighteenth-century mathematicians was a religious quest, motivated by religious beliefs, and justified in their minds because their work served this larger purpose. The search for the mathematical laws of nature was an act of devotion. It was the study of the ways and nature of God which would reveal the glory and grandeur of his handiwork. The Renaissance scientist was a theologian studying nature instead of the Bible. Copernicus, Kepler, and Descartes speak repeatedly of the harmony which God imparted to the universe through his mathematical design.

It was this passage which led me to study mathematics in university. And no amount of AI brute forcing solutions or solving mathematical problems will ever take this away from me: the rupture of beholding the glory of God in His mathematical design of nature, and His genius in creating mathematics.

Mathematics ultimately does not exist for mathematicians, it does not exist as a jobs program for talented maths brains. Mathematics doubtless has many practical uses, but mathematics is for everyone, and ultimately it exists to manifest the brilliance and wisdom of the Almighty, not to aggrandise the egos of men.

Monday, September 7, 2026

John Duns Scotus on the Miracles of the Antichrist

In John Duns Scotus in his Ordinatio argued that miracles testify to the truth of the Christian faith in these words:

the clearness and evidence of miracles, the thing is plain thus: God cannot be a false witness; but God himself, when invoked by a preacher of the Scripture to show that its doctrine was true, performed some work proper to himself, and thereby bore witness that what he preached was true. There is a confirmation from Richard [of St. Victor] in On the Trinity I ch.2: “Lord, if it is an error, we have been by you deceived, for your deeds have been confirmed by signs so great that they can only have been done by you.”

Scotus as such believes that miracles are a work "proper" to God, and miracles as such provide a unique form of divine testimony to an oracle or prophet of a divine message. It isn't explicit what "proper" means, but later on we can attempt to develop and explicate his argument.

Duns Scotus then addresses an objection to this logical link between miracles and authentication of the theological message. If the miracles of Jesus authenticated his gospel, would the miracles of the devil or Antichrist also authenticate their message? In his own words:

“it be said that miracles... do not testify to the truth, because even Antichrist will perform miracles...”

To this objection Duns Scotus answers:

it can be said that if anyone, after being summoned as a witness, should permit some customary sign of bearing witness to be adduced and, although present, should not contradict it, such silence does not cohere with perfect truthfulness; but a miracle is such a sign of God as witness; therefore if he should permit miracles to be performed by demons and not contradict them, namely by declaring that they are not his testimonies, he does not seem to be perfectly truthful, which is impossible. And hereby is the response to what is said of Antichrist, because God predicted that the miracles to be done were not testimonies of the truth, as is clear in Matthew 24.24 and 2 Thessalonians 2.8-9.

Personally I think this is a brilliant answer based on a courtroom analogy, but I would like to develop and make this argument tighter and to smooth out what I think are some logical sequencing problems.

Scotus argues that miracles are a unique sign of God as a witness, but if God does not answer or contradict a malicious miraculous testimony in His name, He cannot be said to be "perfectly truthful". The concept appealed to here is what is known as the "law of adverse inferences". The law of adverse inferences is the idea that if the accused to a crime refuses to answer some question or explain himself, the judge may direct the jury to draw whatever "adverse inferences" they may deem fit from the accused's silence or refusal to answer. Very few common law jurisdictions have such a law of evidence because of its obvious effects on the right to silence. Whereas everyone obviously agrees that everyone has the right to silence in the sense that nobody should be punished nor tortured for refusing to answer questions, however in America and in many other common law jurisdictions the right to silence is so absolute that neither the judge nor the lawyers can even comment or draw any attention to the accused silence or refusal to answer any questions at any point from arrest to trial. (During the Rittenhouse trial when the prosecutor made even a causal remark that Rittenhouse didn't mention something when he was questioned by the police, the cookie judge roasted his ass from the bench.)

With this concept we are now in a position to develop Scotus's argument. Suppose a wonder worker were to claim to bear a message from the Lord God, but is in fact a deceiver, and invoking the name of God, he calls upon God to bear witness to his message and confirms this by a miracle. Now God in this position could be charge with lying and deceit if He allows a deceiver to invoke His name to confirm a false message. If the audience to the miracle were to pray, are you deceiving us with a false message, and if God remains silent and does not answer the miracle of the deceiver, we can draw "adverse inferences" against God for remaining silent in the face of being accused of deceit.

However, as Scotus points out, this is impossible for God who is perfectly truthful himself. So if a deceiver invokes the name of God to confirm a false message by miracle, God cannot remain silent and should answer that miracle by another miracle which unambiguously shows who's the true prophet, e.g. Moses's snake eating the magician's snake, Elijah's calling fire down from heaven to burn up Baal's sacrifices. On the other hand, if there's no miraculous counter, then we can infer that the message is truly from God.

Let's formulate a complete argument for Jesus's miracles contra the miracles of the Antichrist this way.

(1) Miracles are a work proper to God, that is, a unique divine witness to a prophetic message.

(2) Jesus claims that God has divinely revealed that all miracles which contradicts His message are all false, e.g. miracles by the devil and the Antichrist.

(3) If Jesus is lying through his teeth and God has other messages and revelations which contradicts Jesus's message, then God cannot allow Jesus's message to be miraculously confirmed because that would effectively be His own confirmation that these other messages are false.

(4) Thus, if Jesus is lying through his teeth, and God wants to prevent Jesus's message from being confirmed, he has to either (a) prevent Jesus from performing any miracles to confirm the message or (b) perform a counter miracle to disprove Jesus's message.

(5) Jesus, "by the finger of God", performs miracles to confirm his message.

(6) Thus (4a) avenue for preventing the confirmation of Jesus's message is negated.

(7) If Jesus is lying, God must act according to (4b) because to remain silent while his own witness is being invoked in deceit would fall foul of the law of adverse inferences, which would make God guilty of deceit.

(8) However God does remain silent after Jesus's miracles were confirmed.

Conclusion:

The supposition of (3) is false, Jesus is not lying through his teeth.

And Corollary from (2): All other miracles performed in aid of messages "anti" to the Christ are false.

I think this is a tighter argument and more rigorous version of Scotus's argument, but we still have to acknowledge the original genius of Scotus for the analogy. 

However, what Duns Scotus here implies is that the miracles of the Antichrist do not authenticate his theological truth claims because it contradicts Jesus's own message which has been authenticated before that of the antichrist. Thus, there is a theological content test for the authenticity of miracles based on chronological priority, the message which has been confirmed prior to the latest one has priority and negates all subsequent miracles which negates the prior message. This just goes back to the Deuteronomic 13 principle that:

If a prophet or a dreamer of dreams arises among you and gives you a sign or a wonder, and the sign or the wonder comes true, of which he spoke to you, saying, ‘Let’s follow other gods (whom you have not known) and let’s serve them,’ you shall not listen to the words of that prophet or dreamer of dreams; for the Lord your God is testing you to find out whether you love the Lord your God with all your heart and with all your soul. You shall follow the Lord your God and fear Him; and you shall keep His commandments, listen to His voice, serve Him, and cling to Him.

Thus, even if the prophet performs a true sign or genuine miracle, but if it contradicts the prior message given by Moses to lead people away from God's commandments, they are not to be listened to. Thus, majority Christians denominations have availed themselves of this principle to reject the miracles of their rivals, Augustine rejected the miracles of the Donatist as it is contrary to the theological truth revealed prior to them, when the Roman Catholics tried to argue that Protestants had no miracles authenticating their doctrines, John Calvin's famous answer was that their doctrine is authenticated by apostolic miracles. And when the Jansenist referred to their miracles around Saint-Médard as authenticating their position, the Jesuit replied that the apostolic miracles had already established the Roman magisterium's as the final authority on interpreting miracles and subsequent miracles cannot contradict it. 

Any Christian denomination which follows the trajectory of the Old Testament approach to miracles would necessary subscribe to some sort of chronological priority of miracles.


Tuesday, August 25, 2026

How do Miracles Authenticate Divine Revelation? A Sketch of a General Framework for Evaluating Rival Miracles

 

But if I cast out demons by the finger of God, then the kingdom of God has come upon you.

Luke 11:20

The Difficulty on Rival Miracles throughout History

It seems almost like a self-evident truth that miracles of course authenticate theological truth claims. The link is pretty obvious throughout the Bible, Jesus's message concerning the kingdom of God is confirmed by his exorcism, if Christ is not risen our faith is in vain, etc.

However throughout the history the link between miracles and divine revelation has not always been that straightforward. We can distinguish between the "soft" difficulty, as to whether we can believe in reports of miraculous occurrence, and the "hard" difficulty, where we need to determine what the miracles mean when we are confronted with miracles by rival theological traditions with conflicting theological truth claims. The "soft" problem has never posed a significant difficulty.

The hard difficulty had always existed throughout history, even in the Old Testament, but it would receive the most explicit expression during the Enlightenment. Formally the Enlightenment question was: do miracles authenticate theological truth claims, or are we to judge the "validity" of a miracles based on anterior theological commitments? After all, the Pharisees could say that Jesus performed miracles by Beelzebub, and Jesus himself warned that the Antichrist can perform miracles to deceive, if possible, even the very elect. The link between miracles and divine revelation as such is not all that clear.

The issue was most sharply focused in a now largely forgotten 18th century episode, the Convulsionaries of St. Médard, involving alleged miracles around the tomb of a Jansenist deacon. A heterodox Roman Catholic sect, the Jansenists claimed that the occurrence of miracles around the grave of a Jansenist deacon "authenticated" their theological position against the Roman Catholics. As the reports grew in number and intensity, and as the number of pilgrims and the curious to the tomb swelled, the Jesuits in their battle against them became increasingly desperate and started to rely on skeptical arguments against miracles, in general, advanced by the very Enlightenment against Christian truth claims itself. The episode was finally brought to a close by the King of France locking down and out the tomb and stemming the tide of pilgrims and curious visitors. 

A satirical poster however appeared outside the tomb which highlighted the potentially explosive implications of the controversy: "By order of the king, God is forbidden from performing miracles here." If the divine was subject to human will, what else could be? The involvement of skeptical celebrities like Voltaire himself to investigate the matter brought it to attention of Enlightenment Europe where the debate over the veracity of miracles raged. Other skeptics like David Hume used precisely this episode as a lightning rod for their arguments against miracles in general. Indeed, as Hume would ask rhetorically, if the numerous testimonies to the St. Médard miracles were not sufficient testimony for their theological truth claims, how could the testimonies of the New Testament avail to evidence the resurrection of Christ and Christian theological truth claims? Subsequent major theologians and theological textbooks would comment on this episode in their discussion of miraculous authentication, B.B. Warfield was perhaps the last major theologian to systematically engage the issue in his Counterfeit miracles before interest in the topic strangely disappeared from all theologising.

While St. Médard focused the problem in a concrete raw form, the problem which it posed was not unknown to Enlightenment thinkers prior to the episode. In particular, the British Enlightenment Christians had spent the better part of the Early Modern period discussing the problem of rival miracles. A famous example commonly used was the miracles of the pagan Roman Emperor Vespasian, who lived around the time of Christ and as such, was the perfect example for teasing out the principles behind evaluation of miracles. We can go even further back to John Duns Scotus whose Ordinatio probably provided the first attempt at a systematic treatment of the meaning of miracles and the problem of rival miracles. Going even further back, St Augustine himself was confronted by this problem when he declared that the miracles of the Donatist meant nothing, it is not miracles which authenticate their theology, but it is right theology which shall judge their miracles. As to whether he was conscious of the problems this would pose for the miracles of the apostles themselves, or tried to work his way out of his circularity, I am uncertain.

Both Duns Scotus and the British Enlightenment Christians in fact did sketch out a set of principles for trying to evaluate miracles like that of Vespasian, the Antichrist, or the Jansenist which did not involve either begging the question, e.g. their miracles are false because our theology was right, or simply blaming it on the devil, and even if they did want to blame it on the devil, they were careful to articulate their objections in a non-circular manner. It is the purpose of this post to return to that project once more and to advance a little of their framework, hopefully towards a more comprehensive framework for understanding miracles in general.

The Background Assumptions for Evaluating Miracles

If the miracles witnessed by the Bible were not to be justified in a circular way, then logically it stands to reason that the criteria for their evaluation has to at least begin from principles anterior to the Scriptures. The Scriptures, as we will see, can no doubt develop the principles and criteria whereby we evaluate miracles. However, to avoid circularity we need to begin outside the Bible.

Natural Theology and Natural Revelation of God's Moral Order

So what are those principles? The British Enlightenment Christians argued that naturally we start from the premises of natural theology and the moral government of God. Via our reason, we determine that God made this world and that he has certain characteristics which makes him worthy of our worship, e.g. he seeks our benefit, etc. As such, we begin not with blank slate nor just presupposing the Bible, but from the precepts of natural theology and "natural law" or the precepts already written in the hearts of men. Thus we can determine if a miracle is from God if the intrinsic qualities of those miracles are compatible with a God which seeks our benefit. A miracle, for example, whereby a person could miraculously get rid of the husband she doesn't like, would automatically be discounted as a false miracle or one from the devil, and certainly not as testimony of the divine will, since the very character of such a miracle contradicts our understanding of what divine goodness would deliberately will. Miracles of frivolities like jumping off buildings and surviving, acquiring a million dollars which one does not need, etc, would also not be counted as genuine testimonies of the divine will since they contradict our basic notion of what the divine will would will for our good, understood rationally, and not simply tickle our itch for spectacle.

Since we are discussing miracles by God to testify to a direct message from God, obviously that miracle should bear the hallmarks of God himself.

Contextualising the Purpose and Message of Miracles

This principle is vital when it comes to evaluating rival or pagan miracles, the significance of those miracles need to, obviously, be interpreted within their own immediate context first. From this principle we can derive the following conclusion: not all miracles are "authenticating" miracles. Just because a figure from a rival religious tradition performs a miracle it doesn't follow the purpose of their miracle is to authenticate their theology. Balaam was not a Jew and yet God could still use him to prophesy for God's own purposes. Some British Enlightenment thinkers argued that if God wants to heal a pagan or heathen, and wants to keep the spark of divinity alive in a society, why should he not perform a miracle via less than orthodox or even pagan agents? With regards the famous Emperor Vespasian example, if God providentially wanted a stable Roman Empire, or to confirm Vespasian in his rule, why should not God perform miracles by Vespasian to effect that end?

Thus, not all miracles authenticate or are for the purpose of testifying to the theological assumptions or background of the person performing the miracle. They could have immediate purposes or ends orthogonally connected to their background.

To be sure we do have miracles which are specifically "symbolic" of theological contests, e.g. the miracles of Moses are specifically aimed against the Egyptian gods. That the Egyptian magicians themselves could perform miracles by turning their staff into snakes was falsified, not by denying that they did perform the miracle, but by Moses's snake eating the magicians' snake. Thus, when we have a thaumaturgic contest which are specifically to vindicate the true theology in a contest of rival religious traditions, then the miracle which is truly from God should "defeat" the other side.

As such, sometimes miracles can be performed to specifically prove and authenticate the authority of the prophet or miracle worker, or to authenticate his theological message or truth claim. From this point we are led to the next point:

The Chronological Priority of Miracles

If God can authenticate a specific theological message by miracles, then we can assume that no subsequent miracle can contradict the message previous authenticated by God himself. Thus, there is a prejudice for chronological priority in the authentication function of miracles, theological messages specifically authenticated by miracles performed earlier in time has priority over theological messages authenticated by miracles performed later in time (I again want to remind you of the distinction between miracles being merely performed by rival religious figures, and miracles performed by them to authenticate their theological truth claims against rival claims. Thus pagan miracles which precede that of the Bible are no problem on this principle).

The chronological priority of miracles would entail two kinds of constrains I will call "soft" and "hard". It will impose soft constrains in the sense that subsequent miracles should not authenticate messages incompatible to the message by prior miracles even if they can reveal novel content. "Hard" constrains is when the prior miracle itself authenticates a theological message specifically to negate and reject miracles performed to authenticate a whole class of messages. We can see an example in Deuteronomy 13:1-5:

If a prophet or a dreamer of dreams arises among you and gives you a sign or a wonder, 2 and the sign or the wonder comes true, concerning which he spoke to you, saying, 'Let us walk after other gods (whom you have not known) and let us serve them,' 3 you shall not listen to the words of that prophet or that dreamer of dreams; for Yahweh your God is testing you to find out if you love Yahweh your God with all your heart and with all your soul. 4 You shall walk after Yahweh your God and fear Him; and you shall keep His commandments, listen to His voice, serve Him, and cling to Him. 5 But that prophet or that dreamer of dreams shall be put to death because he has counseled rebellion against Yahweh your God who brought you from the land of Egypt and redeemed you from the house of slavery, to drive you from the way in which Yahweh your God commanded you to walk. So you shall purge the evil from among you.

Thus, God himself specifically instructs Israel to ignore a genuine miracle or prophecy, which has come true, if it testifies to specific false theological contents, e.g. to lead Israel away from Yahweh and unto other gods. We can accept the miracles of Moses while rejecting the subsequent miracles of such a false prophet without inconsistency because of the precept of the chronological priority of miracles, the prior message has been authenticated before the subsequent message and limits the scope of acceptable miracles thereon.

[Addendum: Interestingly enough, Thomas Hobbes himself articulated a principle very much like this in his discussion on miracles in his Leviathan:

If one Prophet deceive another, what certainty is there of knowing the will of God, by other way than that of Reason? To which I answer out of the Holy Scripture, that there be two marks, by which together, not asunder, a true Prophet is to be known. One is the doing of miracles; the other is the not teaching any other Religion than that which is already established.

(Underline mine) He then proceeds to quote the same Deuteronomy passage to discuss this point. Thus, by deferring to a religion already established, that is very similar to principle of chronological priority I've articulated here.]

The chronological priority of miracles, the theological messages authenticated earlier in time can bind subsequent miracles and messages, has an especial application in the question of the miracles of the Antichrist which Christ warns us against. Because Duns Scotus gave such a brilliant and subtle explanation of that phenomenon, I will dedicate an entire separate post here discussing Scotus's own exposition on that point which enfleshes this principle in more detail.

I want to make a very brief note that this principle is a theological precept, not an epistemic one. Chronological priority here is in terms theological validity, not in terms of how we can epistemically justify whether an authentic miracle occurred in the historical-evidential sense. Thus, the principle of chronological priority does not negate the apologetic move of being able to epistemically rely on the New Testament accounts as reliable witnesses and testimonies to the miracles establishing the divinity of Christ, and then make the theological argument that the divine Christ's affirmation of the Old Testament can establish the divine inspiration of the Old Testament. Epistemically from a historical point of view, even if we do not have as much historical evidence for the reliability of the Old Testament as witnesses to the primary events as we do for the New Testament, nevertheless they can still be invoked as circumstantial evidence to reinforce the reliability of the New Testament by simply noting that there is a strange and remarkable coincidence between the prophesies of the Old Testament, which is clearly written before the events of Christ's life even if we are unsure of whether it goes "all the way" back, and its subsequent fulfilment. It can even be simply used as evidence of the state of Jewish belief back then while bracketing questions of whether it was a reliable witness to divine revelation. Thus, the distinction between theological premises and epistemic/historical premises need a bit of careful analysis and work.

As a side historical note, it is interesting that during the Reformation when the Roman Catholics argued that the Protestants had no miracles while the Roman Catholic position was authenticated by numerous signs and wonders, John Calvin's famous reply was that the doctrines of the Protestants were authenticated by the miracles of the apostles, this is the principle of the chronological priority at work. Lest it be said that this is merely a convenient apologetic move by the Protestants, the Roman Catholics were compelled to avail themselves of the same principle when they argued that the Jansenist miracles meant nothing because the miracles of the apostles had already established the Church as the "certifying" authority on all miracles, so subsequent miracles against them were by default negated.

Conclusion: Evaluating Rival Miracles

I think as we live through the decline of Christendom and find ourselves in a wider world of competing religions and theological truth claims, we need to nourish once more those apologetic muscles which we once wielded against other religions. This cannot be done clumsily or lazily, by blanket and question begging dismissals of all other rival miraculous reports as either done by the devil, or via overarching skeptical arguments against all miracles in general. I think the British Enlightenment project of formulating the principles for evaluating miracles, which have been since the time of the Old Testament should be revived and developed much more extensively to meet the challenge of our time, a challenge not new nor novel, but which has been since Moses himself warned his people against following the prophets of other gods.

Tuesday, August 4, 2026

On the Varieties of Arguments that "Without the Church there will be no Bible"

These books the Church holds to be sacred and canonical not because she subsequently approved them by her authority after they had been composed by unaided human skill, nor simply because they contain revelation without error, but because, being written under the inspiration of the Holy Spirit, they have God as their author, and were as such committed to the Church.

Council of Vatican I: Third Session: Chapter 2

Since this is argument, that without the Church there will be no Bible, comes up so frequently in arguments with high church apologists, I believe that it will be useful to summarise my reply to this argument.

There are several variants which this argument take. What I will contend is that those variants which are true are trivial, but those variants which are substantive are evidently false.

Variant (1) Without the Church there will be no Bible

Taking this claim in its vaguest and broadest sense possible, this is actually entirely true, but completely trivial. If by Church one includes Christ and the Apostles, then obviously if there was no Church, and thereby no apostles, there would be no Bible, if for no other reason then that the Apostles wrote substantive parts of the New Testament! So obviously we must affirm the Church's necessity to the Bible's existence in this most basic sense.

There is another sense in which this claim is also true, but also somewhat trivial and uncontroversial. Obviously after the apostles wrote the New Testament they didn't just upload it unto some cloud server and we download it from there. The apostolic writings were passed down, or "traditioned", to other Christians and their clerics who made copies of those letters and continue to pass it down. Just as Bible publishers today print copies of the Bible and sell and distribute it to Christians, likewise did the Christians of the past copy and distribute the New Testament. This is also likewise true, but as I said, completely uncontroversial and trivial. No one denies that we need the Church, that is Christians, to copy and distribute the Scriptures to subsequent churches and Christians.

Variant (2) The Church Authorised the Bible

This claim is a lot stronger, much more substantive, and as such a lot more controversial. Let's deal with the weakest and least controversial sense first.

Now, again, if by "the Church" authorised the Bible one means that the apostles authorised the teachings of the Old and New Testament, in addition to the prophet's authority, which they promulgated in their letters and gospels, that is again perfectly true, but once more, completely trivial. Obviously the authority of the Bible is derivative of the authority of the prophets and the apostles, and in this entirely true but trivial sense the Church authorised the Bible.

However what the high church apologist normally means is the more specific, and thereby much more controversial sense, that the Church Councils authorised the Bible. Now this is a substantive claim, but one which is very difficult to sustain for various reasons.

First, that is not the language of the councils themselves. As the Council of Carthage (397 AD) states, after listing out the canonical books, that those are the books which "we have received from our fathers that those books must be read in the Church". The council and subsequent churches received, not authorised, the books. The council no more "authorised" what they have received than does a captain "authorise" the orders which he receives from his colonel. This is in fact a very old argument going back to John Calvin himself.

Moreover, the proposition that the Bible's authority is derivative of the councils' authority will entail the absurd contrapositive proposition that for 300 years before the councils authorised the Bible the New Testament wasn't authoritative at all. Imagine if after St Paul sent his epistle to the Corinthians he got the following response: "Thank you for your letter. But we have to wait for a church council to pronounce on whether your letter is authoritative before we can obey it. So in the meantime we are totally going to marry our dogs." That's just ridiculous. An apostolic writing or teaching is authoritative by virtue of the authority of the apostle who authored it, not by virtue of some conciliar recognition or pronouncements centuries later. The apostles could exercise their authority there and then, they didn't need their authority to be confirmed a few centuries later by some council. Those apostolic letters were binding and authoritative anterior to the existence of any conciliar pronouncements.

Now, it maybe replied that while obviously they would not dare say that the councils have an authority superior to that of the apostles, nor presume to say that the apostles' authority is subordinate to the councils', there is an entirely legitimate epistemic question of how we can know which books are of apostolic origin and as such authoritative.

This is an entirely legitimate concern and we turn to our final formulation.

Variant (3) Without the Church we cannot Know what is the Bible

We need to be very careful here to distinguish between two different questions.

(1) Which books were written by the apostles?

(2) Which books are authoritative?

The answer to the latter question is unambiguously those books of apostolic origin, those penned by the apostles or apostolic men or confirmed by them.

Now the main controverted point during the Gnostic controversy concerned the authority of books, point (2). The Gnostic claimed that their books were authoritative, not on the basis that they were written by the apostles, but on the basis that they record secret unwritten oral communications or traditions from the apostles only the Gnostics were aware of. (Does this sound familiar?) The argument of Irenaeus against this is that whatever the apostles taught authoritatively, they taught by virtue of publicly distributed and known written documents, there is no such secret oral communications or traditions. And furthermore, and this is an important point, we know of such written documents by virtue of it being passed down by successive churches.

This actually leads us back to our discussion on Variant (1). Now obviously official church records, the church Fathers, church historians and even councils provide us with important evidence  as to which books of the New Testament are of apostolic origin. However this is not the same as that somehow all those records, patristic, or conciliar writings were infallibly authoritarive. They give us good, probable, morally certain, evidence sufficient for faith and practice and to determine which books are of apostolic origin. As an analogy, when the Queen gives her assent to a bill passed by both Houses of Parliament, that bill becomes statute and the law of the land. Subsequently the statute appears on the official website of the parliament and the Supreme Court. Now, the statute as it can be found on the website gives us good reliable evidence on what is the law of the land. What we wouldn't say however is that the website "authorises" the statutes. That's absurd. The authority of the statutes are derivative of the authority of the Queen in Parliament. The website merely reports those statutes after the fact. Likewise the books of the Bible are authoritative by virtue of apostolic or prophetic authority. Subsequently churches merely pass on those books after the fact, and the writings of the Church Fathers gives us good reliable evidence of which books are of apostolic origin. What the church Fathers do not do however is to "authorise" the books.

To this it may be objected that how can we believe that certain books are infallible on the basis of a fallible list determined by the methods of historical research and fallible reason? A brief reply can be given here that an infallible Church wouldn't solve this either. Even if we grant the existence of extrabiblical infallible ecclesiastical documents, there is no such infallible list of infallible ecclesiastical documents either. To determine which ecclesiastical documents are infallible, you will still need to use you fallible reason, the studies of historical research to determine the literary form of the document in question, and its authenticity and historical context, in order determine if it is in fact an infallible document. In fact recently in Eastern Orthodox circles there was a controversy about whether universalism was condemned by the Fifth Ecumenical Council. Apparently the document supposedly condemning that was a post-conciliar addition and was not part of the council itself. The point however is that let the ecumenical council be ever so infallible, which documents are part of that council is properly a conclusion of history and reason based on the fallible methods of historical analysis. Thus even infallible Church documents themselves are "based" on fallible reason. If this is no problem for church documents, it isn't a problem for determining infallible books of the Bible by fallible historical research.

Conclusion: Confusing the Epistemic Issues with the Theological

Most of the time high church apologetics involves a confusion between epistemic questions with theological ones. Normally they begin with dubious epistemic foundationalist assumptions which structures our understanding of divine revelation according to this framework. Thus the certainty of derived or inferred propositions is only as certain as the certainty of its epistemic foundations.

I have dealt with these issues at sufficient length in my above linked articles and I won't rehearse them. However there is an entirely legitimate concern about how some of the books we receive today were doubted by the church Fathers in the past. This is especially with regards the antilegomena books, Hebrews, James, Revelation, etc. It is here where I would favour the Lutheran approach of treating those as a sort of secondary canon given the existence of some doubts concerning their authenticity, while the undoubted books, the homologoumena, provided us with sufficient materials for faith, practice and salvation.

Thursday, June 4, 2026

Overcoming the Key of Knowledge with the Key of Power; The Problematic Development of Papal Infallibility

If the historical evidence of the Catholic Church for the stability of the faith in the See and the Successor of Peter be not sufficient to prove, as a fact of history, that the Christian Church has so held and taught, history is altogether a poor and slender foundation for the events and actions of the past, The pretentious historical criticism of these days has prevailed, and will prevail, to undermine the peace and the confidence, and even the faith of some. But the City seated on a hill is still there, high and out of reach. It cannot be hid, and is its own evidence, anterior to its history and independent of it. Its history is to be learned of itself.
-Cardinal Edward Manning,: The oecumenical council and the infallibility of the Roman pontiff : a pastoral letter to the clergy, &c (1869) 

This post will be an exposition of the theological development of the concept of papal infallibility. Its main thesis is that papal infallibility is an inference or derivation from the concept of papal supremacy. Once this main thesis is realised the problematic nature of the dogma of papal infallibility would become a lot clearer. 

The Key of Power versus the Key of Knowledge: Medieval Approaches to Papal Power 

 While it is common pop Roman Catholic apologetics to assert that the political authority of clerics, especially the popes, mediates our knowledge and understanding of the Scriptures or divine revelation, that was not the medieval consensus. The medieval world accepted the unmediated supremacy of the Scriptures with regards our knowledge of the contents of divine revelation and the articles of faith to be believed. But before we can begin our discussion on this point we need to understand the medieval distinction between the Key of Knowledge and the Key of Power. The Key of Knowledge, or Lack Thereof Pope John XXII in his bull Quia Quorundam engages the question as to whether the Pope can define matters infallibly by the "key of knowledge" and categorically rejects it. In order for him to make his argument he has to distinguish between the the "key of power", which the popes and priests have, and the "key of knowledge", which they do not. Addressing the "assertors", or his objectors, John says:
First, indeed, according to those who hold that the spiritual key is by no means knowledge, but the power to bind and loose, it is clear that the before mentioned assertors, in stating that it is knowledge, have erred. The definition the learned give of the key supports them [i.e. those who hold that the key is power]: "It is a special power of binding and loosing, by which the ecclesiastical judge should admit the worthy, and exclude the unworthy from the Kingdom”.
John XXII here is quite clear that the spiritual key of binding and loosing concerns only the power of excommunication and does not confer knowledge. He was even more explicit when he discusses the Matthew 16 passage dealing with Peter directly:
Our Saviour in the promise of the keys ["and I will give you the keys"] made to blessed Peter... added immediately after it: "And whatever you will bind upon earth will be bound also in heaven, and whatever you will loose upon earth will be loosed also in heaven"--making no mention of knowledge.
As far as John XXII understood it, with regards the power of binding and loosing, or the "keys" which Christ entrusted to Peter, it is merely the power of excommunicating and judging who is in or out of the Kingdom of God. That power to judge does not come with knowledge, infallible or otherwise. 

The Bible as Supreme Epistemic Authority on Divine Revelation 

 Having distinguish the key of power from the key of knowledge, and shown that the power of binding and loosing concerned the power of excommunication and does not come with knowledge, it remains to show where is that knowledge of divine revelation to be found. The consensus of the medieval Church was quite clear that the Bible was the supreme and unmediated epistemic authority over divine revelation. It alone provided supreme infallible knowledge of divine revelation. This was the repeated refrain from Aquinas which can be easily seen in the following quotes:
All the intermediaries through which faith comes to us are above suspicion. We believe the prophets and apostles because the Lord has been their witness by performing miracles, as Mark (16:20) says: “...and confirming the word with signs that followed.” And we believe the successors of the apostles and prophets only in so far as they tell us those things which the apostles and prophets have left in their writings.
- St Thomas Aquinas: De veritate Q14. Article 10. Reply 11 

 We have to observe the argumentative structure here carefully. He begins on the premise that all the intermediaries of the faith are "above suspicion" or doubt, yet he says only of the prophets and apostles that they are categorically to believed. The successors of the apostles on the other hand are only to be believed only in so far as they communicate the prophets and apostles' writings. Thus, if the successors of the apostles are not above suspicion then they are not the intermediaries through which faith comes. This is probably one of the clearest argument from Aquinas rejecting the idea that Roman clerics are intermediaries of the faith. In Aquinas's Lectures on the Gospel of John he was likewise as explicit: "...only canonical Scripture is a measure of faith. Others, however, so wrote of the truth that they should not be believed save insofar as they say true things." In Summa 1.1.8, while Aquinas speaks of the "authority of philosophers" as "extrinsic and probable" and the authority of the doctors of the Church as "merely probable", he speaks of the "authority of the canonical Scriptures as an incontrovertible proof". On the epistemic plane as such, the authority of the Scriptures is clearly the supreme and infallible basis for theological propositions. To come back to John XXII, in the same bull quoted above he also makes a similar point in his arguments against his detractors. Challenging his detractors to prove their assertions, he argues:
Further, let them tell us where they read such assertions... Indeed, this pertains to faith neither directly, since there is no article about this nor any under which it can be comprehended–as is clear in the creeds, in which the articles of faith are contained–nor, also, [does it pertain to faith] reductively, as if scripture contains something like this, so that if it be denied the whole of sacred scripture is made doubtful and as a consequence the articles of faith, which have to be proved by sacred scripture, are made doubtful and uncertain.
(Bold and italics mine) Thus John assumes as a premise that the articles of faith "have to be proved by sacred scripture". As such as far as knowledge goes; the proof or evidence for the truth of a theological proposition has as its basis the canonical Scriptures. 

The Nature of the Key of Power 

While the medieval Church was clear about the unmediated supremacy of the Scriptures over divine revelation, there arose the idea of the political supremacy of the papacy which Aquinas explicitly taught as we can see here in his work CONTRA ERRORES GRAECORUM:
It is also shown that the Vicar of Christ has universal jurisdiction over the entire Church of Christ... It is also established... that the Roman Pontiff possesses a fullness of power in the Church.
(From Chapter 33 to 34) 

 While it has been acknowledged today that some of the quotes which Aquinas relies on are spurious, we need not trouble ourselves as to the historical basis for the claims of Aquinas. We need only content ourselves with the theological premises and principles which Aquinas held to, grounded or not, and the meaning and consequences of it. We need to understand what Aquinas means here correctly. He is not saying, for example, that only the Pope alone knows what the Scriptures really mean, or that the Pope mediates divine revelation and alone has access to it. The Pope's power is political and extends, supremely and absolutely, over the whole Church in the sense that he gets to rule, direct, and govern the Church by command or legislating or judging guilt or innocence. The political power to do such a thing however is not the same as saying that he has the knowledge to do so, even less infallible knowledge. In practical terms, all supreme political or legal power to do something simply means that his judgements are without appeal because there is no one else to appeal that judgement, and the orders of that power cannot be contradicted by any other higher authority or power. As an example, a supreme court judge may have supreme legal power to judge cases and issue court order, etc. But even if he possesses such a supreme legal power, and as such his judgement is final, absolute, and there is no possibility of appeal against it, it doesn't mean that he is in possession of great legal knowledge nor does it mean that he cannot err in his judgement. The judge may still be a complete idiot, he may have judged the facts wrongly based on a faulty understanding of the law or situation, but he would still have such a supreme legal power if he is so appointed by the proper authorities. (A glance at the judgements of the United States Supreme Court, for example, would make clear the divergence between possessing supreme legal authority to judge things and the possession of actual wisdom/knowledge to do so.) This point, with regards the pope, can be easily seen when we see how Aquinas explains what constitutes the Pope's power:
It is also shown that Peter is the Vicar of Christ and the Roman Pontiff is Peter’s successor enjoying the same power conferred on Peter by Christ. For the canon of the Council of Chalcedon says: “If any bishop is sentenced as guilty of infamy, he is free to appeal the sentence to the blessed bishop of old Rome, whom we have as Peter the rock of refuge, and to him alone, in the place of God, with unlimited power, is granted the authority to hear the appeal of a bishop accused of infamy in virtue of the keys given him by the Lord.” And further on: “And whatever has been decreed by him is to be held as from the vicar of the apostolic throne.”
It is quite clear here that by "unlimited power" it refers to the Pope's authority to be the final court of appeal for all disputes, in the same sense that United States Supreme Court is the final court of appeal for all cases. The Pope claims the right to hear all cases under his jurisdiction, which is the whole Church, and whose judgement on such cases is final and simply without appeal. There is no political authority higher than the pope to whom one can appeal. But we have to note the sort of cases the Pope here is hearing. He is hearing a case about the "infamy" or guilt or innocence of a bishop with regards being sentenced or accused of something, the Pope is not deciding a doctrinal truth; he is deciding a legal point of whether a bishop is guilty of what he is accused of and liable to be sentenced. To be sure whether or not a bishop is guilty may involve doctrinal truth if the bishop is being accused of heresy, then the pope, in the course of condemning or exonerating him, has to decide whether what he says is heresy, but that is not the main object of the pope's power. The pope's jurisdiction is precisely over a legal and political point of whether someone has been sentenced rightly or condemned justly, and only incidentally would it involve doctrinal truth only if the bishop is accused of heresy. As such, the papal unlimited governing powers concerned discipline and political prudence, not as an epistemic source of knowledge concerning the faith. But I will expand on this point later. 

 Aquinas's most explicit expression of the distinction between the epistemic sufficiency of the Scriptures and the political nature of papal authority can be seen in Summa 2.2.1.10. There Aquinas discusses the question as to whether the Pope has the right to draft creeds.
"Objection 1. It would seem that it does not belong to the Sovereign Pontiff to draw up a symbol of faith. For a new edition of the symbol becomes necessary in order to explain the articles of faith, as stated above (Article 9). Now, in the Old Testament, the articles of faith were more and more explained as time went on, by reason of the truth of faith becoming clearer through greater nearness to Christ, as stated above (Article 7). Since then this reason ceased with the advent of the New Law, there is no need for the articles of faith to be more and more explicit. Therefore it does not seem to belong to the authority of the Sovereign Pontiff to draw up a new edition of the symbol. [...] Reply to Objection 1. The truth of faith is sufficiently explicit in the teaching of Christ and the apostles. But since, according to 2 Peter 3:16, some men are so evil-minded as to pervert the apostolic teaching and other doctrines and Scriptures to their own destruction, it was necessary as time went on to express the faith more explicitly against the errors which arose."
One needs to observe the arguments here. Aquinas does not appeal, contra contemporary high church apologists, to the skeptical idea that the Scriptures are ambiguous, unclear, that we can't discern its meaning without some Magisterium. Rather, there is an outright positive affirmation that the teachings of Christ and the Apostles are sufficiently clear, it is epistemically sufficient. The point of creeds however is not to enlighten the ignorant but to discipline the the evil who deliberately pervert the truth. As such, the point of creeds is political, prudential and disciplinary, to discipline and rebuke the wilful heretic, not to uncover truths which we have no access to without the Magisterium.

The tension however comes in because Aquinas seems to think that the Pope also has the political authority to decide controversies about the faith. In his own words: "... to the aforesaid Pontiff belongs the right of deciding what pertains to faith." The problematic question is: Can the Pope decide matters of faith without at the same time possessing infallible knowledge to do so? 

The Extent of Papal Infallibility in the Use of his Supreme Power 

 We have seen that the medieval Church, at the same time, held to the epistemic supremacy of the Scriptures, that it contains infallible and absolute theological truth, while holding unto the political supremacy of the pope. The question which naturally arises out of this is: Does the Pope need to have infallible knowledge in other to exercise his supreme political power? To better appreciate this question we will look at three cases: cases of excommunication, canonisations, and finally the issuing of creeds. 

Sentences of Excommunication 

 If we remember from our previous quote from John XXII, he explicitly identified the power of excommunication as what specifically pertains to the Key of Power, the Power to admit and reject from the Kingdom of God. The Pope as such presumably is supreme politically, "the last court of appeal" and where the buck stops when it comes to sentences of excommunication. As we have discussed, when the Pope declares, say, a cleric excommunicated or defrocked on the basis of sexual misconduct, his judgement is final and without appeal. There is no other power capable of contradicting him and there is no other court above him (except maybe the Last Judgement itself). The problem is, is the Pope infallible when he passes such sentences of excommunication? The answer has to be, definitely not, even on present Roman Catholic premises. 

 An argument against the infallibility of the papal excommunication sentences is as follows: Whether a specific person is guilty of a specific crime is an empirical question, an empirical fact which doesn't properly belong to the apostolic Deposit of Faith passed down. The Apostles may have taught that sexual abuse is a sin, and the Pope maybe able to infallibly pass down what the Apostles taught (we will come to this point later). But the Apostles cannot possibly teach that "Father Gomez is guilty of sexually abusing altar boys" for no other reason than that the apostles were not even aware of the existence of Father Gomez who lived two thousand years after they died! As such the Pope cannot be infallible when it comes to sentences of excommunication even if he has supreme political power over the entire church and no one may contradict him. The Pope maybe the successor of St Peter, but unlike his predecessor of old he is not gifted with supernatural insight to know whether or not Ananias and Sapphira were lying to him (we will also come back to this point). As such, the Pope is not privy to such empirical facts. In Roman theology today papal infallibility does not extent to his "ordinary" exercise of power, supreme though it maybe, which commands cannot be overruled, whose judgement may not be appealed. 

Cases of Canonisations 

 While this case is pretty straight forward, the difficulty sets in when it comes to more "important" matters concerning his governance, such as the canonisation of saints. If the Pope is not specially privy to the facts concerning whether Father Gomez is a sexual abuser, is the Pope specially privy to the facts as to whether a particular person is orthodox in his faith, has died in the state of grace with no secret sin, and has truly performed such and such number of miracles? The difficulty can be seen at once. If the Pope could make a mistake in canonising saints then an entire system of piety, the faith and trust of its faithful, will be thrown into a crisis of doubt. Imagine a lifetime invoking the help of someone and he turns out to be roasting in hell or purgatory. However Catholic theology is clear that as far as the infallibility of the Church is concerned it can only extend to matters of apostolic tradition and the deposit of faith. They can only communicate, without fail, what the apostles taught and divinely revealed. There is however no promises or guarantee regarding the Church's infallibility concerning empirical matters of facts. 

Aquinas felt the problem, and although he has repeatedly argued that the Scriptures were supreme epistemically and that all other authorities are to be believed only in so far as they say what is true, he saw that the piety of the Church would be threatened if there was no certainty concerning canonisation of saints. And thus he asserts, in the medieval fashion, that piety requires that the Pope be infallible when it comes to canonisation, although he had the cop out that he is so only in so far as he represents the Church. The exact quote from Quodlib. IX, a. 16 is: "Since the honor we pay the saints is in a certain sense a profession of faith, i.e., a belief in the glory of the Saints, we must piously believe that in this matter also the Church is not liable to error." The appeal here is to "piety", not Scripture or even Tradition. Such a reasoning is a species of the "conclusion theology" or "fitting argumentation" that if something was "fitting" God would do it. It is unfitting that God would allow millions to invoke people roasting in hell, ergo God must have guaranteed the judgements of popes concerning sainthood. 

 While we can understand the motivation behind the argument, the problem has not been solved at all. The medieval Church may need papal infallibility in canonisation to justify their piety in the saints, but just because they need it for their piety is God obliged to supply it? Maybe the proper response to such uncertain piety is to qualify our trust, not invent new promises unknown to Scripture and tradition out of the thin air. As such, it is impossible to square the Pope's miraculous infallibility when it comes to saintly canonisations with the repeated assertion that the Pope simply does not possess the key of knowledge and the repeated rejection that infallible knowledge comes with clerical charisma. 

Issuing of Creeds 

 The tension however becomes critical when it comes to the promulgation of creeds. As part of his duty as the supreme governor of the Church the Pope has the power to issue and promulgate creeds. As part of that same governing power the Pope has of course the power to excommunicate people for heresy or rejecting the creeds which contains divinely revealed articles of faith. However, while it is clear that sentences of excommunication concerning empirical misconduct of sexual abuse is not infallibly guaranteed, are excommunication over heresy likewise open to the same fallibility? The medieval tension is clearest here: The Scriptures alone are the supreme epistemic authority concering divine revelation. Aquinas was explicit on this point that the successors of the apostles were to be believed only in so far as they teach in accordance with the Scriptures. Pope John XXII in his condemnation of papal infallibility in Quia Quorundam, where he distinguishes the Key of Power from the Key of Knowledge, was also explicit that articles of faith must be demonstrated from the Scriptures. Thus, prima facie, we are forced to conclude that the Pope's command to receive a certain creed as containing true theological propositions has to be subjected to the Scriptures. Lacking the key of knowledge, which has been committed to the Church as a whole and contained supremely in the Bible, the Pope's political power cannot override the Scriptures concerning divine revelation. Yet how could the Pope exercise his supreme authority to govern the Church if whether or not to believe the theological content of his creeds and his teachings are subjected to Scriptural checks? If upon examination of the Scriptures we see that the successor of Peter has issued a creed which contains theological errors, is the Church bound to accept his erroneous creed in the same way that the Church is supposedly bound to accept his sentences of excommunication, mistaken as they maybe? 

 The medieval tension in fact has never been solved; it has simply resulted in the Reformation with the Protestant Reformers simply accepting the epistemic supremacy of the Scriptures, as taught by the medieval Church, and asserting outright the fallibility of the political commands of clerics and our freedom to dissent from them. The Roman position continued to hold them together, with numerous problems and paradoxes along the way. 

  The Critical Clash between the Pope's Lack of Knowledge and His Supreme Power 

 The post-Reformation age did not solve the medieval problems. In fact it heightened is until it reached various critical points. To see where the critical clash occurred we need only look at a curious 17th century controversy within the Roman Church. For our present purposes we need only give a sketch of the controversy. 

 In the 17th century a Jesuit doctoral thesis advanced the following proposition: We can only have moral, not infallible, certainty as to whether or not a specific man is the pope. The argument is as follows: Whether or not a certain man is the Pope is dependent upon certain historical and empirically sensitive facts like whether or not he has been elected without simony or has been validly baptised. Whether or not a specific man, who lived hundreds of years after the apostles's death, is validly baptised cannot possibly be part of the original deposit of faith. As such, although we can be morally certain, it cannot be infallibly guaranteed part of the original deposit of divine revelation. The uproar which this thesis provoked was followed by an even more rigorous attempt to refute the thesis. On such a critical matter such as whether or not a specific man is the pope they felt an "existential" need for infallible certainty. 

Yet all the Catholic Church accepted that divine revelation ceased with the apostles. Whether or not divine revelation can be found only in the Scriptures or in both the Scriptures and tradition, it cannot possibly be asserted on either option that what happens hundreds of years after the apostles died is part of the original apostolic teaching. A bold solution to this problem was to argue as follows: It is part of the original divine revelation that papal definitions are divinely revealed. Ergo, if the pope defines that such and such person is the pope, that fact becomes "equivalent" to divine revelation. Most Roman theologians pointed out that this obviously broke the principle that there cannot possibly be new divine revelation. However what is of interest to us is this: Can political exercises of papal power in defining matters become "divine revelations" simply by virtue of the exercise of his power? As it turns out, Vatican I's answer is essentially: Yes. 

  Vatican I Non-Epistemic Arguments for Papal Infallibility 

Vatican I can be considered to be a "resolution" to the medieval problem, but it resolves it in effect by ignoring it. My contention would be that it doesn't address any of the points of the epistemic deficiency of the Pope, it addressed it by taking the need for efficacious papal power to its logical conclusion: If it is to be effective, it has to be infallible. Papal infallibility, as such, is not based on any epistemic arguments, but is derivative of the need for effective exercise of papal power. Despite pop Roman Catholic attempts to argue that the papacy can give us epistemic certainty concerning the contents of divine revelation, that is most certainly not the premise or argument of Vatican I. Vatican I continues to operate on the "realist" premises of the medieval Church, that is, divine revelation, both natural and supernatural, is intelligible, and can be known with certainty to our reason. Here are some passages from Vatican I:
The same Holy mother Church holds and teaches that God, the source and end of all things, can be known with certainty from the consideration of created things, by the natural power of human reason... Nevertheless, in order that the submission of our faith should be in accordance with reason, it was God's will that there should be linked to the internal assistance of the Holy Spirit external indications of his revelation, that is to say divine acts, and first and foremost miracles and prophecies, which clearly demonstrating as they do the omnipotence and infinite knowledge of God, are the most certain signs of revelation and are suited to the understanding of all. 5. Hence Moses and the prophets, and especially Christ our lord himself, worked many absolutely clear miracles and delivered prophecies; while of the apostles we read: And they went forth and preached every, while the Lord worked with them and confirmed the message by the signs that attended it. Again it is written: We have the prophetic word made more sure; you will do well to pay attention to this as to a lamp shining in a dark place.
Note well that not only God can be known by the "natural power of human reason", but that divine revelation can be known "clearly" with "certainty" via miracles, signs and wonders, prophecies, etc. Vatican I doesn't say, as per pop Roman apologetics, that divine revelation is intrinsically opaque, that we cannot know it without the Magisterium, or that it is knowledge "mediated" by the Pope. In fact Vatican I goes even further that these things can be known with certainty and absolute clarity by the divine acts of miracles and prophecies. If Vatican I, and all of the Church before, were not obsessed with epistemic questions about the inherent ambiguity or unknowability of divine revelation, why then papal infallibility? If one looks at the structure of the argument of Vatican I, the reason is obvious: Papal infallibility is the consequence for effective political exercise of papal power. While most Roman Catholic and Protestant disputes are centered on papal infallibility, the logical order in fact is that of first papal supremacy then papal infallibility which is derived from the former. This can be most clearly seen in the argumentative structure of the First dogmatic constitution on the Church of Christ of Vatican I. Chapter 1 sets out the foundational principle from which papal infallibility would be derived:
Chapter 1 On the institution of the apostolic primacy in blessed Peter 1. We teach and declare that, according to the gospel evidence, a primacy of jurisdiction over the whole Church of God was immediately and directly promised to the blessed apostle Peter and conferred on him by Christ the lord. [...] 3. And it was to Peter alone that Jesus, after his resurrection, confided the jurisdiction of Supreme Pastor and ruler of his whole fold, saying: Feed my lambs, feed my sheep.
The premise is obvious: Christ conferred upon Peter, and presumably his successors, this supreme "jurisdiction" to rule over the whole Church. The political power of the Pope is the foundation for all the subsequent arguments. Papal infallibility is explained only in the last chapter and in these terms:
Chapter 4. On the infallible teaching authority of the Roman Pontiff 1. That apostolic primacy which the Roman Pontiff possesses as successor of Peter, the prince of the apostles, includes also the supreme power of teaching. This Holy See has always maintained this, the constant custom of the Church demonstrates it, and the ecumenical councils, particularly those in which East and West met in the union of faith and charity, have declared it. [...] Then there is the definition of the Council of Florence: "The Roman Pontiff is the true vicar of Christ, the head of the whole Church and the father and teacher of all Christians; and to him was committed in blessed Peter, by our lord Jesus Christ, the full power of tending, ruling and governing the whole Church." [58] 3. To satisfy this pastoral office, our predecessors strove unwearyingly that the saving teaching of Christ should be spread among all the peoples of the world; and with equal care they made sure that it should be kept pure and uncontaminated wherever it was received. [...] 7. This gift of truth and never-failing faith was therefore divinely conferred on Peter and his successors in this See so that they might discharge their exalted office for the salvation of all, and so that the whole flock of Christ might be kept away by them from the poisonous food of error and be nourished with the sustenance of heavenly doctrine. Thus the tendency to schism is removed and the whole Church is preserved in unity, and, resting on its foundation, can stand firm against the gates of hell. 8. But since in this very age when the salutary effectiveness of the apostolic office is most especially needed, not a few are to be found who disparage its authority, we judge it absolutely necessary to affirm solemnly the prerogative which the only-begotten Son of God was pleased to attach to the supreme pastoral office.
After this follows the definition of papal infallibility. The argument as such can be summarised in the following deduction: (1) Christ entrusted Peter and his successors with the Key of Power to govern the Church with full, supreme, final and absolute authority. (2) In order to do (1) effectively the Pope has to be infallible on some occasions of the exercise of his authority, namely, when he is teaching, etc. The argument is clearest in 7. where it is explicitly pointed out that the "gift of truth and never-failing faith" was "divinely conferred" on the pope "so that they might discharge their exalted office for the salvation of all, etc." 

 As such, the reason for papal infallibility isn't due to any epistemic arguments pop apologists are so fond of that the pope has to mediate divine revelation otherwise it is unintelligible, unknowable, or even that it cannot be known with certainty; the reason for papal infallibility is to that the pope can be a more effective political ruler, a political mission or office which Christ promise to St Peter and his successors. That is, to prevent schism, foster unity, and discipline the erring. It has nothing to do with epistemic issues of revealing impenetrable or inaccessible divine revelation. Vatican I's answer to the medieval problem is in effect: We will overcome our lack of knowledge with power. 

Despite the deductive elegance of this argument, there is one basic problem: It is pure speculation, a mere product of "conclusion theology". It is solving a problem purely of its own invention. We Protestants have a simple modus tollens solution to the medieval problem of whether the pope can discharge his supreme governing responsibilities without infallible knowledge: Since the Pope does not possess the key of knowledge and since he can be mistaken concerning heresies ergo he cannot possibly possess supreme political power to govern the Church because he can issue commands to believe in theological mistakes. With this we conclude with some objections to the "development" of papal infallibility. 

  Conclusion: No Dividing the Key of Power 

 Papal infallibility clearly is a conclusion twice removed from the direct biblical datum. On Vatican I premises, Christ supposedly gave St Peter the supreme power to govern the whole Church, papal infallibility is inferred from that granted power on the premise that he needs papal infallibility to do it effectively. For the sake of argument, even if we grant that all the biblical and patristics writings concedes to the Pope supreme political power to govern the whole Church, and we most certainly do not, it still doesn't follow that the Pope has to be infallible in every exercise of that power. He can after all still make mistakes about excommunication sentences. Nothing in the Fathers or the Bible says that the Pope has to be infallible every time he exercises his power. Not even Romanist today believe this. As we have seen, the problem already emerged in the medieval Church when Aquinas simply asserted that the Pope was infallible in canonisation because the Church needed certainty for their piety. That argument however is mere speculation, it invents a divine promise just to meet a postulated need.  

The post-Reformation Roman Church likewise struggled with trying to determine when and how the Pope was infallible. Many various theories were postulated but all of them were merely speculative. In the end Vatican I is merely the product of "conclusion theology". Without justification or grounds from Scripture or Tradition, they simply invented a promise which pertains to specific criteria and scope for infallibility based on some systematic consideration and felt need for how papal supremacy can work coherently in the real world. 

What is even more confusing is that contemporary Roman theologians who hold that canonisations are infallible are explicit in distinguishing papal infallibility regarding canonisations from papal infallibility as defined in Vatican I. They claim that papal infallibility is derived directly from the pope's efficacious and supreme governing power. But this is completely arbitrary. If the pope needs to be infallible in canonisations in order to effectively govern the church, why shouldn't he need to be infallible in excommunications in his governance of the church? 

 Our Protestant objection therefore is that the selection and demarcation of only specific exercises of papal power to be infallible is arbitrary from the standpoint of the Bible. If truly the Pope were entrusted with such a Key of Power with such and such promises pertaining to the Key there is simply no biblical or even traditional reason to believe that the promises pertain with varying strength to the use of the key. Either all exercises of it are infallible or none are. But it is not like there is a switch on the key to use on "half power" when deciding "ordinary matters" and then the Pope can ramp it up to "full power" when infallibly deciding matters of doctrine of faith and morals. The distinction is pulled completely out of the thin air. If we look at the biblical witness, St Peter in deciding how to distribute the donations knew supernaturally that Ananias and Sapphira were lying to him. This infallible insight doesn't pertain to a doctrinal definition of faith and morals, it is literally knowledge concerning a purely prudential matter. Why should not his subsequent successors be likewise gifted with such infallibility when even deciding ordinary matters? The Pope as such should be, for example, infallible in his excommunication sentences, he should supernaturally be able to know which priests under him are engaging in kiddy fiddling and be infallible in defrocking the whole lot. When deciding what books to put on the Index he should be able to know that Kepler's book contains accurate astronomical data. Of course the unfortunate fact is that the subsequent history shows that this cannot be sustained. But if the premise of papal supremacy doesn't entail in a straightforward logical manner the Pope's infallibility in every exercise of his supreme power given by Christ, on what basis do they invent such a distinction to say that he is infallible only on this occasion and not that? The conclusion which we Protestant contend is that there is no reason whatsoever. This distinction is a pure concoction and summoned completely out of the thin air. Its purpose is not to unfold the meaning of Scripture or even tradition. Its main purpose is presentist propping up of the Vatican institution. As such logically to be consistent if the promise of Christ pertains to the keys as a whole he should be infallible all the time. Otherwise, they don't get to put a power level switch on it just because history can't bear out their logic. 

 While most apologetics today is focused on papal infallibility, the historical facts shows that papal infallibility is merely an inference from papal supremacy. However that the major premise leads to the minor is by no means self-evident. It is merely the product of an old but ultimately dangerous medieval principle: If something is "fitting" God would do it. No principle has generated more heresies than this. Probably half of the errors of Rome can be traced back to this idea; if I can formulate a cool story as to why it would be nice if something is true, it totally has to be. The proper response to this should be: Cool story bro.

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