Yet all three used logic to derive their claims. And you're running after Aristotle and Plato who are no less questionable in their theological bonafides.
I didn't structure my argument as an appeal to authority, so attacking them doesnt unravel it. Nor does calling it "postmodern" (it's not) which is really just code for "things I don't like".
My only point is you're subjecting things to assumptions that you're not fully acknowledging, and then appealing to those assumptions as divine. "God made 1+1=2".
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I am not subjecting truth to logic
You literally said "if a doctrine is illogical, then it is untrue by definition". Explain how the reality of God is beyond all change and is perfectly One, but the One is perfectly plural and the plurality is perfectly one. You may just call this paradox, but that's a fancy way of describing contradiction. The reality is that truth transcends logic; logic itself can prove through itself its own limits.
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This is NOT subjecting God to logic. It's understanding God THROUGH logic
But we don't understand God through logic. This is the problem with what you're saying, and the Eastern church does not express this. You're conflating expression with understanding, and they are not the same thing.
The Church baptizes philosophical language to express the understanding we receive from God through revelation. But the expression is not the thing. The expression never becomes the thing, and it never limits the thing itself. The symbol of faith is not the faith, it points to it, describes it.
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I think Palamas and Mark of Ephesus started this more extreme, near rejection of philosophy and logic in the East.
I think Scholasticism retread ground long understood to be fruitless in the East, then didn't understand why the conclusions their project of straw led them to were rejected. It's kind of absurd to imagine that the East - which never "lost" Aristotle or Plato - would somehow be ignorant of their content when it was "rediscovered" by the West.
There's another problem with this statement. If you read the fathers they clearly say Christianity is the only true philosophy. For example, St Justin Martyr says "...philosophy is, in fact, the greatest possession, and most honorable before God, to whom it leads us and alone commends us...What philosophy is, however, and the reason why it has been sent down to men, have escaped the observation of most; for there would be neither Platonists, nor Stoics, nor Peripatetics, nor Theoretics, nor Pythagoreans, this knowledge being one...There existed, long before this time, certain men more ancient than all those who are esteemed philosophers, both righteous and beloved by God, who spoke by the Divine Spirit, and foretold events which would take place, and which are now taking place. They are called prophets. These alone both saw and announced the truth to men, neither reverencing nor fearing any man, not influenced by a desire for glory, but speaking those things alone which they saw and which they heard, being filled with the Holy Spirit....I found this philosophy alone to be safe and profitable."
St John of Damascus writes "Philosophy is knowledge of things which are in so far as they are; that is to say, a knowledge of their nature. Philosophy is a knowledge of divine and human things...Philosophy is a becoming like God, in so far as this is possible for man....Philosophy is the art of arts and the science of sciences, for, since through philosophy every art is discovered, it is the principle underlying every art. Philosophy is love of wisdom. But, the true wisdom is God. Therefore, the love of God-this is the true philosophy."
The process of "use" of "outer-knowledge" is the same as anything else; what is good is baptized and incorporated, and what is bad is rejected. This is as true for Greek philosophy as it is for pagan mythology, or mathematics, or engineering, or art.
The ancient understanding is that while Plato and Aristotle's works were as close as you can get by human efforts, they're ultimately insufficient, and were at best pedagogical tools to prepare the Greeks for the true philosophy, which was revealed to the prophets long before.
Returning to the difference between "understanding" and "expression" also requires a deeper dive into categories of knowing, which is part of the point I made about your epistemological handwaving. When it comes to divine things, we confess that God is beyond knowing or understanding, because we have no capacity to experience him through sensory means, and no referent or thing to compare Him to; hence we arrive to God properly only through negation of all things - apophatic theology - and are left with understanding that whatever we are He is not. We confess this in every divine liturgy: "For You, O God, are ineffable, inconceivable, invisible, incomprehensible" beyond all categories and references of being. St Maximos says that the best we can do to describe this is that He is even beyond knowing and non-knowing, because we can understand both of those things. He is beyond the unknown and beyond unknowing; He is supra-non-knowable. And humans, through the grace and gift of God, have a capacity to supra-non-know God, experiencing God through an act of supra-non-knowing, receiving this supra-non-knowledge, and that's why we know the things we know, because we come to know God Himself. We experience God, and we
really experience Him, not some other thing. Those experiences are real.
This means even further that not only can we not understand God, we cannot even express it. As St John of Damascus said "Neither do we know, nor can we tell, what the essence of God is, or how it is in all, or how the Only-begotten Son and God, having emptied Himself, became Man of virgin blood, made by another law contrary to nature, or how He walked with dry feet upon the waters. It is not within our capacity, therefore, to say anything about God or even to think of Him, beyond the things which have been divinely revealed to us, whether by word or by manifestation, by the divine oracles at once of the Old Testament and of the New."
We know God only because He has made Himself known. And the truest and best expression of God is not logic or anything like it, but the righteous living lives which manifest both the person and the existence of God.
I do not have to accept that logic is part of the revelation of God, or some necessary part, or that we can use logic to establish some kind of criterion of truth against which to test revelation. I certainly do not have to accept is as some kind of philosophical form or eternal abstract with a quality of existence that you're putting forward as axiomatic. On the other hand, we should take great care to avoid expressing falsehoods, and logic is a mechanism to guard the cataphatic statements we do make against error. This makes it all the more important to understand its inherent limits.