L
Langdell
Guest
Thanks for the tip on Barth. I’ve been wanting to explore his work ever since I heard how highly Pope Paul VI (?) spoke of him.Barth would be an excellent example, I think. His affirmation of God’s utter transcendence and of the folly of attempting to extrapolate from our logic to God’s nature is in part a reflection of these cultural developments. (I find myself in a lot of tension these days between Barth and Aquinas. I’m still basically loyal to Aquinas but I find Barth’s position challenging and thought-provoking.)
I wonder if we are not speaking at cross purposes here. Does non-Euclidean logic violate the law of non-contradiction? I am not well-versed in the complex subject of modern philosophical logic, but I didn’t think that the eternal validity of basic logical principles such as non-contradiction was at stake. Am I wrong?
As I understand it (I’m no expert!), the significance of non-Euclidean geometry is that it showed that a completely coherent geometry could be built up from axioms different from, and inconsistent with, those of Euclid. At first it was mainly a mathematical curiosity, but then, in the twentieth century, physicists found that the behavior of light in distant space is better explained & predicted by non-Euclidean geometry than by Euclidean geometry. So that forces one to wonder, which geometry is the “real” one?
My own thinking, as I mentioned above just now, is that logic(s) and math(s) are tools that God enabled us to create by giving us reason, memory, and observational powers. But I hesitate to say that these things are of God, because if we find better ways of reasoning and calculating, where would that leave God?
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