captivecuties
Governor
Point taken and well put.More of a is math independent from physics (as in, there are mathematical concepts that don't make sense IRL) or is math just an an abstraction from physical realities and therefore ultimately dependent on physics kinda thing. Now, the science of physics is nothing more than the effort to translate observed phenomena into the language of mathematics (we don't know what or why these phenomena in themselves are, we just describe them) and to check if these translations are accurate by comparing extrapolations from these translations to experiments. Based on this, one could argue that mathematics are independent from physics, because mathematics are necessary to conduct the science of physics, e.g. without math no physics.
However, if you take a look at the early history of mathematics, they were basically nothing more than early physics. When a primitive human counted 3 bananas, he did nothing else than translate the "threeness" of what he saw into an abstract language. This allowed him to apply the same threeness to other things, however, this threeness is still derived from those bananas (or any other set of three objects), so it has its origin in physical reality. In a way, modern physics are exactly the same thing, just on a much grander and more complex scale.
I think this question is important, because IF mathematics depend on physics, then there is a possibility, that mathematics ultimately don't make sense. What if the universe is ultimately illogical? What if it just seems to make sense to us because we are limited beings? What if it just makes sense on an "emergent" level, but not on a fundamental one, a level not perceivable by humans? Just look at the troubles physicists have to create a coherent physical theory. Currently, it seems to be impossible.
Well, our failure to come up with a coherent physical theory might just be an indicator that our physics are simply wrong or that we haven't found the solution yet. But if it indeed is impossible and our sub-theories are right - and if math is indeed dependent on physics - then this would make our universe really creepy. Almost lovecraftian.
Don't get me wrong, I sympathize with Platonists, I really do. But questions like this still come up from time to time.
If then, perhaps as in most human things…we apply mathematics to explain the strange physical things we observe to give a sense of meaning and order that will provide us a feeling of security.
Like not fearing the Cthulhu under the bed.
And the witness anomalies through the centuries are indeed that Lovecraftien merging of the other into our own from time to time.