Well maths always sounds good with all its allure of "purity" and "intellect". However I think one should remember that maths is basically some very-high level

Well maths always sounds good with all its allure of "purity" and "intellect". However I think one should remember that maths is basically some very-high level abstractions on our analog, chaotic world. Just like rigid linguistics/grammatical rules fail miserably in representing actual human languages, abstract maths probably also cannot claim to represent the real essence of the world that well. Even a statistical/neural network-style approach does it so much better. So yeah, if you're so into constructing and deconstructing abstruse abstractions, maybe do maths very seriously. But does it really represent the "truth" of life? I think that might be a bit dubious.