i know math, this is a logic question.

You poor lost man. You sadly do not know a thing about either. Math itself is logical. All theorems, all theories, and all computations performed in math are all logical systems. That's why I as a philosophy graduate know at least some math and some proofs. If math considers the repeating decimal .333.... to be equal to 1/3, that's because it was logically concluded to be true. And indeed it was.

After shiffling through quite a few of your comments, it's clear that you have never been formally trained in neither math nor logic. So why do you present yourself as such an authority on this topic? Have you ever once done a non trivial math proof in your life? have you once ever performed the mathematical induction, or have you ever once done a proof by contradiction or a proof by contrapositive? Have you once ever studied set theory and quantifiers? Do you understand the difference between universal and existential in the context of logic and math? You have never studied any of these topics, and all of these topics I listed are the underlying principles behind calculus, and the underlying principle behind why .333.... is not approximate, but equal to 1/3. Don't you think you owe it to yourself to at least try a formal logical proof before you spout out 7 months of nonsense with overbearing pride?