#14
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Re: Preface: Going Further
Mathematicians assume the Axiom of Choice, which is based
on "faith"; of course, mathematics isn't exactly logic. There are compelling reasons to accept it as an axiom in professional mathematics; many proofs depend on it and some intuitively compelling theorems are equivalent to it. Very few mathematicians have less "faith"; e.g., for Constructivists, mathematical objects have to be constructed. In this world, we make some assumptions. Some have faith that there is truth in some absolute sense and some have faith in G-d. |
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