Question about Mathematics - William Rapaport responds

Hello philosophers, I have yet another question. This time it's on the fundamental foundations of mathematics. I would like to know what Gödel's incompleteness theorem and inconsistency theorem
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Hello philosophers, I have yet another question. This time it's on the fundamental foundations of mathematics. I would like to know what Gödel's incompleteness theorem and inconsistency theorem actually stated. Intuitively, math seems logical, in the physical world, if you have two inanimate objects say two pencils laying on the table is it not logical that if you take one away you are only left with one on the table? An ex- professor of mine once told us in mathematics that ZF math was inconsistant and if we could prove that math does not work not only would we win a Fields Prize but we would also be the Herod of children all over the world ( assuming kids don't like to learn fundamental mathematics). Thank You again, Dale G. Response from: William Rapaport You asked what Goedel's incompleteness and inconsistency theorems state.Goedel proved two theorems known as his incompleteness theorems; I don't know of any called an "inconsistency" theorem (of course, he proved many other. . .

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