The CD don't commute: Hilbert's program was a huge deal. It consumed a huge amount of time and resources from the best mathematicians of the time. It's well known for producing a major work by Russell and Whitehead called the Principia, which took hundreds of pages to work its way up to being able to prove that 1 + 1 = 2. It was a truly epic project; but if it were successful, it would have put all of mathematics on a sound basis. It would, in some deep and important sense, have completed mathematics.
Alas, Gödel's work blew Hilbert's program right out of the water. You can't built a complete, consistent system of mathematics.
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The CD don't commute:
Hilbert's program was a huge deal. It consumed a huge amount of time and resources from the best mathematicians of the time. It's well known for producing a major work by Russell and Whitehead called the Principia, which took hundreds of pages to work its way up to being able to prove that 1 + 1 = 2. It was a truly epic project; but if it were successful, it would have put all of mathematics on a sound basis. It would, in some deep and important sense, have completed mathematics.
Alas, Gödel's work blew Hilbert's program right out of the water. You can't built a complete, consistent system of mathematics.
Life is a biatch.
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