Incompleteness and Complexity

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Most people assume that mathematics lead to absolute certainty, but Kurt Gödel’s incompleteness theorems deny that result. Gregory Chaitin explains his own attempts to make sense of Godel’s incompleteness theorems. By looking for mathematical scenarios where the truth must look accidental, Chaitin hopes to gain insight to “what’s going on” in mathematical logic.

Original Program Date: June 4, 2010

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  1. World Science Festival
  2. Incompleteness and Complexity
  3. mathematics
  4. Kurt Godel
  5. incompleteness theorems
  6. mathematical logic
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Комментарии
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The Omega number is incredibly interesting. I saw the whole discussion, and it seemed like no one understood what Gregory was saying 😂
He's a genius! ⭐️

ElSmusso
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I don't think it's accurate to say that Godel pulled the rug out from underneath mathematics. It's just been pulled out from underneath us. And, no, math is most certainly not pure thought.

jherbranson
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That is it ...the baldy has finally cracked and gibberish is oozing out...

reimannx