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2min chapter
Math as a perspective on life (with Marcus du Sautoy)
Clearer Thinking with Spencer Greenberg
Girdles in Completeness
mathematics is about taking axioms. This is where we all begin, the fundamental truths we think about and then use proof to see the logical consequences of that. But Girdle says that's a hopeless task - there will always be things missing. So maybe I've been working on this conjecture for 15 years but it isn't true. And you know, one thought is, well, if it is true, why not just add it as an axiom? And Girdle's incompleteness theorem, everything will still remain incomplete. There's no way to complete the thing by adding another axiom.
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