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How to Make all the Numbers from Nothing


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An overview of set theoretic arithmetic, quotient sets, and the real numbers #SoMe3

For the sake of brevity pretty much all details were swept under the rug, perhaps these resources will offer starting points for curious minds:

  • If you'd like to know more about the actual inductive proofs mentioned in the first part, check out https://www.youtube.com/watch?v=tJtUW1bQ83s
  • The square root of 2: https://www.youtube.com/watch?v=5sKah3pJnHI
  • The real numbers are uncountable: https://www.youtube.com/watch?v=23I5GS4JiDg
  • Complex numbers: https://www.youtube.com/watch?v=T647CGsuOVU
  • The p-adics: https://www.youtube.com/watch?v=3gyHKCDq1YA
  • Thank you for watching!

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