116c- Lecture 1

We presented the Zermelo-Fraenkel axioms and derived some immediate consequences. In particular, we discussed Russell’s paradox and how it implies that the universe V={x : x=x} is not a set.

We briefly mentioned some alternatives such as Peter Aczel’s antifoundation axiom or Quine’s New Foundations. Aczel’s book can be found here. A nice short introduction to Quine’s NF can be found here.

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2 Responses to 116c- Lecture 1

  1. Domenic says:

    I’m going to attempt to retype my notes this time around. So far I’ve finished lecture 1, so here are the results:

    http://www.domenicdenicola.com/School/Ma%20116C%20Notes.pdf

    Corrections or comments welcome. Hopefully I can keep this up!

  2. Great! This looks very nice, thank you. I’ll send some comments once I read your notes carefully.

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