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For questions about the mathematical branch that is based on the study of sets, i.e. collections of objects.

3 votes
1 answer
854 views

How did ZFC become the standard foundations of mathematics?

I would like to hear about the historical and technical reasons for why Zermelo-Fraenkel set theory with the axiom of Choice became the dominant standard for the foundations of mathematics. The system …
Alex's user avatar
  • 275
7 votes
1 answer
476 views

Cantor, set theory and foundations

Did Georg Cantor ever think that set theory could serve as a foundational system for all of mathematics? He died in 1918, but Zermelo set theory (just Z, no ZF or ZFC yet) was described in a paper by …
Alex's user avatar
  • 275