What are the philosophical prerequisites for the ZFC axioms?
Hey everyone, I want to discuss the philosophical motivations behind each of the ZFC axioms. Axioms are mathematically true by definition, but what philosophical worldview actually justifies them? For example, does the Axiom of Infinity require strict Platonism, or is it just about our cognitive ability to imagine such concepts? What about the philosophical reasoning behind the Axiom of Choice or Regularity? I'd love to hear your thoughts on the reasoning that grounds these axioms, or get recommendations for philosophers who have deeply explored the "why" behind ZFC.
u/Arlo_Tinkerman — 12 days ago