- #1
Bachelier
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When I read the AC, "that the ∏ of a coll. of non-∅ sets is itself non-∅" I understand its meaning, yet I come short from understanding its cardinal importance in Axiomatic set theory.
I have no exposure "yet" in ZFC but I was hoping if someone could clarify to me why is it that AC is such an important axiom especially that Zermelo used it to formulate the well-ordering theorem. Being also that Set Theory is regarded as the foundation of Mathematics. (Disregarding Godel's work of course)
Thank you
I have no exposure "yet" in ZFC but I was hoping if someone could clarify to me why is it that AC is such an important axiom especially that Zermelo used it to formulate the well-ordering theorem. Being also that Set Theory is regarded as the foundation of Mathematics. (Disregarding Godel's work of course)
Thank you