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What does ZFC do that Peano arithmetic can't do?

1y 1mon ago by lemmy.world/u/jannaultheal in nostupidquestions

More precisely, is there a "natural" statement (a statement that isn't deliberately constructed to be an example) that can be stated in PA, proved in ZFC, but not provable in PA?

mo. abbr. please

To be fair these abbreviations are ubiquitously used.

Plz!

Well, Con(PA) is a "natural" statement I'd say, and ZFC proves Con(PA).

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