Monthly Archives: April 2023

Nonstandard Models of Arithmetic 31

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MW: Last time we learned about the “back-and-forth” condition for two countable structures M and N for a (countable) language L:

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Nonstandard Models of Arithmetic 30

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MW: Time to finish off Enayat’s Theorem 7:

Theorem 7: Every countable recursively saturated model N of PA+ΦT is a T-standard model of PA.

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Nonstandard Models of Arithmetic 29

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MW: We’re still going through Enayat’s proof of his Theorem 7:

Theorem 7: Every countable recursively saturated model N of PA+ΦT is a T-standard model of PA.

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Filed under Conversations, Peano Arithmetic