Annals of the Japan Association for Philosophy of Science
Online ISSN : 1884-1228
Print ISSN : 0453-0691
ISSN-L : 0453-0691
Special Section: Computability Theory and the Foundation of Mathematics
Models of the Weak König Lemma
Tin Lok WONG
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2017 Volume 25 Pages 25-34

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Abstract

This paper surveys the model-theoretic aspects of two topics initiated by Kazuyuki Tanaka related to the Weak König Lemma: self-embedding, and conservativity for sentences of the form ∀X ∃!Y θ(X,Y), where θ(X,Y) is an arithmetical formula. It includes a few recent developments and proof sketches.

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© 2017 Annals of the Japan Association for Philosophy of Science
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