Ordinals and Cardinals

Serafim Batzoglou
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Chapter Chapter 9 in Introduction to Incompleteness, 2024, pp 155-178 from Springer

Abstract: Abstract Our focus so far has been on arithmetic, with only brief mentions of infinities beyond the countable. The next two topics require a deeper look at infinity. The first is Gentzen’s proof that induction up to the large countable ordinal ε 0 $$\varepsilon _0$$ implies the consistency of PA and is therefore independent of PA.

Date: 2024
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DOI: 10.1007/978-3-031-64217-3_9

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