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EPISODE · Nov 17, 2021 · 14 MIN

Introduction to Ordinal Analysis

from Iowa Type Theory Commute · host Aaron Stump

Ordinal analysis is an important branch of proof theory, which seeks to compare, quantitatively, the strengths of different proof systems.  The quantities in question are ordinals, which extend the ordering character of natural numbers into the infinite.  In this episode, I discuss these ideas a bit further, and also review a little the ordinals up to epsilon 0.

Episode metadata supplied by the publisher feed · Published Nov 17, 2021

What this episode covers

Ordinal analysis is an important branch of proof theory, which seeks to compare, quantitatively, the strengths of different proof systems. The quantities in question are ordinals, which extend the ordering character of natural numbers into the infinite. In this episode, I discuss these ideas a bit further, and also review a little the ordinals up to epsilon 0.

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Introduction to Ordinal Analysis

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This episode was published on November 17, 2021.

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Ordinal analysis is an important branch of proof theory, which seeks to compare, quantitatively, the strengths of different proof systems.  The quantities in question are ordinals, which extend the ordering character of natural numbers into the...

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