Ordinal analysis

id: ordinal-analysis-218-3594187
title: Ordinal analysis
text: In proof theory, ordinal analysis assigns ordinals to mathematical theories as a measure of their strength. If theories have the same proof-theoretic ordinal they are often equiconsistent, and if one theory has a larger proof-theoretic ordinal than another it can often prove the consistency of the second theory. In addition to obtaining the proof-theoretic ordinal of a theory, in practice ordinal analysis usually also yields various other pieces of information about the theory being analyzed, fo
brand slug: wiki
category slug: encyclopedia
description: Mathematical technique used in proof theory
original url: https://en.wikipedia.org/wiki/Ordinal_analysis
date created: 2008-03-04T06:27:33Z
date modified: 2024-09-13T06:25:29Z
main entity: {"identifier":"Q7100782","url":"https://www.wikidata.org/entity/Q7100782"}
image:
fields total: 13
integrity: 15

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