Large Cardinals, Inner Models, and Determinacy: An Introductory Overview

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The interaction between large cardinals, determinacy of two-person perfect information games, and inner model theory has been a singularly powerful driving force in modern set theory during the last three decades. For the outsider the intellectual excitement is often tempered by the somewhat daunting technicalities, and the seeming length of study needed to understand the flow of ideas. The purpose of this article is to try and give a short, albeit rather rough, guide to the broad lines of development.

Original languageEnglish
Pages (from-to)213-242
Number of pages30
JournalNotre Dame Journal of Formal Logic
Issue number1
Early online date24 Mar 2015
Publication statusPublished - Mar 2015


  • Determinacy
  • Inner models
  • Large cardinals


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