現代集合論における巨大基数(<特集>あたらしい数理論理学の揺籃:証明論的な順序数と集合論的な順序数)

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  • Roles of Large Cardinals in Set Theory(<Special Section>New Developments in Logic: Proof-Theoretic Ordinals and Set-Theoretic Ordinals)
  • 現代集合論における巨大基数
  • ゲンダイ シュウゴウロン ニ オケル キョダイ キスウ

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This article is to give a brief survey of roles of large cardinals (those ordinals which are in certain sense very big) in set theory of our time. In particular, close relationship of the structure of the continuum to large cardinals is emphasized. We also mention the inner model method which is a comparable approach to large cardinal axioms, so that we could make clear the reason why large cardinals are so important.

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