Diagonalization in formal mathematics

著者

    • Santos, Paulo Guilherme

書誌事項

Diagonalization in formal mathematics

Paulo Guilherme Santos

(BestMasters)

Springer Spektrum, c2020

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注記

Includes bibliographical references

内容説明・目次

内容説明

In this book, Paulo Guilherme Santos studies diagonalization in formal mathematics from logical aspects to everyday mathematics. He starts with a study of the diagonalization lemma and its relation to the strong diagonalization lemma. After that, Yablo's paradox is examined, and a self-referential interpretation is given. From that, a general structure of diagonalization with paradoxes is presented. Finally, the author studies a general theory of diagonalization with the help of examples from mathematics.

目次

Diagonalization in Mathematics.- Diagonalization Lemma.- Fixed Point Theorems.- Paradoxes: Liar, Yablo's Paradox, Curry's Paradox.

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詳細情報

  • NII書誌ID(NCID)
    BC03018306
  • ISBN
    • 9783658291105
  • 出版国コード
    gw
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Wiesbaden
  • ページ数/冊数
    99 p.
  • 大きさ
    21 cm
  • 分類
  • 親書誌ID
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