Diagonalization in formal mathematics

Author(s)

    • Santos, Paulo Guilherme

Bibliographic Information

Diagonalization in formal mathematics

Paulo Guilherme Santos

(BestMasters)

Springer Spektrum, c2020

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Note

Includes bibliographical references

Description and Table of Contents

Description

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.

Table of Contents

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

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Details

  • NCID
    BC03018306
  • ISBN
    • 9783658291105
  • Country Code
    gw
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Wiesbaden
  • Pages/Volumes
    99 p.
  • Size
    21 cm
  • Classification
  • Parent Bibliography ID
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