Description

Book Synopsis
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.

Diagonalization in Formal Mathematics

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    A Paperback / softback by Paulo Guilherme Santos

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      View other formats and editions of Diagonalization in Formal Mathematics by Paulo Guilherme Santos

      Publisher: Springer Fachmedien Wiesbaden
      Publication Date: 05/01/2020
      ISBN13: 9783658291105, 978-3658291105
      ISBN10: 3658291109
      Also in:
      Mathematics Mathematical foundations Mathematical logic Philosophy: logic

      Description

      Book Synopsis
      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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