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:
    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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