Diagonalization in Formal Mathematics

by Paulo Guilherme Santos

Overview

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.

Product Details

ISBN-13:	9783658291105
Publisher:	Springer Fachmedien Wiesbaden
Publication date:	01/04/2020
Series:	BestMasters
Edition description:	1st ed. 2020
Pages:	89
Product dimensions:	5.83(w) x 8.27(h) x (d)

About the Author

Paulo Guilherme Santos is currently a PhD student at FCT, Universidade Nova de Lisboa, Portugal and at University of Tübingen, Germany. His field of work is logic, e.g. formal arithmetic, provability logic, provability predicates, and paradoxes.

Table of Contents

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