Diagonalization in Formal Mathematics
| By: | Paulo Guilherme Santos |
| Publisher: | Springer Nature |
| Print ISBN: | 9783658291105 |
| eText ISBN: | 9783658291112 |
| Edition: | 0 |
| Copyright: | 2020 |
| Format: | Page Fidelity |
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Table of Contents
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.