书目名称 | Diagonalization in Formal Mathematics |
编辑 | Paulo Guilherme Santos |
视频video | http://file.papertrans.cn/271/270815/270815.mp4 |
概述 | Publication in the field of natural sciences |
丛书名称 | BestMasters |
图书封面 |  |
描述 | 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. |
出版日期 | Book 2020 |
关键词 | Diagonalization; Self-reference; Paradoxes; Fixed points; Yablo’s paradox; Smullyan’s theorem; Curry’s par |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-658-29111-2 |
isbn_softcover | 978-3-658-29110-5 |
isbn_ebook | 978-3-658-29111-2Series ISSN 2625-3577 Series E-ISSN 2625-3615 |
issn_series | 2625-3577 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Fachmedien Wies |