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Titlebook: Diagonalization in Formal Mathematics; Paulo Guilherme Santos Book 2020 The Editor(s) (if applicable) and The Author(s), under exclusive l

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樓主
發(fā)表于 2025-3-21 18:01:45 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Diagonalization in Formal Mathematics
編輯Paulo Guilherme Santos
視頻videohttp://file.papertrans.cn/271/270815/270815.mp4
概述Publication in the field of natural sciences
叢書名稱BestMasters
圖書封面Titlebook: Diagonalization in Formal Mathematics;  Paulo Guilherme Santos Book 2020 The Editor(s) (if applicable) and The Author(s), under exclusive l
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
關(guān)鍵詞Diagonalization; Self-reference; Paradoxes; Fixed points; Yablo’s paradox; Smullyan’s theorem; Curry’s par
版次1
doihttps://doi.org/10.1007/978-3-658-29111-2
isbn_softcover978-3-658-29110-5
isbn_ebook978-3-658-29111-2Series ISSN 2625-3577 Series E-ISSN 2625-3615
issn_series 2625-3577
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Fachmedien Wies
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Conclusions and Future Work,n be applied to everyday Mathematics. We started to study in detail the Diagonalization Lemma in Chapter 3, then we moved to argue that Yablo’s Paradox is self-referential in Chapter 4. After that, in Chapter 5, we presented a common origin of several paradoxes and L?b’s Theorem; furthermore, we pre
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Preliminaries,[EFT96]. We will also assume the main definitions and results of Category Theory, a domain where we will use the right-to-left notation (in the rest we will use the usual function notation): . will denote, in the context of categories, the composition of . with . (see [Lan13] for more informations).
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R. Camassi,C.H. Caracciolo,V. Castelli[EFT96]. We will also assume the main definitions and results of Category Theory, a domain where we will use the right-to-left notation (in the rest we will use the usual function notation): . will denote, in the context of categories, the composition of . with . (see [Lan13] for more informations).
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