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Titlebook: Logical Foundations of Mathematics and Computational Complexity; A Gentle Introductio Pavel Pudlák Book 2013 Springer International Publish

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發(fā)表于 2025-3-21 18:16:41 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Logical Foundations of Mathematics and Computational Complexity
副標(biāo)題A Gentle Introductio
編輯Pavel Pudlák
視頻videohttp://file.papertrans.cn/589/588151/588151.mp4
概述Presents a wide range of results in logic and computational complexity.Explains the topic informally and then in more detail for the advanced reader.Presents the ideas behind the theoretical concepts.
叢書名稱Springer Monographs in Mathematics
圖書封面Titlebook: Logical Foundations of Mathematics and Computational Complexity; A Gentle Introductio Pavel Pudlák Book 2013 Springer International Publish
描述.The two main themes of this book, logic and complexity, are both essential for understanding the main problems about the foundations of mathematics. .Logical Foundations of Mathematics and Computational Complexity. covers a broad spectrum of results in logic and set theory that are relevant to the foundations, as well as the results in computational complexity and the interdisciplinary area of proof complexity. The author presents his ideas on how these areas are connected, what are the most fundamental problems and how they should be approached. In particular, he argues that complexity is as important for foundations as are the more traditional concepts of computability and provability..Emphasis is on explaining the essence of concepts and the ideas of proofs, rather than presenting precise formal statements and full proofs. Each section starts with concepts and results easily explained, and gradually proceeds to more difficult ones. The notes after each section present some formal definitions, theorems and proofs..Logical Foundations of Mathematics and Computational Complexity. is aimed at graduate students of all fields of mathematics who are interested in logic, complexity and
出版日期Book 2013
關(guān)鍵詞Complexity of Proofs; Computational Complexity; Foundations of Mathematics; Incompleteness Theorems; Mat
版次1
doihttps://doi.org/10.1007/978-3-319-00119-7
isbn_softcover978-3-319-34268-9
isbn_ebook978-3-319-00119-7Series ISSN 1439-7382 Series E-ISSN 2196-9922
issn_series 1439-7382
copyrightSpringer International Publishing Switzerland 2013
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 21:11:15 | 只看該作者
Language, Logic and Computations,on of the language used in mathematics. We explain how this language is applied to mathematical structures, which are called models in this context. We show how proofs, the main product of mathematical research, are formalized. We also present the main concepts of the theory of computations. Finally
板凳
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地板
發(fā)表于 2025-3-22 06:13:41 | 只看該作者
Proofs of Impossibility,problems using algorithms. In order to put the things into a historical context, we start with classical results from geometry and algebra. We explain G?del’s incompleteness theorems and sketch their proofs. We show the algorithmic undecidability of the halting problem. We present concrete theorems
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Consistency, Truth and Existence,the second section, we discuss consistency statements, reflection principles and theories obtained by transfinite iterations of these principles. Furthermore, we present some results of the program of using large cardinals to cope with incompleteness in set theory. In the final section, we present t
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發(fā)表于 2025-3-22 22:22:27 | 只看該作者
ion. A fundamental one is to use social epistemology to assess the ability of the system science-politics to improve or to weaken the rate of growth of knowledge in science and of utilization of the best knowledge in public policy decisions. The thesis of this article is that nowadays the system of
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發(fā)表于 2025-3-23 02:57:39 | 只看該作者
Pavel Pudlákion. A fundamental one is to use social epistemology to assess the ability of the system science-politics to improve or to weaken the rate of growth of knowledge in science and of utilization of the best knowledge in public policy decisions. The thesis of this article is that nowadays the system of
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發(fā)表于 2025-3-23 08:45:25 | 只看該作者
Pavel Pudláka’s influence.Offers a comparative study of two prominent sc.This book is a comparative study of two major Shī?ī thinkers ?amīd al-Dīn Kirmānī from the Fatimid Egypt and Mullā ?adrā from the Safavid Iran, demonstrating the mutual empowerment of discourses on knowledge formation and religio-political
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