標題: Titlebook: An Invitation to Mathematical Logic; David Marker Textbook 2024 The Editor(s) (if applicable) and The Author(s), under exclusive license t [打印本頁] 作者: Indigent 時間: 2025-3-21 18:46
書目名稱An Invitation to Mathematical Logic影響因子(影響力)
書目名稱An Invitation to Mathematical Logic影響因子(影響力)學科排名
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書目名稱An Invitation to Mathematical Logic網(wǎng)絡公開度學科排名
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書目名稱An Invitation to Mathematical Logic被引頻次學科排名
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書目名稱An Invitation to Mathematical Logic年度引用學科排名
書目名稱An Invitation to Mathematical Logic讀者反饋
書目名稱An Invitation to Mathematical Logic讀者反饋學科排名
作者: 巨頭 時間: 2025-3-21 21:04
0072-5285 s, including number theory, algebra, and combinatorics.Versa.In addition to covering the essentials, the author’s intention in writing this text is to entice the reader to further study mathematical logic. ?There is no current “standard text” for a first graduate course in mathematical logic and thi作者: 狗舍 時間: 2025-3-22 01:43 作者: inspired 時間: 2025-3-22 07:46
0072-5285 he heart of logic and to more sophisticated topics. Part I and Part IV center on foundational questions, while Part III establishes the fundamentals of computability. Part II develops model theory, highlighting978-3-031-55370-7978-3-031-55368-4Series ISSN 0072-5285 Series E-ISSN 2197-5612 作者: 草本植物 時間: 2025-3-22 09:18
An Invitation to Mathematical Logic978-3-031-55368-4Series ISSN 0072-5285 Series E-ISSN 2197-5612 作者: adequate-intake 時間: 2025-3-22 14:08
https://doi.org/10.1007/978-3-642-98984-1leteness of categorical theories. We show that the full theory of the field of complex numbers is axiomatized as the theory of algebraically closed fields of characteristic zero and give several consequences. Countable categoricity allows us to study dense linear orders and random graphs.作者: glowing 時間: 2025-3-22 20:24 作者: 果核 時間: 2025-3-22 22:05 作者: 遷移 時間: 2025-3-23 04:25 作者: 豐滿中國 時間: 2025-3-23 08:22 作者: Oratory 時間: 2025-3-23 09:56
Der Rundfunk und der Weltfunkvertrag,The ultraproduct construction is introduced and used to give an alternative proof of the Compactness Theorem.作者: hermetic 時間: 2025-3-23 14:28
Die Londoner Funkkonferenz 1912,A test for eliminating quantifiers is given and applied it to further study the model theory of algebraically closed fields.作者: 消息靈通 時間: 2025-3-23 21:21 作者: Opponent 時間: 2025-3-23 23:35 作者: GEON 時間: 2025-3-24 03:54
https://doi.org/10.1007/978-3-642-10271-4Turing’s universal machine is constructed and used to prove the undecidability of the Halting Problem and the undecidability of validity in first-order logic. We include a brief discussion of the Recursion Theorem.作者: placebo-effect 時間: 2025-3-24 09:07
https://doi.org/10.1007/978-3-642-10271-4We introduce the computably enumerable sets and the arithmetic sets and show that the form a hierarchy. These results, and the existence of computably inseparable computably enumerably sets, will be used in our approach to the Incompleteness Theorem. We briefly study Kolmogorov randomness as another avatar of incompleteness phenomena.作者: Decimate 時間: 2025-3-24 12:11 作者: 偽書 時間: 2025-3-24 15:41
https://doi.org/10.1007/978-3-642-10271-4G?del’s Incompleteness Theorems are proved. We show that the sets definable in the natural numbers are exactly the arithmetic sets. The Arithmetized Completeness Theorem is used to give an alternative proof of the Second Incompleteness Theorem.作者: 轉(zhuǎn)向 時間: 2025-3-24 19:55 作者: 摻假 時間: 2025-3-25 00:47
,Fünfter Teil: Thesen der Arbeit,We bound the growth rate of computable functions provably total in Peano Arithmetic. This is applied to show the independence of Goodstein’s number theoretic result. Proof theoretic methods, including cut-elimination, are introduced to prove the main result.作者: dissolution 時間: 2025-3-25 07:09
Languages, Structures, and TheoriesWe introduce the fundamental concepts of mathematical logic: languages, structures, satisfaction, theories, logical consequences, and definable sets.作者: NOTCH 時間: 2025-3-25 08:58 作者: 污穢 時間: 2025-3-25 15:18 作者: 仔細閱讀 時間: 2025-3-25 19:40
G?del’s Completeness TheoremUsing the ideas of Henkin, G?del’s Completeness Theorem is proved, showing that our proof system completely captures the notion of logical consequence.作者: Eclampsia 時間: 2025-3-25 23:13
UltraproductsThe ultraproduct construction is introduced and used to give an alternative proof of the Compactness Theorem.作者: Lamina 時間: 2025-3-26 00:39 作者: aggrieve 時間: 2025-3-26 08:15
Model Theory of the Real FieldWe study the model theory of the real field, proving Tarski’s quantifier elimination and decidability results and studying its consequences. We include a brief discussion on more recent work on o-minimal expansions of the real field and exponentiation.作者: 使苦惱 時間: 2025-3-26 11:01
Models of ComputationRegister machines are introduced as a machine-based model of computation. We show that register machines compute exactly the class of general recursive functions and formulate the Church–Turing thesis that this is exactly the collection of computable functions.作者: Carminative 時間: 2025-3-26 13:09
Universal Machines and UndecidabilityTuring’s universal machine is constructed and used to prove the undecidability of the Halting Problem and the undecidability of validity in first-order logic. We include a brief discussion of the Recursion Theorem.作者: Minutes 時間: 2025-3-26 20:23
Computably Enumerable and Arithmetic SetsWe introduce the computably enumerable sets and the arithmetic sets and show that the form a hierarchy. These results, and the existence of computably inseparable computably enumerably sets, will be used in our approach to the Incompleteness Theorem. We briefly study Kolmogorov randomness as another avatar of incompleteness phenomena.作者: enchant 時間: 2025-3-27 00:55
Turing ReducibilityTuring reducibility is introduced as a notion of relative complexity and we study the relationship between the arithmetic hierarchy and the jump operator. Several advanced constructions in computability are surveyed, including the construction of incomparable sets, minimal degrees, and an incomplete non-computable computably enumerable set.作者: Encoding 時間: 2025-3-27 01:35 作者: 愚笨 時間: 2025-3-27 06:03
Hilbert’s Tenth ProblemWe discus parts of the negative solution to Hilbert’s tenth Problem, showing that there is no algorithm to decide if a Diophantine equation has an integer solution.作者: obligation 時間: 2025-3-27 11:16 作者: EWE 時間: 2025-3-27 15:39
https://doi.org/10.1007/978-3-031-55368-4Mathematical logic textbook; Completeness theorem; Incompleteness theorem; Quantifier elimination; Model作者: Offbeat 時間: 2025-3-27 19:17
978-3-031-55370-7The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl作者: 小歌劇 時間: 2025-3-27 23:20
Compactness and Complete Theoriesleteness of categorical theories. We show that the full theory of the field of complex numbers is axiomatized as the theory of algebraically closed fields of characteristic zero and give several consequences. Countable categoricity allows us to study dense linear orders and random graphs.作者: 收藏品 時間: 2025-3-28 03:26 作者: MORT 時間: 2025-3-28 07:21 作者: 難管 時間: 2025-3-28 14:15
https://doi.org/10.1007/978-3-642-98984-1leteness of categorical theories. We show that the full theory of the field of complex numbers is axiomatized as the theory of algebraically closed fields of characteristic zero and give several consequences. Countable categoricity allows us to study dense linear orders and random graphs.作者: 通情達理 時間: 2025-3-28 15:02 作者: 編輯才信任 時間: 2025-3-28 18:45
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