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Titlebook: Mathematical Logic; Foundations for Info Wei Li Book 20101st edition Birkh?user Basel 2010 Arithmetic.G?del theorem.Lemma.calculus.first-or

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發(fā)表于 2025-3-21 19:04:53 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱(chēng)Mathematical Logic
副標(biāo)題Foundations for Info
編輯Wei Li
視頻videohttp://file.papertrans.cn/627/626207/626207.mp4
概述Research monograph of textbook style with well-structured presentation and formal proofs for all theoretical results, illustrated by concrete examples.New ideas and methodologies from information scie
叢書(shū)名稱(chēng)Progress in Computer Science and Applied Logic
圖書(shū)封面Titlebook: Mathematical Logic; Foundations for Info Wei Li Book 20101st edition Birkh?user Basel 2010 Arithmetic.G?del theorem.Lemma.calculus.first-or
描述.Mathematical logic is a branch of mathematics that takes axiom systems and mathematical proofs as its objects of study. This book shows how it can also provide a foundation for the development of information science and technology. The first five chapters systematically present the core topics of classical mathematical logic, including the syntax and models of first-order languages, formal inference systems, computability and representability, and G?del’s theorems. The last five chapters present extensions and developments of classical mathematical logic, particularly the concepts of version sequences of formal theories and their limits, the system of revision calculus, proschemes (formal descriptions of proof methods and strategies) and their properties, and the theory of inductive inference. All of these themes contribute to a formal theory of axiomatization and its application to the process of developing information technology and scientific theories. The book also describes the paradigm of three kinds of language environments for theories and it presents the basic properties required of a meta-language environment. Finally, the book brings these themes together by describing
出版日期Book 20101st edition
關(guān)鍵詞Arithmetic; G?del theorem; Lemma; calculus; first-order language; forcing; formal calculus; inference syste
版次1
doihttps://doi.org/10.1007/978-3-7643-9977-1
isbn_ebook978-3-7643-9977-1Series ISSN 2297-0576 Series E-ISSN 2297-0584
issn_series 2297-0576
copyrightBirkh?user Basel 2010
The information of publication is updating

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發(fā)表于 2025-3-21 21:06:51 | 只看該作者
Formal Inference Systems,lso satisfied. The definition of logical consequence refers to the logical semantics of formulas. Essentially, it means that, however we interpret the terms in the formulas, the truth of A always follows the truth of Γ. This is consistent with our normal understanding of the concept of logical conse
板凳
發(fā)表于 2025-3-22 03:07:49 | 只看該作者
Computability & Representability, .. In computer science, the former is the specification for the software while the latter consists of the actual algorithms and programs used to implement the software. These two kinds of knowledge describe two different aspects of the same thing. Specificational knowledge describes the object by i
地板
發(fā)表于 2025-3-22 07:21:23 | 只看該作者
,G?del Theorems, of the logical conclusions from the axioms. The logical conclusions are propositions deduced from the axioms by using inference rules, which are independent of the domain. Therefore, the question whether a given proposition is a logical conclusion only depends on the axioms.
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Inductive Inference,ct, such as Bacon, Mill, Hume, Herschel, Poincaré, Peirce, Reichenbach, Carnap and Popper. The Chinese logician Mo [1993] has also made a profound study of its subtleties. Before exploring induction theoretically, we will give an overview of the relevant concepts.
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Wei Li for predator defense by the most rapid known synchronous process: single events lasting <1?ms and <80?ms for the whole population of stimulated cells. The second type is the periodic release of water and excess of ions, notably Ca., by the contractile vacuole complex which thus serves for osmoregul
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