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Titlebook: Logic and Structure; Dirk Dalen Textbook 19801st edition Springer-Verlag Berlin Heidelberg 1980 Goedel‘s theorem.basic model theory.comput

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發(fā)表于 2025-3-21 17:09:01 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Logic and Structure
編輯Dirk Dalen
視頻videohttp://file.papertrans.cn/588/587989/587989.mp4
叢書名稱Universitext
圖書封面Titlebook: Logic and Structure;  Dirk Dalen Textbook 19801st edition Springer-Verlag Berlin Heidelberg 1980 Goedel‘s theorem.basic model theory.comput
描述Logic appears in a ‘sacred‘ and in a ‘profane‘ form. The sacred form is dominant in proof theory, the profane form in model theory. The phenomenon is not unfamiliar, one observes this dichotomy also in other areas, e.g. set theory and recursion theory. For one reason or another, such as the discovery of the set theoretical paradoxes (Cantor, Russell), or the definability paradoxes (Richard, Berry), a subject is treated for some time with the utmost awe and diffidence. As a rule, however, sooner or later people start to treat the matter in a more free and easy way. Being raised in the ‘sacred‘ tradition, I was greatly surprised (and some- what shocked) when I observed Hartley Rogers teaching recursion theory to mathema- ticians as if it were just an ordinary course in, say, linear algebra or algebraic topology. In the course of time I have come to accept his viewpoint as the didac- tically sound one: before going into esoteric niceties one should develop a certain feeling for the subject and obtain a reasonable amount of plain working knowledge. For this reason I have adopted the profane attitude in this introductory text, reserving the more sacred approach for advanced courses. Rea
出版日期Textbook 19801st edition
關(guān)鍵詞Goedel‘s theorem; basic model theory; computability theory; first-order logic with natural deduction; in
版次1
doihttps://doi.org/10.1007/978-3-662-08402-1
isbn_ebook978-3-662-08402-1Series ISSN 0172-5939 Series E-ISSN 2191-6675
issn_series 0172-5939
copyrightSpringer-Verlag Berlin Heidelberg 1980
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沙發(fā)
發(fā)表于 2025-3-21 23:56:15 | 只看該作者
Propositional Logic,is. According to some traditional views reasoning consists of the building of chains of linguistic entities by means of a certain relation ‘... follows from ....’, a view which is good enough for our present purpose. The linguistic entities occurring in this kind of reasoning are taken to be ., i.e.
板凳
發(fā)表于 2025-3-22 04:00:38 | 只看該作者
Predicate Logic,age is patently insufficient for mathematical practice. A simple argument, such as “all squares are positive, 9 is a square, therefore 9 is positive” cannot be dealt with. From the propositional point of view the above sentence is of the form φ Λ ψ → σ, and there is no reason why this sentence shoul
地板
發(fā)表于 2025-3-22 07:28:14 | 只看該作者
5#
發(fā)表于 2025-3-22 12:34:49 | 只看該作者
Second-Order Logic,l elements a of |.| ...” and “there exists an element a of |.| ...”. We will now allow a second kind of variable ranging over subsets of the universe and its cartesian products, i.e. relations over the universe.
6#
發(fā)表于 2025-3-22 16:58:16 | 只看該作者
Appendix,we have employed a principle of definition by recursion which we, as yet, have to justify. There is a general theory of inductive definitions, but our present discussion deals only with a very simple special case.
7#
發(fā)表于 2025-3-22 19:06:52 | 只看該作者
Dirk van Dalen beherr- schenden Gesetzen. Die Abtrennung einzelner Zweige der Physik - so der Astro- nomie und Astrophysik, der Geophysik einschlie?lich der Wetterkunde - ist nur in den besonderen Methoden und dem gro?en Umfange derselben begründet. Zwischen der Chemie und der Physik gibt es heute keine scharfe G
8#
發(fā)表于 2025-3-22 23:31:47 | 只看該作者
9#
發(fā)表于 2025-3-23 05:10:55 | 只看該作者
Dirk van Dalenei erw?hnt und nur dann etwas ausführlicher besprochen, wenn aus ihnen auf einfache Weise etwas dem Zweck dieses Buches Entsprechendes zu lernen ist. Für die Vermitt- lung technischer Kenntnisse gibt es Spezialwerke, die den verschiedensten An- sprüchen genügen. Ein Lehrbuch der Physik kann und soll
10#
發(fā)表于 2025-3-23 06:21:13 | 只看該作者
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