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Titlebook: Mathematical Logic; H.-D. Ebbinghaus,J. Flum,W. Thomas Textbook 19942nd edition Springer Science+Business Media New York 1994 Arithmetic.E

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發(fā)表于 2025-3-21 16:13:39 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Mathematical Logic
編輯H.-D. Ebbinghaus,J. Flum,W. Thomas
視頻videohttp://file.papertrans.cn/627/626206/626206.mp4
叢書名稱Undergraduate Texts in Mathematics
圖書封面Titlebook: Mathematical Logic;  H.-D. Ebbinghaus,J. Flum,W. Thomas Textbook 19942nd edition Springer Science+Business Media New York 1994 Arithmetic.E
描述What is a mathematical proof? How can proofs be justified? Are there limitations to provability? To what extent can machines carry out mathe- matical proofs? Only in this century has there been success in obtaining substantial and satisfactory answers. The present book contains a systematic discussion of these results. The investigations are centered around first-order logic. Our first goal is Godel‘s completeness theorem, which shows that the con- sequence relation coincides with formal provability: By means of a calcu- lus consisting of simple formal inference rules, one can obtain all conse- quences of a given axiom system (and in particular, imitate all mathemat- ical proofs). A short digression into model theory will help us to analyze the expres- sive power of the first-order language, and it will turn out that there are certain deficiencies. For example, the first-order language does not allow the formulation of an adequate axiom system for arithmetic or analysis. On the other hand, this difficulty can be overcome--even in the framework of first-order logic-by developing mathematics in set-theoretic terms. We explain the prerequisites from set theory necessary for this purpo
出版日期Textbook 19942nd edition
關鍵詞Arithmetic; Equivalence; Logic; Mathematische Logik; compactness theorem; mathematical logic; model theory
版次2
doihttps://doi.org/10.1007/978-1-4757-2355-7
isbn_ebook978-1-4757-2355-7Series ISSN 0172-6056 Series E-ISSN 2197-5604
issn_series 0172-6056
copyrightSpringer Science+Business Media New York 1994
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沙發(fā)
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dagli ultimi mesi della gestazione: le strutture cerebrali implicate nella memoria implicita sono l’amigdala, i nuclei della base e la corteccia motoria, la corteccia percettiva. Già a livello fetale vengono memorizzate dal feto le comunicazioni non verbali con la madre, mediate dalle espres
板凳
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H.-D. Ebbinghaus,J. Flum,W. Thomas della popolazione USA al riguardo (Signorini et al., 2011). La potenzialità dei SM nella promozione della salute in generale e di quella psicologica è oggetto di grande attenzione. L’impiego di SM quali TW è stato, ad esempio, considerato e positivamente valutato in caso di disastri ambientali, qua
地板
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H.-D. Ebbinghaus,J. Flum,W. Thomasema, sondern auch die verschiedenen Fach-Auffassungen der Neurose. Die ICD-10 als internationale Klassifikation psychischer St?rungen hat es aufgegeben, einen psychodynamischen Ansatz zu verwenden und beschr?nkt sich auf die Symptomatologie. In der DSM-IV wird auf den Begriff der Neurose ganz verzic
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H.-D. Ebbinghaus,J. Flum,W. Thomas name of neuroendocrine system has been adopted (Polak and Bloom, 1979). This “diffuse neuroendocrine system”, together with the classical neuroendocrine glands, constitute the most powerful controlling system of the body. Its full recognition is largely due to a number of technical advances includi
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發(fā)表于 2025-3-23 02:35:38 | 只看該作者
synthesis of the hormones takes place in the perikaryon within the NSG, which then move in a protoplasmic flow along the axon to the region of the nerve endings. It is in this region that, in response to appropriate stimuli, the release of the NSG, or their contents, into the blood stream is thought
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