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Titlebook: Logical Thinking in the Pyramidal Schema of Concepts: The Logical and Mathematical Elements; Lutz Geldsetzer,Richard L. Schwartz Book 2013

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发表于 2025-3-21 19:40:59 | 显示全部楼层 |阅读模式
书目名称Logical Thinking in the Pyramidal Schema of Concepts: The Logical and Mathematical Elements
编辑Lutz Geldsetzer,Richard L. Schwartz
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概述Offers visual representation of all logical elements via pyramidal graph.Uses new methodology on the basis of Porphyrian trees as well as on modern concepts of classification.Sheds new light on the lo
图书封面Titlebook: Logical Thinking in the Pyramidal Schema of Concepts: The Logical and Mathematical Elements;  Lutz Geldsetzer,Richard L. Schwartz Book 2013
描述.This new volume on logic follows a recognizable format that deals in turn with the topics of mathematical logic, moving from concepts, via definitions and inferences, to theories and axioms. However, this fresh work offers a key innovation in its ‘pyramidal’ graph system for the logical formalization of all these items. The author has developed this new methodology on the basis of original research, traditional logical instruments such as Porphyrian trees, and modern concepts of classification, in which pyramids are the central organizing concept. The pyramidal schema enables both the content of concepts and the relations between the concept positions in the pyramid to be read off from the graph. Logical connectors are analyzed in terms of the direction in which they connect within the pyramid. .Additionally, the author shows that logical connectors are of fundamentally different types: only one sort generates propositions with truth values, while the other yields conceptual  expressions or complex concepts. On this basis, strong arguments are developed against adopting the non-discriminating connector definitions implicit in Wittgensteinian truth-value tables. Special considerati
出版日期Book 2013
关键词Axioms of logic; Classification concepts; Coherence vs; incoherence as truth-value conditions; Conceptu
版次1
doihttps://doi.org/10.1007/978-94-007-5301-3
isbn_softcover978-94-017-8444-3
isbn_ebook978-94-007-5301-3
copyrightSpringer Science+Business Media Dordrecht 2013
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On Concepts,ve and heuristic character of contradictory concepts 15 – The formal construction of contradictory concepts 17 – Dispositional concepts and their logical structure 18 – The contradictory structure of number-concepts 19 – The logical concept of prime number and the definition of primes . the application of the algorithms of non-primes 23.
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Book 2013s and inferences, to theories and axioms. However, this fresh work offers a key innovation in its ‘pyramidal’ graph system for the logical formalization of all these items. The author has developed this new methodology on the basis of original research, traditional logical instruments such as Porphy
发表于 2025-3-22 10:32:54 | 显示全部楼层
modern concepts of classification.Sheds new light on the lo.This new volume on logic follows a recognizable format that deals in turn with the topics of mathematical logic, moving from concepts, via definitions and inferences, to theories and axioms. However, this fresh work offers a key innovation
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On Theories,s statements of the theory 54 – Competing theories of the same data derive from different inductions 54 – On inductive and deductive theories 54 – On contradictions in theories and on dialectical theories 55 – On understanding and comparing different and especially competing theories 56 – On true understanding of false theories and vice versa 57.
发表于 2025-3-22 22:46:33 | 显示全部楼层
Lutz Geldsetzer,Richard L. SchwartzOffers visual representation of all logical elements via pyramidal graph.Uses new methodology on the basis of Porphyrian trees as well as on modern concepts of classification.Sheds new light on the lo
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https://doi.org/10.1007/978-94-007-5301-3Axioms of logic; Classification concepts; Coherence vs; incoherence as truth-value conditions; Conceptu
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