书目名称 | Logical Thinking in the Pyramidal Schema of Concepts: The Logical and Mathematical Elements | 编辑 | Lutz Geldsetzer,Richard L. Schwartz | 视频video | | 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 |  | 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 | doi | https://doi.org/10.1007/978-94-007-5301-3 | isbn_softcover | 978-94-017-8444-3 | isbn_ebook | 978-94-007-5301-3 | copyright | Springer Science+Business Media Dordrecht 2013 |
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