Logical Thinking in the Pyramidal Schema of Concepts: The Logical and Mathematical Elements

Language: English

Published by Springer, Springer Dez 2014, 2014

9401784442 / 9789401784443

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Seller: buchversandmimpf2000, Emtmannsberg, BAYE, Germanybuchversandmimpf2000

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This item is printed on demand - Print on Demand Titel. Neuware -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 consideration is given to mathematical connectors so as to illuminate the formation of concepts in the natural sciences. To show what the pyramidal method can contribute to science, a pyramid of the number concepts prevalent in mathematics is constructed. The book also counters the logical dogma of ¿false¿ contradictory propositions and sheds new light on the logical characteristics of probable propositions, as well as on syllogistic and other inferences.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 184 pp. Englisch.…

Seller Inventory # 9789401784443

Title
Logical Thinking in the Pyramidal Schema of Concepts: The Logical and Mathematical Elements
Author
Lutz Geldsetzer
Publisher
Springer, Springer Dez 2014
Publication year
2014
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
9401784442
ISBN 13
9789401784443
Item weight
289 grams
Dimensions
235x155x11 mm

buchversandmimpf2000

Emtmannsberg, BAYE, Germany

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