By Lutz Geldsetzer,Richard L. Schwartz
This new quantity on common sense follows a recognizable structure that offers in flip with the themes of mathematical good judgment, relocating from innovations, through definitions and inferences, to theories and axioms. even though, this clean paintings deals a key innovation in its ‘pyramidal’ graph process for the logical formalization of these types of goods. the writer has built this new technique at the foundation of unique examine, conventional logical tools corresponding to Porphyrian timber, and glossy options of class, within which pyramids are the primary organizing idea. The pyramidal schema permits either the content material of thoughts and the kinfolk among the concept that positions within the pyramid to be learn off from the graph. Logical connectors are analyzed when it comes to the path within which they attach in the pyramid.
Additionally, the writer exhibits that logical connectors are of essentially differing kinds: just one kind generates propositions with fact values, whereas the opposite yields conceptual expressions or advanced techniques. in this foundation, powerful arguments are constructed opposed to adopting the non-discriminating connector definitions implicit in Wittgensteinian truth-value tables. specified attention is given to mathematical connectors with the intention to remove darkness from the formation of techniques within the average sciences. to teach what the pyramidal process can give a contribution to technology, a pyramid of the quantity recommendations known in arithmetic is developed. The booklet additionally counters the logical dogma of ‘false’ contradictory propositions and sheds new mild at the logical features of possible propositions, in addition to on syllogistic and different inferences.
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Additional info for Logical Thinking in the Pyramidal Schema of Concepts: The Logical and Mathematical Elements
Logical Thinking in the Pyramidal Schema of Concepts: The Logical and Mathematical Elements by Lutz Geldsetzer,Richard L. Schwartz