Read e-book online Logic of Concept Expansion PDF

By Meir Buzaglo

ISBN-10: 0511016352

ISBN-13: 9780511016356

Scientists and mathematicians usually describe the improvement in their box as a method that comes with growth of ideas. Logicians commonly deny the opportunity of conceptual enlargement and the coherence of this description. Meir Buzaglo's cutting edge examine proposes a manner of increasing common sense to incorporate the stretching of thoughts, whereas editing the rules which it seems that block this danger. He deals stimulating discussions of the assumption of conceptual growth as a normative technique, and of the relation of the conceptual growth to fact, which means, reference, ontology, and paradox, and analyzes the perspectives of Kant, Wittgenstein, Godel, and others, paying specially shut consciousness to Frege. His publication should be of curiosity to quite a lot of readers, from philosophers (of good judgment, arithmetic, language, and technology) to logicians, mathematicians, linguists, and cognitive scientists.

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Steiner presents examples of cases where people attempted unsuccessfully to apply a concept to a physical system, and then found that a forced expansion would enable the concept to fit the system better. This provides Steiner with an argument against naturalism in science. Another application of expansions can be found in Manders (). Manders criticizes the discussion of ontology in mathematics for being too closely tied to physics. He proposes that mathematical objects emerge out of internal mathematical considerations, in order to simplify our study of the original systems.

It is necessary to see the relation between the community and the concept as similar to that between the community and an independent physical object like the sun, or between the community’s knowledge and the truth. The idea of the attempt to grasp something is generally familiar when the thing to be grasped is an object or the truth-value of a proposition, but not when it is a concept. Distinguishing the community from the concept is not the same sort of thing as distinguishing it from the truth.

This is exactly what is suggested by Dummett (, pp. , “what Frederick has always wanted to be”) that fail to refer (because there are several things that Frederick has always wanted to be). Frege’s opposition  must obtain their truth-value as if they were simple unstructured expressions.  Secondly, even if we admit that the sentence “Paradise Wood is a forest” is a non-decomposable string, thus differing from a sentence such as “Socrates is Greek,” we should not conclude from here that the last sentence cannot be analyzed at all.

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Logic of Concept Expansion by Meir Buzaglo

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