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This book studies the important issue of the possibility of conceptual change--a possibility traditionally denied by logicians--from the perspective of philosophy of mathematics. The author also looks at aspects of language, and his conclusions have implications for a theory of concepts, truth and thought. The book will appeal to readers in the philosophy of mathematics, logic, and the philosophy of mind and language.
The operation of developing a concept is a common procedure in
mathematics and in natural science, but has traditionally seemed
much less possible to philosophers and, especially, logicians. Meir
Buzaglo's innovative study proposes a way of expanding logic to
include the stretching of concepts, while modifying the principles
which block this possibility. He offers stimulating discussions of
the idea of conceptual expansion as a normative process, and of the
relation of conceptual expansion to truth, meaning, reference,
ontology and paradox, and analyzes the views of Kant, Wittgenstein,
Godel, and others, paying especially close attention to Frege. His
book will be of interest to a wide range of readers, from
philosophers (of logic, mathematics, language, and science) to
logicians, mathematicians, linguists, and cognitive scientists.
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