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An examination of the concept of numbers, concentrating mainly on the logicist point of view first clearly expounded by Frege that arithmetic can be 'reduced' to logic.
This volume investigates the foundational question of whether the principles of arithmetic can be entirely derived from the laws of logic. David Bostock, a scholar of ancient and modern philosophy, utilizes the logicist framework originally proposed by Gottlob Frege to analyze the nature of numbers. The text evaluates the success of this reductionist project by examining the definitions of natural numbers and the logical structures required to support them. Through a rigorous philosophical lens, the author explores the conceptual hurdles inherent in equating mathematical truths with logical axioms.
What You Will Find
Experts recognize this work as a significant contribution to the philosophy of mathematics, particularly for its clear exposition of complex logicist arguments. Readers frequently note the academic density of the prose, which is well-suited for students and researchers in formal logic and mathematical philosophy.
Page Count:
230
Publication Date:
1974-02-07
Publisher:
Oxford University Press
ISBN-10:
0198243669
ISBN-13:
9780198243663
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