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  3. Mathematical Logic with Special Reference to the Natural Numbers
  • Cited by 2
Publisher:
Cambridge University Press
Online publication date:
October 2011
Print publication year:
1972
Online ISBN:
9780511897320
DOI:
https://doi.org/10.1017/CBO9780511897320
Subjects:
Mathematics, Logic, Categories and Sets, Philosophy of Science, Philosophy
Information

Book description

This book presents a comprehensive treatment of basic mathematical logic. The author's aim is to make exact the vague, intuitive notions of natural number, preciseness, and correctness, and to invent a method whereby these notions can be communicated to others and stored in the memory. He adopts a symbolic language in which ideas about natural numbers can be stated precisely and meaningfully, and then investigates the properties and limitations of this language. The treatment of mathematical concepts in the main body of the text is rigorous, but, a section of 'historical remarks' traces the evolution of the ideas presented in each chapter. Sources of the original accounts of these developments are listed in the bibliography.

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