Frege, Dedekind, and Peano on the Foundations of Arithmetic (Routledge Revivals)

Donald Gillies (Autor)

Buch | Hardcover

116 Seiten

2011
Routledge (Verlag)
978-0-415-66709-8 (ISBN)

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First published in 1982, this reissue contains a critical exposition of the views of Frege, Dedekind and Peano on the foundations of arithmetic. The last quarter of the 19th century witnessed a remarkable growth of interest in the foundations of arithmetic. This work analyses both the reasons for this growth of interest within both mathematics and philosophy and the ways in which this study of the foundations of arithmetic led to new insights in philosophy and striking advances in logic.

This historical-critical study provides an excellent introduction to the problems of the philosophy of mathematics - problems which have wide implications for philosophy as a whole. This reissue will appeal to students of both mathematics and philosophy who wish to improve their knowledge of logic.

D. A. Gillies

1. Kant's Theory of Mathematics 2. Frege's Criticisms of Kant 3. Mill's Theory of Mathematics 4. Frege's Criticisms of Mill 5. The Concept of a Statement of Number is an Assertion About a Concept 6. Frege's Platonism 7. Frege's Logicism 8. Dedekind and Set Theory 9. Dedekind's Development of Arithmetic 10. Peano's Axioms. General Comparison of Frege, Dedekind and Peano 11. Frege's Begriffsschrift 12. Frege's Grundgesetze, and Russell's Paradox

Erscheint lt. Verlag	15.4.2011
Reihe/Serie	Routledge Revivals
Verlagsort	London
Sprache	englisch
Maße	138 x 216 mm
Gewicht	370 g
Themenwelt	Geisteswissenschaften ► Philosophie ► Logik
	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
	Mathematik / Informatik ► Mathematik ► Geschichte der Mathematik
	Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
ISBN-10	0-415-66709-7 / 0415667097
ISBN-13	978-0-415-66709-8 / 9780415667098
Zustand	Neuware