© 2011 – Routledge
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.
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
Are there elusive titles that you need and have been trying to source for years but thought that you would never be able to find?
Well this may be the end of your quest – here is a fantastic opportunity for you to discover past brilliance and purchase previously out of print and unavailable titles by some of the world’s most eminent academic scholars.
Drawing from over 100 years of innovative, cutting-edge, publishing Routledge Revivals is an exciting new programme whereby key titles from the distinguished and extensive backlist of the many acclaimed imprints associated with Routledge will be re-issued.
The programme draws upon the illustrious backlists of Kegan Paul, Trench & Trubner, Routledge & Kegan Paul, Methuen, Allen & Unwin and Routledge itself.
Routledge Revivals spans the whole of the Humanities and Social Sciences, and includes works by some of the world’s greatest thinkers including Emile Durkheim, Max Weber, Simone Weil, Martin Buber, Karl Jaspers and Max Beloff.
If you are interested in Revivals in the Behavioral Sciences, please visit https://www.routledge.com/series/PSYREVIVALS