Proofs and Refutations

The Logic of Mathematical Discovery

Nonfiction, Religion & Spirituality, Philosophy, Logic, Science & Nature, Science, Other Sciences, Philosophy & Social Aspects
Cover of the book Proofs and Refutations by , Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: ISBN: 9781107263451
Publisher: Cambridge University Press Publication: January 1, 1976
Imprint: Cambridge University Press Language: English
Author:
ISBN: 9781107263451
Publisher: Cambridge University Press
Publication: January 1, 1976
Imprint: Cambridge University Press
Language: English

Proofs and Refutations is essential reading for all those interested in the methodology, the philosophy and the history of mathematics. Much of the book takes the form of a discussion between a teacher and his students. They propose various solutions to some mathematical problems and investigate the strengths and weaknesses of these solutions. Their discussion (which mirrors certain real developments in the history of mathematics) raises some philosophical problems and some problems about the nature of mathematical discovery or creativity. Imre Lakatos is concerned throughout to combat the classical picture of mathematical development as a steady accumulation of established truths. He shows that mathematics grows instead through a richer, more dramatic process of the successive improvement of creative hypotheses by attempts to 'prove' them and by criticism of these attempts: the logic of proofs and refutations.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

Proofs and Refutations is essential reading for all those interested in the methodology, the philosophy and the history of mathematics. Much of the book takes the form of a discussion between a teacher and his students. They propose various solutions to some mathematical problems and investigate the strengths and weaknesses of these solutions. Their discussion (which mirrors certain real developments in the history of mathematics) raises some philosophical problems and some problems about the nature of mathematical discovery or creativity. Imre Lakatos is concerned throughout to combat the classical picture of mathematical development as a steady accumulation of established truths. He shows that mathematics grows instead through a richer, more dramatic process of the successive improvement of creative hypotheses by attempts to 'prove' them and by criticism of these attempts: the logic of proofs and refutations.

More books from Cambridge University Press

Cover of the book A Primer of Botanical Latin with Vocabulary by
Cover of the book Group Theory by
Cover of the book The Long Struggle against Malaria in Tropical Africa by
Cover of the book T. S. Eliot and the Dynamic Imagination by
Cover of the book Post-Soviet Power by
Cover of the book Numerical and Statistical Methods for Bioengineering by
Cover of the book The Cambridge Companion to Modern British Women Playwrights by
Cover of the book The Civil Rights Movement and the Logic of Social Change by
Cover of the book Arab Water Security by
Cover of the book Orthogonal Polynomials of Several Variables by
Cover of the book Understanding Education and Educational Research by
Cover of the book Reaching for the Sun by
Cover of the book The Language of Humor by
Cover of the book Modernism and the Machinery of Madness by
Cover of the book International Dispute Settlement by
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy