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 The Cambridge Companion to Habermas by
Cover of the book The Cambridge Companion to Hannah Arendt by
Cover of the book Beyond the Rope by
Cover of the book The Old Regime and the Haitian Revolution by
Cover of the book The Cambridge Companion to Spinoza by
Cover of the book Econometric Modelling with Time Series by
Cover of the book Mobilising International Law for 'Global Justice' by
Cover of the book Opera in the Age of Rousseau by
Cover of the book Virginia Woolf and the Study of Nature by
Cover of the book Essential Mathematical Methods for the Physical Sciences by
Cover of the book The Decline of Mercy in Public Life by
Cover of the book Relativistic Quantum Physics by
Cover of the book Writing and Society by
Cover of the book Handbook of RF and Microwave Power Amplifiers by
Cover of the book Justice and Self-Interest 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