# Download Proofs and Refutations: The Logic of Mathematical Discovery fb2

**John Worrall,Elie Zahar,Imre Lakatos**

- Author:John Worrall,Elie Zahar,Imre Lakatos
- ISBN:0521290384
- ISBN13:978-0521290388
- Genre:
- Publisher:Cambridge University Press; 1st edition (January 1, 1976)
- Pages:188 pages
- Subcategory:Mathematics
- Language:
- FB2 format1603 kb
- ePUB format1953 kb
- DJVU format1942 kb
- Rating:4.8
- Votes:446
- Formats:txt doc lrf mbr

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.

Proofs and Refutations is essential reading for all those interested in the methodology, the philosophy and the history of mathematics. 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.

Proofs and Refutations is essential reading for all those interested in the methodology, the philosophy and the . 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.

The Logic of Scient if ic Discovery ‘One of the most important philosophical works of our century

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by Imre Lakatos & John Worrall & Elie Zahar. Keep your face always toward the sunshine - and shadows will fall behind you. ― Walt Whitman. Stochastic equations through the eye of the physicist basic concepts, exact results and asymptotic approximations. 81 MB·15,664 Downloads·New! and initial data. This raises a host of challenging mathematical issues.

In this book the late Imre Lakatos explores 'the logic of discovery' and 'the logic of justification' as applied to.

In this book the late Imre Lakatos explores 'the logic of discovery' and 'the logic of justification' as applied to mathematics. The arguments presented are deep. but the author's lucid literary style greatly facilitates their comprehension. The book is destined to become a classic. In "Proofs and Refutations," Lakatos illustrates how a single mathematical theorem developed from a naive conjecture to its present (far more sophisticated) form through a gruelling process of criticism by counterexamples and subsequent improvements.

In this entertaining and oftentimes beautiful. speculation and criticism, by the logic of proofs and. refutations

Cambridge University Press, 1976, xii+174pp. In this entertaining and oftentimes beautiful. book the author takes a deep look at what he calls the dog-. refutations. Insofar as it contains contrary views, we. think that a treatise on the philosophy of mathematics is of.

Proofs and refutations : the logic of mathematical discovery.

Imre Lakatos, John Worrall, Elie Zahar. Imre Lakatos's Proofs and Refutations is an enduring classic, which has never lost its relevance.

Imre Lakatos, John Worrall, Elie Zahar. Taking the form of a dialogue between a teacher and some students, the book considers various solutions to mathematical problems and, in the process, raises important questions about the nature of mathematical discovery and methodology.

Proofs and Refutations book. Lakatos contrasts the formalist method of approaching mathematical history against his own, consciously "heuristic" approach. Instead of treating definitions as if they have been conjured up by divine insight to allow the mathematician to deduce theorems from the bottom up, the heuristic approach recognizes the very top down aspect of performing mathematics, by which definitions develop as a consequence of the refinement of proofs and their related concepts.