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Proofs And Refutations

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Proofs And Refutations

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Author : Imre Lakatos
language : en
Publisher: Cambridge University Press
Release Date : 1976

Proofs And Refutations written by Imre Lakatos and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Mathematics categories.

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

Proofs And Refutations

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Author : Imre Lakatos
language : en
Publisher: Cambridge University Press
Release Date : 1976-01-01

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.

Explanation And Proof In Mathematics

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Author : Gila Hanna
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-12-04

Explanation And Proof In Mathematics written by Gila Hanna and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-04 with Education categories.

In the four decades since Imre Lakatos declared mathematics a "quasi-empirical science," increasing attention has been paid to the process of proof and argumentation in the field -- a development paralleled by the rise of computer technology and the mounting interest in the logical underpinnings of mathematics. Explanantion and Proof in Mathematics assembles perspectives from mathematics education and from the philosophy and history of mathematics to strengthen mutual awareness and share recent findings and advances in their interrelated fields. With examples ranging from the geometrists of the 17th century and ancient Chinese algorithms to cognitive psychology and current educational practice, contributors explore the role of refutation in generating proofs, the varied links between experiment and deduction, the use of diagrammatic thinking in addition to pure logic, and the uses of proof in mathematics education (including a critique of "authoritative" versus "authoritarian" teaching styles). A sampling of the coverage: The conjoint origins of proof and theoretical physics in ancient Greece. Proof as bearers of mathematical knowledge. Bridging knowing and proving in mathematical reasoning. The role of mathematics in long-term cognitive development of reasoning. Proof as experiment in the work of Wittgenstein. Relationships between mathematical proof, problem-solving, and explanation. Explanation and Proof in Mathematics is certain to attract a wide range of readers, including mathematicians, mathematics education professionals, researchers, students, and philosophers and historians of mathematics.

Lettre De M Bertin Crite De Versailles L Intendant De Lyon Au Sujet Des Mines De Rive De Gier 22 Juillet 1779

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Author :
language : en
Publisher:
Release Date :

Lettre De M Bertin Crite De Versailles L Intendant De Lyon Au Sujet Des Mines De Rive De Gier 22 Juillet 1779 written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

For And Against Method

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Author : Imre Lakatos
language : en
Publisher: University of Chicago Press
Release Date : 1999

For And Against Method written by Imre Lakatos and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Philosophy categories.

The text opens with an imaginary dialogue between Lakatos and Feyerabend, which Matteo Motterlini has constructed, based on their published works, to synthesize their positions and arguments. Part one presents the transcripts of the last lectures on method that Lakatos delivered. Part two, Feyerabend's response, consists of a previously published essay on anarchism, which began the attack on Lakatos's position that Feyerabend later continued in "Against Method." The third and longest section consists of the correspondence Lakatos and Feyerabend exchanged on method and many other issues and ideas, as well as the events of their daily lives, between 1968 and Lakatos's death in 1974.

Imre Lakatos And The Guises Of Reason

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Author : John Kadvany
language : en
Publisher: Duke University Press
Release Date : 2001-04-09

Imre Lakatos And The Guises Of Reason written by John Kadvany and has been published by Duke University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-04-09 with Philosophy categories.

The Hungarian émigré Imre Lakatos (1922–1974) earned a worldwide reputation through the influential philosophy of science debates involving Thomas Kuhn, Paul Feyerabend, and Sir Karl Popper. In Imre Lakatos and the Guises of Reason John Kadvany shows that embedded in Lakatos’s English-language work is a remarkable historical philosophy rooted in his Hungarian past. Below the surface of his life as an Anglo-American philosopher of science and mathematics, Lakatos covertly introduced novel transformations of Hegelian and Marxist ideas about historiography, skepticism, criticism, and rationality. Lakatos escaped Hungary following the failed 1956 Revolution. Before then, he had been an influential Communist intellectual and was imprisoned for years by the Stalinist regime. He also wrote a lost doctoral thesis in the philosophy of science and participated in what was criminal behavior in all but a legal sense. Kadvany argues that this intellectual and political past animates Lakatos’s English-language philosophy, and that, whether intended or not, Lakatos integrated a penetrating vision of Hegelian ideas with rigorous analysis of mathematical proofs and controversial histories of science. Including new applications of Lakatos’s ideas to the histories of mathematical logic and economics and providing lucid exegesis of many of Hegel’s basic ideas, Imre Lakatos and the Guises of Reason is an exciting reconstruction of ideas and episodes from the history of philosophy, science, mathematics, and modern political history.

An Introduction To The Philosophy Of Mathematics

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Author : Mark Colyvan
language : en
Publisher: Cambridge University Press
Release Date : 2012-06-14

An Introduction To The Philosophy Of Mathematics written by Mark Colyvan and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-14 with Mathematics categories.

A fascinating journey through intriguing mathematical and philosophical territory - a lively introduction to this contemporary topic.

Lakatos

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Author : Brendan Larvor
language : en
Publisher: Psychology Press
Release Date : 1998

Lakatos written by Brendan Larvor and has been published by Psychology Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.

Lakatos: An Introduction provides a thorough overview of both Lakatos's thought and his place in twentieth century philosophy. It is an essential and insightful read for students and anyone interested in the philosophy of science.

Proofs And Refutations

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Author : Imre Lakatos
language : en
Publisher: Cambridge University Press
Release Date : 2015-10-08

Imre Lakatos's Proofs and Refutations is an enduring classic, which has never lost its relevance. 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. Lakatos shows that mathematics grows through a process of improvement by attempts at proofs and critiques of these attempts, and his work continues to inspire mathematicians and philosophers aspiring to develop a philosophy of mathematics that accounts for both the static and the dynamic complexity of mathematical practice. With a specially commissioned Preface written by Paolo Mancosu, this book has been revived for a new generation of readers.

Proofs And Refutations

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