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Author: Imre Lakatos
Publisher: Cambridge University Press
ISBN: 9780521290388
Category : Mathematics
Languages : en
Pages : 190
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Book Description
Proofs and Refutations is for those interested in the methodology, philosophy and history of mathematics.
Author: Imre Lakatos
Publisher: Cambridge University Press
ISBN: 9780521290388
Category : Mathematics
Languages : en
Pages : 190
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Book Description
Proofs and Refutations is for those interested in the methodology, philosophy and history of mathematics.
Author: T. Koetsier
Publisher: North Holland
ISBN:
Category : Mathematics
Languages : en
Pages : 336
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Book Description
Hardbound. In this book, which is both a philosophical and historiographical study, the author investigates the fallibility and the rationality of mathematics by means of rational reconstructions of developments in mathematics. The initial chapters are devoted to a critical discussion of Lakatos' philosophy of mathematics. In the remaining chapters several episodes in the history of mathematics are discussed, such as the appearance of deduction in Greek mathematics and the transition from Eighteenth-Century to Nineteenth-Century analysis. The author aims at developing a notion of mathematical rationality that agrees with the historical facts. A modified version of Lakatos' methodology is proposed. The resulting constructions show that mathematical knowledge is fallible, but that its fallibility is remarkably weak.
Author: Imre Lakatos
Publisher: Cambridge University Press
ISBN: 9780521280303
Category : Mathematics
Languages : en
Pages : 302
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Book Description
Volume I brings together his very influential but scattered papers on the philosophy of the physical sciences, and includes one important unpublished essay on the effect of Newton's scientific achievement. Volume 2 presents his work on the philosophy of mathematics together with some critical essays on contemporary philosophers of science.
Author: John Kadvany
Publisher: Duke University Press
ISBN: 9780822326496
Category : Biography & Autobiography
Languages : en
Pages : 400
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Book Description
DIVAn exploration of the philosophy of science and mathematics of Hungarian emigre, Imre Lakatos, demonstrating its contemporary relevance./div
Author: Imre Lakatos
Publisher: Cambridge University Press
ISBN: 9780521280310
Category : Araştırma-Metodoloji
Languages : en
Pages : 262
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Book Description
This collection exhibits and confirms the originality, range and the essential unity of his work.
Author: Robert S. Cohen
Publisher: Springer Science & Business Media
ISBN: 9401014515
Category : Science
Languages : en
Pages : 758
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Book Description
The death of Imre Lakatos on February 2, 1974 was a personal and philosophical loss to the worldwide circle of his friends, colleagues and students. This volume reflects the range of his interests in mathematics, logic, politics and especially in the history and methodology of the sciences. Indeed, Lakatos was a man in search of rationality in all of its forms. He thought he had found it in the historical development of scientific knowledge, yet he also saw rationality endangered everywhere. To honor Lakatos is to honor his sharp and aggressive criticism as well as his humane warmth and his quick wit. He was a person to love and to struggle with. PAUL K. FEYERABEND ROBERT S. COHEN MARX W. WARTOFSKY TABLE OF CONTENTS Preface VII JOHN WORRALL / Imre Lakatos (1922-1974): Philosopher of Mathematics and Philosopher of Science JOSEPH AGASSI / The Lakatosian Revolution 9 23 D. M. ARMSTRONG / Immediate Perception w. W. BAR TLEY, III/On Imre Lakatos 37 WILLIAM BERKSON / Lakatos One and Lakatos Two: An Appreciation 39 I. B. COHEN / William Whewell and the Concept of Scientific Revolution 55 L. JONATHAN COHEN / How Can One Testimony Corroborate Another? 65 R. S. COHEN / Constraints on Science 79 GENE D'AMOUR/ Research Programs, Rationality, and Ethics 87 YEHUDA ELKANA / Introduction: Culture, Cultural System and Science 99 PA UL K.
Author: Paul Ernest
Publisher: SUNY Press
ISBN: 9780791435878
Category : Philosophy
Languages : en
Pages : 336
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Book Description
Extends the ideas of social constructivism to the philosophy of mathematics, developing a powerful critique of traditional absolutist conceptions of mathematics, and proposing a reconceptualization of the philosophy of mathematics.
Author: David Corfield
Publisher: Cambridge University Press
ISBN: 1139436392
Category : Philosophy
Languages : en
Pages : 300
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Book Description
In this ambitious study, David Corfield attacks the widely held view that it is the nature of mathematical knowledge which has shaped the way in which mathematics is treated philosophically and claims that contingent factors have brought us to the present thematically limited discipline. Illustrating his discussion with a wealth of examples, he sets out a variety of approaches to new thinking about the philosophy of mathematics, ranging from an exploration of whether computers producing mathematical proofs or conjectures are doing real mathematics, to the use of analogy, the prospects for a Bayesian confirmation theory, the notion of a mathematical research programme and the ways in which new concepts are justified. His inspiring book challenges both philosophers and mathematicians to develop the broadest and richest philosophical resources for work in their disciplines and points clearly to the ways in which this can be done.
Author: Anya Plutynski
Publisher: Oxford University Press
ISBN: 0199967466
Category : Science
Languages : en
Pages : 281
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Book Description
In Explaining Cancer, Anya Plutynski addresses a variety of philosophical questions that arise in the context of cancer science and medicine. She begins with the following concerns: · How do scientists classify cancer? Do these classifications reflect nature's "joints"? · How do cancer scientists identify and classify early stage cancers? · What does it mean to say that cancer is a "genetic" disease? What role do genes play in "mechanisms for" cancer? · What are the most important environmental causes of cancer, and how do epidemiologists investigate these causes? · How exactly has our evolutionary history made us vulnerable to cancer? Explaining Cancer uses these questions as an entrée into a family of philosophical debates. It uses case studies of scientific practice to reframe philosophical debates about natural classification in science and medicine, the problem of drawing the line between disease and health, mechanistic reasoning in science, pragmatics and evidence, the roles of models and modeling in science, and the nature of scientific explanation.
Author: James Robert Brown
Publisher: Psychology Press
ISBN: 0415122759
Category : Mathematics
Languages : en
Pages : 181
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Book Description
Philosophy of Mathematicsis clear and engaging, and student friendly The book discusses the great philosophers and the importance of mathematics to their thought. Among topics discussed in the book are the mathematical image, platonism, picture-proofs, applied mathematics, Hilbert and Godel, knots and notation definitions, picture-proofs and Wittgenstein, computation, proof and conjecture.
