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The Growth of Mathematical Knowledge SYNTHESE LIBRARY Volume 289
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The Growth of Mathematical Knowledge SYNTHESE LIBRARY Volume 289 - Taschenbuch

ISBN: 9780792361510

Gebundene Ausgabe, ID: 755096899

Bloomsbury Publishing PLC. Hardcover. New. Hardcover. 256 pages. Dimensions: 9.2in. x 6.1in. x 1.0in.Frank Plumpton Ramsey (1903-1930), Cambridge mathematician and philosopher, was one of the most brilliant people of his generation. He lived in an extraordinarily stimulating milieu, surrounded by figures such as Russell, Whitehead, Keynes, Moore, and Wittgenstein. Ramseys highly original papers on the foundations of mathematics, probability, economics, philosophy of science and the theory of knowledge were very influential in the 20th century and are still widely discussed in the 21st. Perhaps two of Ramseys achievements outshine all the rest. One is his treatment of the theoretical terms of scientific theories and the other is his deflationary account of truth. In Theories (1929) he showed that, for any theory, it is always possible to offer an empirically equivalent one that does not contain theoretical terms by re-expressing it in what later became known as Ramsey sentences. His account of truth was rediscovered in the 1960s and is now known as the prosentential theory of truth (according to which to say that a sentence is true is simply to assert or reassert that sentence, not to ascribe the property of truth to it). This collection of eleven new papers, specially written to commemorate his centenary, answers a crying need for more secondary literature on Frank Ramsey. Nearly all the aspects of Ramseys work are examined: his logic, philosophy of mind, philosophy of science, metaphysics, epistemology, pragmatism, economics, and the mutual influences between Ramsey and Wittgenstein. The book will be eagerly welcomed by those working in many branches of analytic philosophy and beyond. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN., Bloomsbury Publishing PLC, Springer. Paperback. New. Paperback. 162 pages. Dimensions: 9.0in. x 6.0in. x 0.4in.This study explores the theoretical relationship between Aristotles theory of syllogism and his conception of demonstrative knowledge. More specifically, I consider why Aristotles theory of demonstration presupposes his theory of syllogism. In reconsidering the relationship between Aristotles two Analytics, I modify this widely discussed question. The problem of the relationship between Aristotles logic and his theory of proof is commonly approached from the standpoint of whether the theory of demonstration presupposes the theory of syllogism. By contrast, I assume the theoretical relationship between these two theories from the start. This assumption is based on much explicit textual evidence indicating that Aristotle considers the theory of demonstration a branch of the theory of syllogism. I see no textual reasons for doubting the theoretical relationship between Aristotles two Analytics so I attempt to uncover here the common theoretical assumptions that relate the syllogistic form of reasoning to the cognitive state (i. e. , knowledge), which is attained through syllogistic inferences. This modification of the traditional approach reflects the wider objective of this essay. Unlike the traditional interpretation, which views the Posterior Analytics in light of scientific practice, this study aims to lay the foundation for a comprehensive interpretation of the Posterior Analytics, considering this work from a metaphysical perspective. One of my major assertions is that Aristotles conception of substance is essential for a grasp of his theory of demonstration in general, and of the role of syllogistic logic in particular. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN., Springer, Springer. Hardcover. New. Hardcover. 460 pages. Dimensions: 9.3in. x 6.3in. x 1.3in.This book draws its inspiration from Hilbert, Wittgenstein, Cavaills and Lakatos and is designed to reconfigure contemporary philosophy of mathematics by making the growth of knowledge rather than its foundations central to the study of mathematical rationality, and by analyzing the notion of growth in historical as well as logical terms. Not a mere compendium of opinions, it is organised in dialogical forms, with each philosophical thesis answered by one or more historical case studies designed to support, complicate or question it. The first part of the book examines the role of scientific theory and empirical fact in the growth of mathematical knowledge. The second examines the role of abstraction, analysis and axiomatization. The third raises the question of whether the growth of mathematical knowledge constitutes progress, and how progress may be understood. Readership: Students and scholars concerned with the history and philosophy of mathematics and the formal sciences. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN., Springer

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The Growth of Mathematical Knowledge - Emily Grosholz#Herbert Breger
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The Growth of Mathematical Knowledge Mathematics has stood as a bridge between the Humanities and the Sciences since the days of classical antiquity. For Plato, mathematics was evidence of Being in the midst of Becoming, garden variety evidence apparent even to small children and the unphilosophical, and therefore of the highest educational significance. In the great central similes of The Republic it is the touchstone ofintelligibility for discourse, and in the Timaeus it provides in an oddly literal sense the framework of nature, insuring the intelligibility ofthe material world. For Descartes, mathematical ideas had a clarity and distinctness akin to the idea of God, as the fifth of the Meditations makes especially clear. Cartesian mathematicals are constructions as well as objects envisioned by the soul; in the Principles, the work ofthe physicist who provides a quantified account ofthe machines of nature hovers between description and constitution. For Kant, mathematics reveals the possibility of universal and necessary knowledge that is neither the logical unpacking ofconcepts nor the record of perceptual experience. In the Critique ofPure Reason, mathematics is one of the transcendental instruments the human mind uses to apprehend nature, and by apprehending to construct it under the universal and necessary lawsofNewtonian mechanics. Bücher / Fremdsprachige Bücher / Englische Bücher 978-0-7923-6151-0, Springer

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The Growth of Mathematical Knowledge - Emily Grosholz#Herbert Breger
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Emily Grosholz#Herbert Breger:
The Growth of Mathematical Knowledge - neues Buch

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Mathematics has stood as a bridge between the Humanities and the Sciences since the days of classical antiquity. For Plato, mathematics was evidence of Being in the midst of Becoming, garden variety evidence apparent even to small children and the unphilosophical, and therefore of the highest educational significance. In the great central similes of The Republic it is the touchstone ofintelligibility for discourse, and in the Timaeus it provides in an oddly literal sense the framework of nature, insuring the intelligibility ofthe material world. For Descartes, mathematical ideas had a clarity and distinctness akin to the idea of God, as the fifth of the Meditations makes especially clear. Cartesian mathematicals are constructions as well as objects envisioned by the soul; in the Principles, the work ofthe physicist who provides a quantified account ofthe machines of nature hovers between description and constitution. For Kant, mathematics reveals the possibility of universal and necessary knowledge that is neither the logical unpacking ofconcepts nor the record of perceptual experience. In the Critique ofPure Reason, mathematics is one of the transcendental instruments the human mind uses to apprehend nature, and by apprehending to construct it under the universal and necessary lawsofNewtonian mechanics. The Growth of Mathematical Knowledge Buch (fremdspr.) Bücher>Fremdsprachige Bücher>Englische Bücher, Springer

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The Growth of Mathematical Knowledge SYNTHESE LIBRARY Volume 289
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The Growth of Mathematical Knowledge SYNTHESE LIBRARY Volume 289 - gebunden oder broschiert

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[EAN: 9780792361510], Neubuch, [PU: Springer], EMILY GROSHOLZ,HERBERT BREGER,HISTORY,HISTORY AND PHILOSOPHY,MATHEMATICS,LOGIC, Mathematics|History & Philosophy, Mathematics|Logic, Philosophy|Movements|Phenomenology, Hardcover. 460 pages. Dimensions: 9.3in. x 6.3in. x 1.3in.This book draws its inspiration from Hilbert, Wittgenstein, Cavaills and Lakatos and is designed to reconfigure contemporary philosophy of mathematics by making the growth of knowledge rather than its foundations central to the study of mathematical rationality, and by analyzing the notion of growth in historical as well as logical terms. Not a mere compendium of opinions, it is organised in dialogical forms, with each philosophical thesis answered by one or more historical case studies designed to support, complicate or question it. The first part of the book examines the role of scientific theory and empirical fact in the growth of mathematical knowledge. The second examines the role of abstraction, analysis and axiomatization. The third raises the question of whether the growth of mathematical knowledge constitutes progress, and how progress may be understood. Readership: Students and scholars concerned with the history and philosophy of mathematics and the formal sciences. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN.

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The Growth of Mathematical Knowledge (SYNTHESE LIBRARY Volume 289) - Editor-Emily Grosholz; Editor-Herbert Breger
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The Growth of Mathematical Knowledge
Autor:

Grosholz

Titel:

The Growth of Mathematical Knowledge

ISBN-Nummer:

0792361512

This book draws its inspiration from Hilbert, Wittgenstein, Cavaillès and Lakatos and is designed to reconfigure contemporary philosophy of mathematics by making the growth of knowledge rather than its foundations central to the study of mathematical rationality, and by analyzing the notion of growth in historical as well as logical terms. Not a mere compendium of opinions, it is organised in dialogical forms, with each philosophical thesis answered by one or more historical case studies designed to support, complicate or question it. The first part of the book examines the role of scientific theory and empirical fact in the growth of mathematical knowledge. The second examines the role of abstraction, analysis and axiomatization. The third raises the question of whether the growth of mathematical knowledge constitutes progress, and how progress may be understood. Readership: Students and scholars concerned with the history and philosophy of mathematics and the formal sciences.

Detailangaben zum Buch - The Growth of Mathematical Knowledge


EAN (ISBN-13): 9780792361510
ISBN (ISBN-10): 0792361512
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2000
Herausgeber: Springer-Verlag GmbH
476 Seiten
Gewicht: 0,871 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 24.12.2007 08:16:23
Buch zuletzt gefunden am 20.10.2016 13:07:00
ISBN/EAN: 0792361512

ISBN - alternative Schreibweisen:
0-7923-6151-2, 978-0-7923-6151-0

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