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Author: Steven Bland
Publisher: Springer
ISBN: 3319946730
Category : Philosophy
Languages : en
Pages : 239
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Book Description
This book confronts the threats of epistemic relativism and Pyrrhonian scepticism to analytic philosophy. Epistemic relativists reject absolute notions of knowledge and justification, while sceptics claim that knowledge and justification of any kind are unattainable. If either of these views is correct, then there can be no objective basis for thinking that one set of methods does a better job of delivering accurate information than any other set of methods. Philosophers have generally sought to resist these threats by responding to the argument that seems to motivate both positions: the Agrippan trilemma. Steven Bland argues that this is a mistaken strategy. He surveys the most influential responses to the Agrippan trilemma, and shows that none of them succeeds in undermining epistemic relativism. Bland also offers a new, dialectical strategy of challenging epistemic relativism by uncovering how epistemic methods depend on one another for their applications. By means of this novel analysis, the book concludes that there are principled reasons to prefer naturalistic to non-naturalistic methods, even if these reasons do little to ease the threat of scepticism.
Author: Steven Bland
Publisher: Springer
ISBN: 3319946730
Category : Philosophy
Languages : en
Pages : 239
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Book Description
This book confronts the threats of epistemic relativism and Pyrrhonian scepticism to analytic philosophy. Epistemic relativists reject absolute notions of knowledge and justification, while sceptics claim that knowledge and justification of any kind are unattainable. If either of these views is correct, then there can be no objective basis for thinking that one set of methods does a better job of delivering accurate information than any other set of methods. Philosophers have generally sought to resist these threats by responding to the argument that seems to motivate both positions: the Agrippan trilemma. Steven Bland argues that this is a mistaken strategy. He surveys the most influential responses to the Agrippan trilemma, and shows that none of them succeeds in undermining epistemic relativism. Bland also offers a new, dialectical strategy of challenging epistemic relativism by uncovering how epistemic methods depend on one another for their applications. By means of this novel analysis, the book concludes that there are principled reasons to prefer naturalistic to non-naturalistic methods, even if these reasons do little to ease the threat of scepticism.
Author: Robert J. Fogelin
Publisher: Princeton University Press
ISBN: 0691202389
Category : Philosophy
Languages : en
Pages : 200
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Book Description
Taking Wittgenstein at His Word is an experiment in reading organized around a central question: What kind of interpretation of Wittgenstein's later philosophy emerges if we adhere strictly to his claims that he is not in the business of presenting and defending philosophical theses and that his only aim is to expose persistent conceptual misunderstandings that lead to deep philosophical perplexities? Robert Fogelin draws out the therapeutic aspects of Wittgenstein's later work by closely examining his account of rule-following and how he applies the idea in the philosophy of mathematics. The first of the book's two parts focuses on rule-following, Wittgenstein's "paradox of interpretation," and his naturalistic response to this paradox, all of which are persistent and crucial features of his later philosophy. Fogelin offers a corrective to the frequent misunderstanding that the paradox of interpretation is a paradox about meaning, and he emphasizes the importance of Wittgenstein's often undervalued appeals to natural responses. The second half of the book examines how Wittgenstein applies his reflections on rule-following to the status of mathematical propositions, proofs, and objects, leading to remarkable, demystifying results. Taking Wittgenstein at His Word shows that what Wittgenstein claims to be doing and what he actually does are much closer than is often recognized. In doing so, the book underscores fundamental—but frequently underappreciated—insights about Wittgenstein's later philosophy.
Author: Stewart Shapiro
Publisher: Oxford University Press
ISBN: 0190282525
Category : Philosophy
Languages : en
Pages : 290
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Book Description
Do numbers, sets, and so forth, exist? What do mathematical statements mean? Are they literally true or false, or do they lack truth values altogether? Addressing questions that have attracted lively debate in recent years, Stewart Shapiro contends that standard realist and antirealist accounts of mathematics are both problematic. As Benacerraf first noted, we are confronted with the following powerful dilemma. The desired continuity between mathematical and, say, scientific language suggests realism, but realism in this context suggests seemingly intractable epistemic problems. As a way out of this dilemma, Shapiro articulates a structuralist approach. On this view, the subject matter of arithmetic, for example, is not a fixed domain of numbers independent of each other, but rather is the natural number structure, the pattern common to any system of objects that has an initial object and successor relation satisfying the induction principle. Using this framework, realism in mathematics can be preserved without troublesome epistemic consequences. Shapiro concludes by showing how a structuralist approach can be applied to wider philosophical questions such as the nature of an "object" and the Quinean nature of ontological commitment. Clear, compelling, and tautly argued, Shapiro's work, noteworthy both in its attempt to develop a full-length structuralist approach to mathematics and to trace its emergence in the history of mathematics, will be of deep interest to both philosophers and mathematicians.
Author: Paul Ernest
Publisher: Springer
ISBN: 3319405691
Category : Education
Languages : en
Pages : 33
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Book Description
This survey provides a brief and selective overview of research in the philosophy of mathematics education. It asks what makes up the philosophy of mathematics education, what it means, what questions it asks and answers, and what is its overall importance and use? It provides overviews of critical mathematics education, and the most relevant modern movements in the philosophy of mathematics. A case study is provided of an emerging research tradition in one country. This is the Hermeneutic strand of research in the philosophy of mathematics education in Brazil. This illustrates one orientation towards research inquiry in the philosophy of mathematics education. It is part of a broader practice of ‘philosophical archaeology’: the uncovering of hidden assumptions and buried ideologies within the concepts and methods of research and practice in mathematics education. An extensive bibliography is also included.
Author: Casimir Lewy
Publisher: CUP Archive
ISBN: 9780521213141
Category : Mathematics
Languages : en
Pages : 190
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Book Description
A study of various central and connected topics in philosophical logic and the theory of meaning. There are important sections on the relation between linguistic and abstract entities, on necessity and convention, on meaning, sense and reference, and on entailment. Dr Lewy proposes a number of original solutions to problems which have been widely discussed in literature, and there is in particular a sharp and sustained criticism of conventionalism and reductionism. These are among the most difficult and intricate issues in contemporary philosophy, but Dr Lewy writes with great clarity and a minimum of technicality. Where his views are controversial they are explained and supported in a detail which makes it both possible and necessary for potential critics to state their disagreement precisely. The book should therefore be of value as an advanced textbook as well as an original contribution to philosophical logic.
Author: Martin Curd
Publisher: Routledge
ISBN: 1135011095
Category : Philosophy
Languages : en
Pages : 736
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Book Description
The Routledge Companion to Philosophy of Science is an indispensable reference source and guide to the major themes, debates, problems and topics in philosophy of science. It contains sixty-two specially commissioned entries by a leading team of international contributors. Organized into four parts it covers: historical and philosophical context debates concepts the individual sciences. The Routledge Companion to Philosophy of Science addresses all of the essential topics that students of philosophy of science need to know - from empiricism, explanation and experiment to causation, observation, prediction and more - and contains many helpful features including chapters on individual sciences (such as biology, chemistry, physics and psychology), further reading and cross-referencing at the end of each chapter. Expanded and revised throughout, this second edition includes new chapters on Conventionalism, Social Epistemology, Computer Simulation, Thought Experiments, Pseudoscience, Species and Taxonomy, and Cosmology.
Author: J. Bell
Publisher: Springer Science & Business Media
ISBN: 9401142092
Category : Science
Languages : en
Pages : 260
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Book Description
A compact survey, at the elementary level, of some of the most important concepts of mathematics. Attention is paid to their technical features, historical development and broader philosophical significance. Each of the various branches of mathematics is discussed separately, but their interdependence is emphasised throughout. Certain topics - such as Greek mathematics, abstract algebra, set theory, geometry and the philosophy of mathematics - are discussed in detail. Appendices outline from scratch the proofs of two of the most celebrated limitative results of mathematics: the insolubility of the problem of doubling the cube and trisecting an arbitrary angle, and the Gödel incompleteness theorems. Additional appendices contain brief accounts of smooth infinitesimal analysis - a new approach to the use of infinitesimals in the calculus - and of the philosophical thought of the great 20th century mathematician Hermann Weyl. Readership: Students and teachers of mathematics, science and philosophy. The greater part of the book can be read and enjoyed by anyone possessing a good high school mathematics background.
Author: Jerzy Giedymin
Publisher: Elsevier
ISBN: 1483147053
Category : Science
Languages : en
Pages : 248
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Book Description
Science and Convention: Essays on Henri Poincare's Philosophy of Science and The Conventionalist Tradition contains essays concerned with Henri Poincare's philosophy of science, physics in particular, and with the conventionalist tradition in philosophy that he revived and reshaped, simultaneously with, but independently of, Pierre Duhem. Separating five essays as chapters, the book discusses the main ideas of the philosophy (Essays 1 and 5), traces at least some of its historical background (Essays 1, 2, and 3), and provides some of its developments (Essays 2 and 4).
Author: Robert DiSalle
Publisher: Cambridge University Press
ISBN: 9781139452663
Category : Science
Languages : en
Pages : 204
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Book Description
Presenting the history of space-time physics, from Newton to Einstein, as a philosophical development DiSalle reflects our increasing understanding of the connections between ideas of space and time and our physical knowledge. He suggests that philosophy's greatest impact on physics has come about, less by the influence of philosophical hypotheses, than by the philosophical analysis of concepts of space, time and motion, and the roles they play in our assumptions about physical objects and physical measurements. This way of thinking leads to interpretations of the work of Newton and Einstein and the connections between them. It also offers ways of looking at old questions about a priori knowledge, the physical interpretation of mathematics, and the nature of conceptual change. Understanding Space-Time will interest readers in philosophy, history and philosophy of science, and physics, as well as readers interested in the relations between physics and philosophy.
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
