PHILOSOPHY OF MATHEMATICS A CONTEMPORARY INTRODUCTION TO THE WORLD OF PROOFS AND PICTURES ROUTLEDGE CONTEMPORARY INTRODUCTIONS TO PHILOSOPHY

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Philosophy Of Mathematics

Author : James Robert Brown
ISBN : 9781135902384
Genre : Mathematics
File Size : 90.2 MB
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In his long-awaited new edition of Philosophy of Mathematics, James Robert Brown tackles important new as well as enduring questions in the mathematical sciences. Can pictures go beyond being merely suggestive and actually prove anything? Are mathematical results certain? Are experiments of any real value? This clear and engaging book takes a unique approach, encompassing non-standard topics such as the role of visual reasoning, the importance of notation, and the place of computers in mathematics, as well as traditional topics such as formalism, Platonism, and constructivism. The combination of topics and clarity of presentation make it suitable for beginners and experts alike. The revised and updated second edition of Philosophy of Mathematics contains more examples, suggestions for further reading, and expanded material on several topics including a novel approach to the continuum hypothesis.
Category: Mathematics

An Introduction To The Philosophy Of Mathematics

Author : Mark Colyvan
ISBN : 9780521826020
Genre : Mathematics
File Size : 31.48 MB
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This introduction to the philosophy of mathematics focuses on contemporary debates in an important and central area of philosophy. The reader is taken on a fascinating and entertaining journey through some intriguing mathematical and philosophical territory, including such topics as the realism/anti-realism debate in mathematics, mathematical explanation, the limits of mathematics, the significance of mathematical notation, inconsistent mathematics and the applications of mathematics. Each chapter has a number of discussion questions and recommended further reading from both the contemporary literature and older sources. Very little mathematical background is assumed and all of the mathematics encountered is clearly introduced and explained using a wide variety of examples. The book is suitable for an undergraduate course in philosophy of mathematics and, more widely, for anyone interested in philosophy and mathematics.
Category: Mathematics

Platonism And Anti Platonism In Mathematics

Author : Mark Balaguer
ISBN : 0195143981
Genre : Mathematics
File Size : 57.40 MB
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In this book, Balaguer demonstrates that there are no good arguments for or against mathematical platonism. He establishes that both platonism and anti-platonism are defensible views and introduces a form of platonism ("full-blooded platonism") that solves all problems traditionally associated with the view, proceeding to defend anti-platonism (in particular, mathematical fictionalism) against various attacks--most notably the Quine-Putnam indispensability attack.
Category: Mathematics

How Mathematicians Think

Author : William Byers
ISBN : 0691145997
Genre : Mathematics
File Size : 88.54 MB
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To many outsiders, mathematicians appear to think like computers, grimly grinding away with a strict formal logic and moving methodically--even algorithmically--from one black-and-white deduction to another. Yet mathematicians often describe their most important breakthroughs as creative, intuitive responses to ambiguity, contradiction, and paradox. A unique examination of this less-familiar aspect of mathematics, How Mathematicians Think reveals that mathematics is a profoundly creative activity and not just a body of formalized rules and results. Nonlogical qualities, William Byers shows, play an essential role in mathematics. Ambiguities, contradictions, and paradoxes can arise when ideas developed in different contexts come into contact. Uncertainties and conflicts do not impede but rather spur the development of mathematics. Creativity often means bringing apparently incompatible perspectives together as complementary aspects of a new, more subtle theory. The secret of mathematics is not to be found only in its logical structure. The creative dimensions of mathematical work have great implications for our notions of mathematical and scientific truth, and How Mathematicians Think provides a novel approach to many fundamental questions. Is mathematics objectively true? Is it discovered or invented? And is there such a thing as a "final" scientific theory? Ultimately, How Mathematicians Think shows that the nature of mathematical thinking can teach us a great deal about the human condition itself.
Category: Mathematics

Metaphysics

Author : Michael J. Loux
ISBN : 0415261090
Genre : Philosophy
File Size : 32.45 MB
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This comprehensive anthology of classic and contemporary readings by leading philosophers complements the second edition of Michael Loux's Metaphysics: A Contemporary Introduction (Routledge, 2001).
Category: Philosophy

Plato S Problem

Author : M. Panza
ISBN : 9781137298133
Genre : Mathematics
File Size : 43.40 MB
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What is mathematics about? And how can we have access to the reality it is supposed to describe? The book tells the story of this problem, first raised by Plato, through the views of Aristotle, Proclus, Kant, Frege, Gödel, Benacerraf, up to the most recent debate on mathematical platonism.
Category: Mathematics

Philosophy Of Economics

Author : Julian Reiss
ISBN : 9781136763328
Genre : Philosophy
File Size : 50.87 MB
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Philosophy of Economics: A Contemporary Introduction is the first systematic textbook in the philosophy of economics. It introduces the epistemological, metaphysical and ethical problems that arise in economics, and presents detailed discussions of the solutions that have been offered. Throughout, philosophical issues are illustrated by and analysed in the context of concrete cases drawn from contemporary economics, the history of economic ideas, and actual economic events. This demonstrates the relevance of philosophy of economics both for the science of economics and for the economy. This text will provide an excellent introduction to the philosophy of economics for students and interested general readers alike.
Category: Philosophy

Philosophy Of Religion

Author : Keith E. Yandell
ISBN : 9781317384557
Genre : Philosophy
File Size : 30.7 MB
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Keith Yandell's Philosophy of Religion: A Contemporary Introduction was one of the first textbooks to explore the philosophy of religion with reference to religions other than Christianity. This new, revised edition explores the logical validity and truth claims of several world religions—Christianity, Judaism, Islam, Hinduism, Buddhism, and Jainism—with updated, streamlined discussions on important topics in philosophy of religion such as: Religious pluralism Freedom and responsibility Evidentialist Moral Theism Reformed Epistemology Doxastic Practice Epistemology The problem of evil Ontological and cosmological arguments Other new features include updated Questions for Reflection,and new Annotated Bibliographies for each chapter, as well as an updated Glossary. This exciting new edition, much like its classic predecessor, is sure to be a classroom staple for undergraduate students studying philosophy of religion, as well as a comprehensive introductory read for anyone interested in the subject.
Category: Philosophy

Social And Political Philosophy

Author : John Christman
ISBN : 9781317435983
Genre : Philosophy
File Size : 65.13 MB
Format : PDF
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This accessible book is invaluable to anyone coming to social and political philosophy for the first time. It provides a broad survey of key social and political questions in modern society, as well as clear discussions of the philosophical issues central to those questions and to political thought more generally. Unique among books of this kind is a sustained treatment of specifically social philosophy, including topics such as epistemic injustice, pornography, marriage, sexuality, and the family. The relation between such social questions and specifically political topics is discussed. These topics include: political authority, economic justice, the limits of tolerance, considerations of community, race, gender, and culture in questions of justice, and radical critiques of current political theories.? Updates to the Second Edition emphasize the non-statist areas of the subject and include two brand new chapters on social philosophy and transnational justice. This Second Edition also includes revisions throughout and coverage of recent theoretical discussions and world events.
Category: Philosophy

On Philosophy Politics And Economics

Author : Gerald F. Gaus
ISBN : 9781111796969
Genre : Philosophy
File Size : 52.74 MB
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On Philosophy, Politics and Economics is an introductory text covering the basics of instrumental rationality, utility theory, game theory, axiomatic social choice theory and public choice theory. It is ideally suited to introductory courses on political economy and ppe programs, as well as advanced undergraduate social and political philosophy courses. The presentation is non-mathematical. On Philosophy, Politics, and Economics does not presuppose background in economics, and so is ideal for non-economists interested in formal analyses of social and political interaction.THE WADSWORTH PHILOSOPHICAL TOPICS SERIES presents readers with concise, timely, and insightful introductions to a variety of traditional and contemporary philosophical subjects. With this series, students of philosophy will be able to discover the richness of philosophical inquiry across a wide array of concepts, including hallmark philosophical themes and themes typically underrepresented in mainstream philosophy publishing. Written by a distinguished list of scholars who have garnered particular recognition for their excellence in teaching, this series presents the vast sweep of today's philosophical exploration in highly accessible and affordable volumes. These books will prove valuable to philosophy teachers and their students as well as to other readers who share a general interest in philosophy. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
Category: Philosophy