An Historical Introduction to the Philosophy of Mathematics: A Reader

An Historical Introduction to the Philosophy of Mathematics: A Reader

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  • Author: Russell Marcus
  • Publisher: Bloomsbury Publishing
  • ISBN: 1472529480
  • Category : Philosophy
  • Languages : en
  • Pages : 896

A comprehensive collection of historical readings in the philosophy of mathematics and a selection of influential contemporary work, this much-needed introduction reveals the rich history of the subject. An Historical Introduction to the Philosophy of Mathematics: A Reader brings together an impressive collection of primary sources from ancient and modern philosophy. Arranged chronologically and featuring introductory overviews explaining technical terms, this accessible reader is easy-to-follow and unrivaled in its historical scope. With selections from key thinkers such as Plato, Aristotle, Descartes, Hume and Kant, it connects the major ideas of the ancients with contemporary thinkers. A selection of recent texts from philosophers including Quine, Putnam, Field and Maddy offering insights into the current state of the discipline clearly illustrates the development of the subject. Presenting historical background essential to understanding contemporary trends and a survey of recent work, An Historical Introduction to the Philosophy of Mathematics: A Reader is required reading for undergraduates and graduate students studying the philosophy of mathematics and an invaluable source book for working researchers.


An Historical Introduction to the Philosophy of Mathematics: A Reader

An Historical Introduction to the Philosophy of Mathematics: A Reader

PDF An Historical Introduction to the Philosophy of Mathematics: A Reader Download

  • Author: Russell Marcus
  • Publisher: Bloomsbury Publishing
  • ISBN: 1472525345
  • Category : Philosophy
  • Languages : en
  • Pages : 849

As the first comprehensive collection of historical readings in the philosophy of mathematics, this much-needed introduction reveals the rich history of the subject. Focusing on the philosophy of mathematics before the 20th-century, An Historical Introduction to the Philosophy of Mathematics: A Readerbrings together an impressive collection of primary sources from ancient, medieval and modern philosophy. Arranged chronologically and featuring introductory overviews explaining technical terms, this accessible reader is easy-to-follow and unrivaled in its historical scope. With selections from Plato, Aristotle, Descartes, Hume and Kant, it connects the major ideas of the ancients with modern thinkers. While a selection of recent texts offering insights the current state of the discipline, clearly illustrate the development of the subject. Presenting historical background essential to understanding contemporary trends, An Historical Introduction to the Philosophy of Mathematics: A Reader is required reading for undergraduates studying the philosophy of mathematics.


An Introduction to the Philosophy of Mathematics

An Introduction to the Philosophy of Mathematics

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  • Author: Mark Colyvan
  • Publisher: Cambridge University Press
  • ISBN: 0521826020
  • Category : Mathematics
  • Languages : en
  • Pages : 199

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


An Historical Introduction to the Philosophy of Mathematics

An Historical Introduction to the Philosophy of Mathematics

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  • Author: Russell Marcus
  • Publisher: Createspace Independent Publishing Platform
  • ISBN: 9781973776376
  • Category :
  • Languages : en
  • Pages : 318

An Historical Introduction to the Philosophy of Mathematics By Russell Marcus


Philosophy of Mathematics

Philosophy of Mathematics

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  • Author: David Bostock
  • Publisher: John Wiley & Sons
  • ISBN: 1405189924
  • Category : Mathematics
  • Languages : en
  • Pages : 345

Philosophy of Mathematics: An Introduction provides a critical analysis of the major philosophical issues and viewpoints in the concepts and methods of mathematics - from antiquity to the modern era. Offers beginning readers a critical appraisal of philosophical viewpoints throughout history Gives a separate chapter to predicativism, which is often (but wrongly) treated as if it were a part of logicism Provides readers with a non-partisan discussion until the final chapter, which gives the author's personal opinion on where the truth lies Designed to be accessible to both undergraduates and graduate students, and at the same time to be of interest to professionals


Philosophy of Mathematics

Philosophy of Mathematics

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  • Author: Paul Benacerraf
  • Publisher: Cambridge University Press
  • ISBN: 9780521296489
  • Category : Mathematics
  • Languages : en
  • Pages : 604

Seminal articles in the philosophy of mathematics by Russell, Quine, Gödel and other major thinkers.


Philosophy of Mathematics

Philosophy of Mathematics

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  • Author: Øystein Linnebo
  • Publisher: Princeton University Press
  • ISBN: 069120229X
  • Category : Mathematics
  • Languages : en
  • Pages : 214

A sophisticated, original introduction to the philosophy of mathematics from one of its leading thinkers Mathematics is a model of precision and objectivity, but it appears distinct from the empirical sciences because it seems to deliver nonexperiential knowledge of a nonphysical reality of numbers, sets, and functions. How can these two aspects of mathematics be reconciled? This concise book provides a systematic, accessible introduction to the field that is trying to answer that question: the philosophy of mathematics. Øystein Linnebo, one of the world's leading scholars on the subject, introduces all of the classical approaches to the field as well as more specialized issues, including mathematical intuition, potential infinity, and the search for new mathematical axioms. Sophisticated but clear and approachable, this is an essential book for all students and teachers of philosophy and of mathematics.


A History of Mathematics

A History of Mathematics

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  • Author: Victor J. Katz
  • Publisher: Addison-Wesley Longman
  • ISBN:
  • Category : Mathematics
  • Languages : en
  • Pages : 1040

One of the leading historians in the mathematics field, Victor Katz provides a world view of mathematics, balancing ancient, early modern, and modern history.


Introduction to Mathematical Philosophy

Introduction to Mathematical Philosophy

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  • Author: Bertrand Russell
  • Publisher:
  • ISBN:
  • Category : Mathematics
  • Languages : en
  • Pages : 224


Set Theory and its Philosophy

Set Theory and its Philosophy

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  • Author: Michael Potter
  • Publisher: Clarendon Press
  • ISBN: 0191556432
  • Category : Philosophy
  • Languages : en
  • Pages : 362

Michael Potter presents a comprehensive new philosophical introduction to set theory. Anyone wishing to work on the logical foundations of mathematics must understand set theory, which lies at its heart. Potter offers a thorough account of cardinal and ordinal arithmetic, and the various axiom candidates. He discusses in detail the project of set-theoretic reduction, which aims to interpret the rest of mathematics in terms of set theory. The key question here is how to deal with the paradoxes that bedevil set theory. Potter offers a strikingly simple version of the most widely accepted response to the paradoxes, which classifies sets by means of a hierarchy of levels. What makes the book unique is that it interweaves a careful presentation of the technical material with a penetrating philosophical critique. Potter does not merely expound the theory dogmatically but at every stage discusses in detail the reasons that can be offered for believing it to be true. Set Theory and its Philosophy is a key text for philosophy, mathematical logic, and computer science.