## An Historical Introduction to the Philosophy of Mathematics: A ReaderA 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. |

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### Contents

Part 2 Moderns | 95 |

Part 3 Nineteenth and early twentieth centuries | 243 |

Part 4 Contemporary views | 469 |

781 | |

803 | |

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### Common terms and phrases

abstract ideas abstract objects analytic analytic propositions argues Aristotle’s arithmetic assertion axiomatic axioms beliefs Benacerraf called Cantor’s causal concept consistent construction continuum hypothesis contradiction defined definition Descartes distinct empirical empiricists epistemology Euclidean geometry example existence experimental mathematics explain fact fictionalist finite follows formal Frege geometry Gödel Hartry Field Hilbert indispensability argument inductive infinity innate intuition intuitionism intuitionist Kant language laws Leibniz logic Maddy mathematical entities mathematical knowledge mathematical objects mathematical theory mathematical truth mathematicians means metaphysical method mind natural numbers nominalistic notion number theory ontology paradox particular Penelope Maddy perceive perception philosophy of mathematics physical objects platonism platonist possible predicate principle priori problem proof properties propositions pure Pythagoreans quantity question Quine Quine’s real numbers reason relation semantics sense experience sentences set theory Socrates space statements structure suppose synthetic theorems things thought triangle true W. V. Quine words