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# Philosophy Of Mathematics Books

Showing 1-50 of 175

Philosophy of Mathematics: Selected Readings (Paperback)

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avg rating 4.35 — 96 ratings — published 1983

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*philosophy-of-mathematics*)avg rating 4.35 — 96 ratings — published 1983

Thinking about Mathematics: The Philosophy of Mathematics (Paperback)

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avg rating 3.99 — 146 ratings — published 2000

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*philosophy-of-mathematics*)avg rating 3.99 — 146 ratings — published 2000

Philosophy of Mathematics: Structure and Ontology (Paperback)

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avg rating 4.11 — 18 ratings — published 1997

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*philosophy-of-mathematics*)avg rating 4.11 — 18 ratings — published 1997

The Foundations of Arithmetic: A Logico-Mathematical Enquiry into the Concept of Number (Paperback)

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avg rating 4.19 — 816 ratings — published 1884

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*philosophy-of-mathematics*)avg rating 4.19 — 816 ratings — published 1884

Science Without Numbers: A Defence Of Nominalism (Hardcover)

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avg rating 4.47 — 17 ratings — published 1980

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*philosophy-of-mathematics*)avg rating 4.47 — 17 ratings — published 1980

Introduction to Mathematical Philosophy (Paperback)

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avg rating 4.03 — 1,132 ratings — published 1918

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*philosophy-of-mathematics*)avg rating 4.03 — 1,132 ratings — published 1918

Proofs and Refutations: The Logic of Mathematical Discovery (Paperback)

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avg rating 4.26 — 690 ratings — published 1976

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*philosophy-of-mathematics*)avg rating 4.26 — 690 ratings — published 1976

Realism in Mathematics (Paperback)

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avg rating 4.04 — 26 ratings — published 1990

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*philosophy-of-mathematics*)avg rating 4.04 — 26 ratings — published 1990

Why Is There Philosophy of Mathematics At All? (Kindle Edition)

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avg rating 3.53 — 34 ratings — published 2014

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*philosophy-of-mathematics*)avg rating 3.53 — 34 ratings — published 2014

What Is Mathematics, Really? (Paperback)

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avg rating 3.96 — 141 ratings — published 1997

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*philosophy-of-mathematics*)avg rating 3.96 — 141 ratings — published 1997

Brouwer's Cambridge Lectures on Intuitionism (Hardcover)

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avg rating 4.25 — 4 ratings — published 1981

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*philosophy-of-mathematics*)avg rating 4.25 — 4 ratings — published 1981

The Reason's Proper Study: Essays Towards a Neo-Fregean Philosophy of Mathematics (Paperback)

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avg rating 3.67 — 3 ratings — published 2001

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*philosophy-of-mathematics*)avg rating 3.67 — 3 ratings — published 2001

Philosophy of Mathematics and Natural Science (Paperback)

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avg rating 4.26 — 54 ratings — published 1949

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*philosophy-of-mathematics*)avg rating 4.26 — 54 ratings — published 1949

Infinity and the Mind: The Science and Philosophy of the Infinite (Paperback)

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avg rating 4.00 — 732 ratings — published 1981

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*philosophy-of-mathematics*)avg rating 4.00 — 732 ratings — published 1981

The Principles of Mathematics (Paperback)

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avg rating 4.01 — 385 ratings — published 1903

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*philosophy-of-mathematics*)avg rating 4.01 — 385 ratings — published 1903

Mathematics: The Loss of Certainty (Paperback)

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avg rating 4.10 — 456 ratings — published 1980

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*philosophy-of-mathematics*)avg rating 4.10 — 456 ratings — published 1980

A Mathematician's Apology (Paperback)

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avg rating 3.93 — 5,337 ratings — published 1940

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*philosophy-of-mathematics*)avg rating 3.93 — 5,337 ratings — published 1940

Phaedo (Paperback)

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avg rating 4.04 — 9,808 ratings — published -380

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*philosophy-of-mathematics*)avg rating 4.04 — 9,808 ratings — published -380

The Republic (Paperback)

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avg rating 3.94 — 163,235 ratings — published -380

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*philosophy-of-mathematics*)avg rating 3.94 — 163,235 ratings — published -380

The Philosophy of Mathematics (Paperback)

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avg rating 3.00 — 6 ratings — published 1996

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*philosophy-of-mathematics*)avg rating 3.00 — 6 ratings — published 1996

Introduction to Mathematical Thinking: The Formation of Concepts in Modern Mathematics (Paperback)

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avg rating 4.42 — 19 ratings — published 1997

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*philosophy-of-mathematics*)avg rating 4.42 — 19 ratings — published 1997

Meno (Paperback)

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avg rating 3.95 — 6,611 ratings — published -386

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*philosophy-of-mathematics*)avg rating 3.95 — 6,611 ratings — published -386

Synthetic Philosophy of Contemporary Mathematics (Paperback)

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avg rating 4.18 — 40 ratings — published 2012

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*philosophy-of-mathematics*)avg rating 4.18 — 40 ratings — published 2012

Where Mathematics Come From: How the Embodied Mind Brings Mathematics into Being (Paperback)

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avg rating 3.98 — 322 ratings — published 2000

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*philosophy-of-mathematics*)avg rating 3.98 — 322 ratings — published 2000

Foundations of Set Theory (Hardcover)

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avg rating 4.50 — 10 ratings — published 1973

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*philosophy-of-mathematics*)avg rating 4.50 — 10 ratings — published 1973

Philosophy of Mathematics: Selected Writings (Paperback)

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avg rating 3.88 — 8 ratings — published 2010

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*philosophy-of-mathematics*)avg rating 3.88 — 8 ratings — published 2010

The Psychology of Invention in the Mathematical Field (Paperback)

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avg rating 3.91 — 139 ratings — published 1945

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*philosophy-of-mathematics*)avg rating 3.91 — 139 ratings — published 1945

Defending the Axioms: On the Philosophical Foundations of Set Theory (Hardcover)

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avg rating 3.79 — 14 ratings — published 2011

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*philosophy-of-mathematics*)avg rating 3.79 — 14 ratings — published 2011

Naturalism in Mathematics (Paperback)

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avg rating 4.17 — 18 ratings — published 1997

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*philosophy-of-mathematics*)avg rating 4.17 — 18 ratings — published 1997

Reading Frege's Grundgesetze (Hardcover)

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avg rating 4.50 — 4 ratings — published 2012

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*philosophy-of-mathematics*)avg rating 4.50 — 4 ratings — published 2012

The Oxford Handbook of Philosophy of Mathematics and Logic (Paperback)

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avg rating 4.29 — 21 ratings — published 2005

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*philosophy-of-mathematics*)avg rating 4.29 — 21 ratings — published 2005

Incompleteness: The Proof and Paradox of Kurt Gödel (Great Discoveries)

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avg rating 3.97 — 1,334 ratings — published 2005

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*philosophy-of-mathematics*)avg rating 3.97 — 1,334 ratings — published 2005

Philosophies of Mathematics (Paperback)

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avg rating 4.20 — 25 ratings — published 2001

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*philosophy-of-mathematics*)avg rating 4.20 — 25 ratings — published 2001

Mathematics in Philosophy: Selected Essays (Paperback)

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avg rating 4.33 — 3 ratings — published

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*philosophy-of-mathematics*)avg rating 4.33 — 3 ratings — published

Frege: Philosophy of Mathematics (Paperback)

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avg rating 4.00 — 21 ratings — published 1991

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*philosophy-of-mathematics*)avg rating 4.00 — 21 ratings — published 1991

Gödel's Proof (Hardcover)

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avg rating 4.16 — 4,670 ratings — published 1958

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*philosophy-of-mathematics*)avg rating 4.16 — 4,670 ratings — published 1958

Is God a Mathematician? (Hardcover)

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avg rating 3.83 — 1,275 ratings — published 2009

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*philosophy-of-mathematics*)avg rating 3.83 — 1,275 ratings — published 2009

The Philosophy of Set Theory: An Historical Introduction to Cantor's Paradise (Paperback)

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avg rating 3.54 — 39 ratings — published 1989

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*philosophy-of-mathematics*)avg rating 3.54 — 39 ratings — published 1989

Lectures on the Foundations of Mathematics, Cambridge 1939 (paper)

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avg rating 4.29 — 98 ratings — published

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*philosophy-of-mathematics*)avg rating 4.29 — 98 ratings — published

Elements of Set Theory (Hardcover)

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avg rating 4.14 — 59 ratings — published 1977

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*philosophy-of-mathematics*)avg rating 4.14 — 59 ratings — published 1977

C.S. Lewis Signature Classics (Paperback)

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avg rating 4.61 — 3,199 ratings — published 2001

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*philosophy-of-mathematics*)avg rating 4.61 — 3,199 ratings — published 2001

Infinity, Causation, and Paradox (Hardcover)

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avg rating 5.00 — 4 ratings — published

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*philosophy-of-mathematics*)avg rating 5.00 — 4 ratings — published

Remarks on the Foundations of Mathematics (Paperback)

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avg rating 4.04 — 130 ratings — published 1956

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*philosophy-of-mathematics*)avg rating 4.04 — 130 ratings — published 1956

A Mathematician's Lament: How School Cheats Us Out of Our Most Fascinating and Imaginative Art Form (Paperback)

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avg rating 4.16 — 1,955 ratings — published 2009

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*philosophy-of-mathematics*)avg rating 4.16 — 1,955 ratings — published 2009

Mathematics is About the World: How Ayn Rand's Theory of Concepts Unlocks the False Alternatives Between Plato's Mathematical Universe and Hilbert's Game of Symbols (Paperback)

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avg rating 4.07 — 14 ratings — published 2014

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*philosophy-of-mathematics*)avg rating 4.07 — 14 ratings — published 2014

An Aristotelian Realist Philosophy of Mathematics: Mathematics as the Science of Quantity and Structure (Hardcover)

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avg rating 5.00 — 1 rating — published 2014

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*philosophy-of-mathematics*)avg rating 5.00 — 1 rating — published 2014

An Introduction to the Philosophy of Mathematics (Hardcover)

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avg rating 4.23 — 13 ratings — published 2012

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*philosophy-of-mathematics*)avg rating 4.23 — 13 ratings — published 2012

Towards a Philosophy of Real Mathematics (Hardcover)

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avg rating 4.22 — 9 ratings — published 1999

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*philosophy-of-mathematics*)avg rating 4.22 — 9 ratings — published 1999

Set Theory and Its Philosophy: A Critical Introduction (Paperback)

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avg rating 3.89 — 19 ratings — published 2004

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*philosophy-of-mathematics*)avg rating 3.89 — 19 ratings — published 2004

An Introduction to Philosophical Analysis (Paperback)

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avg rating 3.90 — 135 ratings — published 1965

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*philosophy-of-mathematics*)avg rating 3.90 — 135 ratings — published 1965

“When I was young, most teachers of philosophy in British and American universities were Hegelians, so that, until I read Hegel, I supposed there must be some truth to his system; I was cured, however, by discovering that everything he said on the philosophy of mathematics was plain nonsense.”

― Unpopular Essays

― Unpopular Essays

“Origin of the Logical. Where has logic originated in men’s heads? Undoubtedly out of the illogical, the domain of which must originally have been immense. But numberless beings who reasoned otherwise than we do at present, perished; albeit that they may have come nearer to truth than we! Whoever, for example, could not discern the "like" often enough with regard to food, and with regard to animals dangerous to him, whoever, therefore, deduced too slowly, or was too circumspect in his deductions, had smaller probability of survival than he who in all similar cases immediately divined the equality. The preponderating inclination, however, to deal with the similar as the equal - an illogical inclination, for there is no thing equal in itself - first created the whole basis of logic. It was just so (in order that the conception of substance should originate, this being indispensable to logic, although in the strictest sense nothing actual corresponds to it) that for a long period the changing process in things had to be overlooked, and remain unperceived; the beings not seeing correctly had an advantage over those who saw everything "in flux." In itself every high degree of circumspection in conclusions, every sceptical inclination, is a great danger to life. No living being might have been preserved unless the contrary inclination - to affirm rather than suspend judgment, to mistake and fabricate rather than wait, to assent rather than deny, to decide rather than be in the right - had been cultivated with extraordinary assiduity. - The course of logical thought and reasoning in our modern brain corresponds to a process and struggle of impulses, which singly and in themselves are all very illogical and unjust; we experience usually only the result of the struggle, so rapidly and secretly does this primitive mechanism now operate in us.”

― The Gay Science

― The Gay Science