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Philosophy of Mathematics

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Paperback | 30 April 1984 | Edition Number 2

At a Glance

Paperback
612 Pages

Edition Type
Revised

Dimensions(cm)
22.86 x 15.24 x 3.45

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The twentieth century has witnessed an unprecedented 'crisis in the foundations of mathematics', featuring a world-famous paradox (Russell's Paradox), a challenge to 'classical' mathematics from a world-famous mathematician (the 'mathematical intuitionism' of Brouwer), a new foundational school (Hilbert's Formalism), and the profound incompleteness results of Kurt Goedel. In the same period, the cross-fertilization of mathematics and philosophy resulted in a new sort of 'mathematical philosophy', associated most notably (but in different ways) with Bertrand Russell, W. V. Quine, and Goedel himself, and which remains at the focus of Anglo-Saxon philosophical discussion. The present collection brings together in a convenient form the seminal articles in the philosophy of mathematics by these and other major thinkers. It is a substantially revised version of the edition first published in 1964 and includes a revised bibliography. The volume will be welcomed as a major work of reference at this level in the field.

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Non-Fiction Mathematics Philosophy of Mathematics Philosophy Social & Political Philosophy Science Science in General Philosophy of Science

Preface to the second edition
Introduction
The Foundations of Mathematics
The logicist foundations of mathematics
The intuitionist foundations of mathematics
The formalist foundations of mathematics
Disputation
Intuitionism and formalism
Consciousness, philosophy, and mathematics
The philosophical basis of intuitionistic logic
The concept of number
Selections from Introduction to Mathematical Philosophy
On the infinite
Remarks on the definition and nature of mathematics
Hilbert's programme
The Existence of Mathematical Objects
Empiricism, semantics, and ontology
On Platonism in mathematics
What numbers could not be
Mathematics without foundations
Mathematical Truth
The a priori Alfred
Truth by convention
On the nature of mathematical truth
On the nature of mathematical reasoning
Mathematical truth
Models and reality
The Concept of Set
Russell's mathematical logic
What in Cantor's continuum problem?
The iterative concept of set
The concept of set
Bibliography
Table of Contents provided by Publisher. All Rights Reserved.

Philosophy of Mathematics

Selected Readings

At a Glance

Paperback

Shipping

How to return your order

Defective items

You Can Find This Book In

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