Philosophy of mathematics

This study of mathematical structuralism explores its core concern with interrelations in abstraction from the nature of objects.

This volume contains proceedings of the European Summer Meeting of the Association for Symbolic Logic, held in Vienna, Austria in August, 2001.

Presents the outline of mathematics and its history, with particular emphasis on events that shook up its philosophy.

What are the meanings of number expressions, what can they tell us about questions central to the philosophy of mathematics?

The author revisits logicism in light of recent advances in mathematical logic and theoretical computer science.

Presents the outline of mathematics and its history, with particular emphasis on events that shook up its philosophy.

What are the meanings of number expressions, what can they tell us about questions central to the philosophy of mathematics?

This volume examines the inexhaustibility of mathematical knowledge by presenting a particular view of the topic of Gödelian extensions of theories.

This study of mathematical structuralism explores its core concern with interrelations in abstraction from the nature of objects.

The philosophical positions of realism and anti-realism are difficult to distinguish, nowhere more so than in the philosophy of mathematics.

Presents a detailed and critical examination of the available conceptions of set and proposes a novel version.

This book introduces the reader to the mathematical core of intuitionism and to the two central topics of ''formalized intuitionism''.

This volume contains the proceedings of the European Summer Meeting of the Association for Symbolic Logic, held in Utrecht, The Netherlands in 1999.

The philosophical positions of realism and anti-realism are difficult to distinguish, nowhere more so than in the philosophy of mathematics.

Hacking explores how mathematics became possible for the human race, and how it ensured our status as the dominant species.

Hacking explores how mathematics became possible for the human race, and how it ensured our status as the dominant species.

Includes an introduction, contextualizing his book in light of developing philosophical trends.

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

Includes an introduction, contextualizing his book in light of developing philosophical trends.

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

An accessible survey of a programme in logic that allows mathematics to be inconsistent.

An accessible survey of a programme in logic that allows mathematics to be inconsistent.

Originally published in 1973.

Originally published in 1966.

Originally published in 1973.

Originally published in 1966.

Originally published in 1969.

Originally published in 1969.

"e;The philosophy of mathematics will naturally be expected to deal with questions at the frontier of knowledge, as to which comparative certainty is not yet attained.

"e;The philosophy of mathematics will naturally be expected to deal with questions at the frontier of knowledge, as to which comparative certainty is not yet attained.

Since 1973, Galois theory has been educating undergraduate students on Galois groups and classical Galois theory.

Since 1973, Galois theory has been educating undergraduate students on Galois groups and classical Galois theory.

Originally published in 1995 Time and Logic examines understanding and application of temporal logic, presented in computational terms.

Originally published in 1995 Time and Logic examines understanding and application of temporal logic, presented in computational terms.

This is a remarkable work which captures the reader's imagination as only few books do.

This is a remarkable work which captures the reader's imagination as only few books do.

Part of theLongman Library of Primary Sources in Philosophy, this edition of Frege's Foundations of Arithmetic is framed by a pedagogical structure designed to make this important work of philosophy more accessible and meaningful for undergraduates.

Part of theLongman Library of Primary Sources in Philosophy, this edition of Frege's Foundations of Arithmetic is framed by a pedagogical structure designed to make this important work of philosophy more accessible and meaningful for undergraduates.

This series of books is meant to present the fundamentals of reasoning well in a clear manner accessible to both scholars and students.

Was, wenn der Urknall weniger eine unumstößliche Wahrheit als vielmehr eine gedankliche ›Erfindung‹ ist?

Model theory is the meta-mathematical study of the concept of mathematical truth.

Model theory is the meta-mathematical study of the concept of mathematical truth.

A book that finally demystifies Newton's experiments in alchemyWhen Isaac Newton's alchemical papers surfaced at a Sotheby's auction in 1936, the quantity and seeming incoherence of the manuscripts were shocking.

This book develops a new approach to plural arbitrary reference and examines mereology, including considering four theses on the alleged innocence of mereology.

In recent decades it has become obvious that mathematics has always been a worldwide activity.

An engrossing look at the history and importance of a centuries-old but still unanswered math problemFor centuries, mathematicians the world over have tried, and failed, to solve the zeta-3 problem.

A mathematical journey through the most fascinating problems of extremes and how to solve themWhat is the best way to photograph a speeding bullet?

Few American lives have been as celebrated--or as closely scrutinized--as that of Benjamin Franklin.

A foundational work on historical and social studies of quantificationWhat accounts for the prestige of quantitative methods?

How a simple equation reshaped mathematicsLeonhard Euler's polyhedron formula describes the structure of many objects-from soccer balls and gemstones to Buckminster Fuller's buildings and giant all-carbon molecules.