Philosophy of mathematics

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.

Develops and defends a new metaphysical and logical theory of arbitrary objects that will reinvigorate the philosophy of mathematics.

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.

This book highlights the many ideas and algorithms that Peter L.

This book highlights the many ideas and algorithms that Peter L.

Inside Mathforum.

Inside Mathforum.

Leading thinkers in mathematics, philosophy and education offer new insights into the fundamental question: what is a mathematical concept?

Leading thinkers in mathematics, philosophy and education offer new insights into the fundamental question: what is a mathematical concept?

The first fully-fledged English translation of perhaps Archimedes'' most attractive mathematical work, with comments on his scientific style.

Recounts the modern transformation of model theory and its effects on the philosophy of mathematics and mathematical practice.

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.

This book tells the story of the first computer exploration of Klein''s vision of infinitely repeated reflections, featuring extraordinary images.

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.

Most previous research on human cognition has focused on problem-solving, and has confined its investigations to the laboratory.

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

Computability and Logic is a classic because of its accessibility to students without a mathematical background.

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.

Mathematical Recreations from the Tournament of the Towns contains the complete list of problems and solutions to the International Mathematics Tournament of the Towns from Fall 2007 to Spring 2021.

Mathematical Recreations from the Tournament of the Towns contains the complete list of problems and solutions to the International Mathematics Tournament of the Towns from Fall 2007 to Spring 2021.

This volume assembles cutting-edge scholarship on scientific understanding, scientific representation, and their delicate interplay.

This volume assembles cutting-edge scholarship on scientific understanding, scientific representation, and their delicate interplay.

Originally published in 1990.

Originally published in 1934.

Originally published in 1937.

Originally published in 1931.

Originally published in 1966.

Originally published in 1941.

Originally published in 1985.

Originally published in 1988.

Originally published in 1962.

Originally published in 1967.

Originally published in 1973.

Originally published in 1965.

Originally published in 1966.

Originally published in 1990.

Originally published in 1934.

Originally published in 1937.

Originally published in 1931.

Originally published in 1966.