Philosophy of mathematics

To what extent are the subjects of our thoughts and talk real?

How is that when scientists need some piece of mathematics through which to frame their theory, it is there to hand?

Metaphysics is sensitive to the conceptual tools we choose to articulate metaphysical problems.

Metaphysics is sensitive to the conceptual tools we choose to articulate metaphysical problems.

Mathematical and philosophical thought about continuity has changed considerably over the ages.

Algebraic Art explores the invention of a peculiarly Victorian account of the nature and value of aesthetic form, and it traces that account to a surprising source: mathematics.

Algebraic Art explores the invention of a peculiarly Victorian account of the nature and value of aesthetic form, and it traces that account to a surprising source: mathematics.

Niel Bohr's life spans times of revolutionary change, in science and in its impact on society.

Model theory is used in every theoretical branch of analytic philosophy: in philosophy of mathematics, in philosophy of science, in philosophy of language, in philosophical logic, and in metaphysics.

A History of Mathematics: From Mesopotamia to Modernity covers the evolution of mathematics through time and across the major Eastern and Western civilizations.

This book is designed to explain the technical ideas that are taken for granted in much contemporary philosophical writing.

This book is designed to explain the technical ideas that are taken for granted in much contemporary philosophical writing.

Gottlob Frege's Grundgesetze der Arithmetik, or Basic Laws of Arithmetic, was intended to be his magnum opus, the book in which he would finally establish his logicist philosophy of arithmetic.

Abstractionism, which is a development of Frege's original Logicism, is a recent and much debated position in the philosophy of mathematics.

How should we reason in science?

Roy T Cook examines the Yablo paradox--a paradoxical, infinite sequence of sentences, each of which entails the falsity of all others later than it in the sequence--with special attention paid to the idea that this paradox provides us with a semantic paradox that involves no circularity.

Logic is a field studied mainly by researchers and students of philosophy, mathematics and computing.

Logic is a field studied mainly by researchers and students of philosophy, mathematics and computing.

Head hits cause brain damage - but not always.

Head hits cause brain damage - but not always.

Our conception of logical space is the set of distinctions we use to navigate the world.

Michael G.

David Bostock presents a critical appraisal of Bertrand Russell's philosophy from 1900 to 1924--a period that is considered to be the most important in his career.

This is the first logically precise, computationally implementable, book-length account of rational belief revision.

During the Victorian era, industrial and economic growth led to a phenomenal rise in productivity and invention.

During the Victorian era, industrial and economic growth led to a phenomenal rise in productivity and invention.

The interplay between computability and randomness has been an active area of research in recent years, reflected by ample funding in the USA, numerous workshops, and publications on the subject.

Is mathematics a highly sophisticated intellectual game in which the adepts display their skill by tackling invented problems, or are mathematicians engaged in acts of discovery as they explore an independent realm of mathematical reality?

Is mathematics a highly sophisticated intellectual game in which the adepts display their skill by tackling invented problems, or are mathematicians engaged in acts of discovery as they explore an independent realm of mathematical reality?

This third edition, now available in paperback, is a follow up to the author's classic Boolean-Valued Models and Independence Proofs in Set Theory,.

Frege's Theorem collects eleven essays by Richard G Heck, Jr, one of the world's leading authorities on Frege's philosophy.

Richard Tieszen presents an analysis, development, and defense of a number of central ideas in Kurt Godel's writings on the philosophy and foundations of mathematics and logic.

Mathematics depends on proofs, and proofs must begin somewhere, from some fundamental assumptions.

We live an information-soaked existence - information pours into our lives through television, radio, books, and of course, the Internet.

This Handbook explores the history of mathematics under a series of themes which raise new questions about what mathematics has been and what it has meant to practice it.

In the follow-up to his acclaimed Science in the Looking Glass, Brian Davies discusses deep problems about our place in the world, using a minimum of technical jargon.

Mary Leng offers a defense of mathematical fictionalism, according to which we have no reason to believe that there are any mathematical objects.

We live an information-soaked existence - information pours into our lives through television, radio, books, and of course, the Internet.

Contemporary philosophy of mathematics offers us an embarrassment of riches.

Grounding Concepts tackles the issue of arithmetical knowledge, developing a new position which respects three intuitions which have appeared impossible to satisfy simultaneously: a priorism, mind-independence realism, and empiricism.

The interplay between computability and randomness has been an active area of research in recent years, reflected by ample funding in the USA, numerous workshops, and publications on the subject.

This Handbook explores the history of mathematics under a series of themes which raise new questions about what mathematics has been and what it has meant to practice it.

Many philosophers these days consider themselves naturalists, but it's doubtful any two of them intend the same position by the term.

What is the nature of mathematical knowledge?

A History of Mathematics: From Mesopotamia to Modernity covers the evolution of mathematics through time and across the major Eastern and Western civilizations.

The Cambridge philosopher Frank Ramsey (1903-1930) died tragically young, but had already established himself as one of the most brilliant minds of the twentieth century.

This edited volume, aimed at both students and researchers in philosophy, mathematics and history of science, highlights leading developments in the overlapping areas of philosophy and the history of modern mathematics.

Bernard Bolzano (1781-1848, Prague) was a remarkable thinker and reformer far ahead of his time in many areas, including philosophy, theology, ethics, politics, logic, and mathematics.

Model theory, a major branch of mathematical logic, plays a key role connecting logic and other areas of mathematics such as algebra, geometry, analysis, and combinatorics.

This volume aims to provide the elements for a systematic exploration of certain fundamental notions of Peirce and Husserl in respect with foundations of science by means of drawing a parallelism between their works.