Philosophy of mathematics

First published in 1974.

The Boundary Stones of Thought seeks to defend classical logic from a number of attacks of a broadly anti-realist character.

This monograph examines the private annotations that Ludwig Wittgenstein made to his copy of G.

Proceedings of the Association for Symbolic Logic meeting held in Helsinki, Finland, in 1990, containing eighteen papers by leading researchers.

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

The Definitive Introduction ToThe Relationship BetweenReligion And Science In The Beginning: Why Did the Big Bang Occur?

Maurice Potron (1872-1942), a French Jesuit mathematician, constructed and analyzed a highly original, but virtually unknown economic model.

This volume offers a broad, philosophical discussion on mechanical explanations.

Number Systems: A Path into Rigorous Mathematics aims to introduce number systems to an undergraduate audience in a way that emphasises the importance of rigour, and with a focus on providing detailed but accessible explanations of theorems and their proofs.

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

Alex Oliver and Timothy Smiley provide a natural point of entry to what for most readers will be a new subject.

This book explores the birth of the scientific understanding of motion in early Greek thought up to Aristotle.

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

People tend to rank values of all kinds linearly from good to bad, but there is little reason to think that this is reasonable or correct.

This volume contains six new and fifteen previously published essays -- plus a new introduction -- by Storrs McCall.

The history of mathematics is filled with major breakthroughs resulting from solutions to recreational problems.

The philosophy of mathematics is an exciting subject.

An entertaining look at the origins of mathematical symbolsWhile all of us regularly use basic math symbols such as those for plus, minus, and equals, few of us know that many of these symbols weren't available before the sixteenth century.

This book considers the manifold possible approaches, past and present, to our understanding of the natural numbers.

This text examines the boundary between logic and philosophy in Kant and Hegel.

This reissue of D.

Originally published in 1969.

If mathematics is the purest form of knowledge, the perfect foundation of all the hard sciences, and a uniquely precise discipline, then how can the human brain, an imperfect and imprecise organ, process mathematical ideas?

This book provides a critical, up-to-date and original overview of the contemporary metaphysical debate on the problem of universals.

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

Jung: A Complete Introduction is designed to give you everything you need to succeed, all in one place.

This book is meant as a part of the larger contemporary philosophical project of naturalizing logico-mathematical knowledge, and addresses the key question that motivates most of the work in this field: What is philosophically relevant about the nature of logico-mathematical knowledge in recent research in psychology and cognitive science?

This volume brings together many of Terence Horgan's essays on paradoxes: Newcomb's problem, the Monty Hall problem, the two-envelope paradox, the sorites paradox, and the Sleeping Beauty problem.

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.

A 2001 graduate text on modal logic, a field which has caught the attention of computer scientists, economists and computational linguists.

Leibniz published the Dissertation on Combinatorial Art in 1666.

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.

Analytic Philosophy: An Interpretive History explores the ways interpretation (of key figures, factions, texts, etc.

The essays in this volume present a sustained case for a healthy pluralism in mathematics and its logics.

Jesuit engagement with natural philosophy during the late 16th and early 17th centuries transformed the status of the mathematical disciplines and propelled members of the Order into key areas of controversy in relation to Aristotelianism.

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

Putnam is one of the most influential philosophers of recent times, and his authority stretches far beyond the confines of the discipline.

Alain Badiou has claimed that Quentin Meillassoux's book After Finitude (Bloomsbury, 2008) opened up a new path in the history of philosophy.

In his long-awaited new edition of Philosophy of Mathematics, James Robert Brown tackles important new as well as enduring questions in the mathematical sciences.

Today complex numbers have such widespread practical use--from electrical engineering to aeronautics--that few people would expect the story behind their derivation to be filled with adventure and enigma.

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

Offers a comprehensive and accessible exploration of the scope and importance of Gottlob Frege''s work.

The breathtakingly rapid pace of change in computing makes it easy to overlook the pioneers who began it all.

Chemistry, physics and biology are by their nature genuinely difficult.

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

This book examines the role of acts of choice in classical and intuitionistic mathematics.

The book introduces a hot topic of novel and emerging computing paradigms and architectures -computation by travelling waves in reaction-diffusion media.

Presents a mathematically rigorous, philosophically sound foundation for a science of information.

Probability has fascinated philosophers, scientists, and mathematicians for hundreds of years.