Philosophy of mathematics

This book collects research papers on the philosophical foundations of probability, causality, spacetime and quantum theory.

Originally published in 1923 Chance and Error examines the vagaries of chance, and how this is the result of the interference of yes and no.

A look at one of the most exciting unsolved problems in mathematics todayElliptic Tales describes the latest developments in number theory by looking at one of the most exciting unsolved problems in contemporary mathematics-the Birch and Swinnerton-Dyer Conjecture.

Originally published in 1985.

This book presents a new approach to the epistemology of mathematics by viewing mathematics as a human activity whose knowledge is intimately linked with practice.

Research in mathematics is much more than solving puzzles, but most people will agree that solving puzzles is not just fun: it helps focus the mind and increases one's armory of techniques for doing mathematics.

What is the nature of mathematical knowledge?

How should we reason in science?

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

A comprehensive look at four of the most famous problems in mathematicsTales of Impossibility recounts the intriguing story of the renowned problems of antiquity, four of the most famous and studied questions in the history of mathematics.

Topics in Commutative Ring Theory is a textbook for advanced undergraduate students as well as graduate students and mathematicians seeking an accessible introduction to this fascinating area of abstract algebra.

Originally published in 1937.

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

A unique take on how to survive and thrive in the process your PhD, this is a book that stands out from the crowd of traditional PhD guides.

Originally published in 1994, The Incommensurability Thesis is a critical study of the Incommensurability Thesis of Thomas Kuhn and Paul Feyerabend.

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

In recent years there have been a number of books-both anthologies and monographs-that have focused on the Liar Paradox and, more generally, on the semantic paradoxes, either offering proposed treatments to those paradoxes or critically evaluating ones that occupy logical space.

The interest earned on a bank account, the arrangement of seeds in a sunflower, and the shape of the Gateway Arch in St.

This book presents reverse mathematics to a general mathematical audience for the first time.

Originally published in 1990.

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

This volume contains fourteen papers that were presented at the 2016 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics/La Societe Canadienne d'Histoire et de Philosophie des Mathematiques, held at the University of Calgary in Alberta, Canada.

Reissuing works originally published between 1931 and 1990, this set of twenty-four books covers the full range of the philosophy of logic, from introductions to logic, to calculus and mathematical logic, to logic in language and linguistics and logical reasoning in law and ethics.

This monograph offers a fresh perspective on the applicability of mathematics in science.

This is the first wide-ranging analysis of Alain Badiou's use, development and transformation of the concept of history.

In this deft and vigorous book, Mark Balaguer demonstrates that there are no good arguments for or against mathematical platonism (ie.

This volume shows Russell in transition from a neo-Kantian and neo-Hegelian philosopher to an analytic philosopher of the first rank.

This book has two objectives: to be a contribution to the understanding of Frege's theory of truth - especially a defence of his notorious critique of the correspondence theory - and to be an introduction to the practice of interpreting philosophical texts.

Contemporary philosophy of mathematics offers us an embarrassment of riches.

This book deals with the evolution of mathematical thought during the 20th century.

Mathematical Meditations identifies, explores, and celebrates those aspects of mathematics that are good for you and your overall wellbeing.

This volume will provide invaluable assistance for mathematicians, historians of mathematics and users of mathematics in the retrieval of information about mathematicians and topics in mathematics and closely related fields.

In line with the emerging field of philosophy of mathematical practice, this book pushes the philosophy of mathematics away from questions about the reality and truth of mathematical entities and statements and toward a focus on what mathematicians actually do-and how that evolves and changes over time.

Think of a number, any number, or properties like fragility and humanity.

Some combinations of attitudes--of beliefs, credences, intentions, preferences, hopes, fears, and so on--do not fit together right: they are incoherent.

The genesis of the digital idea and why it transformed civilizationA few short decades ago, we were informed by the smooth signals of analog television and radio; we communicated using our analog telephones; and we even computed with analog computers.

A fascinating exploration of the pentagon and its role in various culturesThe pentagon and its close cousin, the pentagram, have inspired individuals for the last two and half millennia, from mathematicians and philosophers to artists and naturalists.

A NEW YORK TIMES BESTSELLERThe official book behind the Academy Award-winning film The Imitation Game, starring Benedict Cumberbatch and Keira KnightleyIt is only a slight exaggeration to say that the British mathematician Alan Turing (19121954) saved the Allies from the Nazis, invented the computer and artificial intelligence, and anticipated gay liberation by decadesall before his suicide at age forty-one.

Essentials of Mathematical Thinking addresses the growing need to better comprehend mathematics today.

Originally published in 1976.

This book examines positions that challenge the Fregean logic-first view.

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.

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

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

The Scholarship of Teaching and Learning: A Guide for Scientists, Engineers, and Mathematicians shows college and university faculty members how to draw on their disciplinary knowledge and teaching experience to investigate questions about student learning.

Unter den Philosophen war Cassirer einer der ersten, der die philosophischen Probleme erkannte und aufgenommen hat, die durch Fortschritte der modernen Physik aufgeworfen wurden.