Philosophy of mathematics

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

Originally published in 1964.

"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.

An innovative and largely self-contained textbook bringing model theory to an undergraduate audience.

This book gathers the most essential results, including recent ones, on linear-quadratic optimal control problems, which represent an important aspect of stochastic control.

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.

An innovative and largely self-contained textbook bringing model theory to an undergraduate audience.

A survey of some of the main-line developments in trigonometric series.

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

Uncover the language of our universe - numbers - in this wide-ranging whistle-stop tour of the history and majesty of mathematics.

An exquisite visual celebration of the 2,500-year history of geometryIf you've ever thought that mathematics and art don't mix, this stunning visual history of geometry will change your mind.

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

In this book, David Stump traces alternative conceptions of the a priori in the philosophy of science and defends a unique position in the current debates over conceptual change and the constitutive elements in science.

The year's finest writing on mathematics from around the worldThis annual anthology brings together the year's finest mathematics writing from around the world.

What is mathematics about?

Originally published in 1962.

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?

The emigration of mathematicians from Europe during the Nazi era signaled an irrevocable and important historical shift for the international mathematics world.

This volume of Bertrand Russell's Collected Papers finds Russell focused on writing Principia Mathematica during 1905-08.

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

A fascinating journey through intriguing mathematical and philosophical territory - a lively introduction to this contemporary topic.

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.

Originally published in 1964.

Originally published in 1976.

Carl Friedrich Gauss, the "e;foremost of mathematicians,"e; was a land surveyor.

Originally published in 1991.

Towards Relational Sociology argues that social worlds comprise networks of interaction and relations.

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.

PEN/WILSON LITERARY SCIENCE WRITING AWARD FINALIST 2023'A beautifully written meditation on mathematics: whimsical, thought-provoking and deep' ALEX BELLOS, author of Alex's Adventures in Numberland'Infinitely fascinating' THE TIMESOur universe has multiple origin stories, from religious creation myths to the Big Bang of scientists.

This textbook provides a self-contained introduction to decidability of first-order theories and their combination.

What is mathematics about?

Offers the first comprehensive textbook covering the interrelations between topics in the philosophy of logic in an accessible, non-technical, and up-to-date way.

Are fictional characters such as Sherlock Holmes real?

This book presents eight papers about important historiographical issues as debated in the history of science in Islamicate societies, the history of science and philosophy of medieval Latin Europe and the history of mathematics as an academic discipline.

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

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

This edited collection covers Friedrich Waismann's most influential contributions to twentieth-century philosophy of language: his concepts of open texture and language strata, his early criticism of verificationism and the analytic-synthetic distinction, as well as their significance for experimental and legal philosophy.

The celebrated mathematician and philosopher Pythagoras left no writings.

This volume tells the story of the legacy and impact of the great German polymath Gottfried Wilhelm Leibniz (1646-1716).

Are there objects that are "e;thin"e; in the sense that not very much is required for their existence?

Originally published in 1973.

Math and Art: An Introduction to Visual Mathematics explores the potential of mathematics to generate visually appealing objects and reveals some of the beauty of mathematics.

Originally published in 1966 On the Syllogism and Other Logical Writings assembles for the first time the five celebrated memoirs of Augustus De Morgan on the syllogism.

An unparalleled illustrated history of spherical trigonometry from antiquity to todayHeavenly Mathematics traces the rich history of spherical trigonometry, revealing how the cultures of classical Greece, medieval Islam, and the modern West used this forgotten art to chart the heavens and the Earth.

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.

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

While many books have been written about Bertrand Russell's philosophy and some on his logic, I.

Introductory logic is generally taught as a straightforward technical discipline.