Philosophy of mathematics

In his monumental 1687 work, Philosophiae Naturalis Principia Mathematica, known familiarly as thePrincipia, Isaac Newton laid out in mathematical terms the principles of time, force, and motion that have guided the development of modern physical science.

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

This 1998 book breathes new life into classical design arguments, showing how incomplete undirected causes are for science.

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.

This study reconstructs, analyses and re-evaluates the programme of influential mathematical thinker David Hilbert, presenting it in a different light.

Uniquely, this book traces Descartes'' groundbreaking theory of scientific explanation back to the mathematical demonstrations of Aristotelian mechanics.

This book looks to change our thinking about thinking by looking at communication and cognition, or commognition.

In Mathematical Thought and its Objects, Charles Parsons examines the notion of object.

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

In this 2005 book, logic, mathematical knowledge and objects are explored alongside reason and intuition in the exact sciences.

This 2006 book provides an accessible, yet technically sound treatment of modal logic and its philosophical applications.

In this 2006 volume, Alexander Pruss examines the substantive philosophical issues raised by the Principle of Sufficient Reason.

Volume I of the first authoritative translation of Archimedes'' works into English.

An insightful overview of how syntactic theory was influenced by developments in the formal sciences during the twentieth Century.

This volume contains essays on the history and philosophy of probability and statistics.

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

Corfield sets out a variety of approaches to new thinking about the philosophy of mathematics.

This innovative study offers stimulating discussions of the relation of conceptual expansion to truth, meaning, reference, ontology and paradox.

Many aspects of research activity in science are opaque to outsiders and this opacity infects how connections are made between science and other disciplines.

Many aspects of research activity in science are opaque to outsiders and this opacity infects how connections are made between science and other disciplines.

Reissuing five works originally published between 1937 and 1991, this collection contains books addressing the subject of time, from a mostly philosophic point of view but also of interest to those in the science and mathematics worlds.

Originally published in 1937.

Originally published in 1937.

Originally published in 1976.

Originally published in 1976.

Originally published in 1991.

Originally published in 1991.

Originally published in 1964.

Originally published in 1964.

Originally published in 1980.

Originally published in 1980.

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.

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.

This volume builds on two recent developments in philosophy on the relationship between art and science: the notion of representation and the role of values in theory choice and the development of scientific theories.

This volume builds on two recent developments in philosophy on the relationship between art and science: the notion of representation and the role of values in theory choice and the development of scientific theories.

Hex: The Full Story is for anyone - hobbyist, professional, student, teacher - who enjoys board games, game theory, discrete math, computing, or history.

Hex: The Full Story is for anyone - hobbyist, professional, student, teacher - who enjoys board games, game theory, discrete math, computing, or history.

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.

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.

Tessellations: Mathematics, Art and Recreation aims to present a comprehensive introduction to tessellations (tiling) at a level accessible to non-specialists.

X Marks the Spot is written from the point of view of the users of mathematics.

Tessellations: Mathematics, Art and Recreation aims to present a comprehensive introduction to tessellations (tiling) at a level accessible to non-specialists.

X Marks the Spot is written from the point of view of the users of mathematics.

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

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.

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.

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

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.

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.