Philosophy of mathematics

Originally published in 1962.

This book explains exactly what human knowledge is.

Essays by leading scholars on Isaac Newton and his philosophical interlocutors and critics, discussing a wide range of topics.

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

How mathematics helped build the world's most important buildings from early Egypt to the presentFrom the pyramids and the Parthenon to the Sydney Opera House and the Bilbao Guggenheim, this book takes readers on an eye-opening tour of the mathematics behind some of the world's most spectacular buildings.

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.

Vagueness is a subject of long-standing interest in the philosophy of language, metaphysics, and philosophical logic.

Inspired by recent developments in dependent type theory and infinity categories, this book presents a history of ideas around the topics of truth, proof, equality and equivalence.

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

Apart from its foray into technical issues of risk assessment and management,  this book has one principal aim.

Hans Vaihinger (1852-1933) was an important and fascinating figure in German philosophy in the early twentieth century, founding the well-known journal Kant-Studien.

In this two-volume compilation of articles, leading researchers reevaluate the success of Hilbert's axiomatic method, which not only laid the foundations for our understanding of modern mathematics, but also found applications in physics, computer science and elsewhere.

Many philosophers, physicists, and mathematicians have wondered about the remarkable relationship between mathematics with its abstract, pure, independent structures on one side, and the wilderness of natural phenomena on the other.

All the Math Your 5th Grader Needs to SucceedThis book will help your elementary school student develop the math skills needed to succeed in the classroom and on standardized tests.

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.

Mathematicians Playing Games explores a wide variety of popular mathematical games, including their historical beginnings and the mathematical theories that underpin them.

Recounts the modern transformation of model theory and its effects on the philosophy of mathematics and mathematical practice.

The nature of reality has been a long-debated issue among scientists and philosophers.

Originally published in 1973.

While we are commonly told that the distinctive method of mathematics is rigorous proof, and that the special topic of mathematics is abstract structure, there has been no agreement among mathematicians, logicians, or philosophers as to just what either of these assertions means.

The world around us is saturated with numbers.

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Originally published in 1964.

Spherical Geometry and Its Applications introduces spherical geometry and its practical applications in a mathematically rigorous form.

How our understanding of calculus has evolved over more than three centuries, how this has shaped the way it is taught in the classroom, and why calculus pedagogy needs to changeCalculus Reordered takes readers on a remarkable journey through hundreds of years to tell the story of how calculus evolved into the subject we know today.

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.

This book reveals the myriad aspects of Big Data collection and analysis, by defining and clarifying the meaning of Big Data and its unique characteristics in a non-technical and easy-to-follow way.

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.

THE INTERNATIONAL BESTSELLER'An entertaining tour that will change how you see the world' Sean Carroll, author of Something Deeply HiddenIs there a secret formula for improving your life?

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

This book offers an alternative to current philosophy of mathematics: heuristic philosophy of mathematics.

This book offers a historical explanation of important philosophical problems in logic and mathematics, which have been neglected by the official history of modern logic.

An accessible survey of a programme in logic that allows mathematics to be inconsistent.

This book explores precisely how mathematics allows us to model and predict the behaviour of physical systems, to an amazing degree of accuracy.

Do numbers, sets, and so forth, exist?

This book provides the reader with a comprehensive account of the contributions of Pythagoras to mathematics and philosophy, using them as a starting point to compare pre-Pythagorean accomplishments with the myriad mathematical developments that followed.

Die Frage, ob die beiden in dieser Ausgabe zweisprachig vorgelegten Texte tatsächlich von Spinoza stammen, ist in der Forschung heftig umstritten.

Published in 1903, this book was the first comprehensive treatise on the logical foundations of mathematics written in English.

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.

A compelling firsthand account of Keith Devlin's ten-year quest to tell Fibonacci's storyIn 2000, Keith Devlin set out to research the life and legacy of the medieval mathematician Leonardo of Pisa, popularly known as Fibonacci, whose book Liber abbaci has quite literally affected the lives of everyone alive today.

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

A mathematical journey through the most fascinating problems of extremes and how to solve themWhat is the best way to photograph a speeding bullet?

The Four Corners of Mathematics: A Brief History, from Pythagoras to Perelman describes the historical development of the 'big ideas' in mathematics in an accessible and intuitive manner.

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 presents new research into key areas of the work of German philosopher and mathematician Gottfried Wilhelm Leibniz (1646-1716).