Philosophy of mathematics

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.

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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.

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

This is a charming and insightful contribution to an understanding of the "e;Science Wars"e; between postmodernist humanism and science, driving toward a resolution of the mutual misunderstanding that has driven the controversy.

There is a need for integrated thinking about causality, probability and mechanisms in scientific methodology.

Introduces readers to the history of necessity and possibility, two modal concepts which play a key role in philosophy.

Originally published in 1985.

Why are there paradoxes?

We are all captivated and puzzled by the infinite, in its many varied guises; by the endlessness of space and time; by the thought that between any two points in space, however close, there is always another; by the fact that numbers go on forever; and by the idea of an all-knowing, all-powerful God.

This book, following the three published volumes of the book, provides the main purpose to collect research papers and review papers to provide an overview of the main issues, results, and open questions in the cutting-edge research on the fields of modeling, optimization, and dynamics and their applications to biology, economy, energy, industry, physics, psychology and finance.

Mathematics and logic have been central topics of concern since the dawn of philosophy.

A comprehensive collection of historical readings in the philosophy of mathematics and a selection of influential contemporary work, this much-needed introduction reveals the rich history of the subject.

This book provides a broad picture of solution concepts that are highly applicable to operations and supply chain settings and to explicate these concepts with some of the relevant problems in operations management in multi-agent settings.

This volume presents the proceedings of the 2000 European Summer Meeting of the Association for Symbolic Logic, marking one hundred years since Hilbert''s famous lecture.

Essays on Existence and Essence presents a series of writings--including several previously unpublished--by Bob Hale on the topics of ontology and modality.

This book is focused on the first three parts of Bolzano's Theory of Sciene and introduces a more systematic reconsideration of Bolzano's logial thought.

Despite his tragic death at the age of 26, Frank Ramsey (1903 - 1930) remains one of the most intriguing minds of the twentieth century.

Originally published in 1986.

Contemporary philosophy of mathematics offers us an embarrassment of riches.

Designed for engineering graduate students, this book connects basic mathematics to a variety of methods used in engineering problems.

Philosophy of Mathematics is an excellent introductory text.

This study of mathematical structuralism explores its core concern with interrelations in abstraction from the nature of objects.

This volume brings together new essays that consider Wittgenstein's treatment of the phenomenon of aspect perception in relation to the broader idea of conceptual novelty; that is, the acquisition or creation of new concepts, and the application of an acquired understanding in unfamiliar or novel situations.

Dummett argues that the aim of philosophy is the analysis of thought and that, with Frege, analytical philosophy learned that the route to the analysis of thought is the analysis of language.

Is a whole something more than the sum of its parts?

With a never-before published paper by Lord Henry Cavendish, as well as a biography on him, this book offers a fascinating discourse on the rise of scientific attitudes and ways of knowing.

In The Medium of Contingency Elie Ayache builds upon his ground-breaking book The Blank Swan, in exploring the intersection of philosophy and finance, introducing new notions of price and market.

Paradoxes of the Infinite presents one of the most insightful, yet strangely unacknowledged, mathematical treatises of the 19th century: Dr Bernard Bolzano's Paradoxien.

On the General Science of Mathematics is the third of four surviving works out of ten by Iamblichus (c.

Logic Works is a critical and extensive introduction to logic.

In this book Michael Potter offers a fresh and compelling portrait of the birth of modern analytic philosophy, viewed through the lens of a detailed study of the work of the four philosophers who contributed most to shaping it: Gottlob Frege, Bertrand Russell, Ludwig Wittgenstein, and Frank Ramsey.

Mathematics instructors are always looking for ways to engage students in meaningful and authentic tasks that utilize mathematics.