Philosophy of mathematics

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.

Often people have wondered why there is no introductory text on category theory aimed at philosophers working in related areas.

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.

Why narrative is essential to mathematicsCircles Disturbed brings together important thinkers in mathematics, history, and philosophy to explore the relationship between mathematics and narrative.

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

Charles Sanders Peirce (1839-1914) is generally regarded as the founder of pragmatism, and one of the greatest ever American philosophers.

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.

Philosophy of science studies the methods, theories, and concepts used by scientists.

Originally published in 1927 this book presents the main features of Newton's life and his chief contributions to scientific knowledge.

Provides readers with experience of working on difficult unsolved problems.

The philosophy of mathematics is an exciting subject.

In this groundbreaking volume, leading philosophers and mathematicians explore Kurt Gödel''s work on the foundations and philosophy of mathematics.

An accessible book that examines the mathematics of weather predictionInvisible in the Storm is the first book to recount the history, personalities, and ideas behind one of the greatest scientific successes of modern times-the use of mathematics in weather prediction.

A thorough account of the philosophy of mathematics.

This book examines the effects of the pattern of growing integration between the rural and urban economies in India.

Originally published in 1966.

A sophisticated, original introduction to the philosophy of mathematics from one of its leading contemporary scholarsMathematics is one of humanity's most successful yet puzzling endeavors.

This handbook features essays written by both literary scholars and mathematicians that examine multiple facets of the connections between literature and mathematics.

Kurt Godel (1906-1978) was an Austrian-American mathematician, who is best known for his incompleteness theorems.

This book offers a plurality of perspectives on the historical origins of logicism and on contemporary developments of logicist insights in philosophy of mathematics.

If we must take mathematical statements to be true, must we also believe in the existence of abstracta eternal invisible mathematical objects accessible only by the power of pure thought?

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

First published in 1990, this book consists of a detailed exposition of results of the theory of "e;interpretation"e; developed by G.

This book is a sympathetic reconstruction of Henri Poincar's anti-realist philosophy of mathematics.

Gottlob Frege's Grundgesetze der Arithmetik, or Basic Laws of Arithmetic, was intended to be his magnum opus, the book in which he would finally establish his logicist philosophy of arithmetic.

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

A new approach to reading Frege's notations that adheres to the modern view that terms and well-formed formulas are any disjoint syntactic categories.

Many significant problems in metaphysics are tied to ontological questions, but ontology and its relation to larger questions in metaphysics give rise to a series of puzzles that suggest that we don't fully understand what ontology is supposed to do, nor what ambitions metaphysics can have for finding out about what reality is like.

Offers a comprehensive and accessible exploration of the scope and importance of Gottlob Frege''s work.

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

This volume contains proceedings of the European Summer Meeting of the Association for Symbolic Logic, held in Vienna, Austria in August, 2001.

Originally published in 1941.

While the phrase "e;metaphysics of science"e; has been used from time to time, it has only recently begun to denote a specific research area where metaphysics meets philosophy of science-and the sciences themselves.

A History of Mathematics: From Mesopotamia to Modernity covers the evolution of mathematics through time and across the major Eastern and Western civilizations.

A Mathematical Tour introduces readers to a selection of mathematical topics chosen for their centrality, importance, historical significance, and intrinsic appeal and beauty.

First published in 1961, Inductive Probability is a dialectical analysis of probability as it occurs in inductions.

Today, most money is credit money, created by commercial banks.

During the Victorian era, industrial and economic growth led to a phenomenal rise in productivity and invention.

A foundational work on historical and social studies of quantificationWhat accounts for the prestige of quantitative methods?

The biological and social sciences often generalize causal conclusions from one context or location to others that may differ in some relevant respects, as is illustrated by inferences from animal models to humans or from a pilot study to a broader population.

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.

This book considers the manifold possible approaches, past and present, to our understanding of the natural numbers.

This edited work presents contemporary mathematical practice in the foundational mathematical theories, in particular set theory and the univalent foundations.

Originally published in 1985.

Presents a detailed and critical examination of the available conceptions of set and proposes a novel version.

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

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.