Philosophy of mathematics

An insightful reflection on the mathematical soulWhat do pure mathematicians do, and why do they do it?

The contributions gathered here demonstrate how categorical ontology can provide a basis for linking three important basic sciences: mathematics, physics, and philosophy.

An investigatation of the influence of psychology and early phenomenology on the origins of analytic philosophy.

This systematic and historical treatment of Russell's contributions to analytic philosophy, from his embrace of analysis in 1898 to his landmark theory of descriptions in 1905, draws important connections between his philosophically motivated conception of analysis and the technical apparatus he devised to facilitate analyses in mathematics

This volume contains ten papers that have been collected by the Canadian Society for History and Philosophy of Mathematics/Societe canadienne d'histoire et de philosophie des mathematiques.

First published in 1971, Professor Putnam's essay concerns itself with the ontological problem in the philosophy of logic and mathematics - that is, the issue of whether the abstract entities spoken of in logic and mathematics really exist.

Classical physics states that physical reality is local--a point in space cannot influence another point beyond a relatively short distance.

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Originally published in 1937.

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.

There are things we routinely say that may strike us as literally false but that we are nonetheless reluctant to give up.

Hilbert's Programs & Beyond presents the foundational work of David Hilbert in a sequence of thematically organized essays.

This book addresses the argument in the history of the philosophy of science between the positivists and the anti-positivists.

A stunning anniversary edition of Alice's adventures, illustrated by Salvador Dali Commemorating the 150th anniversary of one of the most beloved classics of children's literature, this illustrated edition presents Alice like you've never seen her before.

This monumental book traces the origins and development of mathematics in the ancient Middle East, from its earliest beginnings in the fourth millennium BCE to the end of indigenous intellectual culture in the second century BCE when cuneiform writing was gradually abandoned.

Introductory logic is generally taught as a straightforward technical discipline.

This Handbook explores the history of mathematics under a series of themes which raise new questions about what mathematics has been and what it has meant to practice it.

In Alan Lightman's new book, a verse narrative, we meet a man who has lost his faith in all things following a mysterious personal tragedy.

The interest earned on a bank account, the arrangement of seeds in a sunflower, and the shape of the Gateway Arch in St.

The book presents the state of the art of research into the legacy of interwar Polish analytic philosophy and exemplifies different approaches to the history of philosophy.

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.

Philosophical logic has been, and continues to be, a driving force behind much progress and development in philosophy more broadly.

How to Free Your Inner Mathematician: Notes on Mathematics and Life offers readers guidance in managing the fear, freedom, frustration, and joy that often accompany calls to think mathematically.

To what extent are the subjects of our thoughts and talk real?

Events between which we have no epistemic reason to discriminate have equal epistemic probabilities.

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.

First published in 1971, Professor Putnam's essay concerns itself with the ontological problem in the philosophy of logic and mathematics - that is, the issue of whether the abstract entities spoken of in logic and mathematics really exist.

Comparative analysis of the techniques and procedures of important mathematical commentaries in five ancient cultures from China to Greece.

This book focuses on the Frobenius theorem regarding a nonlinear simultaneous system.

Originally published in 1981.

How far should our realism extend?

Crispin Wright is widely recognised as one of the most important and influential analytic philosophers of the twentieth and twenty-first centuries.

Originally published in 1994, The Incommensurability Thesis is a critical study of the Incommensurability Thesis of Thomas Kuhn and Paul Feyerabend.

Wittgenstein's role was vital in establishing mathematics as one of this century's principal areas of philosophic inquiry.

The Limits of Thought is a series of penetrating dialogues between the great spiritual leader, J.

This volume presents interviews that have been conducted from the 1980s to the present with important scholars of social choice and welfare theory.

The Scholarship of Teaching and Learning: A Guide for Scientists, Engineers, and Mathematicians shows college and university faculty members how to draw on their disciplinary knowledge and teaching experience to investigate questions about student learning.

Originally published in 1967.

Originally published in 1966.

This collection addresses metaphysical issues at the intersection between philosophy and science.

This book addresses complex real-world problems with recent techniques.

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

Originally published in 1965.

These essays apply the core conceptual innovation underlying Frege''s theory of number to the general analysis of theoretical knowledge.

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

This book analyses the role of diagrammatic reasoning in Plato's philosophy: the readers will realize that Plato, describing the stages of human cognitive development using a diagram, poses a logic problem to stimulate the general reasoning abilities of his readers.

Originally published in 1931.

This book explores and articulates the concepts of the continuous and the infinitesimal from two points of view: the philosophical and the mathematical.

In recent decades it has become obvious that mathematics has always been a worldwide activity.