Philosophy of mathematics

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

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?

This book provides the first English translation of the Greek text of the Spherics of Theodosios (2nd-1st century BCE), a canonical mathematical and astronomical text used from as early as the 2nd century CE until the early modern period.

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.

The Language of Symmetry is a re-assessment of the structure and reach of symmetry, by an interdisciplinary group of specialists from the arts, humanities, and sciences at Oxford University.

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.

Lateral Solutions to Mathematical Problems offers a fresh approach to mathematical problem solving via lateral thinking.

This book traces the first faltering steps taken in the mathematical theorisation of infinity which marks the emergence of modern mathematics.

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.

Originally published in 1985.

The Untold Story of Everything Digital: Bright Boys, Revisited celebrates the 70th anniversary (1949-2019) of the world "e;going digital"e; for the very first time-real-time digital computing's genesis story.

Over the last ten years, elements of the formalism of quantum mechanics have been successfully applied beyond physics in areas such as psychology (especially cognition), economics and finance (especially in the formalization of so-called 'decision making'), political science, and molecular biology.

Originally published in 1941.

This book focuses on the game-theoretical semantics and epistemic logic of Jaakko Hintikka.

Throughout his career, Keith Hossack has made outstanding contributions to the theory of knowledge, metaphysics and the philosophy of mathematics.

I first had a quick look, then I started reading it.

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.

Are there objects that are "e;thin"e; in the sense that not very much is required for their existence?

This book offers an up-to-date overview of the research on philosophy of mathematics education, one of the most important and relevant areas of theory.

Das provokative Buch eines der renommiertesten deutschen Psychologen ermutigt zur Skepsis gegenüber vermeintlich absoluten Wahrheiten.