Philosophy of mathematics

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.

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

Our words and ideas refer to objects and properties in the external world; this phenomenon is central to thought, language, communication, and science.

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.

A look at one of the most exciting unsolved problems in mathematics todayElliptic Tales describes the latest developments in number theory by looking at one of the most exciting unsolved problems in contemporary mathematics-the Birch and Swinnerton-Dyer Conjecture.

The interplay between computability and randomness has been an active area of research in recent years, reflected by ample funding in the USA, numerous workshops, and publications on the subject.

Offers a systematic introduction and discussion of all the main solutions to the sorites paradox and its areas of influence.

Engaging and comprehensive history of Greek mathematics, with full attention to social contexts and its place in world history.

In this book, David Stump traces alternative conceptions of the a priori in the philosophy of science and defends a unique position in the current debates over conceptual change and the constitutive elements in science.

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

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.

Biologists, climate scientists, and economists all rely on models to move their work forward.

In the follow-up to his acclaimed Science in the Looking Glass, Brian Davies discusses deep problems about our place in the world, using a minimum of technical jargon.

Substance and the Fundamentality of the Familiar explicates and defends a novel neo-Aristotelian account of the structure of material objects.

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

Book VI of the Konika is essentially devoted to the question of the identity and similarity of two conic sections, or two parts of conic sections.

The year's finest writing on mathematics from around the worldThis annual anthology brings together the year's finest mathematics writing from around the world.

This volume brings together twelve previously unpublished essays on the theme of Wittgenstein on practice and on the insight that careful attention to human or animal activity is essential for thinking about philosophical problems.

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

Originally published in 1969.

This volume contains thirteen papers that were presented at the 2017 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics/Societe canadienne d'histoire et de philosophie des mathematiques, which was held at Ryerson University in Toronto.

Mathematical Meditations identifies, explores, and celebrates those aspects of mathematics that are good for you and your overall wellbeing.

This book demonstrates how a radical version of physicalism ('No-Self Physicalism') can offer an internally coherent and comprehensive philosophical worldview.

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.

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

This is the first of two volumes on belief and counterfactuals.

This is a unique book that teaches mathematics and its history simultaneously.

This book charts the shape of future philosophical investigation by posing the question: "e;What is the Matrix?

A lively and engaging look at logic puzzles and their role in mathematics, philosophy, and recreationLogic puzzles were first introduced to the public by Lewis Carroll in the late nineteenth century and have been popular ever since.

Techniques for deciphering texts by early mathematiciansWritings by early mathematicians feature language and notations that are quite different from what we're familiar with today.

This broad and insightful book presents current scholarship in important subfields of philosophy of science and addresses an interdisciplinary and multidisciplinary readership.

Robert W.

The logician Kurt Godel in 1951 established a disjunctive thesis about the scope and limits of mathematical knowledge: either the mathematical mind is not equivalent to a Turing machine (i.

This book presents techniques for determining uncertainties in numerical solutions with applications in the fields of business administration, civil engineering, and economics, using Excel as a computational tool.

Originally published in 1990.

This Element solves the problem of modal truthmaking for mathematical anti-realists by providing a novel view of modal truth.

Corfield sets out a variety of approaches to new thinking about the philosophy of mathematics.