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.

Our understanding of how the human brain performs mathematical calculations is far from complete, but in recent years there have been many exciting breakthroughs by scientists all over the world.

To open a newspaper or turn on the television it would appear that science and religion are polar opposites - mutually exclusive bedfellows competing for hearts and minds.

The nature of reality has been a long-debated issue among scientists and philosophers.

This book highlights the many ideas and algorithms that Peter L.

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.

This book consists of eleven new essays that provide new insights into classical and contemporary issues surrounding free will and human agency.

This book deals with the evolution of mathematical thought during the 20th century.

The term "e;fuzzy logic,"e; as it is understood in this book, stands for all aspects of representing and manipulating knowledge based on the rejection of the most fundamental principle of classical logic---the principle of bivalence.

Originally published in 1949.

This book is the product of a collaboration stretching the years 2007-10, whose initial fruit was a paper on "e;Plenum Theory"e; published in Nous.

This volume is a collection of essays in honour of Professor Mohammad Ardeshir.

Metaphysics is sensitive to the conceptual tools we choose to articulate metaphysical problems.

First published in 1974.

The Boundary Stones of Thought seeks to defend classical logic from a number of attacks of a broadly anti-realist character.

This monograph examines the private annotations that Ludwig Wittgenstein made to his copy of G.

Proceedings of the Association for Symbolic Logic meeting held in Helsinki, Finland, in 1990, containing eighteen papers by leading researchers.

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.

How is that when scientists need some piece of mathematics through which to frame their theory, it is there to hand?

This book consists of eleven new essays that provide new insights into classical and contemporary issues surrounding free will and human agency.

The Definitive Introduction ToThe Relationship BetweenReligion And Science In The Beginning: Why Did the Big Bang Occur?

Maurice Potron (1872-1942), a French Jesuit mathematician, constructed and analyzed a highly original, but virtually unknown economic model.

This volume offers a broad, philosophical discussion on mechanical explanations.

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.

Hacking explores how mathematics became possible for the human race, and how it ensured our status as the dominant species.

This book explains exactly what human knowledge is.

Mathematical Puzzle Tales from Mount Olympus uses fascinating tales from Greek Mythology as the background for introducing mathematics puzzles to the general public.

This textbook is a second edition of the successful, Mathematical Logic: On Numbers, Sets, Structures, and Symmetry.

Alex Oliver and Timothy Smiley provide a natural point of entry to what for most readers will be a new subject.

This book explores the birth of the scientific understanding of motion in early Greek thought up to Aristotle.

This book is a philosophical study of mathematics, pursued by considering and relating two aspects of mathematical thinking and practice, especially in modern mathematics, which, having emerged around 1800, consolidated around 1900 and extends to our own time, while also tracing both aspects to earlier periods, beginning with the ancient Greek mathematics.

Die "Paradoxien des Unendlichen" sind ein Klassiker der Philosophie der Mathematik und zugleich eine gute Einführung in das Denken des "Urgroßvaters" der analytischen Philosophie.

The author revisits logicism in light of recent advances in mathematical logic and theoretical computer science.

People tend to rank values of all kinds linearly from good to bad, but there is little reason to think that this is reasonable or correct.

This volume contains six new and fifteen previously published essays -- plus a new introduction -- by Storrs McCall.

The history of mathematics is filled with major breakthroughs resulting from solutions to recreational problems.

The philosophy of mathematics is an exciting subject.

An entertaining look at the origins of mathematical symbolsWhile all of us regularly use basic math symbols such as those for plus, minus, and equals, few of us know that many of these symbols weren't available before the sixteenth century.

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

This text examines the boundary between logic and philosophy in Kant and Hegel.

This monograph offers a fresh perspective on the applicability of mathematics in science.

Entre los siglos XV y XVIII Europa fue escenario de una serie de novedades, cambios o transformaciones en los saberes acerca de la naturaleza, en los procedimientos y métodos empleados para describirla y explicar sus procesos, y en la manera de organizar las actividades o prácticas relacionadas con estos saberes.

This reissue of D.

Originally published in 1969.

If mathematics is the purest form of knowledge, the perfect foundation of all the hard sciences, and a uniquely precise discipline, then how can the human brain, an imperfect and imprecise organ, process mathematical ideas?