Thinking About Mathematics
The Philosophy of Mathematics
By (author) Stewart Shapiro
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Thinking About Mathematics by Stewart Shapiro
Book DescriptionThis unique text by Stewart Shapiro looks at a range of philosophical issues and positions concerning mathematics in four comprehensive sections. The first describes questions and issues about mathematics that have motivated philosophers almost since the beginning of intellectual history. Part II is an historical survey, discussing the role of mathematics in such thinkers as Plato, Aristotle, Kant, and Mill. The third section covers the three major positions, and battle lines, throughout the twentieth century: that mathematics is logic (logicism), that the essence of mathematics is the rule-governed manipulation of characters (formalism), and a revisionist philosophy that focuses on the mental activity of mathematics (intuitionism). Finally, Part IV looks at contemporary positions and work which brings the reader up-to-date on the discipline. Thinking about Mathematics is accessible to those with little background in either mathematics or philosophy. It is aimed at students and professionals in mathematics who have little contact with academic philosophy and at philosophy students and other philosophers who forgot much of their mathematics.
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Book DetailsISBN: 9780192893062
(214mm x 137mm x 19mm)
Imprint: Oxford University Press
Publisher: Oxford University Press
Publish Date: 13-Jul-2000
Country of Publication: United Kingdom
Books By Author Stewart Shapiro
Varieties of Logic, Hardback (September 2014)
Logical pluralism is the view that different logics are equally appropriate, or equally correct. Logical relativism is a pluralism according to which validity and logical consequence are relative to something. Stewart Shapiro explores various such views. He argues that the question of meaning shift is itself context-sensitive and interest-relative.
Vagueness in Context, Paperback (March 2008)
Stewart Shapiro develops an account of the meaning, function, and logic of vague terms in an idealized version of a natural language. The key feature is that extensions of vague terms vary in the course of conversations and, in some cases, a speaker can go either way without sinning against the meaning of the words or the non-linguistic facts.
Oxford Handbook of Philosophy of Mathematics and Logic, Paperback (June 2007)
Philosophy of mathematics and logic remain central disciplines in contemporary philosophy. This volume covers these disciplines, giving the reader an overview of the major problems, positions, and battle lines. It is aimed at those wishing to learn about the philosophy of mathematics and the philosophy of logic.
Philosophy of Mathematics, Paperback (June 2000)» View all books by Stewart Shapiro
A structuralist approach to mathematical theory in which Shapiro argues that both realist and anti-realist accounts of mathematics are problematic . He claims that mathematical theory is not a fixed domain of numbers that exist independent of one another, but a natural structure with an initial object and successor relation.
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Author Biography - Stewart Shapiro
Professor of Philosophy, Department of Philosophy, Ohio State University at Newark and Professorial Fellow, Department of Logic and Metaphysics at the University of St Andrews, Scotland.
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