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Author: Eric Steinhart
Publisher: Broadview Press
ISBN: 1770486674
Category : Philosophy
Languages : en
Pages : 250
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Book Description
More Precisely is a rigorous and engaging introduction to the mathematics necessary to do philosophy. Eric Steinhart provides lucid explanations of many basic mathematical concepts and sets out the most commonly used notational conventions. He also demonstrates how mathematics applies to fundamental issues in various branches of philosophy, including metaphysics, philosophy of language, epistemology, and ethics. This second edition adds a substantial section on decision and game theory, as well as a chapter on information theory and the efficient coding of information.
Author: Eric Steinhart
Publisher: Broadview Press
ISBN: 1770486674
Category : Philosophy
Languages : en
Pages : 250
Get Book
Book Description
More Precisely is a rigorous and engaging introduction to the mathematics necessary to do philosophy. Eric Steinhart provides lucid explanations of many basic mathematical concepts and sets out the most commonly used notational conventions. He also demonstrates how mathematics applies to fundamental issues in various branches of philosophy, including metaphysics, philosophy of language, epistemology, and ethics. This second edition adds a substantial section on decision and game theory, as well as a chapter on information theory and the efficient coding of information.
Author: Eric Steinhart
Publisher: Broadview Press
ISBN: 155481345X
Category : Philosophy
Languages : en
Pages : 250
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Book Description
More Precisely is a rigorous and engaging introduction to the mathematics necessary to do philosophy. Eric Steinhart provides lucid explanations of many basic mathematical concepts and sets out the most commonly used notational conventions. He also demonstrates how mathematics applies to fundamental issues in various branches of philosophy, including metaphysics, philosophy of language, epistemology, and ethics. This second edition adds a substantial section on decision and game theory, as well as a chapter on information theory and the efficient coding of information.
Author: Justin Sytsma
Publisher: Broadview Press
ISBN: 146040288X
Category : Philosophy
Languages : en
Pages : 505
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Book Description
In recent years, developments in experimental philosophy have led many thinkers to reconsider their central assumptions and methods. It is not enough to speculate and introspect from the armchair—philosophers must subject their claims to scientific scrutiny, looking at evidence and in some cases conducting new empirical research. The Theory and Practice of Experimental Philosophy is an introduction and guide to the systematic collection and analysis of empirical data in academic philosophy. This book serves two purposes: first, it examines the theory behind “x-phi,” including its underlying motivations and the objections that have been leveled against it. Second, the book offers a practical guide for those interested in doing experimental philosophy, detailing how to design, implement, and analyze empirical studies. Thus, the book explains the reasoning behind x-phi and provides tools to help readers become experimental philosophers.
Author: Bertrand Russell
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 224
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Book Description
Author: Paul Benacerraf
Publisher: Cambridge University Press
ISBN: 1107268133
Category : Science
Languages : en
Pages : 604
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Book Description
The twentieth century has witnessed an unprecedented 'crisis in the foundations of mathematics', featuring a world-famous paradox (Russell's Paradox), a challenge to 'classical' mathematics from a world-famous mathematician (the 'mathematical intuitionism' of Brouwer), a new foundational school (Hilbert's Formalism), and the profound incompleteness results of Kurt Gödel. In the same period, the cross-fertilization of mathematics and philosophy resulted in a new sort of 'mathematical philosophy', associated most notably (but in different ways) with Bertrand Russell, W. V. Quine, and Gödel himself, and which remains at the focus of Anglo-Saxon philosophical discussion. The present collection brings together in a convenient form the seminal articles in the philosophy of mathematics by these and other major thinkers. It is a substantially revised version of the edition first published in 1964 and includes a revised bibliography. The volume will be welcomed as a major work of reference at this level in the field.
Author: Reuben Hersh
Publisher: Oxford University Press
ISBN: 0198027362
Category : Mathematics
Languages : en
Pages : 368
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Book Description
Most philosophers of mathematics treat it as isolated, timeless, ahistorical, inhuman. Reuben Hersh argues the contrary, that mathematics must be understood as a human activity, a social phenomenon, part of human culture, historically evolved, and intelligible only in a social context. Hersh pulls the screen back to reveal mathematics as seen by professionals, debunking many mathematical myths, and demonstrating how the "humanist" idea of the nature of mathematics more closely resembles how mathematicians actually work. At the heart of his book is a fascinating historical account of the mainstream of philosophy--ranging from Pythagoras, Descartes, and Spinoza, to Bertrand Russell, David Hilbert, and Rudolph Carnap--followed by the mavericks who saw mathematics as a human artifact, including Aristotle, Locke, Hume, Mill, and Lakatos. What is Mathematics, Really? reflects an insider's view of mathematical life, and will be hotly debated by anyone with an interest in mathematics or the philosophy of science.
Author: Christopher Daly
Publisher: Broadview Press
ISBN: 155111934X
Category : Philosophy
Languages : en
Pages : 259
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Book Description
An Introduction to Philosophical Methods is the first book to survey the various methods that philosophers use to support their views. Rigorous yet accessible, the book introduces and illustrates the methodological considerations that are involved in current philosophical debates. Where there is controversy, the book presents the case for each side, but highlights where the key difficulties with them lie. While eminently student-friendly, the book makes an important contribution to the debate regarding the acceptability of the various philosophical methods, and so it will also be of interest to more experienced philosophers.
Author: Aladdin M. Yaqub
Publisher: Broadview Press
ISBN: 1554811716
Category : Philosophy
Languages : en
Pages : 346
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Book Description
An Introduction to Metalogic is a uniquely accessible introduction to the metatheory of first-order predicate logic. No background knowledge of logic is presupposed, as the book is entirely self-contained and clearly defines all of the technical terms it employs. Yaqub begins with an introduction to predicate logic and ends with detailed outlines of the proofs of the incompleteness, undecidability, and indefinability theorems, covering many related topics in between.
Author: Elaine M. Landry
Publisher: Oxford University Press
ISBN: 019874899X
Category : Mathematics
Languages : en
Pages : 486
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Book Description
This is the first book on category theory for a broad philosophical readership. There is no other discussion of category theory comparable in its scope. It is designed to show the interest and significant of category theory for philosophers working in a range of areas, including mathematics, proof theory, computer science, ontology, physics, biology, cognition, mathematical modelling, the structure of scientific theories, and the structure of the world. Moreover, it does this in a way that is accessible to non specialists. Each chapter is written by either a category-theorist or a philosopher working in one of the represented fields, in a way that builds on the concepts already familiar to philosophers working in these areas. The book is split into two halves. The 'pure' chapters focus on the use of category theory for mathematical, foundational, and logical purposes, while the 'applied' chapters consider the use of category theory for representational purposes, investigating category theory as a framework for theories of physics and biology, for mathematical modelling more generally, and for the structure of scientific theories. Book jacket.
Author: Alfred North Whitehead
Publisher:
ISBN:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 696
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Book Description
