More Precisely: The Math You Need to Do Philosophy

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Broadview Press, Jan 29, 2009 - Philosophy - 208 pages
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More Precisely provides a rigorous and engaging introduction to the mathematics necessary to do philosophy. It is impossible to fully understand much of the most important work in contemporary philosophy without a basic grasp of set theory, functions, probability, modality and infinity. Until now, this knowledge was difficult to acquire. Professors had to provide custom handouts to their classes, while students struggled through math texts searching for insight. More Precisely fills this key gap.

Eric Steinhart provides lucid explanations of the basic mathematical concepts and sets out most commonly used notational conventions. Furthermore, he demonstrates how mathematics applies to many fundamental issues in branches of philosophy such as metaphysics, philosophy of language, epistemology, and ethics.

 

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Contents

1 SETS
1
2 RELATIONS
25
3 MACHINES
65
4 SEMANTICS
86
5 PROBABILITY
109
6 UTILITARIANISM
132
7 FROM THE FINITE TO THE INFINITE
147
8 BIGGER INFINITIES
163
Further Study
182
Glossary of Symbols
184
References
187
Index
192
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About the author (2009)

Eric Steinhart is an Associate Professor of Philosophy at William Paterson University. He is the author of On Nietzsche (Wadsworth 1999) and The Logic of Metaphor: Analogous Parts of Possible Worlds (Kluwer Academic 2001).

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