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Original Essays | November 9, 2009

Jesse Bullington: IMG Abash'd the Devil Stood

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I don't believe in evil. It's a word I use, certainly, because words are shortcuts and we all take the short way round from time to time, but that's... Continue »
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Principia Mathematica to *56 (Cambridge Mathematical Library)

by Alfred North Whitehead

Principia Mathematica to *56 (Cambridge Mathematical Library) Cover

Synopses & Reviews

Publisher Comments:

The great three-volume Principia Mathematica (CUP 1927) is deservedly the most famous work ever written on the foundations of mathematics. Its aim is to deduce all the fundamental propositions of logic and mathematics from a small number of logical premises and primitive ideas, establishing that mathematics is a development of logic. This abridged text of Volume I contains the material that is most relevant to an introductory study of logic and the philosophy of mathematics (more advanced students will of course wish to refer to the complete edition). It contains the whole of the preliminary sections (which present the authors' justification of the philosophical standpoint adopted at the outset of their work); the whole of Part I (in which the logical properties of propositions, propositional functions, classes and relations are established); section A of Part II (dealing with unit classes and couples); and Appendices A and C (which give further developments of the argument on the theory of deduction and truth functions).

Synopsis:

This abridged text of the great three-volume Principia Mathematica, deservedly the most famous work ever written on the foundations of mathematics, contains the material that is most relevant to an introductory study of logic and the philosophy of mathematics.

Synopsis:

An abridged text of Principia Mathematica, suitable for an introductory study of logic.
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Table of Contents

Part I. Mathematical Logic: 1. The theory of deduction; 2. Theory of apparent variables; 3. Classes and relations; 4. Logic or relations; 5. Products and sums of classes; Part II. Prolegomena to Cardinal Arithmetic: 6. Unit classes and couples; Appendix A. Type theory of dependant variables and propositions containing apparent variables; Appendix B. Truth functions and others.

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Product Details

ISBN:
9780521626064
Author:
Whitehead, Alfred North
Author:
Russell, Bertrand Arthur
Author:
Russell, Bertrand
Author:
Russell, B.
Author:
Whitehead, A. N.
Publisher:
Cambridge University Press
Location:
Cambridge Cambridgeshire ;
Subject:
Philosophy
Subject:
Mathematics
Subject:
Logic
Subject:
Logic, symbolic and mathematical
Subject:
Combinatorics
Subject:
Mathematics -- Philosophy.
Subject:
General Mathematics
Subject:
Mathematics--Philosophy Mathematics--Philosop
Edition Number:
2
Edition Description:
PBK
Abridged:
Y
Series:
Cambridge Mathematical Library
Publication Date:
September 1997
Binding:
Paperback
Grade Level:
Professional and scholarly
Language:
English
Illustrations:
Yes
Pages:
460
Dimensions:
9.12x5.92x1.14 in. 1.49 lbs.
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