Principia mathematica to *56 [electronic resource] / by Alfred North Whitehead and Bertrand Russell.
By: Whitehead, Alfred North
Contributor(s): Russell, Bertrand
| Whitehead, Alfred North. Principia mathematica
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B 1674 .W353 M38 G44 1958 An Introduction to Mathematics | B 1674 .W353 M63 1956 Modes of Thought | B 1674 .W353 M69 1968 Modes of Thought.. | B 1674 .W353 P75 1973 Principia mathematica to *56 | B 1674 .W353 P78 1956 Whitehead's Philosophical Development : A Critical History of the Background of Process and Reality | B 1674 .W353 P96 1957 Process and Reality : An Essay in Cosmology | B 1674 .W353 P96 1960 Process and Reality : An Essay in Cosmology |
Originally published: Cambridge : University Press, 1962.
Abridged text of v. 1 of Principia mathematica.
pt. 1. Mathematical logic -- pt. 2. Prolegomena to cardinal arithmetic.
The great three-volume Principia Mathematica 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 premisses and primitive ideas, and so to prove 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 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 1 (in which the logical properties of propositions, propositional functions, classes and relations are established); section 6 of Part 2 (dealing with unit classes and couples); and Appendices A and B (which give further developments of the argument on the theory of deduction and truth functions).
English
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