David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Cambridge University Press (1962)
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).
|Keywords||Mathematics Philosophy Logic, Symbolic and mathematical|
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Citations of this work BETA
Max Rosenkrantz (2009). The Tractatus Theory of Descriptions. Theoria 75 (4):252-271.
David Charles Mccarty (1991). The Philosophy of Logical Wholism. Synthese 87 (1):51 - 123.
Katalin Bimbó (2010). Schönfinkel-Type Operators for Classical Logic. Studia Logica 95 (3):355-378.
Claire Ortiz Hill (2010). On Fundamental Differences Between Dependent and Independent Meanings. Axiomathes 20 (2-3):313-332.
Keith Hossack (2013). Sets and Plural Comprehension. Journal of Philosophical Logic:1-23.
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