David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
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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|Call number||QA9.W52 1997|
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Shira Elqayam & Jonathan Evans (2011). Subtracting “Ought” From “Is”: Descriptivism Versus Normativism in the Study of Human Thinking. Behavioral and Brain Sciences 34 (05):251-252.
Jan Heylen (2016). Russell's Revenge: A Problem for Bivalent Fregean Theories of Descriptions. Pacific Philosophical Quarterly 97 (2).
Nicholas Mantegani (2014). Difference, Identity and Quantification. Dialectica 68 (2):183-207.
Keith Hossack (2014). Sets and Plural Comprehension. Journal of Philosophical Logic 43 (2-3):517-539.
Max Rosenkrantz (2016). The Problem of False Belief and the Failure of the Theory of Descriptions. Theoria 82 (1):56-80.
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