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Appears in Collections:Law and Philosophy Journal Articles
Peer Review Status: Refereed
Title: Russell's Completeness Proof
Author(s): Milne, Peter
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Keywords: Bertrand Russell
Principia Mathematica
propositional logic
Russell, Bertrand, 1872-1970.
Mathematics Philosophy
Issue Date: Feb-2008
Date Deposited: 2-Dec-2009
Citation: Milne P (2008) Russell's Completeness Proof. History and Philosophy of Logic, 29 (1), pp. 31-62.
Abstract: Bertrand Russell’s 1906 article ‘The Theory of Implication’ contains an algebraic weak completeness proof for classical propositional logic. Russell did not present it as such. We give an exposition of the proof and investigate Russell’s view of what he was about, whether he could have appreciated the proof for what it is, and why there is no parallel of the proof in Principia Mathematica.
DOI Link: 10.1080/01445340701414295
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