Russell's completeness proof

History and Philosophy of Logic 29 (1):31-62 (2008)
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
Keywords Bertrand Russell   Principia Mathematica   completeness   propositional logic   Journal Article   Russell, Bertrand, 1872-1970.   Reasoning   Mathematics Philosophy
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