Chapter

Elementary Logic

David Bostock

in Russell's Logical Atomism

Published in print April 2012 | ISBN: 9780199651443
Published online September 2012 | e-ISBN: 9780191741197 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199651443.003.0001
Elementary Logic

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Frege, Peano, and Russell all shared what we now call elementary logic. Nowadays we think of this as given mainly by its criterion for validity, i.e. truth in all interpretations. But they were more concerned with elaborating its rules of proof. For illustration, the chapter gives an axiomatic set of rules, such as Frege and Russell used, though it does not reproduce their own versions. They did not think of the formulae of logic as schemata, open to many different interpretations.

Keywords: Russell; Frege; Peano; elementary logic; validity; axiomatic presentation; schemata in logic

Chapter.  5493 words. 

Subjects: History of Western Philosophy

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