Was the Axiom of Reducibility a Principle of Logic?

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dc.contributor.authorLinsky, Bernard
dc.date.accessioned2025-05-01T12:26:09Z
dc.date.available2025-05-01T12:26:09Z
dc.date.issued1990
dc.descriptionTHE TITLE OF this paper is in the past tense to indicate that the question it will address is whether the Axiom of Reducibility is a principle of logic according to the view of logic that Russell had when writing the first edition of Principia Mathematica.' It is often said that Logicism was a failure because when it avoided the Scylla of contradiction in Frege's system it fell into the Charybdis ofrequiring'obviously non-logical principles at Russell's hands. The axiom reducibility is cited along with the Axiom ofInfinity as a non-logical principle which Russell had to add to his system in order to be able to develop mathematics. I want to consider this criticism of the axiom from several points of view. Why is it thought that the axiom of reducibility is not a principle of logic? What reasons does Russell actually give for doubting its logical status? Are they good reasons?
dc.identifier.doihttps://doi.org/10.7939/R3Q52FT3F
dc.language.isoen
dc.relationhttp://dx.doi.org/10.15173/russell.v10i2.1775
dc.relation.isversionofLinsky, B. (1990). Was the Axiom of Reducibility a Principle of Logic? Russell: The Journal of the Bertrand Russell Archives, 10(2), 125-140. http://dx.doi.org/10.15173/russell.v10i2.1775
dc.rights© 1990 Bernard Linsky et al. This version of this article is open access and can be downloaded and shared. The original author(s) and source must be cited.
dc.subjectRussell
dc.subjectLogic
dc.subjectAxiom of Reducibility
dc.subjectIntensional Logic
dc.titleWas the Axiom of Reducibility a Principle of Logic?
dc.typehttp://purl.org/coar/resource_type/c_6501 http://purl.org/coar/version/c_970fb48d4fbd8a85
ual.jupiterAccesshttp://terms.library.ualberta.ca/public

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