Did Principia Mathematica Precipitate a "Fregean Revolution"?

Russell: The Journal of Bertrand Russell Studies 31 (1):131-150 (2011)
  Copy   BIBTEX

Abstract

I begin by asking whether there was a Fregean revolution in logic, and, if so, in what did it consist. I then ask whether, and if so, to what extent, Russell played a decisive role in carrying through the Fregean revolution, and, if so, how. A subsidiary question is whether it was primarily the influence of _The Principles of Mathematics_ or _Principia Mathematica_, or perhaps both, that stimulated and helped consummate the Fregean revolution. Finally, I examine cases in which logicians sought, in the years immediately following publication of the _Principles_ and _Principia_, to integrate traditional logic into the Fregean paradigm, focusing on the case of Henry Bradford Smith. My proposed conclusion is that there were different means adopted for rewriting the syllogism, in terms of the logic of relations, in terms of the propositional calculus, or as formulas of the monadic predicate calculus. This suggests that the changes implemented as a result of the adoption of the Russello-Fregean conception of logic could more accurately be called by Grattan-Guinness’s term _convolution_, rather than _revolution_.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 93,296

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

From Formal Theory of Knowledge to Non-Fregean Logic.Mieczysław Omyła - 2018 - In Urszula Wybraniec-Skardowska & Ángel Garrido (eds.), The Lvov-Warsaw School. Past and Present. Cham, Switzerland: Springer- Birkhauser,. pp. 753-762.
The Fregean revolution in logic.Donald Gillies - 1992 - In Revolutions in mathematics. New York: Oxford University Press. pp. 265--305.
Rasiowa-Sikorski proof system for the non-Fregean sentential logic SCI.Joanna Golinska-Pilarek - 2007 - Journal of Applied Non-Classical Logics 17 (4):509–517.
Frege-Russell numbers: Analysis or explication?Erich Reck - 2007 - In Micahel Beaney (ed.), The Analytic Turn. Routledge. pp. 33-50.
The proper treatment of variables in predicate logic.Kai F. Wehmeier - 2018 - Linguistics and Philosophy 41 (2):209-249.
Non-Fregean Logics of Analytic Equivalence (I).Andrzej Biłat - 2015 - Bulletin of the Section of Logic 44 (1/2):53-68.
Russell's completeness proof.Peter Milne - 2008 - History and Philosophy of Logic 29 (1):31-62.
Adequate models for the non-Fregean sentential calculus (SCI).Roman Suszko - 1973 - In Radu J. Bogdan & Ilkka Niiniluoto (eds.), Logic, language, and probability. Dordrecht: D. Reidel Pub. Co.. pp. 49--54.
Words in contexts: Fregean elucidations.Hans Rott - 2000 - Linguistics and Philosophy 23 (6):621-643.

Analytics

Added to PP
2015-02-07

Downloads
25 (#654,840)

6 months
11 (#272,000)

Historical graph of downloads
How can I increase my downloads?

References found in this work

[Letter from Gilbert Ryle].Gilbert Ryle - 1932 - Philosophy 7 (26):250 -.
The Fregean revolution in logic.Donald Gillies - 1992 - In Revolutions in mathematics. New York: Oxford University Press. pp. 265--305.
Historical Development of Modern Logic.Jean van Heijenoort - 2012 - Logica Universalis 6 (3-4):327-337.
Nine letters from Giuseppe peano to Bertrand Russell.H. C. Kennedy - 1975 - Journal of the History of Philosophy 13 (2):205-220.

View all 9 references / Add more references