Did Principia Mathematica Precipitate a "Fregean Revolution"?

Russell: The Journal of Bertrand Russell Studies 31 (1):131-150 (2011)
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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_.



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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.

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