David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Journal of the History of Philosophy 44 (2):267-292 (2006)
What is at stake philosophically for Russell in espousing logicism? I argue that Russell's aims are chiefly epistemological and mathematical in nature. Russell develops logicism in order to give an account of the nature of mathematics and of mathematical knowledge that is compatible with what he takes to be the uncontroversial status of this science as true, certain and exact. I argue for this view against the view of Peter Hylton, according to which Russell uses logicism to defend the unconditional truth of mathematics against various Idealist positions that treat mathematics as true only partially or only relative to a particular point of view.
|Keywords||Russell logicism Bradley Hylton idealism monism|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
Ian Proops (2007). Russell and the Universalist Conception of Logic. Noûs 41 (1):1–32.
Erich H. Reck (2013). Frege, Dedekind, and the Origins of Logicism. History and Philosophy of Logic 34 (3):242-265.
Similar books and articles
Francisco Rodríguez Consuegra (1987). Russell's Logicist Definitions of Numbers, 1898–1913: Chronology and Significance. History and Philosophy of Logic 8 (2):141-169.
Sébastien Gandon (2008). Which Arithmetization for Which Logicism? Russell on Relations and Quantities in The Principles of Mathematics. History and Philosophy of Logic 29 (1):1-30.
Otavio Bueno (2001). Logicism Revisited. Principia 5 (1-2):99-124.
Sébastien Gandon (2009). Toward a Topic-Specific Logicism? Russell's Theory of Geometry in the Principles of Mathematics. Philosophia Mathematica 17 (1):35-72.
Boudewijn de Bruin (2008). Wittgenstein on Circularity in the Frege-Russell Definition of Cardinal Number. Philosophia Mathematica 16 (3):354-373.
Gregory Landini (1998). Russell's Hidden Substitutional Theory. Oxford University Press.
I. Grattan-Guinness (1984). Notes on the Fate of Logicism Fromprincipia Mathematicato Gödel's Incompletability Theorem. History and Philosophy of Logic 5 (1):67-78.
Gianluigi Oliveri (2009). Stefano Donati. I Fondamenti Della Matematica Nel Logicismo di Bertrand Russell [the Foundations of Mathematics in the Logicism of Bertrand Russell]. Philosophia Mathematica 17 (1):109-113.
Added to index2009-01-28
Total downloads68 ( #26,705 of 1,679,344 )
Recent downloads (6 months)7 ( #33,920 of 1,679,344 )
How can I increase my downloads?