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The 1910 *Principia*'s Theory of Functions and Classes and the Theory of Descriptions

William Demopoulos

Puni tekst: engleski, pdf (535 KB) str. 159-178 preuzimanja: 229* citiraj
APA 6th Edition
Demopoulos, W. (2007). The 1910 *Principia*'s Theory of Functions and Classes and the Theory of Descriptions. European Journal of Analytic Philosophy, 3 (2), 159-178. Preuzeto s https://hrcak.srce.hr/93216
MLA 8th Edition
Demopoulos, William. "The 1910 *Principia*'s Theory of Functions and Classes and the Theory of Descriptions." European Journal of Analytic Philosophy, vol. 3, br. 2, 2007, str. 159-178. https://hrcak.srce.hr/93216. Citirano 27.07.2021.
Chicago 17th Edition
Demopoulos, William. "The 1910 *Principia*'s Theory of Functions and Classes and the Theory of Descriptions." European Journal of Analytic Philosophy 3, br. 2 (2007): 159-178. https://hrcak.srce.hr/93216
Harvard
Demopoulos, W. (2007). 'The 1910 *Principia*'s Theory of Functions and Classes and the Theory of Descriptions', European Journal of Analytic Philosophy, 3(2), str. 159-178. Preuzeto s: https://hrcak.srce.hr/93216 (Datum pristupa: 27.07.2021.)
Vancouver
Demopoulos W. The 1910 *Principia*'s Theory of Functions and Classes and the Theory of Descriptions. European Journal of Analytic Philosophy [Internet]. 2007 [pristupljeno 27.07.2021.];3(2):159-178. Dostupno na: https://hrcak.srce.hr/93216
IEEE
W. Demopoulos, "The 1910 *Principia*'s Theory of Functions and Classes and the Theory of Descriptions", European Journal of Analytic Philosophy, vol.3, br. 2, str. 159-178, 2007. [Online]. Dostupno na: https://hrcak.srce.hr/93216. [Citirano: 27.07.2021.]

Sažetak
It is generally acknowledged that the 1910 Principia does not deny the existence of classes, but claims only that the theory it advances can be
developed so that any apparent commitment to them is eliminable by the method of contextual analysis. The application of contextual analysis
to ontological questions is widely viewed as the central philosophical innovation of Russell’s theory of descriptions. Principia’s “no-classes theory of classes” is a striking example of such an application. The present paper develops a reconstruction of Principia’s theory of functions and classes that is based on Russell’s epistemological applications of the method of contextual analysis. Such a reconstruction is not eliminativist—indeed, it explicitly assumes the existence of classes—and possesses certain advantages over the no–classes theory advocated by Whitehead
and Russell.

Ključne riječi
Principia Mathematica; contextual definition; ramified type theory; axiom of reducibility; impredicative definition; propositional function

Hrčak ID: 93216

URI
https://hrcak.srce.hr/93216

Posjeta: 382 *