Synthese 93 (1-2):167 - 189 (1992)
|Abstract||Carnap's philosophy is examined from new viewpoints, including three important distinctions: (i) language as calculus vs language as universal medium; (ii) different senses of completeness: (iii) standard vs nonstandard interpretations of (higher-order) logic. (i) Carnap favored in 1930-34 the "formal mode of speech," a corollary to the universality assumption. He later gave it up partially but retained some of its ingredients, e.g., the one-domain assumption. (ii) Carnap's project of creating a universal self-referential language is encouraged by (ii) and by the author's recent work. (iii) Carnap was aware of (iii) and occasionally used the standard interpretation, but was not entirely clear of the nature of the contrast|
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
|Through your library||Configure|
Similar books and articles
Jaakko Hintikka (ed.) (1975). Rudolf Carnap, Logical Empiricist: Materials and Perspectives. D. Reidel Pub. Co..
Jaakko Hintikka (1996). The Principles of Mathematics Revisited. Cambridge University Press.
M. Giaquinto (2002). The Search for Certainty: A Philosophical Account of Foundations of Mathematics. Oxford University Press.
Stewart Shapiro (1991). Foundations Without Foundationalism: A Case for Second-Order Logic. Oxford University Press.
Albert C. Lewis (2004). The Unity of Logic, Pedagogy and Foundations in Grassmann's Mathematical Work. History and Philosophy of Logic 25 (1):15-36.
Frank Plumpton Ramsey (1960). The Foundations of Mathematics and Other Logical Essays. Paterson, N.J.,Littlefield, Adams.
G. T. Kneebone (1963/2001). Mathematical Logic and the Foundations of Mathematics: An Introductory Survey. Dover.
Edward N. Zalta (2007). Reflections on Mathematics. In V. F. Hendricks & Hannes Leitgeb (eds.), Philosophy of Mathematics: Five Questions. Automatic Press/VIP.
Thomas E. Uebel (2005). Learning Logical Tolerance: Hans Hahn on the Foundations of Mathematics. History and Philosophy of Logic 26 (3):175-209.
Added to index2009-01-28
Total downloads17 ( #78,052 of 722,917 )
Recent downloads (6 months)2 ( #36,756 of 722,917 )
How can I increase my downloads?