Developments in Logic: Carnap, Gödel, and Tarski
| Abstract | Analytic philosophy and modern logic are intimately connected, both historically and systematically. Thinkers such as Frege, Russell, and Wittgenstein were major contributors to the early development of both; and the fruitful use of modern logic in addressing philosophical problems was, and still is, definitive for large parts of the analytic tradition. More specifically, Frege's analysis of the concept of number, Russell's theory of descriptions, and Wittgenstein's notion of tautology have long been seen as paradigmatic pieces of philosophy in this tradition. This close connection remained beyond what is now often called "early analytic philosophy", i.e., the tradition's first phase. In the present chapter I will consider three thinkers who played equally important and formative roles in analytic philosophy's second phase, the period from the 1920s to the 1950s: Rudolf Carnap, Kurt Gödel, and Alfred Tarski. | |||||||||
| Keywords | No keywords specified (fix it) | |||||||||
| Categories | ||||||||||
| Options |
|
|||||||||
| PhilPapers Archive |
Upload a copy of this paper Check publisher's policy on self-archival Papers currently archived: 5,709 |
| External links |
|
| Through your library | Only published papers are available at libraries |
Kevin C. Klement, Gottlob Frege. Internet Encyclopedia of Philosophy.
Paolo Mancosu (2005). Harvard 1940-1941: Tarski, Carnap and Quine on a Finitistic Language of Mathematics for Science. History and Philosophy of Logic 26 (4):327-357.
John W. Dawson (1993). The Compactness of First-Order Logic:From Gödel to Lindström. History and Philosophy of Logic 14 (1):15-37.
Juliet Floyd (2001). Prose Versus Proof: Wittgenstein on Gödel, Tarski and Truth. Philosophia Mathematica 9 (3):280-307.
Gabriella Crocco (2006). Gödel on Concepts. History and Philosophy of Logic 27 (2):171-191.
Paul Redding (2007). Analytic Philosophy and the Return of Hegelian Thought. Cambridge University Press.
Martin Stokhof (2008). The Architecture of Meaning : Wittgenstein's Tractatus and Formal Semantics. In David K. Levy & Edoardo Zamuner (eds.), Wittgenstein's Enduring Arguments. Routledge.
Gabriella Crocco (2003). Gödel, Carnap and the Fregean Heritage. Synthese 137 (1-2):21 - 41.
Erich H. Reck (ed.) (2002). From Frege to Wittgenstein: Perspectives on Early Analytic Philosophy. Oxford University Press.
Kurt Gödel, Solomon Feferman, Charles Parsons & Stephen G. Simpson (eds.) (2010). Kurt Gödel: Essays for His Centennial. Association for Symbolic Logic.
Brian R. Gaines (forthcoming). Human Rationality Challenges Universal Logic. Logica Universalis.
Paolo Mancosu, Richard Zach & Calixto Badesa (2008). The Development of Mathematical Logic From Russell to Tarski, 1900-1935. In Leila Haaparanta (ed.), The Development of Modern Logic. Oxford University Press.
Daniele Mezzadri (2010). Language and Logic in Wittgenstein's Tractatus Logico-Philosophicus. Dissertation, University of Stirling
Monthly downloads |
Added to index2010-12-22Total downloads29 ( #42,467 of 549,754 )Recent downloads (6 months)4 ( #19,337 of 549,754 )How can I increase my downloads? |

