David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jonathan Jenkins Ichikawa
Jack Alan Reynolds
Learn more about PhilPapers
Synthese 137 (1-2):261 - 272 (2003)
As is well known, Carnap's conventionalism was a rejection to Kant's view ofmathematics and was fully developed in his Logische Syntax der Sprache.The purpose of this article is to step back to Der Logische Aufbau der Weltto show that the Logical Syntax of Language is an attempt to solve difficultiesfound in the earlier construction. I first clarify the notion of conventionalism, whichplays a central role in the application of mathematics to the reconstruction of empiricalknowledge. By not strictly distinguishing between the intuitive notion and thetopological concept of dimension, Carnap is led to a construction which is highlyquestionable. To illustrate the constructive method developed in the Aufbauand some of its inherent difficulties, I consider the computational aspects of theconstruction of phenomenological space via the mathematical concept of dimension.Contrary to Carnap's conventionalism, a dual nature of mathematical statements isbrought into existence by his logical reconstruction. So, if Carnap wants to retainhis mathematics as devoid of content, he must make a clear-cut distinction betweenanalytic and synthetic statements. Thus the natural follow-up to the Aufbau isthe Logical Syntax of Language.
|Keywords||Philosophy Philosophy Epistemology Logic Metaphysics Philosophy of Language|
|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
No citations found.
Similar books and articles
S. Awodey & A. W. Carus (2007). Carnap’s Dream: Gödel, Wittgenstein, and Logical, Syntax. Synthese 159 (1):23-45.
S. Awodey & A. W. Carus (2007). Carnap's Dream: Gödel, Wittgenstein, and Logical, Syntax. Synthese 159 (1):23-45.
Alan Richardson (1990). How Not to Russell Carnap's Aufbau. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1990:3-14.
Pierre Wagner (2009). The Analysis of Philosophy in Logical Syntax : Carnap's Critique and His Attempt at a Reconstruction. In Carnap's Logical Syntax of Language. Palgrave Macmillan 184--202.
Gregory Lavers (2008). Carnap, Formalism, and Informal Rigour. Philosophia Mathematica 16 (1):4-24.
Alexei Angelides (2012). Carnap's 1934 Objections to Wittgenstein's Say/Show Distinction. Erkenntnis 76 (2):147-169.
Hannes Leitgeb (2011). New Life for Carnap's "Aufbau?". Synthese 180 (2):265 - 299.
Yemima Ben-menahem (2005). Black, White and Gray: Quine on Convention. Synthese 146 (3):245 - 282.
Thomas Mormann (2005). Carnap's Metrical Conventionalism Versus Differential Topology. Proc. 2004 Biennial Meeting of the PSA, vol. I, Contributed Papers 72 (5):814 - 825.
Added to index2009-01-28
Total downloads118 ( #36,713 of 1,940,950 )
Recent downloads (6 months)24 ( #22,335 of 1,940,950 )
How can I increase my downloads?