What is Carnap's conventionalism after all?

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)
Reprint years 2004
DOI 10.1023/A:1026299405453
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 38,928
Through your library

References found in this work BETA

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Carnap, Formalism, and Informal Rigour.Gregory Lavers - 2008 - Philosophia Mathematica 16 (1):4-24.
How Not to Russell Carnap's Aufbau.Alan Richardson - 1990 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1990:3-14.
Carnap's Metrical Conventionalism Versus Differential Topology.Thomas Mormann - 2004 - Proc. 2004 Biennial Meeting of the PSA, vol. I, Contributed Papers 72 (5):814 - 825.


Added to PP index

Total views
123 ( #54,906 of 2,319,330 )

Recent downloads (6 months)
2 ( #578,830 of 2,319,330 )

How can I increase my downloads?

Monthly downloads

My notes

Sign in to use this feature