Lost on the way from Frege to Carnap: How the philosophy of science forgot the applicability problem
David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Grazer Philosophische Studien 73 (1):69-82 (2006)
This paper offers an explanation of how philosophy of science in the second half of the 20th century came to be so conspicuously silent on the problem of how to explain the applicability of mathematics. It examines the idea of the early logicists that the analyticity of mathematics accounts for its applicability, and how this idea was transformed during Carnap's efforts to establish a consistent and substantial philosophy of mathematics within the larger framework of Logical Empiricism. I argue that at the end point of this development, philosophical discussion of the applicability problem was terminated although important aspects of the logicists' original response to the applicability problem had had to be sacrificed along the way.
|Keywords||No keywords specified (fix it)|
|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
Mark Steiner (1998). The Applicability of Mathematics as a Philosophical Problem. Harvard University Press.
E. P. & J. J. (1997). Applicability and Effectiveness of Legal Norms. Law and Philosophy 16 (2):201-219.
Otávio Bueno (2002). On Representing the Relationship Between the Mathematical and the Empirical. Philosophy of Science 69 (3):497-518.
Sandy Berkovski (2011). Reichenbach and Weyl on Apriority and Mathematical Applicability. Synthese 181 (1):63-77.
Peter Simons (2001). Review of M. Steiner, _The Applicability of Mathematics as a Philosophical Problem. [REVIEW] British Journal for the Philosophy of Science 52 (1):181-184.
L. Luce (1991). Literalism and the Applicability of Arithmetic. British Journal for the Philosophy of Science 42 (4):469-489.
Mark Steiner (1995). The Applicabilities of Mathematics. Philosophia Mathematica 3 (2):129-156.
Feng Ye (2010). The Applicability of Mathematics as a Scientific and a Logical Problem. Philosophia Mathematica 18 (2):144-165.
Added to index2009-01-28
Total downloads23 ( #88,750 of 1,692,534 )
Recent downloads (6 months)2 ( #108,508 of 1,692,534 )
How can I increase my downloads?