David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Synthese 27 (1-2):211 - 250 (1974)
In applied problems mathematics is used as language or as a metalanguage on which metatheories are built, E.G., Mathematical theory of experiment. The structure of pure mathematics is grammar of the language. As opposed to pure mathematics, In applied problems we must keep in mind what underlies the sign system. Optimality criteria-Axioms of applied mathematics-Prove mutually incompatible, They form a mosaic and not mathematical structures which, According to bourbaki, Make mathematics a unified science. One of the peculiarities of applied mathematical language is a variety of dialects: a problem can be presented in terms of various mathematical notions. Another peculiarity is polysemy: a problem can be presented in the framework of one dialect by a set of various models with equal right to exist. The pragmatic sense of distinction between applied and pure mathematics must lead to specific training in each case
|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
Ernest Gellner (1968/1960). Words and Things. [Harmondsworth, Eng.]Penguin Books.
Ernest Nagel (1958). Gödel's Proof. [New York]New York University Press.
Citations of this work BETA
No citations found.
Similar books and articles
Ulrich Meyer (2004). How to Apply Mathematics. Erkenntnis 61 (1):17-28.
Robert A. Holland (1992). Apriority and Applied Mathematics. Synthese 92 (3):349 - 370.
Edward N. Zalta (2007). Reflections on Mathematics. In V. F. Hendricks & Hannes Leitgeb (eds.), Philosophy of Mathematics: Five Questions. Automatic Press/VIP.
Rudolf Carnap (1983). The Logicist Foundations of Mathematics. In Paul Benacerraf & Hilary Putnam (eds.), Philosophy of Mathematics: Selected Readings. Cambridge University Press. 41--52.
Solomon Feferman, The Development of Programs for the Foundations of Mathematics in the First Third of the 20th Century.
Christopher Pincock (2009). Towards a Philosophy of Applied Mathematics. In Otávio Bueno & Øystein Linnebo (eds.), New Waves in Philosophy of Mathematics. Palgrave Macmillan.
James Robert Brown (1997). What is Applied Mathematics? Foundations of Science 2 (1):21-37.
Frank Plumpton Ramsey (1960). The Foundations of Mathematics and Other Logical Essays. Paterson, N.J.,Littlefield, Adams.
Added to index2009-01-28
Total downloads5 ( #229,963 of 1,102,929 )
Recent downloads (6 months)4 ( #84,785 of 1,102,929 )
How can I increase my downloads?