In James Maclaurin (ed.), Rationis Defensor (2012)
Buzaglo (as well as Manders (J Philos LXXXVI(10):553–562, 1989)) shows the way in which it is rational even for a realist to consider ‘development of concepts’, and documents the theory by numerous examples from the area of mathematics. A natural question arises: in which way can the phenomenon of expanding mathematical concepts influence empirical concepts? But at the same time a more general question can be formulated: in which way do the mathematical concepts influence empirical concepts? What I want to show in the present paper can be described as follows. The problem articulated by Buzaglo deserves some semantic refinements. Following explications are needed: What is meaning? (In particular: What are concepts?) What are questions? (Or, equivalently: Semantics of interrogative sentences.) Further, a useful notion will be the notion of problem. Taking over the notion of conceptual system from Materna (Conceptual Systems. Logos, Berlin, 2004) and using Tichý’s Transparent intensional logic (TIL) I can try to solve the problem of the relation between mathematical and empirical concepts (not only for the case of expanding some mathematical concepts).
|Keywords||Mathematical Concepts Empirical Concepts Buzaglo|
|Categories||categorize this paper)|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Indispensability, the Testing of Mathematical Theories, and Provisional Realism.Jörgen Sjögren - 2011 - Polish Journal of Philosophy 5 (2):99-116.
What is the Problem of Mathematical Knowledge?Michael Potter - 2007 - In Michael Potter, Mary Leng & Alexander Paseau (eds.), Mathematical Knowledge.
Mathematical Symbols as Epistemic Actions.De Cruz Helen & De Smedt Johan - 2013 - Synthese 190 (1):3-19.
Equivalence of Problems (An Attempt at an Explication of Problem).Pavel Materna - 2013 - Axiomathes 23 (4):617-631.
Is Mathematical Rigor Necessary in Physics?Kevin Davey - 2003 - British Journal for the Philosophy of Science 54 (3):439-463.
The Normativity of Evaluative Concepts.Christine Tappolet - 2014 - In Anne Reboul (ed.), Mind, Values, and Metaphysics. Philosophical Essays in Honor of Kevin Mulligan, Volume 2. pp. 39-54.
Added to index2012-06-11
Total downloads19 ( #254,171 of 2,153,861 )
Recent downloads (6 months)1 ( #398,005 of 2,153,861 )
How can I increase my downloads?