Journal of Philosophical Research 23:81-94 (1998)
Idealization in mathematics, by its very nature, generates a gap between the theoretical and the practical. This article constitutes an examination of two individual, yet similarly created, cases of mathematical idealization. Each involves using a theoretical extension beyond the finite limits which exist in practice regarding human activities, experiences, and perceptions. Scrutiny of details, however, brings out substantial differences between the two cases, not only in regard to the roles played by the idealized entities, but also in regard to appropriate criteria for justifying the use of such entities. The background information supplied and the examples chosen for analysis in this paper were selected from the areas of measurement theory, probability theory, mathematical logic, and philosophy of mathematics
|Keywords||Contemporary Philosophy General Interest|
|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
Are Mathematical Theories Reducible to Non-Analytic Foundations?Stathis Livadas - 2013 - Axiomathes 23 (1):109-135.
Pragmatic Idealization and Structuralist Reconstructions of Theories.Michaela Haase - 1996 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 27 (2):215-234.
Magicicada, Mathematical Explanation and Mathematical Realism.Davide Rizza - 2011 - Erkenntnis 74 (1):101-114.
What Is an Isolated System?Lawrence Sklar - 2001 - The Proceedings of the Twentieth World Congress of Philosophy 2001:51-57.
Fictionalism in the Philosophy of Mathematics.Mark Colyvan - 2011 - In E. J. Craig (ed.), Routledge Encyclopedia of Philosophy.
A Logical Critique of Mathematical Formalism in Economics.Ken Dennis - 1995 - Journal of Economic Methodology 2 (2):181-200.
Idealized Laws, Antirealism, and Applied Science: A Case in Hydrogeology.K. S. Shrader-Frechette - 1989 - Synthese 81 (3):329 - 352.
Idealization in Mathematics: Husserl and Beyond.Guillermo E. Rosado Haddock - 2004 - Poznan Studies in the Philosophy of the Sciences and the Humanities 82 (1):245-252.
A Husserlian Perspective on Empirical Mathematics in Aristotle.Jean De Groot - 2006 - Proceedings of the American Catholic Philosophical Association 80:91-99.
Uwagi o materii matematycznej i roli pojęć matematycznych.Roman Duda - 2012 - Filozofia Nauki 3.
Added to index2011-12-02
Total downloads15 ( #312,655 of 2,163,980 )
Recent downloads (6 months)4 ( #84,084 of 2,163,980 )
How can I increase my downloads?