Journal of Philosophical Research 23:81-94 (1998)
|Abstract||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||No keywords specified (fix it)|
|Through your library||Configure|
Similar books and articles
Stathis Livadas (2013). Are Mathematical Theories Reducible to Non-Analytic Foundations? Axiomathes 23 (1):109-135.
Robert W. Batterman (2009). Idealization and Modeling. Synthese 169 (3):427 - 446.
Michaela Haase (1996). Pragmatic Idealization and Structuralist Reconstructions of Theories. Journal for General Philosophy of Science 27 (2):215-234.
Davide Rizza (2011). Magicicada, Mathematical Explanation and Mathematical Realism. Erkenntnis 74 (1):101-114.
Chris Pincock (2007). Mathematical Idealization. Philosophy of Science 74 (5):957-967.
Lawrence Sklar (2001). What Is an Isolated System? The Proceedings of the Twentieth World Congress of Philosophy 2001:51-57.
Katarzyna Paprzycka (2000). Idealization in Unitarian Metaphysics. Axiomathes 11 (1-3).
Sarah Hoffman (2004). Kitcher, Ideal Agents, and Fictionalism. Philosophia Mathematica 12 (1):3-17.
Ken Dennis (1995). A Logical Critique of Mathematical Formalism in Economics. Journal of Economic Methodology 2 (2):181-200.
K. S. Shrader-Frechette (1989). Idealized Laws, Antirealism, and Applied Science: A Case in Hydrogeology. Synthese 81 (3):329 - 352.
Guillermo E. Rosado Haddock (2004). Idealization in Mathematics: Husserl and Beyond. Poznan Studies in the Philosophy of the Sciences and the Humanities 82 (1):245-252.
Jean De Groot (2006). A Husserlian Perspective on Empirical Mathematics in Aristotle. Proceedings of the American Catholic Philosophical Association 80:91-99.
Added to index2011-12-02
Total downloads2 ( #232,501 of 549,087 )
Recent downloads (6 months)0
How can I increase my downloads?