Approximations and truth spaces |
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Authors: | Jean-Pierre Marquis |
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Affiliation: | (1) Center for Philosophy of Science, University of Pittsburgh, 15260 Pittsburgh, PA, USA;(2) Faculté de Philosophie, Université Laval, G1K 7P4, Québec, Canada |
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Abstract: | Approximations form an essential part of scientific activity and they come in different forms: conceptual approximations (simplifications in models), mathematical approximations of various types (e.g. linear equations instead of non-linear ones, computational approximations), experimental approximations due to limitations of the instruments and so on and so forth. In this paper, we will consider one type of approximation, namely numerical approximations involved in the comparison of two results, be they experimental or theoretical. Our goal is to lay down the conceptual and formal foundations of a local theory of partial truth. This is done by introducing and exploring the concept of truth space. |
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