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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Bibliography
Bunge, M., 1972 and 1974, Treatise on Basic Philosophy, Vols. 1 and 2, Dordrecht: Reidel.
Chandler, B. and Magnus, W., 1982, The History of Combinatorial Group Theory: A Case Study in the History of Ideas, New York: Springer Verlag.
Gierz, G., Hofmann, K. H., Keimel, K., Lawson, J. D., Mislove, M. and Scott, D. S., 1980, A Compendium of Continuous Lattices, Springer-Verlag.
Johnstone, P., 1982, Stone Spaces, Cambridge University Press.
Marquis, J.-P., 1991, Partial Truths about Partial Truth, to appear in Studies on Bunge's Treatise.
McLarty, C., 1989, The Uses and Abuses of the History of Topos Theory, preprint.
Miller, D., 1984, Impartial Truth, Aspects of Vagueness, H. J. Skala, S. Termini and E. Trillas, eds., Dordrecht: Reidel, pp. 75–90.
Mormann, T., 1988, Are All False Theories Equally False?, British Journal of Philosophy of Science 39, 505–519.
Niiniluoto, I., 1987, How to Define Verisimilitude, What is Closer-to-the Truth?, T. Kuipers, ed., Amsterdam: Rodopi, pp. 11–23.
Taylor, J. R., 1982, An Introduction to Error Analysis, Mill Valey: California.
Truesdell, C., 1983, An Idiot's Fugitive Essays on Science, New York: Springer-Verlag.
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Marquis, JP. Approximations and truth spaces. J Philos Logic 20, 375–401 (1991). https://doi.org/10.1007/BF00249435
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DOI: https://doi.org/10.1007/BF00249435