Title: Negative facts and constructible falsity

Authors: Seiki Akama

Addresses: C-Republic Inc., 1-20-1, Higashi-Yurigaoka, Asao-ku, Kawasaki-shi 215-0012, Japan

Abstract: We formalise the notion of negative facts due to Russell in terms of the logic of constructible falsity. We generalise Fraassen|s theory of facts so that we can deal with a positive fact as a true proposition and a negative fact as a false proposition in a constructive manner. We provide some adequacy results for the revised van Fraassen semantics with respect to several versions of Kripke semantics for constructible falsity.

Keywords: theory of facts; negative facts; constructible falsity; Kripke semantics; logic; van Fraassen semantics.

DOI: 10.1504/IJRIS.2009.026720

International Journal of Reasoning-based Intelligent Systems, 2009 Vol.1 No.1/2, pp.85 - 91

Published online: 24 Jun 2009 *

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