Information
Possible worlds and their duals
DOI:
https://doi.org/10.15448/1984-6746.2020.3.37290Keywords:
Bar-Hillel, Carnap, Infon, Modalities, Semantic informationAbstract
Formulations of the classical deductive validity often resort explicitly to modalities: for example, an argument is classically deductively valid if, and only if, necessarily if the premises are true, the conclusion is also true. It is not possible to completely abolish this appeal to modal discourse; inasmuch classical logic is the domain of possibilities. Nevertheless, through an informational semantics, it is possible to avoid that the user of classical logic has to manipulate modalities, although they are somehow imbricated in the infons - minimum information units. From the pioneering work of Carnap and Bar-Hillel, I will present two informational semantics: one directly related to possible worlds, and the other related to the duals of possible worlds.
Downloads
References
ADAMS, Robert Merrihew. Theories of Actuality. Noûs, New Jersey v. 8, p. 211-231, 1974. https://doi.org/10.2307/2214751 DOI: https://doi.org/10.2307/2214751
ADRIAANS, Pieter. Information. In: Edward N. Zalta (ed.). The Stanford Encyclopedia of Philosophy. Spring 2019 Edition. Stanford, CA: Metaphysics Research Lab, 2019. Disponível em: https://plato.stanford.edu/archives/spring2019/entries/information.
BAR-HILLEL, Yehoshua; CARNAP, Rudolf. Semantic information. The British Journal for the Philosophy of Science, Oxford, v. 4, n. 4, p. 147-157, Aug. 1953. https://doi.org/10.1093/bjps/IV.14.147 DOI: https://doi.org/10.1093/bjps/IV.14.147
BARKLEY ROSSER, John. Logic for mathematicians. New York:: McGraw Hill, 1953.
CARNAP, Rudolf; BAR-HILLEL, Yehoshua. An outline of a theory of semantic information. Technical report no. 247. Cambridge: Research Laboratory of Electronics, Massachusetts Institute of Technology, October 27, 1952.
CARNAP, Rudolf. Meaning and necessity: a study in semantics and modal logic. Enlarged edition. Chicago: The University of Chicago, 1956.
CHELLAS, Brian F. Modal logic: an introduction. Cambridge: Cambridge University Press, 1980. https://doi.org/10.1017/CBO9780511621192 DOI: https://doi.org/10.1017/CBO9780511621192
FINE, Kit. Normal forms in modal logic. Durham, Notre Dame Journal of Formal Logic, v. XVI, n. 2, Apr. p. 229-237, 1975. https://doi.org/10.1305/ndjfl/1093891703 DOI: https://doi.org/10.1305/ndjfl/1093891703
FLORIDI, Luciano. Semantic Conceptions of Information. In: Edward N. Zalta (ed.). The Stanford Encyclopedia of Philosophy. Spring 2019 Edition. Stanford, CA: Metaphysics Research Lab, 2019. Disponível em: https://plato.stanford.edu/archives/spring2019/entries/ information- semantic/.
HINTIKKA, Jaakko. Distributive Normal Forms and Deductive Interpolation. Zeitschrift für Mathematische Logik und Grundlagen der Mathematik, Duisburg, v. 10, p. 185- 191, 1964. https://doi.org/10.1002/malq.19640101302 DOI: https://doi.org/10.1002/malq.19640101302
HINTIKKA, Jaakko; BACHMAN, James. What If…? Toward Excellence in Reasoning. Mountain View, London: Mayfield Publishing Company, 1991.
KANT, Immanuel. On the form and principles of the sensible and the intelligible world [Inaugural dissertation] (1770). In: WALFORD, David; MEERBOTE, Ralf. Theoretical philosophy, 1755-1770. Cambridge: Cambridge University Press, 1992. p. 373-400.
LEWIS, Frank A. Parmenides’ Modal Fallacy. Phronesis, Leiden, v. 54, p. 1-8, 2009. https://doi.org/10.1163/156852808X375228 DOI: https://doi.org/10.1163/156852808X375228
MORTARI, Cezar A. Introdução à Lógica. 2. ed. São Paulo: Editora UNESP, 2016.
MUTANEN, Arto. Possible-worlds semantics, fiction, and creativity. Metodički ogledi, Zagreb, v. 21, n. 2, p. 53-69, 2014
SAUTTER, Frank Thomas; SANZ, Wagner de Campos. Teorias axiomáticas: o problema da ampliação da base., Fundamento: Revista de Pesquisa em Filosofia, Ouro Preto, n. 6, p. 11-21, jan./jun. 2013.
SAUTTER, Frank Thomas; MENDONÇA, Bruno Ramos. Argumentos exuberantes e sua retificação., Analytica, Rio de Janeiro, v. 18, n. 2, p. 109-121, 2014.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2021 Veritas (Porto Alegre)
This work is licensed under a Creative Commons Attribution 4.0 International License.
Copyright
The submission of originals to Revista Veritas implies the transfer by the authors of the right for publication. Authors retain copyright and grant the journal right of first publication. If the authors wish to include the same data into another publication, they must cite Revista Veritas as the site of original publication.
Creative Commons License
Except where otherwise specified, material published in this journal is licensed under a Creative Commons Attribution 4.0 International license, which allows unrestricted use, distribution and reproduction in any medium, provided the original publication is correctly cited. Copyright: © 2006-2020 EDIPUCRS</p