Information

Possible worlds and their duals

Authors

DOI:

https://doi.org/10.15448/1984-6746.2020.3.37290

Keywords:

Bar-Hillel, Carnap, Infon, Modalities, Semantic information

Abstract

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

Download data is not yet available.

Author Biography

Frank Thomas Sautter, Universidade Federal de Santa Maria (UFSM), Santa Maria, RS, Brasil.

Doutor em Filosofia pela Universidade Estadual de Campinas (Unicamp), em Campinas, SP, Brasil; professor na Universidade Federal de Santa Maria (UFSM), em Santa Maria, RS, Brasil.

 

 

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.

Published

2020-12-31

How to Cite

Sautter, F. T. (2020). Information: Possible worlds and their duals. Veritas (Porto Alegre), 65(3), e37290. https://doi.org/10.15448/1984-6746.2020.3.37290

Issue

Section

Epistemology & Philosophy of Language