Authors
Andrea Iacona
Università di Torino
Abstract
Despite the wide acceptance of standard modal logic, there has always been a temptation to think that ordinary modal discourse may be correctly analyzed and adequately represented in terms of predicates rather than in terms of operators. The aim of the formal model outlined in this paper is to capture what I take to be the only plausible sense in which ‘possible’ and ‘necessary’ can be treated as predicates. The model is built by enriching the language of standard modal logic with a quantificational apparatus that is “substitutional” rather than “objectual”, and by obtaining from the language so enriched another language in which constants for such predicates apply to singular terms that stand for propositions.
Keywords modal predicates  modal operators  substitutional quantification
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DOI 10.26686/ajl.v2i0.1767
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References found in this work BETA

Is There a Problem About Substitutional Quantification?Saul A. Kripke - 1976 - In Gareth Evans & John McDowell (eds.), Truth and Meaning. Oxford University Press. pp. 324-419.
Universals.George Bealer - 1993 - Journal of Philosophy 90 (1):5-32.
Is Modal Logic Logic?Gilbert Harman - 1972 - Philosophia 2 (1-2):75-84.

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Citations of this work BETA

Shallow Analysis and the Slingshot Argument.Michael Baumgartner - 2010 - Journal of Philosophical Logic 39 (5):531-556.

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