Authors
Ori Simchen
University of British Columbia
Abstract
The Barcan formula (BF) is commonly paraphrased as the schematic conditional that if it is possible that there be a phi then something or other is possibly a phi. It is validated by the most straightforward systems of quantified modal logic. It is also widely considered to pose a threat to the commonsensical metaphysical view that there are no non-actual (or ‘merely possible’) things. I show how BF can be cleared of such a charge by construing it as a bridge principle connecting modality de dicto and modality de re while retaining a Russellian robust sense of reality in modal matters.
Keywords Barcan formula  de dicto and de re  modality
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Reprint years 2013
ISBN(s) 0495-4548
DOI theoria201328330
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References found in this work BETA

Semantical Considerations on Modal Logic.Saul A. Kripke - 1963 - Acta Philosophica Fennica 16:83-94.
Quantifiers and Propositional Attitudes.Willard van Orman Quine - 1956 - Journal of Philosophy 53 (5):177-187.
Introduction to Mathematical Philosophy.Bertrand Russell - 1919 - Revue Philosophique de la France Et de l'Etranger 89:465-466.

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