The Barcan Formula in Metaphysics

Theoria: Revista de Teoría, Historia y Fundamentos de la Ciencia 28 (3):375-392 (2013)
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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.

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Ori Simchen
University of British Columbia

Citations of this work

Ruth Barcan Marcus.Roberta Ballarin - 2024 - Stanford Encyclopedia of Philosophy.

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References found in this work

Naming and necessity.Saul Kripke - 2010 - In Darragh Byrne & Max Kölbel (eds.), Arguing about language. New York: Routledge. pp. 431-433.
Introduction to mathematical philosophy.Bertrand Russell - 1919 - New York: Dover Publications.
Semantical Considerations on Modal Logic.Saul Kripke - 1963 - Acta Philosophica Fennica 16:83-94.
Quantifiers and propositional attitudes.Willard van Orman Quine - 1955 - 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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