The Fundamental Theorem of World Theory

Journal of Philosophical Logic (2-3):1-31 (2013)
The fundamental principle of the theory of possible worlds is that a proposition p is possible if and only if there is a possible world at which p is true. In this paper we present a valid derivation of this principle from a more general theory in which possible worlds are defined rather than taken as primitive. The general theory uses a primitive modality and axiomatizes abstract objects, properties, and propositions. We then show that this general theory has very small models and hence that its ontological commitments—and, therefore, those of the fundamental principle of world theory—are minimal
Keywords Possible worlds  Modality  Modal logic  Object theory
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DOI 10.1007/s10992-012-9265-z
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Sam Cowling (2011). The Limits of Modality. Philosophical Quarterly 61 (244):473-495.
David H. Sanford (1998). Topological Trees: G H von Wright's Theory of Possible Worlds. In TImothy Childers (ed.), The Logica Yearbook. Acadamy of Sciences of the Czech Republic

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