David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Studia Logica 82 (3):337 - 343 (2006)
If we agree with Michael Jubien that propositions do not exist, while accepting the existence of abstract sets in a realist mathematical ontology, then the combined effect of these ontological commitments has surprising implications for the metaphysics of modal logic, the ontology of logically possible worlds, and the controversy over modal realism versus actualism. Logically possible worlds as maximally consistent proposition sets exist if sets generally exist, but are equivalently expressed as maximally consistent conjunctions of the same propositions in corresponding sets. A conjunction of propositions, even if infinite in extent, is nevertheless itself a proposition. If sets and hence proposition sets exist but propositions do not exist, then whether or not modal realism is true depends on which of two apparently equivalent methods of identifying, representing, or characterizing logically possible worlds we choose to adopt. I consider a number of reactions to the problem, concluding that the best solution may be to reject the conventional model set theoretical concept of logically possible worlds as maximally consistent proposition sets, and distinguishing between the actual world alone as maximally consistent and interpreting all nonactual merely logically possible worlds as submaximal.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Dale Jacquette (2006). Crossroads of Logic and Ontology: A Modal-Combinatorial Analysis of Why There is Something Rather Than Nothing. Poznan Studies in the Philosophy of the Sciences and the Humanities 91 (1):17-46.
Edward N. Zalta (1997). A Classically-Based Theory of Impossible Worlds. Notre Dame Journal of Formal Logic 38 (4):640-660.
Mark Jago (2012). Constructing Worlds. Synthese 189 (1):59-74.
Cian Dorr (2005). Propositions and Counterpart Theory. Analysis 65 (3):210–218.
Christopher Menzel (2012). Sets and Worlds Again. Analysis 72 (2):304-309.
Theodore Sider (2002). The Ersatz Pluriverse. Journal of Philosophy 99 (6):279-315.
Greg Restall (1997). Ways Things Can't Be. Notre Dame Journal of Formal Logic 38 (4):583-596.
Maxwell J. Cresswell (2006). From Modal Discourse to Possible Worlds. Studia Logica 82 (3):307 - 327.
Francesco Berto (2010). Impossible Worlds and Propositions: Against the Parity Thesis. Philosophical Quarterly 60 (240):471-486.
Added to index2009-01-28
Total downloads61 ( #23,354 of 1,096,482 )
Recent downloads (6 months)6 ( #34,641 of 1,096,482 )
How can I increase my downloads?