Necessitism, Contingentism, and Plural Quantification

Mind 119 (475):657-748 (2010)
Abstract
Necessitism is the view that necessarily everything is necessarily something; contingentism is the negation of necessitism. The dispute between them is reminiscent of, but clearer than, the more familiar one between possibilism and actualism. A mapping often used to ‘translate’ actualist discourse into possibilist discourse is adapted to map every sentence of a first-order modal language to a sentence the contingentist (but not the necessitist) may regard as equivalent to it but which is neutral in the dispute. This mapping enables the necessitist to extract a ‘cash value’ from what the contingentist says. Similarly, a mapping often used to ‘translate’ possibilist discourse into actualist discourse is adapted to map every sentence of the language to a sentence the necessitist (but not the contingentist) may regard as equivalent to it but which is neutral in the dispute. This mapping enables the contingentist to extract a ‘cash value’ from what the necessitist says. Neither mapping is a translation in the usual sense, since necessitists and contingentists use the same language with the same meanings. The former mapping is extended to a second-order modal language under a plural interpretation of the second-order variables. It is proved that the latter mapping cannot be. Thus although the necessitist can extract a ‘cash value’ from what the contingentist says in the second-order language, the contingentist cannot extract a ‘cash value’ from some of what the necessitist says, even when it raises significant questions. This poses contingentism a serious challenge
Keywords No keywords specified (fix it)
Categories (categorize this paper)
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history Request removal from index
 
Download options
PhilPapers Archive


Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 9,357
External links
  •   Try with proxy.
  •   Try with proxy.
  • Through your library Configure
    References found in this work BETA
    Karen Bennett (2005). Two Axes of Actualism. Philosophical Review 114 (3):297-326.
    Citations of this work BETA
    Peter Fritz (2013). Modal Ontology and Generalized Quantifiers. Journal of Philosophical Logic 42 (4):643-678.
    Gabriel Uzquiano (2011). Plural Quantification and Modality. Proceedings of the Aristotelian Society 111 (2pt2):219-250.
    Meghan Sullivan (2012). The Minimal A-Theory. Philosophical Studies 158 (2):149-174.

    View all 7 citations

    Similar books and articles
    Peter Fritz (2013). Modal Ontology and Generalized Quantifiers. Journal of Philosophical Logic 42 (4):643-678.
    Kristie Miller (2013). Properties in a Contingentist's Domain. Pacific Philosophical Quarterly 94 (2):225-245.
    Hannes Leitgeb (2001). Truth as Translation – Part A. Journal of Philosophical Logic 30 (4):281-307.
    Philippe De Rouilhan (2002). On What There Are. Proceedings of the Aristotelian Society 102:183 - 200.
    Øystein Linnebo, Plural Quantification. Stanford Encyclopedia of Philosophy.
    Simon Hewitt (2012). The Logic of Finite Order. Notre Dame Journal of Formal Logic 53 (3):297-318.
    John Nerbonne (1995). Nominal Comparatives and Generalized Quantifiers. Journal of Logic, Language and Information 4 (4):273-300.
    Francesca Boccuni (2013). Plural Logicism. Erkenntnis 78 (5):1051-1067.
    Analytics

    Monthly downloads

    Added to index

    2010-10-31

    Total downloads

    108 ( #7,707 of 1,088,811 )

    Recent downloads (6 months)

    2 ( #42,743 of 1,088,811 )

    How can I increase my downloads?

    My notes
    Sign in to use this feature


    Discussion
    Start a new thread
    Order:
    There  are no threads in this forum
    Nothing in this forum yet.