- Simon Thomas Hewitt
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There has been very little discussion of the appropriate principles to govern a modal logic of plurals. What debate there has been has accepted a principle I call (NecInc); informally if this is one of those then, necessarily: this is one of those. On this basis Williamson has criticised the Boolosian plural interpretation of monadic second-order logic. I argue against (NecInc), noting that it isn’t a theorem of any logic resulting from adding modal axioms to the plural logic PFO+, and showing that the most obvious formal argument in its favour is question begging. I go on to discuss the behaviour of natural language plurals, motivating a case against (NecInc) by developing a case that natural language plural terms are not de jure rigid designators. The paper concludes by developing a model theory for modal PFO+ which does not validate (NecInc). An Appendix discusses (NecInc) in relation to counterpart theory.
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- Modalising Plurals
Journal of Philosophical Logic
Volume 41, Issue 5 , pp 853-875
- Cover Date
- Print ISSN
- Online ISSN
- Springer Netherlands
- Additional Links
- Second-order logic
- Plural quantification
- Modal logic
- Author Affiliations
- 1. Department of Philosophy, Birkbeck College, University of London, London, WC1E 7HX, UK