There Is A Problem with Substitutional Quantification
Theoria 68 (1):4-12 (2002)
| Abstract | Whereas arithmetical quantification is substitutional in the sense that a some-quantification is true only if some instance of it is true, it does not follow (and, in fact, is not true) that an account of the truth-conditions of the sentences of the language of arithmetic can be given by a substitutional semantics. A substitutional semantics fails in a most fundamental fashion: it fails to articulate the truth-conditions of the quantifications with which it is concerned. This is what is defended in the paper. In particular, it is defended against remarks to the contrary in a well known paper on the subject. | |||||||||
| Keywords | Quine Kripke substitutional quantification arithmetic Davidson | |||||||||
| Categories | ||||||||||
| Options |
|
|||||||||
Download options| PhilPapers Archive |
Upload a copy of this paper Check publisher's policy on self-archival Papers currently archived: 5,875 |
| External links |
 |
| Through your library | Configure |
Similar books and articlesPhilip Hugly & Charles Sayward (1987). Why Substitutional Quantification Does Not Express Existence. Theory and Decision 50:67-75.
Philip Hugly & Charles Sayward (1982). Indenumerability and Substitutional Quantification. Notre Dame Journal of Formal Logic 23 (4):358-366.
Philip Hugly & Charles Sayward (1991). Prior and Lorenzen on Quantification. Grazer Philosophishe Studien 41:150-173.
Daniel Bonevac (1984). Systems of Substitutional Semantics. Philosophy of Science 51 (4):631-656.
Philip Hugly & Charles Sayward (1981). Bound Variables and Schematic Letters. Logique Et Analyse 95:425-429.
Philip Hugly & Charles Sayward (1994). Quantifying Over the Reals. Synthese 101 (1):53 - 64.
Saul A. Kripke (1976). Is There a Problem About Substitutional Quantification? In Gareth Evans & John McDowell (eds.), Truth and Meaning. Oxford University Press.
Marian David (2006). A Substitutional Theory of Truth? Philosophy and Phenomenological Research 72 (1):182–189.
Burnham Terrell (1978). Quantification and Brentano's Logic. Grazer Philosophische Studien 5:45-65.
Terrell Dailey Burnham (1978). Quantification and Brentano's Logic. Grazer Philosophische Studien 5:45-66.
Charles Sayward (2002). Geach on Generalization. Dialogue 41 (02):221-.
Michael Hand (1992). Meaning, Truth-Conditions, and Substitutional Quantification. Philosophical Studies 68 (2):195 - 216.
Francesca Boccuni (forthcoming). Plural Logicism. Erkenntnis:1-17.
Charles Parsons (1971). A Plea for Substitutional Quantification. Journal of Philosophy 68 (8):231-237.
Analytics
Monthly downloads |
Added to index2010-09-13Total downloads46 ( #24,347 of 556,907 )Recent downloads (6 months)5 ( #16,193 of 556,907 )How can I increase my downloads? |
My notes
Discussion
