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  1. Thomas Baldwin (1978). Kripke, Pseudo-Kripke, and Wallace. Analysis 38 (4):173 - 181.
    It is argued that kripke has not shown that an explanatory truth theory for quantifiers which employs a substitutional approach does not require the hypothesis and that everything in the domain has a name, As wallace had claimed. It is further argued that kripke's substitutional quantifiers are best regarded as an extension of a device for abbreviating conjunctions and disjunctions.
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  2. Daniel Bonevac (1984). Systems of Substitutional Semantics. Philosophy of Science 51 (4):631-656.
    I investigate substitutional interpretations of quantifiers that count existential sentences true just in case they have true instances in a parametric extension of the language. I devise a semantics meeting four criteria: (1) it accounts adequately for natural language quantification; (2) it provides an account of justification in abstract sciences; (3) it constitutes a continuous semantics for natural and formal languages; and (4) it is purely substitutional, containing no appeal to referential interpretations. The prospects for a purely substitutional theory of (...)
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  3. Joseph L. Camp Jr (1975). Truth and Substitution Quantifiers. Noûs 9 (2):165-185.
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  4. L. Jonathan Cohen (1974). Roger Gallie and Substitutional Quantification. Analysis 34 (3):69 - 73.
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  5. B. J. Copeland (1985). Substitutional Quantification and Existence. Analysis 45 (1):1 - 4.
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  6. Marian David (2006). A Substitutional Theory of Truth? [REVIEW] Philosophy and Phenomenological Research 72 (1):182–189.
    Contribution to book symposium on C. Hill's: Thought and World. Focus is primarily on the intelligibility of Hill's substitutional quantification into propositions.
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  7. Martin Davies (1980). A Note on Substitutional Quantification. Noûs 14 (4):619-622.
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  8. J. Michael Dunn & Nuel D. Belnap Jr (1968). The Substitution Interpretation of the Quantifiers. Noûs 2 (2):177-185.
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  9. Gareth Evans & John Henry McDowell (eds.) (1976). Truth and Meaning: Essays in Semantics. Clarendon Press.
    Truth and Meaning is a classic collection of original essays on fundamental questions in the philosophy of language.
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  10. R. D. Gallie (1975). Substitutionalism and Substitutional Quantification. Analysis 35 (3):97 - 101.
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  11. R. D. Gallie (1974). A. N. Prior and Substitutional Quantification. Analysis 34 (3):65 - 69.
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  12. Geoff Georgi (forthcoming). A Propositional Semantics for Substitutional Quantification. Philosophical Studies:1-18.
    The standard truth-conditional semantics for substitutional quantification, due to Saul Kripke, does not specify what proposition is expressed by sentences containing the particular substitutional quantifier. In this paper, I propose an alternative semantics for substitutional quantification that does. The key to this semantics is identifying an appropriate propositional function to serve as the content of a bound occurrence of a formula containing a free substitutional variable. I apply this semantics to traditional philosophical reasons for interest in substitutional quantification, namely, theories (...)
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  13. Dale Gottlieb (1980). Ontological Economy: Substitutional Quantification and Mathematics. Oxford University Press.
  14. Dale Gottlieb & Timothy McCarthy (1979). Substitutional Quantification and Set Theory. Journal of Philosophical Logic 8 (1):315 - 331.
  15. Michael Hand (1992). Meaning, Truth-Conditions, and Substitutional Quantification. Philosophical Studies 68 (2):195 - 216.
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  16. Gilbert Harman (1971). Substitutional Quantification and Quotation. Noûs 5 (2):213-214.
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  17. Philip Hugly & Charles Sayward (2002). There Is A Problem with Substitutional Quantification. Theoria 68 (1):4-12.
    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 (...)
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  18. Philip Hugly & Charles Sayward (1987). Why Substitutional Quantification Does Not Express Existence. Theory and Decision 50:67-75.
    Fundamental to Quine’s philosophy of logic is the thesis that substitutional quantification does not express existence. This paper considers the content of this claim and the reasons for thinking it is true.
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  19. Philip Hugly & Charles Sayward (1982). Indenumerability and Substitutional Quantification. Notre Dame Journal of Formal Logic 23 (4):358-366.
    We here establish two theorems which refute a pair of what we believe to be plausible assumptions about differences between objectual and substitutional quantification. The assumptions (roughly stated) are as follows: (1) there is at least one set d and denumerable first order language L such that d is the domain set of no interpretation of L in which objectual and substitutional quantification coincide. (2) There exist interpreted, denumerable, first order languages K with indenumerable domains such that substitutional quantification deviates (...)
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  20. Peter Inwagen (1981). Why I Don't Understand Substitutional Quantification. Philosophical Studies 39 (3):281 - 285.
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  21. Saul A. Kripke (1976). Is There a Problem About Substitutional Quantification? In Gareth Evans & John McDowell (eds.), Truth and Meaning. Oxford University Press. 324-419.
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  22. Guido Küng & John Thomas Canty (1970). Substitutional Quantification and Le'sniewskian Quantifiers. Theoria 36 (2):165-182.
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  23. H. A. Lewis (1985). Substitutional Quantification and Nonstandard Quantifiers. Noûs 19 (3):447-451.
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  24. Ruth Barcan Marcus (1978). Nominalism and the Substitutional Quantifier. The Monist 61 (3):351-362.
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  25. Friederike Moltmann (2004). Nonreferential Complements, Nominalizations, and Derived Objects. Journal of Semantics 21 (1):1-43.
    This paper argues that certain complements in philosophically significant constructions, especially predicative and clausal complements and intensional NPs, should not be analysed as providing an argument for a relation expressed by the verb, but rather as forming a complex predicate together with the verb. Apparent evidence for the traditional relational analyses, namely the possibility of replacing the complement by quantifiers such as 'something', will be shown to be misguided. Quantifiers like 'something' rather act as nominalizing expressions introducing ‘new’, derived objects (...)
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  26. Friederike Moltmann (2003). Nominalizing Quantifiers. Journal of Philosophical Logic 32 (5):445-481.
    Quantified expressions in natural language generally are taken to act like quantifiers in logic, which either range over entities that need to satisfy or not satisfy the predicate in order for the sentence to be true or otherwise are substitutional quantifiers. I will argue that there is a philosophically rather important class of quantified expressions in English that act quite differently, a class that includes something, nothing, and several things. In addition to expressing quantification, such expressions act like nominalizations, introducing (...)
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  27. Alex Orenstein (1984). Referential and Nonreferential Substitutional Quantifiers. Synthese 60 (2):145 - 157.
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  28. Charles Parsons (1982). Review: Substitutional Quantification and Mathematics. [REVIEW] British Journal for the Philosophy of Science 33 (4):409 - 421.
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  29. Charles Parsons (1982). Substitutional Quantification and Mathematics. [REVIEW] British Journal for the Philosophy of Science 33 (4):409-421.
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  30. Charles Parsons (1976). Much Ado About Substitutional Quantification. Journal of Philosophy 73 (18):651-653.
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  31. Charles Parsons (1971). A Plea for Substitutional Quantification. Journal of Philosophy 68 (8):231-237.
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  32. Marco Santambrogio (2006). On the Sameness of Thoughts. Substitutional Quantifiers, Tense, and Belief. Grazer Philosophische Studien 72 (1):111-140.
    In order to know what a belief is, we need to know when it is appropriate to say that two subjects (or the same subject at two different times) believe(s) the same or entertain the same thought. This is not entirely straightforward. Consider for instance1. Tom thinks that he himself is the smartest and Tim believes the same2. In 2001, Bill believed that some action had to be taken to save the rain forest and today he believes the same.What does (...)
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  33. James B. Scoggin (1978). The Substitutional Quantifier. The Monist 61 (3):408-425.
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  34. Mary Tiles (1982). Ontological Economy: Substitutional Quantification and Mathematics. Philosophical Books 23 (2):90-94.
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  35. James E. Tomberlin (1997). Quantification: Objectual or Substitutional? Philosophical Issues 8:155-167.
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  36. John Wallace (1971). Convention T and Substitutional Quantification. Noûs 5 (2):199-211.
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  37. T. S. Weston (1982). Review: Dale Gottlieb, Ontological Economy: Substitutional Quantification and Mathematics. [REVIEW] Journal of Symbolic Logic 47 (2):473-475.
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  38. T. S. Weston (1974). Theories Whose Quantification Cannot Be Substitutional. Noûs 8 (4):361-369.
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