Substitutional Quantification

Edited by Geoff Georgi (West Virginia University, University of Southern California)
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  1. Kripke, Pseudo-Kripke, and Wallace.Thomas Baldwin - 1978 - 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. Systems of Substitutional Semantics.Daniel Bonevac - 1984 - 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. Review. Russell's Hidden Substitutional Theory. G Landini.M. Byrd - 2000 - British Journal for the Philosophy of Science 51 (2):357-362.
  4. Truth and Substitution Quantifiers.Joseph L. Camp Jr - 1975 - Noûs 9 (2):165-185.
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  5. Translational Indeterminacy and Substitutional Quantifiers.James D. Carney & Zak Van Straaten - 1974 - Foundations of Language 11 (4):533-541.
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  6. Roger Gallie and Substitutional Quantification.L. Jonathan Cohen - 1974 - Analysis 34 (3):69 - 73.
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  7. Substitutional Quantification and Existence.B. J. Copeland - 1985 - Analysis 45 (1):1 - 4.
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  8. A note on the Barcan formula and substitutional quantification.B. J. Copeland - 1982 - Logique Et Analyse 25 (97):83.
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  9. Peter van Inwagen, Substitutional Quantification, and Ontological Commitment.William Craig - 2014 - Notre Dame Journal of Formal Logic 55 (4):553-561.
    Peter van Inwagen has long claimed that he doesn’t understand substitutional quantification and that the notion is, in fact, meaningless. Van Inwagen identifies the source of his bewilderment as an inability to understand the proposition expressed by a simple sentence like “,” where “$\Sigma$” is the existential quantifier understood substitutionally. I should think that the proposition expressed by this sentence is the same as that expressed by “.” So what’s the problem? The problem, I suggest, is that van Inwagen takes (...)
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  10. In Defense of Substitutional Quantification.M. Dako - 1986 - International Logic Review 33:50.
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  11. A Substitutional Theory of Truth? [REVIEW]Marian David - 2006 - 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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  12. A Note on Substitutional Quantification.Martin Davies - 1980 - Noûs 14 (4):619-622.
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  13. Substitutional-Interstitial G.P. Zones in Nitrided Fe-Mo Alloys.J. H. Driver, D. C. Unthank & K. H. Jack - 1972 - Philosophical Magazine 26 (5):1227-1231.
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  14. The Substitution Interpretation of the Quantifiers.J. Michael Dunn & Nuel D. Belnap Jr - 1968 - Noûs 2 (2):177-185.
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  15. On the Sameness of Thoughts. Substitutional Quantifiers, Tense, and Belief Marco Santambrogio Universita di Parma, Italy.Grazer Philosophiseh E. Studien - 2006 - Grazer Philosophische Studien 72:111.
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  16. Truth and Meaning: Essays in Semantics.Gareth Evans & John Henry McDowell (eds.) - 1976 - Clarendon Press.
    Truth and Meaning is a classic collection of original essays on fundamental questions in the philosophy of language.
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  17. A Substitutional Framework for Arithmetical Validity.Fernando Ferreira - 1998 - Grazer Philosophische Studien 56:133-149.
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  18. Dale Gottlieb, Ontological Economy: Substitutional Quantification and Mathematics. [REVIEW]Hartry Field - 1984 - Noûs 18 (1):160-165.
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  19. Substitutionalism and Substitutional Quantification.R. D. Gallie - 1975 - Analysis 35 (3):97 - 101.
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  20. A. N. Prior and Substitutional Quantification.R. D. Gallie - 1974 - Analysis 34 (3):65 - 69.
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  21. A Propositional Semantics for Substitutional Quantification.Geoff Georgi - 2015 - Philosophical Studies 172 (5):1183-1200.
    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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  22. Ontological Economy: Substitutional Quantification and Mathematics.Dale Gottlieb - 1980 - Oxford University Press.
  23. Substitutional Quantification and Set Theory.Dale Gottlieb & Timothy McCarthy - 1979 - Journal of Philosophical Logic 8 (1):315 - 331.
  24. Meaning, Truth-Conditions, and Substitutional Quantification.Michael Hand - 1992 - Philosophical Studies 68 (2):195 - 216.
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  25. Substitutional Quantification and Quotation.Gilbert Harman - 1971 - Noûs 5 (2):213-214.
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  26. There Is A Problem with Substitutional Quantification.Philip Hugly & Charles Sayward - 2002 - 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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  27. Quantifying Over the Reals.Philip Hugly & Charles Sayward - 1994 - Synthese 101 (1):53 - 64.
    Peter Geach proposed a substitutional construal of quantification over thirty years ago. It is not standardly substitutional since it is not tied to those substitution instances currently available to us; rather, it is pegged to possible substitution instances. We argue that (i) quantification over the real numbers can be construed substitutionally following Geach's idea; (ii) a price to be paid, if it is that, is intuitionism; (iii) quantification, thus conceived, does not in itself relieve us of ontological commitment to real (...)
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  28. Why Substitutional Quantification Does Not Express Existence.Philip Hugly & Charles Sayward - 1987 - 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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  29. Indenumerability and Substitutional Quantification.Philip Hugly & Charles Sayward - 1982 - 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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  30. Russell's Substitutional Theory.Peter Hylton - 1980 - Synthese 45 (1):1 - 31.
  31. Why I Don't Understand Substitutional Quantification.Peter Inwagen - 1981 - Philosophical Studies 39 (3):281 - 285.
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  32. Ontological Economy: Substitutional Quantification and Mathematics by Dale Gottlieb. [REVIEW]Michael Jubien - 1982 - Journal of Philosophy 79 (12):781-786.
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  33. Is There a Problem About Substitutional Quantification?Saul A. Kripke - 1976 - In Gareth Evans & John McDowell (eds.), Truth and Meaning. Oxford University Press. pp. 324-419.
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  34. Substitutional Quantification and Le'sniewskian Quantifiers.Guido Küng & John Thomas Canty - 1970 - Theoria 36 (2):165-182.
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  35. Substitutional Quantification and Nonstandard Quantifiers.H. A. Lewis - 1985 - Noûs 19 (3):447-451.
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  36. Substitutional Semantics and Natural Language Quantification.Peter Ludlow - unknown
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  37. Nominalism and the Substitutional Quantifier.Ruth Barcan Marcus - 1978 - The Monist 61 (3):351-362.
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  38. Ontological Economy: Substitutional Quantification and Mathematics.Stanley Martens & Dale Gottlieb - 1983 - Philosophical Review 92 (4):636.
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  39. Nonreferential Complements, Nominalizations, and Derived Objects.Moltmann Friederike - 2004 - 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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  40. Nominalizing Quantifiers.Friederike Moltmann - 2003 - 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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  41. Referential and Nonreferential Substitutional Quantifiers.Alex Orenstein - 1984 - Synthese 60 (2):145 - 157.
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  42. Substitutional Quantification and Mathematics. [REVIEW]Charles Parsons - 1982 - British Journal for the Philosophy of Science 33 (4):409-421.
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  43. Much Ado About Substitutional Quantification.Charles Parsons - 1976 - Journal of Philosophy 73 (18):651-653.
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  44. A Plea for Substitutional Quantification.Charles Parsons - 1971 - Journal of Philosophy 68 (8):231-237.
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  45. About Games and Substitution.Manuel Rebuschi - 2003 - In Jaroslav Peregrin (ed.), Meaning: The Dynamic Turn. Elsevier Science. pp. 241--257.
    Kripke’s substitutional interpretation of quantifiers is usually said to be unsatisfactory for independence-friendly (IF) languages. The purpose of this paper is to question this claim. Two accounts of substitutional semantics for IF sentences will be written down, and the objection of the so-called ‘dummy variables’ will be ruled out. Moreover, it will be argued, against the traditional view, that Game-Theoretical Semantics (GTS) should be conceived of as substitutional. The paper ends with some remarks concerning the reasons why substitution is especially (...)
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  46. On the Sameness of Thoughts. Substitutional Quantifiers, Tense, and Belief.Marco Santambrogio - 2006 - 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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  47. The Substitutional Quantifier.James B. Scoggin - 1978 - The Monist 61 (3):408-425.
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  48. Quantification and Brentano's Logic.Burnham Terrell - 1978 - Grazer Philosophische Studien 5:45-65.
    Brentano's innovations in logical theory are considered in the context of his descriptive psychology, with its distinction between differences in quality and in object of mental phenomena. Objections are raised to interpretations that depend on a parallel between Urteil and assertion of a proposition. A more appropriate parallel is drawn between the assertion as subject to description in a metalanguage and the Urteil as secondary object in inner perception. This parallel is then applied so as to suggest a reinterpretation of (...)
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  49. Ontological Economy: Substitutional Quantification and Mathematics.Mary Tiles - 1982 - Philosophical Books 23 (2):90-94.
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  50. Quantification: Objectual or Substitutional?James E. Tomberlin - 1997 - Philosophical Issues 8:155-167.
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