Substitutional Quantification

Edited by Geoff Georgi (West Virginia University, University of Southern California)
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  1. added 2020-02-12
    Ontological Economy: Substitutional Quantification and Mathematics.Michael Jubien - 1982 - Journal of Philosophy 79 (12):781-786.
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  2. added 2019-12-24
    First-Order Swap Structures Semantics for Some Logics of Formal Inconsistency.Marcelo E. Coniglio - forthcoming - Journal of Logic and Computation.
    The logics of formal inconsistency (LFIs, for short) are paraconsistent logics (that is, logics containing contradictory but non-trivial theories) having a consistency connective which allows to recover the ex falso quodlibet principle in a controlled way. The aim of this paper is considering a novel semantical approach to first-order LFIs based on Tarskian structures defined over swap structures, a special class of multialgebras. The proposed semantical framework generalizes previous aproaches to quantified LFIs presented in the literature. The case of QmbC, (...)
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  3. added 2019-06-06
    The Substitutional Quantifier: A Critique.James B. Scoggin - 1978 - The Monist 61 (3):408-425.
    If the substitutional interpretation of quantification is tenable, it provides a basis for reinterpreting any formal language-system as nominalist: each substituend for the variables of quantification either designates a concrete object or it is empty.
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  4. added 2019-05-24
    On Being Called Something.Geoff Georgi - 2017 - Linguistics and Philosophy 40 (6):595-619.
    Building on recent work by Delia Graff Fara and Ora Matushansky on appellative constructions like ‘Mirka called Roger handsome’, I argue that if Millianism about proper names is true, then the quantifier ‘something’ in ‘Mirka called Roger something’ is best understood as a kind of substitutional quantifier. Any adequate semantics for such quantifiers must explain both the logical behavior of ‘Mirka called Roger something’ and the acceptability of ‘so’-anaphora in ‘Mirka called Roger something, and everyone so called is handsome’. Millianism (...)
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  5. added 2017-11-06
    Chapter 3: The Semantics of Special Quantifiers in Predicate Position.Friederike Moltmann - 2013 - In Abstract Objects and the semantics of Natural Language. Oxford: Oxford University Press.
    This chapter argues that special quantifiers such as 'something' when occurring in argument position are not ordinary or substitutional quantifiers; rather they have a reifying force introducing a domain of tropes or kinds of tropes to quantify over.
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  6. added 2017-02-15
    Substitutional Semantics and Natural Language Quantification.Peter Ludlow - unknown
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  7. added 2017-02-01
    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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  8. added 2017-01-26
    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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  9. added 2017-01-19
    Review. Russell's Hidden Substitutional Theory. G Landini.M. Byrd - 2000 - British Journal for the Philosophy of Science 51 (2):357-362.
  10. added 2017-01-19
    Russell's Substitutional Theory.Peter Hylton - 1980 - Synthese 45 (1):1 - 31.
  11. added 2017-01-17
    Ontological Economy: Substitutional Quantification and Mathematics.Stanley Martens - 1983 - Philosophical Review 92 (4):636.
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  12. added 2015-07-21
    Dale Gottlieb, Ontological Economy: Substitutional Quantification and Mathematics. [REVIEW]Hartry Field - 1984 - Noûs 18 (1):160-165.
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  13. added 2015-04-17
    A note on the Barcan formula and substitutional quantification.B. J. Copeland - 1982 - Logique Et Analyse 25 (97):83.
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  14. added 2015-04-05
    In Defense of Substitutional Quantification.M. Dako - 1986 - International Logic Review 33:50.
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  15. added 2015-03-23
    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 (1):111.
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  16. added 2015-03-19
    A Substitutional Framework for Arithmetical Validity.Fernando Ferreira - 1998 - Grazer Philosophische Studien 56 (1):133-149.
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  17. added 2015-03-19
    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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  18. added 2014-11-27
    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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  19. added 2014-11-27
    Translational Indeterminacy and Substitutional Quantifiers.James D. Carney & Zak Van Straaten - 1974 - Foundations of Language 11 (4):533-541.
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  20. added 2014-09-09
    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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  21. added 2014-09-09
    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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  22. added 2014-09-09
    Nominalism and the Substitutional Quantifier.Ruth Barcan Marcus - 1978 - The Monist 61 (3):351-362.
    It has been suggested that a substitutional semantics for quantification theory lends itself to nominalistic aims. I should like in this paper to explore that claim.
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  23. added 2014-09-09
    Theories Whose Quantification Cannot Be Substitutional.T. S. Weston - 1974 - Noûs 8 (4):361-369.
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  24. added 2014-07-29
    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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  25. added 2014-07-29
    Review: Dale Gottlieb, Ontological Economy: Substitutional Quantification and Mathematics. [REVIEW]T. S. Weston - 1982 - Journal of Symbolic Logic 47 (2):473-475.
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  26. added 2014-07-28
    Substitutional Quantification and Existence.B. J. Copeland - 1985 - Analysis 45 (1):1 - 4.
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  27. added 2014-07-28
    Ontological Economy: Substitutional Quantification and Mathematics.Mary Tiles - 1982 - Philosophical Books 23 (2):90-94.
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  28. added 2014-07-28
    Substitutionalism and Substitutional Quantification.R. D. Gallie - 1975 - Analysis 35 (3):97 - 101.
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  29. added 2014-07-28
    Roger Gallie and Substitutional Quantification.L. Jonathan Cohen - 1974 - Analysis 34 (3):69 - 73.
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  30. added 2014-07-28
    A. N. Prior and Substitutional Quantification.R. D. Gallie - 1974 - Analysis 34 (3):65 - 69.
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  31. added 2014-07-17
    Quantification: Objectual or Substitutional?James E. Tomberlin - 1997 - Philosophical Issues 8:155-167.
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  32. added 2014-07-17
    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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  33. added 2014-07-16
    Referential and Nonreferential Substitutional Quantifiers.Alex Orenstein - 1984 - Synthese 60 (2):145 - 157.
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  34. added 2014-07-16
    Truth and Substitution Quantifiers.Joseph L. Camp - 1975 - Noûs 9 (2):165-185.
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  35. added 2014-06-22
    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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  36. added 2014-03-31
    Meaning, Truth-Conditions, and Substitutional Quantification.Michael Hand - 1992 - Philosophical Studies 68 (2):195 - 216.
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  37. added 2014-03-23
    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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  38. added 2014-03-22
    Nonreferential Complements, Nominalizations, and Derived Objects.Friederike Moltmann - 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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  39. added 2014-03-18
    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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  40. added 2013-10-31
    The Substitution Interpretation of the Quantifiers.J. Michael Dunn & Nuel D. Belnap - 1968 - Noûs 2 (2):177-185.
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  41. added 2011-05-31
    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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  42. added 2011-05-31
    Substitutional Quantification and Le'sniewskian Quantifiers.Guido Küng & John Thomas Canty - 1970 - Theoria 36 (2):165-182.
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  43. added 2011-05-23
    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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  44. added 2010-06-22
    Truth and Meaning: Essays in Semantics.Gareth Evans & John 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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  45. added 2010-02-06
    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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  46. added 2008-12-31
    Substitutional Quantification and Nonstandard Quantifiers.H. A. Lewis - 1985 - Noûs 19 (3):447-451.
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  47. added 2008-12-31
    Substitutional Quantification and Mathematics. [REVIEW]Charles Parsons - 1982 - British Journal for the Philosophy of Science 33 (4):409-421.
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  48. added 2008-12-31
    Why I Don't Understand Substitutional Quantification.Peter Inwagen - 1981 - Philosophical Studies 39 (3):281 - 285.
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  49. added 2008-12-31
    A Note on Substitutional Quantification.Martin Davies - 1980 - Noûs 14 (4):619-622.
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  50. added 2008-12-31
    Ontological Economy: Substitutional Quantification and Mathematics.Dale Gottlieb - 1980 - Oxford University Press.
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