Results for 'quantification'

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  1. A note on universally free first order quantification theory ap Rao.Universally Free First Order Quantification - forthcoming - Logique Et Analyse.
     
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  2.  32
    The politics of modern reason: Politics, anti-politics and norms on continental philosophy, James Bohman.Quantification Parts & Aristotelian Predication - 1999 - The Monist 82 (2).
  3. Quantification and Logical Form.Andrea Iacona - 2015 - In Alessandro Torza, Quantifiers, Quantifiers, and Quantifiers. Themes in Logic, Metaphysics, and Language. (Synthese Library vol. 373). Cham: Springer. pp. 125-140.
    This paper deals with the logical form of quantified sentences. Its purpose is to elucidate one plausible sense in which quantified sentences can adequately be represented in the language of first-order logic. Section 1 introduces some basic notions drawn from general quantification theory. Section 2 outlines a crucial assumption, namely, that logical form is a matter of truth-conditions. Section 3 shows how the truth-conditions of quantified sentences can be represented in the language of first-order logic consistently with some established (...)
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  4.  87
    Quantification without variables in connectionism.John A. Barnden & Kankanahalli Srinivas - 1996 - Minds and Machines 6 (2):173-201.
    Connectionist attention to variables has been too restricted in two ways. First, it has not exploited certain ways of doing without variables in the symbolic arena. One variable-avoidance method, that of logical combinators, is particularly well established there. Secondly, the attention has been largely restricted to variables in long-term rules embodied in connection weight patterns. However, short-lived bodies of information, such as sentence interpretations or inference products, may involve quantification. Therefore short-lived activation patterns may need to achieve the effect (...)
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  5.  29
    The Quantification of Bodies in Health: Multidisciplinary Perspectives.Joaquim Braga, Btihaj Ajana & Simone Guidi (eds.) - 2021 - Bingley, Reino Unido: Emerald Publishing Limited.
    The use of digital tracking technologies is a widespread phenomenon. Millions of people around the world now track, document, and analyse their physical activities, vital functions, and daily habits through wearable devices, apps, and platforms. The aim is to assess and improve health, productivity, and wellbeing. The current Covid-19 pandemic has accelerated the uptake of tracking technologies. At the heart of this trend lies the quantification of the body, deemed as a key element in medical practice and personal self-care. (...)
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  6.  70
    Carnap, Quine, Quantification and Ontology.Gregory Lavers - 2015 - In Alessandro Torza, Quantifiers, Quantifiers, and Quantifiers. Themes in Logic, Metaphysics, and Language. (Synthese Library vol. 373). Cham: Springer.
    Abstract At the time of The Logical Syntax of Language (Syntax), Quine was, in his own words, a disciple of Carnap’s who read this work page by page as it issued from Ina Carnap’s typewriter. The present paper will show that there were serious problems with how Syntax dealt with ontological claims. These problems were especially pronounced when Carnap attempted to deal with higher order quantification. Carnap, at the time, viewed all talk of reference as being part of the (...)
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  7. Inferential Quantification and the ω-rule.Constantin C. Brîncuş - 2024 - In Antonio Piccolomini D'Aragona, Perspectives on Deduction: Contemporary Studies in the Philosophy, History and Formal Theories of Deduction. Springer Verlag. pp. 345--372.
    Logical inferentialism maintains that the formal rules of inference fix the meanings of the logical terms. The categoricity problem points out to the fact that the standard formalizations of classical logic do not uniquely determine the intended meanings of its logical terms, i.e., these formalizations are not categorical. This means that there are different interpretations of the logical terms that are consistent with the relation of logical derivability in a logical calculus. In the case of the quantificational logic, the categoricity (...)
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  8.  99
    Standard quantification theory in the analysis of English.Stephen Donaho - 2002 - Journal of Philosophical Logic 31 (6):499-526.
    Standard first-order logic plus quantifiers of all finite orders ("SFOLω") faces four well-known difficulties when used to characterize the behavior of certain English quantifier phrases. All four difficulties seem to stem from the typed structure of SFOLω models. The typed structure of SFOLω models is in turn a product of an asymmetry between the meaning of names and the meaning of predicates, the element-set asymmetry. In this paper we examine a class of models in which this asymmetry of meaning is (...)
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  9.  20
    Quantificational reefs in deontic waters.David Makinson - 1981 - In Risto Hilpinen, New Studies in Deontic Logic: Norms, Actions, and the Foundations of Ethics. Dordrecht, Netherland: Wiley-Blackwell. pp. 87--91.
    Illustrates the prevalence of implicit quantification in deontic assertions in ordinary language.
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  10. Quantification and Brentano's Logic.Terrell Dailey Burnham - 1978 - Grazer Philosophische Studien 5:45-66.
    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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  11.  82
    On Quantification and Extensionality.Kai F. Wehmeier - 2024 - Review of Symbolic Logic 17 (2):343-365.
    We investigate whether ordinary quantification over objects is an extensional phenomenon, or rather creates non-extensional contexts; each claim having been propounded by prominent philosophers. It turns out that the question only makes sense relative to a background theory of syntax and semantics (here called a grammar) that goes well beyond the inductive definition of formulas and the recursive definition of satisfaction. Two schemas for building quantificational grammars are developed, one that invariably constructs extensional grammars (in which quantification, in (...)
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  12. Inferential Quantification and the ω-Rule.Constantin C. Brîncuş - 2024 - In Antonio Piccolomini D'Aragona, Perspectives on Deduction: Contemporary Studies in the Philosophy, History and Formal Theories of Deduction. Springer Verlag. pp. 345-372.
    Logical inferentialism maintains that the formal rules of inference fix the meanings of the logical terms. The categoricity problem points out to the fact that the standard formalizations of classical logic do not uniquely determine the intended meanings of its logical terms, i.e., these formalizations are not categorical. This means that there are different interpretations of the logical terms that are consistent with the relation of logical derivability in a logical calculus. In the case of the quantificational logic, the categoricity (...)
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  13.  19
    La quantification nominale.Viviane Arigne - 2022 - Corela. Cognition, Représentation, Langage.
    This article addresses nominal quantification in English in relation to discrete and continuous quantity, the two semantic categories of discrete and continuous / mass being analysed as interpretations of syntax. It re-examines the hypothesis of non-quantifiable continuous nouns as well as some theoretical questions such as overloaded definitions, unexploited oppositions or notions found without an explicit definition, as is sometimes the case with the concept of collective. The study then proceeds to examine semantic multiplicity in connection with grammatical number. (...)
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  14.  49
    Guarded quantification in least fixed point logic.Gregory McColm - 2004 - Journal of Logic, Language and Information 13 (1):61-110.
    We develop a variant of Least Fixed Point logic based on First Orderlogic with a relaxed version of guarded quantification. We develop aGame Theoretic Semantics of this logic, and find that under reasonableconditions, guarding quantification does not reduce the expressibilityof Least Fixed Point logic. But we also find that the guarded version ofa least fixed point algorithm may have a greater time complexity thanthe unguarded version, by a linear factor.
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  15. Quantification and Metaphysical Discourse.Patrick Dieveney - 2013 - Theoria 80 (4):292-318.
    It is common in metaphysical discourse to make claims like “Everything is self-identical” in which “everything” is intended to range over everything. This sort of “unrestricted” generality appears central to metaphysical discourse. But there is debate whether such generality, which appears to involve quantification over an all-inclusive domain, is even meaningful. To address this concern, Shaughan Lavine and Vann McGee supply competing accounts of the generality expressed by this use of “everything.” I argue that, from the perspective of the (...)
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  16. (1 other version)Quantification and ontological commitment.Nicholas K. Jones - 2024 - In Anna Sofia Maurin & Anthony Fisher, Routledge Handbook on Properties.
    This chapter discusses ontological commitment to properties, understood as ontological correlates of predicates. We examine the issue in four metaontological settings, beginning with an influential Quinean paradigm on which ontology concerns what there is. We argue that this naturally but not inevitably avoids ontological commitment to properties. Our remaining three settings correspond to the most prominent departures from the Quinean paradigm. Firstly, we enrich the Quinean paradigm with a primitive, non-quantificational notion of existence. Ontology then concerns what exists. We argue (...)
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  17. Unrestricted Quantification.Salvatore Florio - 2014 - Philosophy Compass 9 (7):441-454.
    Semantic interpretations of both natural and formal languages are usually taken to involve the specification of a domain of entities with respect to which the sentences of the language are to be evaluated. A question that has received much attention of late is whether there is unrestricted quantification, quantification over a domain comprising absolutely everything there is. Is there a discourse or inquiry that has absolute generality? After framing the debate, this article provides an overview of the main (...)
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  18. Quantification in Natural Languages.Emmon W. Bach, Eloise Jelinek, Angelika Kratzer & Barbara H. Partee (eds.) - 1995 - Dordrecht, Netherland: Kluwer Academic Publishers.
    This extended collection of papers is the result of putting recent ideas on quantification to work on a wide variety of languages.
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  19.  48
    The distribution of quantificational suffixes in Japanese.Kazuko Yatsushiro - 2009 - Natural Language Semantics 17 (2):141-173.
    The existential and universal quantifiers in Japanese both consist of two morphemes: an indeterminate pronoun and a quantificational suffix. This paper examines the distributional characteristics of these suffixes (ka for the existential quantifier and mo for the universal quantifier). It is shown that ka can appear in a wider range of structural positions than mo can. This difference receives explanation on semantic grounds. I propose that mo is a generalized quantifier. More specifically, I assume that the phrase headed by mo (...)
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  20.  70
    The quantification of intelligence in nineteenth-century craniology: an epistemology of measurement perspective.Michele Luchetti - 2022 - European Journal for Philosophy of Science 12 (4):1-29.
    Craniology – the practice of inferring intelligence differences from the measurement of human skulls – survived the dismissal of phrenology and remained a widely popular research program until the end of the nineteenth century. From the 1970s, historians and sociologists of science extensively focused on the explicit and implicit socio-cultural biases invalidating the evidence and claims that craniology produced. Building on this literature, I reassess the history of craniological practice from a different but complementary perspective that relies on recent developments (...)
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  21.  68
    Quantification and Inference.Aleksy Molczanow - 2002 - The Monist 85 (4):535-554.
    Quantification, understood in the widest possible sense, is a phenomenon of fundamental interest for logic and linguistics and at the same time a phenomenon whose exegesis presents notorious problems in both of these disciplines. The general point to be made in the present essay is this: that there is a lack of understanding of the real nature of quantification, both in natural language and in logic itself, and that this is a direct consequence of a serious defect in (...)
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  22. Interpreting quantification.Ruth Barcan Marcus - 1962 - Inquiry: An Interdisciplinary Journal of Philosophy 5 (1-4):252 – 259.
    Alternative readings of quantification are considered. The absence of an unequivocal translation into ordinary speech is noted. Some examples are cited which, in the opinion of the author, are a result of equivocal readings of quantification, or unnecessarily restrictive readings which obscure its primary function.
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  23.  98
    Quantification and Leibniz's law.Mark Richard - 1987 - Philosophical Review 96 (4):555-578.
    The Philosophical Review, Vol. XCVI, No. 4 (October 1987). Categorically proves that Leibniz's Law (the principle that any instance of _for any x and y, if x=y, then if ...x..., then ..y..._ is true) is not a principle of which is true of natural language objectual quantification.
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  24.  44
    Propositional Quantification.Ryan Christensen - 2011 - Russell: The Journal of Bertrand Russell Studies 31 (1).
    Ramsey defined truth in the following way: x is true if and only if ∃p(x = [p] & p). This definition is ill-formed in standard first-order logic, so it is normally interpreted using substitutional or some kind of higher-order quantifier. I argue that these quantifiers fail to provide an adequate reading of the definition, but that, given certain adjustments, standard objectual quantification does provide an adequate reading.
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  25.  38
    Quantification, sentences, and truth-values/Quantificação, sentenças e valores de verdade.Thomas Ricketts - 2007 - Manuscrito 30 (2):459-491.
    The paper maintains that Frege's quantification of sentence positions motivates his identification of sentences as proper names of truth-values; that this identification is fully compatible with the Context Principle; that the relation of a thought to its truth-value is the primary case of the relation of sense to meaning. The paper offers a reconstruction of Frege's defense of in pp. 33-5 of “On Sense and Meaning”O artigo sustenta que a quantificação Fregeana sobre posições de sentença motiva sua identificação de (...)
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  26. Quantification with Intentional and with Intensional Verbs.Friederike Moltmann - 2015 - In Alessandro Torza, Quantifiers, Quantifiers, and Quantifiers. Themes in Logic, Metaphysics, and Language. (Synthese Library vol. 373). Cham: Springer.
    The question whether natural language permits quantification over intentional objects as the ‘nonexistent’ objects of thought is the topic of a major philosophical controversy, as is the status of intentional objects as such. This paper will argue that natural language does reflect a particular notion of intentional object and in particular that certain types of natural language constructions (generally disregarded in the philosophical literature) cannot be analysed without positing intentional objects. At the same time, those intentional objects do not (...)
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  27. Plural quantification and classes.Gabriel Uzquiano - 2003 - Philosophia Mathematica 11 (1):67-81.
    When viewed as the most comprehensive theory of collections, set theory leaves no room for classes. But the vocabulary of classes, it is argued, provides us with compact and, sometimes, irreplaceable formulations of largecardinal hypotheses that are prominent in much very important and very interesting work in set theory. Fortunately, George Boolos has persuasively argued that plural quantification over the universe of all sets need not commit us to classes. This paper suggests that we retain the vocabulary of classes, (...)
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  28. (1 other version)Plural quantification.Ø Linnebo - 2008 - Stanford Encyclopedia of Philosophy.
    Ordinary English contains different forms of quantification over objects. In addition to the usual singular quantification, as in 'There is an apple on the table', there is plural quantification, as in 'There are some apples on the table'. Ever since Frege, formal logic has favored the two singular quantifiers ∀x and ∃x over their plural counterparts ∀xx and ∃xx (to be read as for any things xx and there are some things xx). But in recent decades it (...)
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  29.  25
    Uncertainty Quantification Using Multiple Models—Prospects and Challenges.Reto Knutti, Christoph Baumberger & Gertrude Hirsch Hadorn - 2019 - In Claus Beisbart & Nicole J. Saam, Computer Simulation Validation: Fundamental Concepts, Methodological Frameworks, and Philosophical Perspectives. Springer Verlag. pp. 835-855.
    Model evaluation for long-term climate predictions must be done on quantities other than the actual prediction, and a comprehensive uncertainty quantificationUncertainty quantification is impossible. An ad hoc alternative is provided by coordinated model intercomparisonsModel intercomparisons which typically use a “one model one vote” approach. The problem with such an approach is that it treats all models as independent and equally plausible. Reweighting all models of the ensemble for performance and dependence seems like an obvious way to improve on model (...)
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  30. Restricted quantification, negative existentials, and fiction.Kendall L. Walton - 2003 - Dialectica 57 (2):239–242.
    Realist theories about fictional entities must explain the fact that, in ordinary contexts people deny, apparently in all seriousness, that there are such things as the Big Bad Wolf and Santa Claus. The usual explanation treats these denials as involving restricted quantification: The speaker is said to be denying only that the Big Bad Wolf and Santa Claus are to be found among real or actual things, not that there are no such things at all. This is unconvincing. The (...)
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  31.  40
    No Quantification Without Qualification, and Vice Versa.Fred L. Bookstein - 2015 - Biological Theory 10 (3):212-227.
    Complexity in our universe, Herbert Simon once noted, generally takes a hierarchical, nearly decomposable form. If our purpose as biologists is to "carve Nature at the joints," then the quantitative biologist's pattern questions must embody some tentative claim of where the explanatory joints are—only after meaningful qualifications can notions of variance and covariance make sense. In morphometrics, specimens and variables alike can be "carved at the joints," with a correspondingly great gain in explanatory power in both versions. Simon's advice is (...)
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  32.  54
    Quantification Theory in *8 of Principia Mathematica and the Empty Domain.Gregory Landini - 2005 - History and Philosophy of Logic 26 (1):47-59.
    The second printing of Principia Mathematica in 1925 offered Russell an occasion to assess some criticisms of the Principia and make some suggestions for possible improvements. In Appendix A, Russell offered *8 as a new quantification theory to replace *9 of the original text. As Russell explained in the new introduction to the second edition, the system of *8 sets out quantification theory without free variables. Unfortunately, the system has not been well understood. This paper shows that Russell (...)
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  33. Polyadic Quantification via Denoting Concepts.Ori Simchen - 2010 - Notre Dame Journal of Formal Logic 51 (3):373-381.
    The question of the origin of polyadic expressivity is explored and the results are brought to bear on Bertrand Russell's 1903 theory of denoting concepts, which is the main object of criticism in his 1905 "On Denoting". It is shown that, appearances to the contrary notwithstanding, the background ontology of the earlier theory of denoting enables the full-blown expressive power of first-order polyadic quantification theory without any syntactic accommodation of scopal differences among denoting phrases such as 'all φ', 'every (...)
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  34.  58
    Uncertainty quantification using multiple models - Prospects and challenges.Reto Knutti, Christoph Baumberger & Gertrude Hirsch Hadorn - 2019 - In Claus Beisbart & Nicole J. Saam, Computer Simulation Validation: Fundamental Concepts, Methodological Frameworks, and Philosophical Perspectives. Springer Verlag. pp. 835-855.
    Model evaluation for long term climate predictions must be done on quantities other than the actual prediction, and a comprehensive uncertainty quantification is impossible. An ad hoc alternative is provided by coordinated model intercomparisons which typically use a “one model one vote” approach. The problem with such an approach is that it treats all models as independent and equally plausible. Reweighting all models of the ensemble for performance and dependence seems like an obvious way to improve on model democracy, (...)
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  35.  16
    The Quantification of Life and Health from the Sixteenth to the Nineteenth Century. Intersections of Medicine and Philosophy.Simone Guidi & Joaquim Braga (eds.) - 2023 - Palgrave Macmillan.
    This edited volume explores the intersection of medicine and philosophy throughout history, calling attention to the role of quantification in understanding the medical body. Retracing current trends and debates to examine the quantification of the body throughout the early modern, modern and early contemporary age, the authors contextualise important issues of both medical and philosophical significance, with chapters focusing on the quantification of temperaments and fluids, complexions, functions of the living body, embryology, and the impact of quantified (...)
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  36. Quantification and ontology.Shaughan Lavine - 2000 - Synthese 124 (1-2):1-43.
    Quineans have taken the basic expression of ontological commitment to be an assertion of the form '' x '', assimilated to theEnglish ''there is something that is a ''. Here I take the existential quantifier to be introduced, not as an abbreviation for an expression of English, but via Tarskian semantics. I argue, contrary to the standard view, that Tarskian semantics in fact suggests a quite different picture: one in which quantification is of a substitutional type apparently first proposed (...)
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  37. Plural quantification exposed.Øystein Linnebo - 2003 - Noûs 37 (1):71–92.
    This paper criticizes George Boolos's famous use of plural quantification to argue that monadic second-order logic is pure logic. I deny that plural quantification qualifies as pure logic and express serious misgivings about its alleged ontological innocence. My argument is based on an examination of what is involved in our understanding of the impredicative plural comprehension schema.
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  38. Branching Quantification v. Two-way Quantification.Nina Gierasimczuk & Jakub Szymanik - 2009 - Journal of Semantics 26 (4):329-366.
    Next SectionWe discuss the thesis formulated by Hintikka (1973) that certain natural language sentences require non-linear quantification to express their meaning. We investigate sentences with combinations of quantifiers similar to Hintikka's examples and propose a novel alternative reading expressible by linear formulae. This interpretation is based on linguistic and logical observations. We report on our experiments showing that people tend to interpret sentences similar to Hintikka sentence in a way consistent with our interpretation.
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  39. Quantificational arguments in temporal adjunct clauses.Ron Artstein - 2005 - Linguistics and Philosophy 28 (5):541 - 597.
    Quantificational arguments can take scope outside of temporal adjunct clauses, in an apparent violation of locality restrictions: the sentence few secretaries cried after each executive resigned allows the quantificational NP each executive to take scope above few secretaries. I show how this scope relation is the result of local operations: the adjunct clause is a temporal generalized quantifier which takes scope over the main clause (Pratt and Francez, Linguistic and Philosophy 24(2), 187–222. [2001]), and within the adjunct clause, the quantificational (...)
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  40. Plural quantification logic: A critical appraisal.Hanoch Ben-Yami - 2009 - Review of Symbolic Logic 2 (1):208-232.
    I first show that most authors who developed Plural Quantification Logic (PQL) argued it could capture various features of natural language better than can other logic systems. I then show that it fails to do so: it radically departs from natural language in two of its essential features; namely, in distinguishing plural from singular quantification and in its use of an relation. Next, I sketch a different approach that is more adequate than PQL for capturing plural aspects of (...)
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  41. Unrestricted Quantification and the Structure of Type Theory.Salvatore Florio & Nicholas K. Jones - 2021 - Philosophy and Phenomenological Research 102 (1):44-64.
    Semantic theories based on a hierarchy of types have prominently been used to defend the possibility of unrestricted quantification. However, they also pose a prima facie problem for it: each quantifier ranges over at most one level of the hierarchy and is therefore not unrestricted. It is difficult to evaluate this problem without a principled account of what it is for a quantifier to be unrestricted. Drawing on an insight of Russell’s about the relationship between quantification and the (...)
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  42.  25
    Quantification of Respiratory and Muscular Perceived Exertions as Perceived Measures of Internal Loads During Domestic and Overseas Training Camps in Elite Futsal Players.Yu-Xian Lu, Filipe M. Clemente, Pedro Bezerra, Zachary J. Crowley-McHattan, Shih-Chung Cheng, Chia-Hua Chien, Cheng-Deng Kuo & Yung-Sheng Chen - 2022 - Frontiers in Psychology 12.
    BackgroundThe rating of perceived exertion scales with respiratory and muscular illustrations are recognized as simple and practical methods to understand individual psychometric characteristics in breathing and muscle exertion during exercise. However, the implementation of respiratory and muscular RPE to quantify training load in futsal training camps has not been examined. This study investigates respiratory and muscular RPE relationships during domestic training camps and overseas training camps in an under 20 futsal national team.MethodsData collected from eleven field players were used for (...)
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  43. Unrestricted Quantification and Reality: Reply to Kim. [REVIEW]Takashi Yagisawa - 2012 - Acta Analytica 27 (1):77-79.
    In my book, Worlds and Individuals, Possible and Otherwise , I use the novel idea of modal tense to respond to a number of arguments against modal realism. Peter van Inwagen’s million-carat-diamond objection is one of them. It targets the version of modal realism by David Lewis and exploits the fact that Lewis accepts absolutely unrestricted quantification. The crux of my response is to use modal tense to neutralize absolutely unrestricted quantification. Seahwa Kim says that even when equipped (...)
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  44. A remark on collective quantification.Juha Kontinen & Jakub Szymanik - 2008 - Journal of Logic, Language and Information 17 (2):131-140.
    We consider collective quantification in natural language. For many years the common strategy in formalizing collective quantification has been to define the meanings of collective determiners, quantifying over collections, using certain type-shifting operations. These type-shifting operations, i.e., lifts, define the collective interpretations of determiners systematically from the standard meanings of quantifiers. All the lifts considered in the literature turn out to be definable in second-order logic. We argue that second-order definable quantifiers are probably not expressive enough to formalize (...)
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  45.  22
    Quantification and Realism: Locating Semiosis in the Description of Biological Systems.Claudio J. Rodríguez Higuera - 2021 - Biosemiotics 14 (2):241-252.
    What do we quantify when we attempt to quantify semiotic systems and theories? How sound are potential quantifications in terms of interpretive values within some varieties of semiotic theory? We will make a distinction between formalization and quantification in order to understand what to quantify, how to quantify it and why quantification may be a desirable outcome for semiotic theory. The implications of this stance may be relevant and philosophically interesting in light of the naturalized project of biosemiotics. (...)
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  46. Quantification, negation, and focus: Challenges at the Conceptual-Intentional semantic interface.Tista Bagchi - manuscript
    Quantification, Negation, and Focus: Challenges at the Conceptual-Intentional Semantic Interface Tista Bagchi National Institute of Science, Technology, and Development Studies (NISTADS) and the University of Delhi Since the proposal of Logical Form (LF) was put forward by Robert May in his 1977 MIT doctoral dissertation and was subsequently adopted into the overall architecture of language as conceived under Government-Binding Theory (Chomsky 1981), there has been a steady research effort to determine the nature of LF in language in light of (...)
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  47. Modal Quantification Without Worlds.Billy Dunaway - 2013 - In Karen Bennett & Dean W. Zimmerman, Oxford Studies in Metaphysics, Volume 8. Oxford, GB: Oxford University Press. pp. 151-186.
    This paper is about avoiding commitment to an ontology of possible worlds with two primitives: a hyperintensional connective like ‘in virtue of’, and primitive quantification into predicate position. I argue that these tools (which some believe can be independently motivated) render dispensable the ontology of possible worlds needed by traditional anaylses of modality. They also shed new light on the notion of truth-at-a-world.
     
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  48.  41
    Imprecise Quantification.Alexander Roberts - 2019 - Proceedings of the Aristotelian Society 119 (3):357-367.
    Following David Lewis, Ted Sider has famously argued that unrestricted first-order quantification cannot be vague. His argument was intended as a type of reductio: its strategy was to show that the mere hypothesis of unrestricted quantifier vagueness collapses into the claim that unrestricted quantification is precise. However, this short article considers two natural reconstructions of the argument, and shows that each can be resisted. The theme will be that each reconstruction of the argument involves assumptions which advocates of (...)
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  49. Against Fregean Quantification.Bryan Pickel & Brian Rabern - 2023 - Ergo: An Open Access Journal of Philosophy 9 (37):971-1007.
    There are two dominant approaches to quantification: the Fregean and the Tarskian. While the Tarskian approach is standard and familiar, deep conceptual objections have been pressed against its employment of variables as genuine syntactic and semantic units. Because they do not explicitly rely on variables, Fregean approaches are held to avoid these worries. The apparent result is that the Fregean can deliver something that the Tarskian is unable to, namely a compositional semantic treatment of quantification centered on truth (...)
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  50.  72
    Identity, Quantification, and Number.Eric T. Olson - 2011 - In Tuomas E. Tahko, Contemporary Aristotelian Metaphysics. Cambridge: Cambridge University Press. pp. 66-82.
    E. J. Lowe and others argue that there can be 'uncountable' things admitting of no numerical description. This implies that there can be something without there being at least one such thing, and that things can be identical without being one or nonidentical without being two. The clearest putative example of uncountable things is portions of homogeneous stuff or 'gunk'. The paper argues that there is a number of portions of gunk if there is any gunk at all, and that (...)
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