Results for 'Indiscernibility'

149 found
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  1.  30
    The Ambiguity of Indiscernibility.John Dilworth - manuscript
    I argue that there is an ambiguity in the concept of indiscernibility as applied to objects, because there are two different categories of properties, associated with two different ways in which all of the pre-theoretical 'properties' of an object may be identified. In one structural way, identifications of properties are independent of any particular spatial orientation of the object in question, but in another 'field' way, identifications are instead dependent on an object's particular spatial orientation, so that its properties (...)
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  2.  9
    Grades of Discrimination: Indiscernibility, Symmetry, and Relativity.Tim Button - 2017 - Notre Dame Journal of Formal Logic 58 (4):527-553.
    There are several relations which may fall short of genuine identity, but which behave like identity in important respects. Such grades of discrimination have recently been the subject of much philosophical and technical discussion. This paper aims to complete their technical investigation. Grades of indiscernibility are defined in terms of satisfaction of certain first-order formulas. Grades of symmetry are defined in terms of symmetries on a structure. Both of these families of grades of discrimination have been studied in some (...)
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  3. Identity, Indiscernibility, and Philosophical Claims.Décio Krause & Antonio M. N. Coelho - 2005 - Axiomathes 15 (2):191-210.
    The concept of indiscernibility in a structure is analysed with the aim of emphasizing that in asserting that two objects are indiscernible, it is useful to consider these objects as members of (the domain of) a structure. A case for this usefulness is presented by examining the consequences of this view to the philosophical discussion on identity and indiscernibility in quantum theory.
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  4.  76
    Composition, Indiscernibility, Coreferentiality.Massimiliano Carrara & Giorgio Lando - 2016 - Erkenntnis 81 (1):119-142.
    According to strong composition as identity, the logical principles of one–one and plural identity can and should be extended to the relation between a whole and its parts. Otherwise, composition would not be legitimately regarded as an identity relation. In particular, several defenders of strong CAI have attempted to extend Leibniz’s Law to composition. However, much less attention has been paid to another, not less important feature of standard identity: a standard identity statement is true iff its terms are coreferential. (...)
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  5.  10
    The Principle of the Indiscernibility of Identicals Requires No Restrictions.Ari Maunu - forthcoming - Synthese:1-8.
    There is a certain argument against the principle of the indiscernibility of identicals, or the thesis that whatever is true of a thing is true of anything identical with that thing. In this argument, PInI is used together with the self-evident principle of the necessity of self-identity to reach the conclusion Open image in new window, which is held to be paradoxical and, thus, fatal to PInI. My purpose is to show that the argument in question does not have (...)
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  6.  52
    Indiscernibility of Identicals and Substitutivity in Leibniz.Ari Maunu - 2002 - History of Philosophy Quarterly 19 (4):367-380.
    It is shown that typical arguments from intensionality against the Principle of Indiscernibility of Identicals (InI) misconstrue this principle, confusing it with the Principle of Substitution (PS). It has been proposed that Leibniz, in his statements like, "If A is the same as B, then A can be substituted for B, salva veritate, in any proposition", is not applying InI to objects nor PS to signs, but is talking about substitution of concepts in propositions, or applying InI to concepts. (...)
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  7.  5
    A Modal Logic of Indiscernibility.Décio Krause, Pedro Merlussi & Jonas R. Becker Arenhart - 2016 - In A. L. Aerts Diederik Et (ed.), Probing the Meaning of Quantum Mechanics: Superpositions, Dynamics, Semantics and Identity. World Scientific. pp. 259-279.
    This paper is a continuation of the authors' attempts to deal with the notion of indistinguishability (or indiscernibility) from a logical point of view. Now we introduce a two-sorted first-order modal logic to enable us to deal with objects of two different species. The intended interpretation is that objects of one of the species obey the rules of standard S5, while the objects of the other species obey only the rules of a weaker notion of indiscernibility. Quantum mechanics (...)
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  8.  24
    On the Notions of Indiscernibility and Indeterminacy in the Light of the Galois–Grothendieck Theory.Gabriel Catren & Julien Page - 2014 - Synthese 191 (18):4377-4408.
    We analyze the notions of indiscernibility and indeterminacy in the light of the Galois theory of field extensions and the generalization to \(K\) -algebras proposed by Grothendieck. Grothendieck’s reformulation of Galois theory permits to recast the Galois correspondence between symmetry groups and invariants as a Galois–Grothendieck duality between \(G\) -spaces and the minimal observable algebras that discern (or separate) their points. According to the natural epistemic interpretation of the original Galois theory, the possible \(K\) -indiscernibilities between the roots of (...)
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  9.  50
    Academic Arguments for the Indiscernibility Thesis.Casey Perin - 2005 - Pacific Philosophical Quarterly 86 (4):493-517.
    The Academics offered an argument from twins or perceptually indiscernible objects and an argument from dreams or madness in support of the indiscernibility thesis: that every true perceptual impression is such that some false impression just like it is possible. I claim that these arguments, unlike modern sceptical arguments, are supposed to establish mere counterfactual rather than epistemic possibilities. They purport to show that for any true perceptual impression j, there are a number of alternative causal histories j might (...)
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  10. Identity and Indiscernibility.K. Hawley - 2009 - Mind 118 (469):101-119.
    Putative counterexamples to the Principle of Identity of Indiscernibles (PII) are notoriously inconclusive. I establish ground rules for debate in this area, offer a new response to such counterexamples for friends of the PII, but then argue that no response is entirely satisfactory. Finally, I undermine some positive arguments for PII.
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  11. Bundles, Individuation and Indiscernibility.Matteo Morganti - 2011 - European Journal of Analytic Philosophy 7 (1):36-48.
    In a recent paper, Sun Demirli (2010) proposes an allegedly new way of conceiving of individuation in the context of the bundle theory of object constitution. He suggests that allowing for distance relations to individuate objects solves the problems with worlds containing indiscernible objects that would otherwise affect the theory. The aim of the present paper is i) To show that Demirli’s proposal falls short of achieving this goal and ii) To carry out a more general critical assessment of the (...)
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  12.  95
    Divine Knowledge and Qualitative Indiscernibility.Daniel S. Murphy - 2016 - Faith and Philosophy 33 (1):25-47.
    This paper is about the nature of God’s pre-creation knowledge of possible creatures. I distinguish three theories: non-qualitative singularism, qualitative singularism, and qualitative generalism, which differ in terms of whether the relevant knowledge is qualitative or non-qualitative, and whether God has singular or merely general knowledge of creatures. My main aim is to argue that qualitative singularism does not depend on a version of the Principle of Identity of Indiscernibles to the effect that, necessarily, qualitatively indiscernible individuals are identical. It (...)
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  13.  37
    Zones of Indiscernibility: The Life of a Concept From Deleuze to Agamben.Erinn Cunniff Gilson - 2007 - Philosophy Today 51 (5):98-106.
  14. On Kinds of Indiscernibility in Logic and Metaphysics.Adam Caulton & Jeremy Butterfield - 2012 - British Journal for the Philosophy of Science 63 (1):27-84.
    Using the Hilbert-Bernays account as a spring-board, we first define four ways in which two objects can be discerned from one another, using the non-logical vocabulary of the language concerned. Because of our use of the Hilbert-Bernays account, these definitions are in terms of the syntax of the language. But we also relate our definitions to the idea of permutations on the domain of quantification, and their being symmetries. These relations turn out to be subtle---some natural conjectures about them are (...)
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  15.  47
    Identity and Indiscernibility.Jeffrey Ketland - 2011 - Review of Symbolic Logic 4 (2):171-185.
    The notion of strict identity is sometimes given an explicit second-order definition: objects with all the same properties are identical. Here, a somewhat different problem is raised: Under what conditions is the identity relation on the domain of a structure first-order definable? A structure may have objects that are distinct, but indiscernible by the strongest means of discerning them given the language (the indiscernibility formula). Here a number of results concerning the indiscernibility formula, and the definability of identity, (...)
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  16.  43
    Indiscernibility Does Not Distinguish Particularity.Daniel Giberman - 2016 - Thought: A Journal of Philosophy 5 (4):249-256.
    According to the indiscernibility characterization of the distinction between particulars and universals, only and all the former have possible numerically distinct indiscernible intrinsic qualitative duplicates. It is argued here that both the sufficiency and the necessity directions are defective and that indiscernibility thus does not distinguish particularity. Against sufficiency: universals may lack intrinsic qualitative character and thus be trivially indiscernible from one another. Against necessity: pluralities of duplicate-less entities are at once duplicate-less and particular.
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  17.  28
    On the Notion of Indiscernibility in the Light of Galois-Grothendieck Theory.Gabriel Catren & Julien Page - unknown
    We analyze the notion of indiscernibility in the light of the Galois theory of field extensions and the generalization to K-algebras proposed by Grothendieck. Grothendieck's reformulation of Galois theory permits to recast the Galois correspondence between symmetry groups and invariants as a duality between G-spaces and the minimal observable algebras that separate theirs points. In order to address the Galoisian notion of indiscernibility, we propose what we call an epistemic reading of the Galois-Grothendieck theory. According to this viewpoint, (...)
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  18.  12
    Algebraic Aspects of Quantum Indiscernibility.Decio Krause & Hercules de Araujo Feitosa - unknown
    We show that using quasi-set theory, or the theory of collections of indistinguishable objects, we can define an algebra that has most of the standard properties of an orthocomplete orthomodular lattice, which is the lattice of all closed subspaces of a Hilbert space. We call the mathematical structure so obtained $\mathfrak{I}$-lattice. After discussing some aspects of such a structure, we indicate the next problem of axiomatizing the corresponding logic, that is, a logic which has $\mathfrak{I}$-lattices as its Lindembaum algebra, which (...)
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  19.  29
    Algebraic Aspects of Quantum Indiscernibility.Decio Krause & Hercules Araujo Feitosdea - unknown
    We show that using quasi-set theory, or the theory of collections of indistinguishable objects, we can define an algebra that has most of the standard properties of an orthocomplete orthomodular lattice, which is the lattice of all closed subspaces of a Hilbert space. We call the mathematical structure so obtained $\mathfrak{I}$-lattice. After discussing (in a preliminary form) some aspects of such a structure, we indicate the next problem of axiomatizing the corresponding logic, that is, a logic which has $\mathfrak{I}$-lattices as (...)
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  20. Identity, Indiscernibility, and Ante Rem Structuralism: The Tale of I and –I.Stewart Shapiro - 2008 - Philosophia Mathematica 16 (3):285-309.
    Some authors have claimed that ante rem structuralism has problems with structures that have indiscernible places. In response, I argue that there is no requirement that mathematical objects be individuated in a non-trivial way. Metaphysical principles and intuitions to the contrary do not stand up to ordinary mathematical practice, which presupposes an identity relation that, in a sense, cannot be defined. In complex analysis, the two square roots of –1 are indiscernible: anything true of one of them is true of (...)
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  21. Material Coincidence and the Indiscernibility Problem.Eric T. Olson - 2001 - Philosophical Quarterly 51 (204):337-355.
    It is often said that the same particles can simultaneously make up two or more material objects that differ in kind and in their mental, biological, and other qualitative properties. Others wonder how objects made of the same parts in the same arrangement and surroundings could differ in these ways. I clarify this worry and show that attempts to dismiss or solve it miss its point. At most one can argue that it is a problem we can live with.
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  22. Endurance and Indiscernibility.Trenton Merricks - 1994 - Journal of Philosophy 91 (4):165-184.
  23. Identity, Essence, and Indiscernibility.Stephen Yablo - 1987 - Journal of Philosophy 84 (6):293-314.
  24. Identities, Distinctnesses, Truthmakers, and Indiscernibility Principles.Denis Robinson - 2000 - Logique Et Analyse 43 (169-170):145-183.
    After sketching some aspects of truthmaker doctrines and "truthmaker projects", and canvassing some prima facie objections to the latter, I turn to an issue which might seem to involve confusion about the nature of character of truthmakers if such there be, viz for statements of identity and (specially) distinctness. The real issue here is versions of the Identity of Indiscernibles. I discuss ways of discriminating versions, which are almost certainly true but trivial, which almost certainly substantive but false, and explore (...)
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  25. On Dynamics, Indiscernibility, and Spacetime Ontology.Robert Disalle - 1994 - British Journal for the Philosophy of Science 45 (1):265-287.
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  26.  3
    Endurance and Indiscernibility.Trenton Merricks - 1994 - Journal of Philosophy 91 (4):165-184.
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  27. Indiscernibility and Bundles in a Structure.Sun Demirli - 2010 - Philosophical Studies 151 (1):1-18.
    The bundle theory is a theory about the internal constitution of individuals. It asserts that individuals are entirely composed of universals. Typically, bundle theorists augment their theory with a constitutional approach to individuation entailing the thesis ‘identity of constituents is a sufficient ground for numerical identity’ (CIT). But then the bundle theory runs afoul of Black’s duplication case—a world containing two indiscernible spheres. Here I propose and defend a new version of the bundle theory that denies ‘CIT’, and which instead (...)
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  28.  15
    Identity, Essence, and Indiscernibility.Stephen Yablo - 1987 - Journal of Philosophy 84 (6):293.
  29. Bundles and Indiscernibility: A Reply to o’Leary-Hawthorne.William F. Vallicella - 1997 - Analysis 57 (1):91–94.
  30.  88
    Vagueness, Indiscernibility, and Pragmatics: Comments on Burns.Achille C. Varzi - 1994 - Southern Journal of Philosophy 33 (S1):49-49.
    In ‘Something to Do with Vagueness ...’, Linda Burns defends an analogy between the informational and the borderline-case variety of vagueness. She argues that the latter is in fact less extraordinary and less disastrous than people in the tradition of Michael Dummett and Crispin Wright have told us. However, her account involves presuppositions that cannot be taken for granted. Here is to take a closer look at some of these presuppositions and argue hat they may—when left unguarded—undermine much of Burns’ (...)
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  31. Quantum Indiscernibility Without Vague Identity.Joanna Odrowaz-Sypniewska - 2001 - Analysis 61 (1):65--69.
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  32.  28
    Sensitivity, Indiscernibility and Knowledge.Keith Lehrer - 2000 - Noûs 34 (s1):33 - 37.
  33. Indiscernibility and Perception: A Reply to Joseph Margolis.Arthur C. Danto - 1999 - British Journal of Aesthetics 39 (4):321-329.
  34.  33
    Indiscernibility of Identicals.Pavel Tichý - 1986 - Studia Logica 45 (3):251 - 273.
    It is well known that the manner in which a definitely descriptive term contributes to the meaning of a sentence depends on the place the term occupies in the sentence. A distinction is accordingly drawn between ordinary contexts and contexts variously termed non-referential, intensional, oblique, or opaque. The aim of the present article is to offer a general account of the phenomenon, based on transparent intensional logic. It turns out that on this approach there is no need to say (as (...)
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  35.  32
    Indiscriminability as Indiscernibility by Default.Ariel Cohen - 2008 - Studia Logica 90 (3):369-383.
    Most solutions to the sorites reject its major premise, i.e. the quantified conditional . This rejection appears to imply a discrimination between two elements that are supposed to be indiscriminable. Thus, the puzzle of the sorites involves in a fundamental way the notion of indiscriminability. This paper analyzes this relation and formalizes it, in a way that makes the rejection of the major premise more palatable. The intuitive idea is that we consider two elements indiscriminable by default, i.e. unless we (...)
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  36.  13
    Indiscernibility and Identity in Probability Theory.Peter Roeper & Hugues Leblanc - 1990 - Notre Dame Journal of Formal Logic 32 (1):1-46.
  37. Quantum Indiscernibility Without Vague Identity.Joanna Odrowa˛Z. -Sypniewska - 2001 - Analysis 61 (1):65–69.
  38. Material Coincidence and the Indiscernibility Problem.Eric T. Olson - 2001 - Philosophical Quarterly 51 (204):337-355.
    It is often said that the same particles can simultaneously make up two or more material objects that differ in kind and in their mental, biological and other qualitative properties. Others wonder how objects made of the same parts in the same arrangement and surroundings could differ in these ways. I clarify this worry and show that attempts to dismiss or solve it miss its point. At most one can argue that it is a problem we can live with.
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  39.  50
    Danto on Artistic Indiscernibility, Interpretation and Relations.R. A. Goodrich - 1991 - British Journal of Aesthetics 31 (4):356-362.
  40.  12
    An Instance Ontology for Structures: Their Definition, Identity, and Indiscernibility.Donald W. Mertz - 2003 - Metaphysica: International Journal for Ontology and Metaphysics 4 (1):127-64.
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  41.  42
    Vagueness, Indiscernibility, and Pragmatics: Comments on Burns.Achille C. Varzi - 1995 - Southern Journal of Philosophy 33 (Supplement):49-62.
    In ‘Something to Do with Vagueness ...’, Linda Burns defends an analogy between the informational and the borderline-case variety of vagueness. She argues that the latter is in fact less extraordinary and less disastrous than people in the tradition of Michael Dummett and Crispin Wright have told us. However, her account involves presuppositions that cannot be taken for granted. Here is to take a closer look at some of these presuppositions and argue hat they may--when left unguarded--undermine much of Burns’ (...)
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  42.  10
    Bundles and Indiscernibility: A Reply to O'Leary-Hawthorne.W. F. Vallicella - 1997 - Analysis 57 (1):91-94.
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  43.  25
    Bundles, Indiscernibility and Triplication Problem.Sun Demirli - 2008 - Proceedings of the Xxii World Congress of Philosophy 17:33-40.
    The bundle theory, supposed as a theory concerning the internal constitution of individuals, is often conjoined with a constitutional approach to individuation entailing the thesis ‘no two individuals can share all their constituents’ (CIT). But then it runs afoul of Black’s duplication case. Here a new bundle theory, takingdistance relations between bundles to be a sufficient ground for their diversity, will be proposed. This version accommodates Black’s world. Nonetheless, there is a possible objection. Consider the ‘triplication case’—a world containing three (...)
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  44.  3
    Sensitivity, Indiscernibility and Knowledge.Keith Lehrer - 2000 - Philosophical Issues 10 (1):33-37.
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  45.  24
    Indiscernibility Principles.Richard Cartwright - 1979 - Midwest Studies in Philosophy 4 (1):293-306.
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  46.  27
    Identity, Individuality and Indiscernibility.Matteo Morganti - 2008 - Proceedings of the Xxii World Congress of Philosophy 15:167-173.
    This paper deals with the identity and individuality of material objects. In particular, the view that identity is derivative on the qualities of things, based on the endorsement of the Principle of the Identity of the Indiscernibles, is studied in detail. This provides what seems to be a much-needed unitary look at, and up-to-date critical analysis of, the vast literature on the Identity of the Indiscernibles. It is concluded that the ‘reductionist’ view, dating back to Quine and, earlier, to Leibniz, (...)
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  47.  5
    The Identity of Strong Indiscernibility.Horst Wessel - 1994 - Logic and Logical Philosophy 2 (5):117-134.
    The following considerations are to be seen in the framework of nontraditional theory of predication (NTP), which stems in its basic features from Sinowjew (cf. Sinowjew 1970, Sinowjew/Wessel 1975), and which is described in detail in Wessel 1989.
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  48.  37
    The Indiscernibility of Identicals and the Relativity of Identity.Douglas Odegard - 1978 - Philosophical Studies 33 (3):313 - 317.
  49.  16
    Nicholas of Cusa and Leibniz's Principle of Indiscernibility.Thomas P. McTighe - 1964 - Modern Schoolman 42 (1):33-46.
  50.  18
    Properties of Identity and Trivial Indiscernibility.Tim Pickavance - 2009 - Southwest Philosophy Review 25 (1):163-171.
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