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  1. Negative Predication and Distinctness.Bartosz Więckowski - 2023 - Logica Universalis 17 (1):103-138.
    It is argued that the intuitionistic conception of negation as implication of absurdity is inadequate for the proof-theoretic semantic analysis of negative predication and distinctness. Instead, it is suggested to construe negative predication proof-theoretically as subatomic derivation failure, and to define distinctness—understood as a qualified notion—by appeal to negative predication. This proposal is elaborated in terms of intuitionistic bipredicational subatomic natural deduction systems. It is shown that derivations in these systems normalize and that normal derivations have the subexpression (incl. subformula) (...)
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  • The Logical Problem of the Trinity and the Strong Theory of Relative Identity.Daniel Molto - 2017 - Sophia 56 (2):227-245.
    In this paper, I consider the philosophical consequences of one tradition in Trinitarian theology, which emphasizes that each of the persons of the Trinity is wholly God. I pay special attention to Leftow’s claim that the persons of the Godhead must be divine in the same sense of the word ‘divine’ as the Godhead itself. I argue that the existing philosophical account of the Trinity which best captures this view is what I have termed the ‘Strong Theory of Relative Identity,’ (...)
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  • Relativizing Identity.Daniel Molto - 2019 - Thought: A Journal of Philosophy 8 (4):260-269.
    In this paper, I defend Peter Geach’s theory of Relative Identity against the charge that it cannot make sense of basic semantic notions.
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  • Subsumption and relative identity.P. Garbacz - 2004 - Axiomathes 14 (4):341-360.
    This paper is a modification of Nicola Guarino and Christopher Welty's conception of the subsumption relation. Guarino and Welty require that that whether one property may subsume the other should depend on the modal metaproperties of those properties. I argue that the part of their account that concerns the metaproperty carrying a criterion of identity is essentially flawed. Subsequently, I propose to constrain the subsumption relation not, as Guarino and Welty require, by means of incompatible criteria of absolute identity but (...)
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  • Relative identity, singular reference, and the Incarnation : a response to Le Poidevin.Christopher Hughes Conn - 2012 - Religious Studies 48 (1):61-82.
    In this article I object to Le Poidevin's contention that relative identity is beset with an infinite metaphysical regress. I argue, first, that since Le Poidevin's regress argument presupposes a direct theory of reference, it does not apply to accounts of relative identity which reject this account of reference. I argue, second, that Le Poidevin's regress is not inevitable for one who accepts a direct account of reference, since it does not apply to the formal logic of relative identity which (...)
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  • Cardinality and Identity.Massimiliano Carrara & Elisabetta Sacchi - 2007 - Journal of Philosophical Logic 36 (5):539-556.
    P.T. Geach has maintained (see, e.g., Geach (1967/1968)) that identity (as well as dissimilarity) is always relative to a general term. According to him, the notion of absolute identity has to be abandoned and replaced by a multiplicity of relative identity relations for which Leibniz's Law - which says that if two objects are identical they have the same properties - does not hold. For Geach relative identity is at least as good as Frege's cardinality thesis which he takes to (...)
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  • Relative identity.Harry Deutsch - 2008 - Stanford Encyclopedia of Philosophy.
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