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Peter Fritz [37]Peter Joseph Fritz [23]
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Peter Fritz
Australian Catholic University
  1. Higher-Order Metaphysics: An Introduction.Peter Fritz & Nicholas K. Jones - forthcoming - In Peter Fritz & Nicholas K. Jones (eds.), Higher-Order Metaphysics. Oxford University Press.
    This chapter provides an introduction to higher-order metaphysics as well as to the contributions to this volume. We discuss five topics, corresponding to the five parts of this volume, and summarize the contributions to each part. First, we motivate the usefulness of higher-order quantification in metaphysics using a number of examples, and discuss the question of how such quantifiers should be interpreted. We provide a brief introduction to the most common forms of higher-order logics used in metaphysics, and indicate a (...)
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  2. Counting Incompossibles.Peter Fritz & Jeremy Goodman - 2017 - Mind 126 (504):1063–1108.
    We often speak as if there are merely possible people—for example, when we make such claims as that most possible people are never going to be born. Yet most metaphysicians deny that anything is both possibly a person and never born. Since our unreflective talk of merely possible people serves to draw non-trivial distinctions, these metaphysicians owe us some paraphrase by which we can draw those distinctions without committing ourselves to there being merely possible people. We show that such paraphrases (...)
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  3. Higher-Order Contingentism, Part 1: Closure and Generation.Peter Fritz & Jeremy Goodman - 2016 - Journal of Philosophical Logic 45 (6):645-695.
    This paper is a study of higher-order contingentism – the view, roughly, that it is contingent what properties and propositions there are. We explore the motivations for this view and various ways in which it might be developed, synthesizing and expanding on work by Kit Fine, Robert Stalnaker, and Timothy Williamson. Special attention is paid to the question of whether the view makes sense by its own lights, or whether articulating the view requires drawing distinctions among possibilities that, according to (...)
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  4. Closed Structure.Peter Fritz, Harvey Lederman & Gabriel Uzquiano - 2021 - Journal of Philosophical Logic 50 (6):1249-1291.
    According to the structured theory of propositions, if two sentences express the same proposition, then they have the same syntactic structure, with corresponding syntactic constituents expressing the same entities. A number of philosophers have recently focused attention on a powerful argument against this theory, based on a result by Bertrand Russell, which shows that the theory of structured propositions is inconsistent in higher order-logic. This paper explores a response to this argument, which involves restricting the scope of the claim that (...)
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  5. Ground and Grain.Peter Fritz - 2021 - Philosophy and Phenomenological Research 105 (2):299-330.
    Current views of metaphysical ground suggest that a true conjunction is immediately grounded in its conjuncts, and only its conjuncts. Similar principles are suggested for disjunction and universal quantification. Here, it is shown that these principles are jointly inconsistent: They require that there is a distinct truth for any plurality of truths. By a variant of Cantor’s Theorem, such a fine-grained individuation of truths is inconsistent. This shows that the notion of grounding is either not in good standing, or that (...)
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  6. Higher-order Metaphysics.Peter Fritz & Nicholas K. Jones (eds.) - forthcoming - Oxford University Press.
     
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  7. A logic for epistemic two-dimensional semantics.Peter Fritz - 2013 - Synthese 190 (10):1753-1770.
    Epistemic two-dimensional semantics is a theory in the philosophy of language that provides an account of meaning which is sensitive to the distinction between necessity and apriority. While this theory is usually presented in an informal manner, I take some steps in formalizing it in this paper. To do so, I define a semantics for a propositional modal logic with operators for the modalities of necessity, actuality, and apriority that captures the relevant ideas of epistemic two-dimensional semantics. I also describe (...)
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  8. Structure by proxy, with an application to grounding.Peter Fritz - 2019 - Synthese 198 (7):6045-6063.
    An argument going back to Russell shows that the view that propositions are structured is inconsistent in standard type theories. Here, it is shown that such type theories may nevertheless provide entities which can serve as proxies for structured propositions. As an illustration, such proxies are applied to the case of grounding, as standard views of grounding require a degree of propositional structure which suffices for a version of Russell’s argument. While this application solves some of the problems grounding faces, (...)
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  9. What is the correct logic of necessity, actuality and apriority?Peter Fritz - 2014 - Review of Symbolic Logic 7 (3):385-414.
    This paper is concerned with a propositional modal logic with operators for necessity, actuality and apriority. The logic is characterized by a class of relational structures defined according to ideas of epistemic two-dimensional semantics, and can therefore be seen as formalizing the relations between necessity, actuality and apriority according to epistemic two-dimensional semantics. We can ask whether this logic is correct, in the sense that its theorems are all and only the informally valid formulas. This paper gives outlines of two (...)
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  10. Higher-Order Contingentism, Part 3: Expressive Limitations.Peter Fritz - 2018 - Journal of Philosophical Logic 47 (4):649-671.
    Two expressive limitations of an infinitary higher-order modal language interpreted on models for higher-order contingentism – the thesis that it is contingent what propositions, properties and relations there are – are established: First, the inexpressibility of certain relations, which leads to the fact that certain model-theoretic existence conditions for relations cannot equivalently be reformulated in terms of being expressible in such a language. Second, the inexpressibility of certain modalized cardinality claims, which shows that in such a language, higher-order contingentists cannot (...)
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  11. Propositional Contingentism.Peter Fritz - 2016 - Review of Symbolic Logic 9 (1):123-142.
    According to propositional contingentism, it is contingent what propositions there are. This paper presents two ways of modeling contingency in what propositions there are using two classes of possible worlds models. The two classes of models are shown to be equivalent as models of contingency in what propositions there are, although they differ as to which other aspects of reality they represent. These constructions are based on recent work by Robert Stalnaker; the aim of this paper is to explain, expand, (...)
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  12. Higher-Order Contingentism, Part 2: Patterns of Indistinguishability.Peter Fritz - 2017 - Journal of Philosophical Logic 47 (3):407-418.
    The models of contingency in what propositions, properties and relations there are developed in Part 1 are related to models of contingency in what propositions there are due to Robert Stalnaker. It is shown that some but not all of the classes of models of Part 1 agree with Stalnaker’s models concerning the patterns of contingency in what propositions there are they admit. Further structural connections between the two kinds of models are explored.
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  13. Operator arguments revisited.Juhani Yli-Vakkuri, John Hawthorne & Peter Fritz - 2019 - Philosophical Studies 176 (11):2933-2959.
    Certain passages in Kaplan’s ‘Demonstratives’ are often taken to show that non-vacuous sentential operators associated with a certain parameter of sentential truth require a corresponding relativism concerning assertoric contents: namely, their truth values also must vary with that parameter. Thus, for example, the non-vacuity of a temporal sentential operator ‘always’ would require some of its operands to have contents that have different truth values at different times. While making no claims about Kaplan’s intentions, we provide several reconstructions of how such (...)
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  14. Operands and Instances.Peter Fritz - 2023 - Review of Symbolic Logic 16 (1):188-209.
    Can conjunctive propositions be identical without their conjuncts being identical? Can universally quantified propositions be identical without their instances being identical? On a common conception of propositions, on which they inherit the logical structure of the sentences which express them, the answer is negative both times. Here, it will be shown that such a negative answer to both questions is inconsistent, assuming a standard type-theoretic formalization of theorizing about propositions. The result is not specific to conjunction and universal quantification, but (...)
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  15. Propositional Quantification in Bimodal S5.Peter Fritz - 2020 - Erkenntnis 85 (2):455-465.
    Propositional quantifiers are added to a propositional modal language with two modal operators. The resulting language is interpreted over so-called products of Kripke frames whose accessibility relations are equivalence relations, letting propositional quantifiers range over the powerset of the set of worlds of the frame. It is first shown that full second-order logic can be recursively embedded in the resulting logic, which entails that the two logics are recursively isomorphic. The embedding is then extended to all sublogics containing the logic (...)
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  16. On higher-order logical grounds.Peter Fritz - 2020 - Analysis 80 (4):656-666.
    Existential claims are widely held to be grounded in their true instances. However, this principle is shown to be problematic by arguments due to Kit Fine. Stephan Krämer has given an especially simple form of such an argument using propositional quantifiers. This note shows that even if a schematic principle of existential grounds for propositional quantifiers has to be restricted, this does not immediately apply to a corresponding non-schematic principle in higher-order logic.
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  17. Modal Ontology and Generalized Quantifiers.Peter Fritz - 2013 - Journal of Philosophical Logic 42 (4):643-678.
    Timothy Williamson has argued that in the debate on modal ontology, the familiar distinction between actualism and possibilism should be replaced by a distinction between positions he calls contingentism and necessitism. He has also argued in favor of necessitism, using results on quantified modal logic with plurally interpreted second-order quantifiers showing that necessitists can draw distinctions contingentists cannot draw. Some of these results are similar to well-known results on the relative expressivity of quantified modal logics with so-called inner and outer (...)
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  18. How Fine-Grained is Reality?Peter Fritz - 2017 - Filosofisk Supplement 13 (2):52-57.
  19. First-order modal logic in the necessary framework of objects.Peter Fritz - 2016 - Canadian Journal of Philosophy 46 (4-5):584-609.
    I consider the first-order modal logic which counts as valid those sentences which are true on every interpretation of the non-logical constants. Based on the assumptions that it is necessary what individuals there are and that it is necessary which propositions are necessary, Timothy Williamson has tentatively suggested an argument for the claim that this logic is determined by a possible world structure consisting of an infinite set of individuals and an infinite set of worlds. He notes that only the (...)
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  20. On Stalnaker’s Simple Theory of Propositions.Peter Fritz - 2020 - Journal of Philosophical Logic 50 (1):1-31.
    Robert Stalnaker recently proposed a simple theory of propositions using the notion of a set of propositions being consistent, and conjectured that this theory is equivalent to the claim that propositions form a complete atomic Boolean algebra. This paper clarifies and confirms this conjecture. Stalnaker also noted that some of the principles of his theory may be given up, depending on the intended notion of proposition. This paper therefore also investigates weakened constraints on consistency and the corresponding classes of Boolean (...)
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  21.  86
    Counterfactuals and Propositional Contingentism.Peter Fritz & Jeremy Goodman - 2017 - Review of Symbolic Logic 10 (3):509-529.
    This article explores the connection between two theses: the principle of conditional excluded middle for the counterfactual conditional, and the claim that it is a contingent matter which (coarse grained) propositions there are. Both theses enjoy wide support, and have been defended at length by Robert Stalnaker. We will argue that, given plausible background assumptions, these two principles are incompatible, provided that conditional excluded middle is understood in a certain modalized way. We then show that some (although not all) arguments (...)
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  22.  85
    Logics for propositional contingentism.Peter Fritz - 2017 - Review of Symbolic Logic 10 (2):203-236.
    Robert Stalnaker has recently advocated propositional contingentism, the claim that it is contingent what propositions there are. He has proposed a philosophical theory of contingency in what propositions there are and sketched a possible worlds model theory for it. In this paper, such models are used to interpret two propositional modal languages: one containing an existential propositional quantifier, and one containing an existential propositional operator. It is shown that the resulting logic containing an existential quantifier is not recursively axiomatizable, as (...)
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  23. Standard State Space Models of Unawareness.Peter Fritz & Harvey Lederman - 2015 - Theoretical Aspects of Rationality and Knowledge 15.
    The impossibility theorem of Dekel, Lipman and Rustichini has been thought to demonstrate that standard state-space models cannot be used to represent unawareness. We first show that Dekel, Lipman and Rustichini do not establish this claim. We then distinguish three notions of awareness, and argue that although one of them may not be adequately modeled using standard state spaces, there is no reason to think that standard state spaces cannot provide models of the other two notions. In fact, standard space (...)
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  24. Appendix to Juhani Yli-Vakkuri’s ‘Epistemicism and Modality’.Peter Fritz - 2016 - Canadian Journal of Philosophy 46 (4-5):836-838.
    A formal result is proved which is used in Juhani Yli-Vakkuri’s ‘Epistemicism and Modality’ to argue that certain two-dimensional possible world models are inadequate for a language with operators for ‘necessarily’, ‘actually’, and ‘definitely’.
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  25.  98
    Being Somehow Without (Possibly) Being Something.Peter Fritz - 2023 - Mind 132 (526):348-371.
    Contingentists—who hold that it is contingent what there is—are divided on the claim that having a property or standing in a relation requires being something. This claim can be formulated as a natural schematic principle of higher-order modal logic. On this formulation, I argue that contingentists who are also higher-order contingentists—and so hold that it is contingent what propositions, properties and relations there are—should reject the claim. Moreover, I argue that given higher-order contingentism, having a property or standing in a (...)
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  26.  16
    Propositional Potentialism.Peter Fritz - 2023 - In Federico L. G. Faroldi & Frederik Van De Putte (eds.), Kit Fine on Truthmakers, Relevance, and Non-classical Logic. Springer Verlag. pp. 469-502.
    A significant part of Kit Fine’s work in metaphysics assumes a very fine-grained individuation of propositions and facts. This article discusses how such fine distinctions lead to inconsistency in ways which are similar to the inconsistency of naive set comprehension. The case of constraints on individuation arising from a relation of metaphysical ground will be considered in particular. Fine has developed a view of sets in response to the inconsistency of naive set comprehension according to which sets are postulated, and (...)
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  27.  61
    Axiomatizability of Propositionally Quantified Modal Logics on Relational Frames.Peter Fritz - forthcoming - Journal of Symbolic Logic:1-36.
    Propositional modal logic over relational frames is naturally extended with propositional quantifiers by letting them range over arbitrary sets of worlds of the relevant frame. This is also known as second-order propositional modal logic. The propositionally quantified modal logic of a class of relational frames is often not axiomatizable, although there are known exceptions, most notably the case of frames validating the strong modal logic$\mathrm {S5}$. Here, we develop new general methods with which many of the open questions in this (...)
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  28. Post Completeness in Congruential Modal Logics.Peter Fritz - 2016 - In Lev Beklemishev, Stéphane Demri & András Máté (eds.), Advances in Modal Logic, Volume 11. College Publications. pp. 288-301.
    Well-known results due to David Makinson show that there are exactly two Post complete normal modal logics, that in both of them, the modal operator is truth-functional, and that every consistent normal modal logic can be extended to at least one of them. Lloyd Humberstone has recently shown that a natural analog of this result in congruential modal logics fails, by showing that not every congruential modal logic can be extended to one in which the modal operator is truth-functional. As (...)
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  29. Can modalities save naive set theory?Peter Fritz, Harvey Lederman, Tiankai Liu & Dana Scott - 2018 - Review of Symbolic Logic 11 (1):21-47.
  30.  32
    Black holes and revelations: Michel Henry and jean‐luc Marion on the aesthetics of the invisible.Peter Joseph Fritz - 2009 - Modern Theology 25 (3):415-440.
    This essay examines how Michel Henry's and Jean‐Luc Marion's continuation of phenomenology's turn to the invisible relates to painting, aesthetics, and theology. First, it discusses Henry and Marion's redefinition of phenomenality. Second, it explores Henry's “Kandinskian” description of abstract painting as expressing “Life.” Third, it explicates Marion's “Rothkoian” rehabilitation of the idol and renewed zeal for the icon—both phenomena exemplify “givenness.” Fourth, it unpacks my thesis: Henry's phenomenology, theologically applied, exercises an inadequate Kantian apophasis, characterized by a sublime sacrifice of (...)
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  31.  5
    Review Essay: Renewing Theology: Ignatian Spirituality and Karl Rahner, Ignacio Ellacuría, and Pope Francisby J. Matthew Ashley in advance.Peter Joseph Fritz - forthcoming - Philosophy and Theology.
    J. Matthew Ashley’s Renewing Theology compellingly argues that academic theology needs renewal by way of a “living circulation” with spirituality. The latter may be an animating force for the former, assuring that theology, even in its academic form, arises from concrete experiential encounter with God. Ashley rec­ommends Ignatian spirituality as a tradition distinctively suited to renewing theology in late modernity, and offers detailed accounts of Karl Rahner’s, Ignacio Ellacuría’s, and Pope Francis’s diverse theological appropriations of Ignatian spirituality to substantiate his (...)
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  32. Matrices and Modalities: On the Logic of Two-Dimensional Semantics.Peter Fritz - manuscript
    Two-dimensional semantics is a theory in the philosophy of language that provides an account of meaning which is sensitive to the distinction between necessity and apriority. Usually, this theory is presented in an informal manner. In this thesis, I take first steps in formalizing it, and use the formalization to present some considerations in favor of two-dimensional semantics. To do so, I define a semantics for a propositional modal logic with operators for the modalities of necessity, actuality, and apriority that (...)
     
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  33. Belief Revision in Dynamic Epistemic Logic and Ranking Theory.Peter Fritz - manuscript
    I want to look at recent developments of representing AGM-style belief revision in dynamic epistemic logics and the options for doing something similar for ranking theory. Formally, my aim will be modest: I will define a version of basic dynamic doxastic logic using ranking functions as the semantics. I will show why formalizing ranking theory this way is useful for the ranking theorist first by showing how it enables one to compare ranking theory more easily with other approaches to belief (...)
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  34.  27
    Between Center and Periphery.Peter Joseph Fritz - 2012 - Philosophy and Theology 24 (2):297-311.
    Rahner's Mariology and theology of the saints exemplify his respect for the universality of the Catholic ethos. The article’s three parts substantiate this claim. First, it analyzes Rahner's placement of Mary outside his theology's center, while he resists marginalizing her. This analysis involves contrasting Rahner with Hans Urs von Balthasar. Second, it reads Rahner's theology of Mary's Assumption as an exercise in fundamental-eschatological theology. He takes a similar approach in his theology of the saints. Third, it considers Rahner's thoughts on (...)
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  35.  3
    Between Center and Periphery.Peter Joseph Fritz - 2012 - Philosophy and Theology 24 (2):297-311.
    Rahner's Mariology and theology of the saints exemplify his respect for the universality of the Catholic ethos. The article’s three parts substantiate this claim. First, it analyzes Rahner's placement of Mary outside his theology's center, while he resists marginalizing her. This analysis involves contrasting Rahner with Hans Urs von Balthasar. Second, it reads Rahner's theology of Mary's Assumption as an exercise in fundamental-eschatological theology. He takes a similar approach in his theology of the saints. Third, it considers Rahner's thoughts on (...)
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  36.  37
    I Am, of Course, No Prophet.Peter Joseph Fritz - 2011 - Philosophy and Theology 23 (2):317-332.
    This article argues that Karl Rahner’s theme of “eschatological ignorance” should be retrieved to facilitate and to fortify the enactment of Catholic theology’s prophetic commitments in a U.S. context. First, the article presents and defends Rahner’s famous distinction between eschatology and apocalyptic. Second, it characterizes Rahner’s distinction as representative of his conviction of a need for docta ignorantia futuri, which stems from his theology of God as Absolute Mystery, and which, though Rahner recommends it to twentieth-century Europeans, seems particularly well (...)
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  37.  4
    I Am, of Course, No Prophet.Peter Joseph Fritz - 2011 - Philosophy and Theology 23 (2):317-332.
    This article argues that Karl Rahner’s theme of “eschatological ignorance” should be retrieved to facilitate and to fortify the enactment of Catholic theology’s prophetic commitments in a U.S. context. First, the article presents and defends Rahner’s famous distinction between eschatology and apocalyptic. Second, it characterizes Rahner’s distinction as representative of his conviction of a need for docta ignorantia futuri, which stems from his theology of God as Absolute Mystery, and which, though Rahner recommends it to twentieth-century Europeans, seems particularly well (...)
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  38. Intensional type theory for higher-order contingentism.Peter Fritz - 2015 - Dissertation, University of Oxford
    Things could have been different, but could it also have been different what things there are? It is natural to think so, since I could have failed to be born, and it is natural to think that I would then not have been anything. But what about entities like propositions, properties and relations? Had I not been anything, would there have been the property of being me? In this thesis, I formally develop and assess views according to which it is (...)
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  39.  12
    Jean‐Luc Marion and the Catholic Sublime.Peter Joseph Fritz - 2018 - Heythrop Journal 59 (2):187-200.
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  40.  45
    On the V(I)Erge: Jean‐Luc Nancy, Christianity, and Incompletion.Peter Joseph Fritz - 2014 - Heythrop Journal 55 (4):620-634.
    This article explores how Jean-Luc Nancy attempts to gain critical traction on Christianity by proscribing thinking of completion. First, it describes Nancy's deconstruction of Christianity as stemming from his aesthetic redirection of Heidegger's thinking of finitude. Second, it further details Nancy's noetic declension of Heidegger via Kant and Lyotard, where the imagination and aesthetic communication are deemed impossible. Third, it examines Nancy's treatment of paintings of the Virgin Mary who, for Nancy, exemplifies his brand of incompletion. Nancy's work on Mary (...)
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  41.  14
    Speculative Realism and Theology – or, Faithless Fideism.Peter Joseph Fritz - 2018 - Heythrop Journal 59 (2):290-294.
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  42.  60
    The Foundations of Modality: From Propositions to Possible Worlds.Peter Fritz - 2023 - Oxford: Oxford University Press.
    This book develops an argument for a foundational theory of modality using higher-order logic. The use of higher-order logic in metaphysics is motivated, and a particular higher-order logic is introduced. Fine-grained theories of propositional individuation are shown to be problematic, and a course-grained theory of propositional individuation is defended. On the basis of this theory, it is argued that the metaphysical necessities can be delineated using purely logical terms; by adding an actuality operator, it is shown that the logic of (...)
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  43. The Boundary Stones of Thought: An Essay in the Philosophy of Logic, by Ian Rumfitt. [REVIEW]Peter Fritz - 2018 - Mind 127 (505):265-276.
    In his book The Boundary Stones of Thought, Ian Rumfitt considers five arguments in favour of intuitionistic logic over classical logic. Two of these arguments are based on reflections concerning the meaning of statements in general, due to Michael Dummett and John McDowell. The remaining three are more specific, concerning statements about the infinite and the infinitesimal, statements involving vague terms, and statements about sets.Rumfitt is sympathetic to the premisses of many of these arguments, and takes some of them to (...)
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  44. Everything, More or Less: A Defence of Generality Relativism. [REVIEW]Peter Fritz - 2021 - Philosophical Review 130 (4):623-627.
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  45.  51
    Humanism and the Death of God: Searching for the Good After Darwin, Marx, and Nietzsche. By Ronald E. Osborn. Pp. 256. Oxford, Oxford University Press, 2017, £58.00. [REVIEW]Peter Joseph Fritz - 2020 - Heythrop Journal 61 (2):364-365.
    Humanism and the Death of God is a critical exploration of secular humanism and its discontents. Through close readings of three exemplary nineteenth-century philosophical naturalists or materialists, who perhaps more than anyone set the stage for our contemporary quandaries when it comes to questions of human nature and moral obligation, Ronald E. Osborn argues that "the death of God" ultimately tends toward the death of liberal understandings of the human as well. Any fully persuasive defense of humanistic values - including (...)
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  46.  3
    Another Kind of Normal: Ethical Life II. By GrahamWard. Oxford: Oxford University Press, 2022. Pp. xiii, 401. £90.00. [REVIEW]Peter Joseph Fritz - 2023 - Heythrop Journal 64 (2):268-269.
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    Givenness & Revelation. By Jean‐Luc Marion. Translated by Stephen E. Lewis. Foreword by Ramona Fotiade and David Jasper. Pp. xix, 137, Oxford University Press, 2016, £25.00/$40.00. [REVIEW]Peter Fritz - 2017 - Heythrop Journal 58 (4):741-742.
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  48.  8
    Heidegger and Theology. By Judith Wolfe. Pp. viii, 242, Bloomsbury T&T Clark, 2014, £16.99/$29.95. [REVIEW]Peter Joseph Fritz - 2017 - Heythrop Journal 58 (4):727-728.
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  49.  5
    Heidegger’s Poietic Writings: From Contributions to Philosophy to The Event. By DanielaVallega‐Neu. Pp. xx, 205. Bloomington, Indiana University Press, 2018, $39.00. [REVIEW]Peter Joseph Fritz - 2021 - Heythrop Journal 62 (1):161-162.
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  50.  5
    Jacques Derrida and the Challenge of History. By SeanGaston. Pp. vii, 339, London, Rowman & Littlefield, 2019, £31.00/$39.95. [REVIEW]Peter Joseph Fritz - 2021 - Heythrop Journal 62 (1):202-203.
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