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Peter Fritz [22]Peter Joseph Fritz [11]
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Peter Fritz
University of Oslo
  1. How Fine-Grained is Reality?Peter Fritz - 2017 - Filosofisk Supplement 13 (2):52-57.
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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. 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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  5. 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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  6. Operator Arguments Revisited.Juhani Yli-Vakkuri, John Hawthorne & Peter Fritz - forthcoming - Philosophical Studies.
    Certain passages in Kaplan’s ‘Demonstratives’ are often read as constituting an argument for the conclusion that the presence of a non-vacuous sentential operator associated with a certain parameter of sentential truth in a language requires the assertoric contents-cum-compositional semantic values of sentences in that language to vary in truth value with that parameter. Thus, for example, the non-vacuity of a temporal sentential operator ‘always’ would require some of its operands to have assertoric contents that have different truth values at different (...)
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  7. 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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  8. 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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  9.  15
    Propositional Quantification in Bimodal S5.Peter Fritz - forthcoming - Erkenntnis:1-11.
    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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  10. 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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  11.  15
    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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  12.  53
    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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  13.  29
    Higher-Order Contingentism, Part 2: Patterns of Indistinguishability.Peter Fritz - 2018 - 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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  14.  60
    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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  15.  25
    Can Modalities Save Naive Set Theory?Peter Fritz, Harvey Lederman, Tiankai Liu & Dana Scott - 2018 - Review of Symbolic Logic 11 (1):21-47.
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  16.  79
    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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  17.  33
    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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  18. 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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  19.  26
    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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  20. 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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  21.  12
    Review Symposium: Four Perspectives on Karl Rahner's Theological Aesthetics, by Peter Joseph Fritz, Followed by a Response From the Author. [REVIEW]Judith Wolfe, Gesa Thiessen, Robert Masson, Mark F. Fischer & Peter Joseph Fritz - 2017 - Philosophy and Theology 29 (2):485-506.
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  22.  4
    Jean‐Luc Marion and the Catholic Sublime.Peter Joseph Fritz - 2018 - Heythrop Journal 59 (2):187-200.
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  23.  4
    Speculative Realism and Theology – or, Faithless Fideism.Peter Joseph Fritz - 2018 - Heythrop Journal 59 (2):290-294.
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  24.  5
    The Phenomenology of Love & Reading. By Cassandra Falke. Pp. Viii, 177, London/NY, Bloomsbury, 2017, $110.00. [REVIEW]Peter Fritz - 2018 - Heythrop Journal 59 (1):140-140.
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  25.  26
    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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  26.  17
    “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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  27.  12
    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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  28.  9
    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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  29.  1
    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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  30.  35
    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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