16 found
Order:
  1. Epistemic Multilateral Logic.Luca Incurvati & Julian J. Schlöder - 2022 - Review of Symbolic Logic 15 (2):505-536.
    We present epistemic multilateral logic, a general logical framework for reasoning involving epistemic modality. Standard bilateral systems use propositional formulae marked with signs for assertion and rejection. Epistemic multilateral logic extends standard bilateral systems with a sign for the speech act of weak assertion (Incurvati and Schlöder 2019) and an operator for epistemic modality. We prove that epistemic multilateral logic is sound and complete with respect to the modal logic S5 modulo an appropriate translation. The logical framework developed provides the (...)
    Download  
     
    Export citation  
     
    Bookmark   15 citations  
  2. Weak Rejection.Luca Incurvati & Julian J. Schlöder - 2017 - Australasian Journal of Philosophy 95 (4):741-760.
    ABSTRACTLinguistic evidence supports the claim that certain, weak rejections are less specific than assertions. On the basis of this evidence, it has been argued that rejected sentences cannot be premisses and conclusions in inferences. We give examples of inferences with weakly rejected sentences as premisses and conclusions. We then propose a logic of weak rejection which accounts for the relevant phenomena and is motivated by principles of coherence in dialogue. We give a semantics for which this logic is sound and (...)
    Download  
     
    Export citation  
     
    Bookmark   40 citations  
  3. Update rules and semantic universals.Luca Incurvati & Giorgio Sbardolini - 2023 - Linguistics and Philosophy 46 (2):259-289.
    We discuss a well-known puzzle about the lexicalization of logical operators in natural language, in particular connectives and quantifiers. Of the many logically possible operators, only few appear in the lexicon of natural languages: the connectives in English, for example, are conjunction _and_, disjunction _or_, and negated disjunction _nor_; the lexical quantifiers are _all, some_ and _no_. The logically possible nand (negated conjunction) and Nall (negated universal) are not expressed by lexical entries in English, nor in any natural language. Moreover, (...)
    Download  
     
    Export citation  
     
    Bookmark   4 citations  
  4. The Varieties of Agnosticism.Filippo Ferrari & Luca Incurvati - 2021 - Philosophical Quarterly 72 (2):365-380.
    We provide a framework for understanding agnosticism. The framework accounts for the varieties of agnosticism while vindicating the unity of the phenomenon. This combination of unity and plurality is achieved by taking the varieties of agnosticism to be represented by several agnostic stances, all of which share a common core provided by what we call the minimal agnostic attitude. We illustrate the fruitfulness of the framework by showing how it can be applied to several philosophical debates. In particular, several philosophical (...)
    Download  
     
    Export citation  
     
    Bookmark   12 citations  
  5. Weak Assertion.Luca Incurvati & Julian J. Schlöder - 2019 - Philosophical Quarterly 69 (277):741-770.
    We present an inferentialist account of the epistemic modal operator might. Our starting point is the bilateralist programme. A bilateralist explains the operator not in terms of the speech act of rejection ; we explain the operator might in terms of weak assertion, a speech act whose existence we argue for on the basis of linguistic evidence. We show that our account of might provides a solution to certain well-known puzzles about the semantics of modal vocabulary whilst retaining classical logic. (...)
    Download  
     
    Export citation  
     
    Bookmark   23 citations  
  6. Epistemic Modals in Hypothetical Reasoning.Maria Aloni, Luca Incurvati & Julian J. Schlöder - 2023 - Erkenntnis 88 (8):3551-3581.
    Data involving epistemic modals suggest that some classically valid argument forms, such as _reductio_, are invalid in natural language reasoning as they lead to modal collapses. We adduce further data showing that the classical argument forms governing the existential quantifier are similarly defective, as they lead to a _de re–de dicto_ collapse. We observe a similar problem for disjunction. But if the classical argument forms for negation, disjunction and existential quantification are invalid, what are the correct forms that govern the (...)
    Download  
     
    Export citation  
     
    Bookmark   3 citations  
  7. Inferential Expressivism and the Negation Problem.Luca Incurvati & Julian J. Schlöder - forthcoming - Oxford Studies in Metaethics 16.
    We develop a novel solution to the negation version of the Frege-Geach problem by taking up recent insights from the bilateral programme in logic. Bilateralists derive the meaning of negation from a primitive *B-type* inconsistency involving the attitudes of assent and dissent. Some may demand an explanation of this inconsistency in simpler terms, but we argue that bilateralism’s assumptions are no less explanatory than those of *A-type* semantics that only require a single primitive attitude, but must stipulate inconsistency elsewhere. Based (...)
    Download  
     
    Export citation  
     
    Bookmark   13 citations  
  8. (1 other version)Inferential Deflationism.Luca Incurvati & Julian J. Schlöder - forthcoming - The Philosophical Review.
    Deflationists about truth hold that the function of the truth predicate is to enable us to make certain assertions we could not otherwise make. Pragmatists claim that the utility of negation lies in its role in registering incompatibility. The pragmatist insight about negation has been successfully incorporated into bilateral theories of content, which take the meaning of negation to be inferentially explained in terms of the speech act of rejection. We implement the deflationist insight in a bilateral theory by taking (...)
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  9. Meta-inferences and Supervaluationism.Luca Incurvati & Julian J. Schlöder - 2021 - Journal of Philosophical Logic 51 (6):1549-1582.
    Many classically valid meta-inferences fail in a standard supervaluationist framework. This allegedly prevents supervaluationism from offering an account of good deductive reasoning. We provide a proof system for supervaluationist logic which includes supervaluationistically acceptable versions of the classical meta-inferences. The proof system emerges naturally by thinking of truth as licensing assertion, falsity as licensing negative assertion and lack of truth-value as licensing rejection and weak assertion. Moreover, the proof system respects well-known criteria for the admissibility of inference rules. Thus, supervaluationists (...)
    Download  
     
    Export citation  
     
    Bookmark   3 citations  
  10. Metalogic and the Overgeneration Argument.Salvatore Florio & Luca Incurvati - 2019 - Mind 128 (511):761-793.
    A prominent objection against the logicality of second-order logic is the so-called Overgeneration Argument. However, it is far from clear how this argument is to be understood. In the first part of the article, we examine the argument and locate its main source, namely, the alleged entanglement of second-order logic and mathematics. We then identify various reasons why the entanglement may be thought to be problematic. In the second part of the article, we take a metatheoretic perspective on the matter. (...)
    Download  
     
    Export citation  
     
    Bookmark   3 citations  
  11. On Logical and Scientific Strength.Luca Incurvati & Carlo Nicolai - forthcoming - Erkenntnis:1-23.
    The notion of strength has featured prominently in recent debates about abductivism in the epistemology of logic. Following Williamson and Russell, we distinguish between logical and scientific strength and discuss the limits of the characterizations they employ. We then suggest understanding logical strength in terms of interpretability strength and scientific strength as a special case of logical strength. We present applications of the resulting notions to comparisons between logics in the traditional sense and mathematical theories.
    Download  
     
    Export citation  
     
    Bookmark   2 citations  
  12. (1 other version)Overgeneration in the higher infinite.Salvatore Florio & Luca Incurvati - 2021 - In Gil Sagi & Jack Woods (eds.), The Semantic Conception of Logic : Essays on Consequence, Invariance, and Meaning. New York, NY: Cambridge University Press.
    The Overgeneration Argument is a prominent objection against the model-theoretic account of logical consequence for second-order languages. In previous work we have offered a reconstruction of this argument which locates its source in the conflict between the neutrality of second-order logic and its alleged entanglement with mathematics. Some cases of this conflict concern small large cardinals. In this article, we show that in these cases the conflict can be resolved by moving from a set-theoretic implementation of the model-theoretic account to (...)
    Download  
     
    Export citation  
     
    Bookmark   2 citations  
  13. Maximally Consistent Sets of Instances of Naive Comprehension.Luca Incurvati & Julien Murzi - 2017 - Mind 126 (502).
    Paul Horwich (1990) once suggested restricting the T-Schema to the maximally consistent set of its instances. But Vann McGee (1992) proved that there are multiple incompatible such sets, none of which, given minimal assumptions, is recursively axiomatizable. The analogous view for set theory---that Naïve Comprehension should be restricted according to consistency maxims---has recently been defended by Laurence Goldstein (2006; 2013). It can be traced back to W.V.O. Quine(1951), who held that Naïve Comprehension embodies the only really intuitive conception of set (...)
    Download  
     
    Export citation  
     
    Bookmark   2 citations  
  14. The Evolution of Denial.Luca Incurvati & Giorgio Sbardolini - forthcoming - British Journal for the Philosophy of Science.
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  15. Rejection, denial and the democratic primaries.Luca Incurvati - 2022 - Think 21 (61):105-109.
    Starting from the case of insurance claims, I investigate the dynamics of acceptance, rejection and denial. I show that disagreement can be more varied than one might think. I illustrate this by looking at the Warren/Sanders controversy in the 2020 democratic primaries and at religious agnosticism.
    Download  
     
    Export citation  
     
    Bookmark  
  16. Everything, More or Less: A Defence of Generality Relativism, by J. P. Studd. [REVIEW]Luca Incurvati - 2021 - Mind 131 (524):1311-1321.
    The long-standing dispute between absolutists and relativists traditionally focuses on whether there are absolute truths, absolute epistemic norms, and absolute.
    Download  
     
    Export citation  
     
    Bookmark