18 found
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  1. The Logic of the Evidential Conditional.Eric Raidl, Andrea Iacona & Vincenzo Crupi - 2022 - Review of Symbolic Logic 15 (3):758-770.
    In some recent works, Crupi and Iacona have outlined an analysis of ‘if’ based on Chrysippus’ idea that a conditional holds whenever the negation of its consequent is incompatible with its antecedent. This paper presents a sound and complete system of conditional logic that accommodates their analysis. The soundness and completeness proofs that will be provided rely on a general method elaborated by Raidl, which applies to a wide range of systems of conditional logic.
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  2.  59
    Definable Conditionals.Eric Raidl - 2020 - Topoi 40 (1):87-105.
    The variably strict analysis of conditionals does not only largely dominate the philosophical literature, since its invention by Stalnaker and Lewis, it also found its way into linguistics and psychology. Yet, the shortcomings of Lewis–Stalnaker’s account initiated a plethora of modifications, such as non-vacuist conditionals, presuppositional indicatives, perfect conditionals, or other conditional constructions, for example: reason relations, difference-making conditionals, counterfactual dependency, or probabilistic relevance. Many of these new connectives can be treated as strengthened or weakened conditionals. They are definable conditionals. (...)
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  3.  53
    The Implicative Conditional.Eric Raidl & Gilberto Gomes - 2023 - Journal of Philosophical Logic 53 (1):1-47.
    This paper investigates the implicative conditional, a connective intended to describe the logical behavior of an empirically defined class of natural language conditionals, also named implicative conditionals, which excludes concessive and some other conditionals. The implicative conditional strengthens the strict conditional with the possibility of the antecedent and of the contradictory of the consequent. $${p\Rightarrow q}$$ p ⇒ q is thus defined as $${\lnot } \Diamond {(p \wedge \lnot q) \wedge } \Diamond {p \wedge } \Diamond {\lnot q}$$ ¬ ◊ (...)
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  4.  48
    Completeness for counter-doxa conditionals – using ranking semantics.Eric Raidl - 2019 - Review of Symbolic Logic 12 (4):861-891.
    Standard conditionals $\varphi > \psi$, by which I roughly mean variably strict conditionals à la Stalnaker and Lewis, are trivially true for impossible antecedents. This article investigates three modifications in a doxastic setting. For the neutral conditional, all impossible-antecedent conditionals are false, for the doxastic conditional they are only true if the consequent is absolutely necessary, and for the metaphysical conditional only if the consequent is ‘model-implied’ by the antecedent. I motivate these conditionals logically, and also doxastically by properties of (...)
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  5. An Axiomatic System for Concessive Conditionals.Eric Raidl, Andrea Iacona & Vincenzo Crupi - 2023 - Studia Logica 112 (1):343-363.
    According to the analysis of concessive conditionals suggested by Crupi and Iacona, a concessive conditional $$p{{\,\mathrm{\hookrightarrow }\,}}q$$ p ↪ q is adequately formalized as a conjunction of conditionals. This paper presents a sound and complete axiomatic system for concessive conditionals so understood. The soundness and completeness proofs that will be provided rely on a method that has been employed by Raidl, Iacona, and Crupi to prove the soundness and completeness of an analogous system for evidential conditionals.
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  6.  52
    Towards a logic for ‘because’.Eric Raidl & Hans Rott - 2024 - Philosophical Studies 181 (9):2247-2277.
    This paper explores the connective ‘because’, based on the idea that ‘_C_ because _A_’ implies the acceptance/truth of the antecedent _A_ as well as of the consequent _C_, and additionally that the antecedent makes a difference for the consequent. To capture this idea of difference-making a ‘relevantized’ version of the Ramsey Test for conditionals is employed that takes the antecedent to be relevant to the consequent in the following sense: a conditional is true/accepted in a state \(\sigma \) just in (...)
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  7.  57
    Bridging Ranking Theory and the Stability Theory of Belief.Eric Raidl & Niels Skovgaard-Olsen - 2017 - Journal of Philosophical Logic 46 (6):577-609.
    In this paper we compare Leitgeb’s stability theory of belief and Spohn’s ranking-theoretic account of belief. We discuss the two theories as solutions to the lottery paradox. To compare the two theories, we introduce a novel translation between ranking functions and probability functions. We draw some crucial consequences from this translation, in particular a new probabilistic belief notion. Based on this, we explore the logical relation between the two belief theories, showing that models of Leitgeb’s theory correspond to certain models (...)
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  8.  80
    Open-Minded Orthodox Bayesianism by Epsilon-Conditionalization.Eric Raidl - 2020 - British Journal for the Philosophy of Science 71 (1):139-176.
    Orthodox Bayesianism endorses revising by conditionalization. This paper investigates the zero-raising problem, or equivalently the certainty-dropping problem of orthodox Bayesianism: previously neglected possibilities remain neglected, although the new evidence might suggest otherwise. Yet, one may want to model open-minded agents, that is, agents capable of raising previously neglected possibilities. Different reasons can be given for open-mindedness, one of which is fallibilism. The paper proposes a family of open-minded propositional revisions depending on a parameter ϵ. The basic idea is this: first (...)
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  9.  14
    Neutralization, Lewis‘ Doctored Conditional, or Another Note on "A Connexive Conditional".Eric Raidl - 2023 - Logos and Episteme 14 (1):101-118.
    Günther recently suggested a 'new‘ conditional. This conditional is not new, as already remarked by Wansing and Omori. It is just David Lewis‘ forgotten alternative 'doctored‘ conditional and part of a larger class termed neutral conditionals. In this paper, I answer some questions raised by Wansing and Omori, concerning the motivation, the logic, the connexive flavor and contra-classicality of such neutralized conditionals. The main message being: Neutralizing a vacuist conditional avoids (some) paradoxes of strict implication, changes the logic essentially only (...)
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  10.  28
    (1 other version)Proof Systems for Super- Strict Implication.Guido Gherardi, Eugenio Orlandelli & Eric Raidl - 2024 - Studia Logica 112 (1):249-294.
    This paper studies proof systems for the logics of super-strict implication \(\textsf{ST2}\) – \(\textsf{ST5}\), which correspond to C.I. Lewis’ systems \(\textsf{S2}\) – \(\textsf{S5}\) freed of paradoxes of strict implication. First, Hilbert-style axiomatic systems are introduced and shown to be sound and complete by simulating \(\textsf{STn}\) in \(\textsf{Sn}\) and backsimulating \(\textsf{Sn}\) in \(\textsf{STn}\), respectively (for \({\textsf{n}} =2, \ldots, 5\) ). Next, \(\textsf{G3}\) -style labelled sequent calculi are investigated. It is shown that these calculi have the good structural properties that are distinctive (...)
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  11.  35
    Lewis’ Triviality for Quasi Probabilities.Eric Raidl - 2019 - Journal of Logic, Language and Information 28 (4):515-549.
    According to Stalnaker’s Thesis, the probability of a conditional is the conditional probability. Under some mild conditions, the thesis trivialises probabilities and conditionals, as initially shown by David Lewis. This article asks the following question: does still lead to triviality, if the probability function in is replaced by a probability-like function? The article considers plausibility functions, in the sense of Friedman and Halpern, which additionally mimic probabilistic additivity and conditionalisation. These quasi probabilities comprise Friedman–Halpern’s conditional plausibility spaces, as well as (...)
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  12.  27
    Quick Completeness for the Evidential Conditional.Eric Raidl - unknown
    Proves Completeness for the Evidential Conditional.
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  13.  27
    Threshold-Based Belief Change.Eric Raidl & Hans Rott - 2023 - Australasian Journal of Logic 20 (3):429-477.
    In this paper we study changes of beliefs in a ranking-theoretic setting using non-extremal implausibility thresholds for belief. We represent implausibilities as ranks and introduce natural rank changes subject to a minimal change criterion. We show that many of the traditional AGM postulates for revision and contraction are preserved, except for the postulate of Preservation which is invalid. The diagnosis for belief contraction is similar, but not exactly the same. We demonstrate that the one-shot versions of both revision and contraction (...)
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  14. A Falsificationist Account of Artificial Neural Networks.Oliver Buchholz & Eric Raidl - forthcoming - The British Journal for the Philosophy of Science.
    Machine learning operates at the intersection of statistics and computer science. This raises the question as to its underlying methodology. While much emphasis has been put on the close link between the process of learning from data and induction, the falsificationist component of machine learning has received minor attention. In this paper, we argue that the idea of falsification is central to the methodology of machine learning. It is commonly thought that machine learning algorithms infer general prediction rules from past (...)
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  15. Cheating at coin tossing.Eric Raidl - unknown
    Arguments for A "fair" coin has probability 1/2. There is no physical probability attached to the coin, we can cheat on each toss (by sufficient control). My aim: The coin toss is fine-grained deterministic, but coarsgrained random.
     
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  16.  46
    An Accuracy Argument in Favor of Ranking Theory.Eric Raidl & Wolfgang Spohn - 2020 - Journal of Philosophical Logic 49 (2):283-313.
    Fitelson and McCarthy have proposed an accuracy measure for confidence orders which favors probability measures and Dempster-Shafer belief functions as accounts of degrees of belief and excludes ranking functions. Their accuracy measure only penalizes mistakes in confidence comparisons. We propose an alternative accuracy measure that also rewards correct confidence comparisons. Thus we conform to both of William James’ maxims: “Believe truth! Shun error!” We combine the two maxims, penalties and rewards, into one criterion that we call prioritized accuracy optimization. That (...)
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  17.  27
    Epistemic-State Parallelism: Translating Between Probabilities and Ranks.Eric Raidl - 2019 - Erkenntnis 86 (1):209-236.
    This paper contributes to the investigation of the nature of the relation between probability theory and ranking theory. The paper aims at explaining the structural harmony between the laws of probability theory and those of ranking theory in a way that respects the foundational dualistic attitude developed by Spohn in The Laws of Belief. The paper argues that the so called atomic translation family satisfies the desiderata and does so in the ‘best’ possible way. On the one hand, the atomic (...)
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  18.  39
    Updating a progic.Eric Raidl - 2016 - Journal of Applied Logic 14:65-94.