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  1. The Inextricable Link Between Conditionals and Logical Consequence.Matheus Silva - manuscript
    There is a profound, but frequently ignored, relationship between the classical conception of logical consequence and the material implication. The first repeats the patterns of the latter, but with a wider modal reach. This relationship suggests that there should be also a connection between the notion of logical consequence and the conditional connective of any given logical system. This implies, among other things, that it is incoherent to propose alternatives to the material implication while maintaining the classical conception of logical (...)
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  • Subjunctive Conditionals Are Material.Matheus Silva - manuscript
    The material account claims that indicative conditionals are material. However, the conventional wisdom even among material account enthusiasts is that the material account cannot be extended to subjunctive conditionals. There are mainly three reasons that motivate this consensus: (1) the belief that if subjunctives were material, most subjunctive conditionals would be vacuously true, which is implausible; (2) its inconsistency with Adam pairs, which suggest that indicative and subjunctive conditionals have different truth conditions; and (3) the belief that it is an (...)
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  • Indicative Conditionals in Objective Contexts.Vít Punčochář & Christopher Gauker - 2020 - Theoria 86 (5):651-687.
    A conversation can be conceived as aiming to circumscribe a set of possibilities that are relevant to the goals of the conversation. This set of possibilities may be conceived as determined by the goals and objective circumstances of the interlocutors and not by their propositional attitudes. An indicative conditional can be conceived as circumscribing a set of possibilities that have a certain property: If the set of relevant possibilities is subsequently restricted to one in which the antecedent holds, then it (...)
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  • The counterfactual direct argument.Simon Goldstein - 2020 - Linguistics and Philosophy 43 (2):193-232.
    Many have accepted that ordinary counterfactuals and might counterfactuals are duals. In this paper, I show that this thesis leads to paradoxical results when combined with a few different unorthodox yet increasingly popular theses, including the thesis that counterfactuals are strict conditionals. Given Duality and several other theses, we can quickly infer the validity of another paradoxical principle, ‘The Counterfactual Direct Argument’, which says that ‘A> ’ entails ‘A> ’. First, I provide a collapse theorem for the ‘counterfactual direct argument’. (...)
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  • Epistemic Conditionals and Conditional Epistemics.Anthony S. Gillies - 2004 - Noûs 38 (4):585–616.
  • Conditionals Are Material: The Positive Arguments.Adam Rieger - 2013 - Synthese 190 (15):3161-3174.
    A number of papers have argued in favour of the material account of indicative conditionals, but typically they either concentrate on defending the account from the charge that it has counterintuitive consequences, or else focus on some particular positive argument in favour of the theory. In this paper, I survey the various positive arguments that can be given, presenting simple versions where possible and showing the connections between them. I conclude with some methodological considerations.
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  • Vann McGee's Counterexample to Modus Ponens.Christian Piller - 1996 - Philosophical Studies 82 (1):27 - 54.
  • Towards a Pragmatic Theory of 'If'.Stephen J. Barker - 1995 - Philosophical Studies 79 (2):185 - 211.
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  • The Full Theory of Conditional Elements: Enumerating, Exemplifying, and Evaluating Each of the Eight Conditional Elements.Joseph S. Fulda - 2010 - Acta Analytica 25 (4):459-477.
    This paper presents a unified, more-or-less complete, and largely pragmatic theory of indicative conditionals as they occur in natural language, which is entirely truth-functional and does not involve probability. It includes material implication as a special—and the most important—case, but not as the only case. The theory of conditional elements, as we term it, treats if-statements analogously to the more familiar and less controversial other truth-functional compounds, such as conjunction and disjunction.
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