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  1. added 2020-03-15
    Necessary and Sufficient Conditions.Michael Shaffer - forthcoming - In Introduction to Logic. Rebus.
  2. added 2020-03-13
    An Even Simpler Defense of Material Implication.Matheus Silva - manuscript
    Lee Archie argued that if any truth values are consistently assigned to a natural language conditional to which Modus Ponens and Modus Tollens are valid argumentative forms, and affirming the consequent is an invalid argumentative form, this conditional would have the same truth conditions than a material implication. This argument is simple and it requires few assumptions that are relatively uncontroversial. We show that it is possible to extend Archie’s argument to three-valued logics and five-valued logics and vindicate a slightly (...)
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  3. added 2020-03-10
    Difference-Making Conditionals and the Relevant Ramsey Test.Hans Rott - forthcoming - Review of Symbolic Logic:1-39.
    This paper explores conditionals expressing that the antecedent makes a difference for the consequent. A 'relevantised' version of the Ramsey Test for conditionals is employed in the context of the classical theory of belief revision. The idea of this test is that the antecedent is relevant to the consequent in the following sense: a conditional is accepted just in case (i) the consequent is accepted if the belief state is revised by the antecedent and (ii) the consequent fails to be (...)
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  4. added 2020-02-17
    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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  5. added 2020-02-10
    Hiddleston’s Causal Modeling Semantics and the Distinction Between Forward-Tracking and Backtracking Counterfactuals.Kok Yong Lee - 2017 - Studies in Logic 10 (1):79-94.
    Some cases show that counterfactual conditionals (‘counterfactuals’ for short) are inherently ambiguous, equivocating between forward-tracking and backtracking counterfactu- als. Elsewhere, I have proposed a causal modeling semantics, which takes this phenomenon to be generated by two kinds of causal manipulations. (Lee 2015; Lee 2016) In an important paper (Hiddleston 2005), Eric Hiddleston offers a different causal modeling semantics, which he claims to be able to explain away the inherent ambiguity of counterfactuals. In this paper, I discuss these two semantic treatments (...)
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  6. added 2020-01-30
    In Defense of Hypothetical Syllogism.Matheus Silva - manuscript
    Moti Mizrahi (2013) presented a putative counterexample to Hypothetical Syllogism (HS) for indicative conditionals aiming to succeed where previous attempts to refute HS have failed. Lee Walters (2014a) objected that Mizrahi’s putative counterexample results from an inadequate analysis of conditionals with embedded modals, but advanced new putative counterexamples to HS for subjunctive conditionals that are supposed to bypass this issue (Walters, 2014a; 2014b). It is argued that Walter’s analysis of embedded modals is unnecessary to prevent Mizrahi’s putative counterexample, since the (...)
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  7. added 2020-01-30
    The Material Account of Conditionals and the Clash Between Intensional and Extensional Evidence.Matheus Silva - manuscript
    Intensional evidence is any reason to accept a proposition that is not the truth values of the proposition accepted or, if it is a complex proposition, its propositional contents. Extensional evidence is non-intensional evidence. Someone can accept a complex proposition, but deny its logical consequences in two circumstances: (1) when her acceptance is based on intensional evidence, while the logical consequences of the proposition presuppose the acceptance of extensional evidence, e.g., she can refuse the logical consequence of a proposition she (...)
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  8. added 2020-01-30
    'If-Then' as a Version of 'Implies'.Matheus Silva - manuscript
    Russell’s role in the controversy about the paradoxes of material implication is usually presented as a tale of how even the greatest minds can fall prey of basic conceptual confusions. Quine accused him of making a silly mistake in Principia Mathematica. He interpreted ‘if-then’ as a version of ‘implies’ and called it material implication. Quine’s accusation is that this decision involved a use-mention fallacy because the antecedent and consequent of ‘if-then’ are used instead of being mentioned as the premise and (...)
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  9. added 2020-01-30
    The Big Four - Their Interdependence and Limitations.Matheus Silva - manuscript
    Four intuitions are recurrent and influential in theories about conditionals: the Ramsey’s test, the Adams’ Thesis, the Equation, and the robustness requirement. For simplicity’s sake, I call these intuitions ‘the big four’. My aim is to show that: (1) the big four are interdependent; (2) they express our inferential dispositions to employ a conditional on a modus ponens; (3) the disposition to employ conditionals on a modus ponens doesn’t have the epistemic significance that is usually attributed to it, since the (...)
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  10. added 2020-01-30
    A Contextualist Defence of the Material Account of Indicative Conditionals.Matheus Silva - manuscript
    The material account of indicative conditionals faces a legion of counterexamples that are the bread and butter in any entry about the subject. For this reason, the material account is widely unpopular among conditional experts. I will argue that this consensus was not built on solid foundations, since these counterexamples are contextual fallacies. They ignore a basic tenet of semantics according to which when evaluating arguments for validity we need to maintain the context constant, otherwise any argumentative form can be (...)
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  11. added 2020-01-30
    Keep All Your Textbooks.Matheus Silva - manuscript
    Akman (2017) argued that our logic textbooks should be burned, since they present a propositional analysis of necessary and sufficient conditions that leads to a contradiction. According to Akman, we should instead adopt a first-order analysis where conditions are interpreted as one-place predicates. I will argue that (1) Akman’s argument fails to show that the propositional analysis of conditions leads to a contradiction, since the negation of a conjunction is not a conjunction with negated conjuncts, but rather a disjunction with (...)
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  12. added 2020-01-30
    Indicative Conditionals Are Material - Expanding the Survey.Matheus Martins Silva - manuscript
    The material account of indicative conditionals states that indicative conditional sentences and the material implication have the same truth conditions. Recently, Adam Rieger has carried out a survey of arguments in favour of the material account. In this paper, I extend this survey by presenting yet more arguments for the material account. On top of presenting more arguments, I also want to argue that it is plausible to extend the material account to subjunctive conditionals. For that reason, the arguments here (...)
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  13. added 2020-01-30
    The Logical Web - Why Most Alternatives to the Material Account Are Ad Hoc.Matheus Silva - manuscript
    The material account of indicative conditionals states that indicative conditional sentences and the material implication have the same truth conditions. Many conditional logics are motivated by attempts to fix the counter-intuitive aspects associated with the material account. Some counter-intuitive instances of classical argumentative forms, e.g., strengthening of the antecedent, contraposition and conditional negation, are regarded as evidences that the material account is wrong and that classical logic should be rejected in favour of a new logic system in which these argumentative (...)
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  14. added 2020-01-30
    Directional Bias - Why Most Philosophers (Wrongly) Believe Conditionals Are Not Material.Matheus Silva - manuscript
    There is almost a consensus among philosophers that indicative conditionals are not material. Their thought hinges on the idea that if conditionals were material, A → B could be vacuously true even if the truth of A would lead to the falsity of B. But since this consequence is implausible, the material account must be false. I will argue that this point of view is mistaken, since it is motivated by the grammatical form of conditional sentences and the symbols used (...)
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  15. added 2020-01-30
    Necessary and Sufficient Conditions Are Converse Relations.Matheus Silva - manuscript
    According to the so-called ‘standard theory’ of conditions, the conditionship relation is converse, that is, if A is a sufficient condition for B, B is a necessary condition for A. This theory faces well-known counterexamples that appeal to both causal and other asymmetric considerations. I show that these counterexamples lose their plausibility once we clarify two key components of the standard theory: that to satisfy a condition is to instantiate a property, and that what is usually called ‘conditionship relation’ is (...)
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  16. added 2020-01-26
    A Counterexample to Modus Ponenses.Matthew Mandelkern - forthcoming - Journal of Philosophy.
    McGee (1985) argued that modus ponens was invalid for the natural language conditional ‘If. . . then. . . ’. Many subsequent responses have argued that, while McGee’s examples show that modus ponens fails to preserve truth, they do not show that modus ponens fails to preserve rational full acceptance, and thus modus ponens may still be valid in the latter informational sense. I show that when we turn our attention from indicative conditionals (the focus of most of the literature (...)
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  17. added 2020-01-25
    Boxes and Diamonds. An Open Introduction to Modal Logic.Richard Zach - 2019
    A textbook for modal and other intensional logics based on the Open Logic Project. It covers normal modal logics, relational semantics, axiomatic and tableaux proof systems, intuitionistic logic, and counterfactual conditionals.
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  18. added 2020-01-22
    Counterfactual Reasoning.Roberta Ferrario - 2001 - In P. Bouquet V. Akman (ed.), Modeling and Using Context. Springer. pp. 170--183.
    Primary goal of this paper is to show that counterfactual reasoning, as many other kinds of common sense reasoning, can be studied and analyzed through what we can call a cognitive approach, that represents knowledge as structured and partitioned into different domains, everyone of which has a specific theory, but can exchange data and information with some of the others. Along these lines, we are going to show that a kind of ``counterfactual attitude'' is pervasive in a lot of forms (...)
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  19. added 2019-10-16
    How Strong is a Counterfactual?David Boylan & Ginger Schultheis - forthcoming - Journal of Philosophy.
    There are two leading theories about the meaning of counterfactuals, the Variably Strict Analysis (VSA) and the Strict Analysis (SA). Perhaps most famously, VSA and SA disagree about a principle known as Antecedent Strengtheing: SA validates the principle; VSA does not. Early VSA theorists believed that certain apparent counterexamples to Antecedent Strengthening— now known as Sobel Sequences—refuted SA. More recently, defenders of SA have enriched SA with certain dynamic principles governing how context evolves and argued that Sobel sequences are not (...)
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  20. added 2019-10-16
    Conjunction, Connection and Counterfactuals.Chaoan He - 2016 - Erkenntnis 81 (4):705-719.
    The standard Lewis–Stalnaker semantics of counterfactuals, given the Strong Centering Thesis, implies that all true–true counterfactuals are trivially true. McGlynn developed a theory, based on Penczek, to rehabilitate the non-triviality of true–true counterfactuals. I show here that counterfactuals with true but irrelevant components are counterexamples to McGlynn’s account. I argue that an extended version of the connection hypothesis is sustainable, and grounds a full theory of counterfactuals explicable in a broadly standard way, if an indispensable asymmetry between semifacuals and other (...)
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  21. added 2019-09-18
    Indicative Conditionals Without Iterative Epistemology.Ben Holguín - forthcoming - Noûs.
    This paper argues that two widely accepted principles about the indicative conditional jointly presuppose the falsity of one of the most prominent arguments against epistemological iteration principles. The first principle about the indicative conditional, which has close ties both to the Ramsey test and the “or-to-if” inference, says that knowing a material conditional suffices for knowing the corresponding indicative. The second principle says that conditional contradictions cannot be true when their antecedents are epistemically possible. Taken together, these principles entail that (...)
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  22. added 2019-09-06
    One's Modus Ponens: Modality, Coherence and Logic.Una Stojnić - 2017 - Philosophy and Phenomenological Research 95 (1):167-214.
    Recently, there has been a shift away from traditional truth-conditional accounts of meaning towards non-truth-conditional ones, e.g., expressivism, relativism and certain forms of dynamic semantics. Fueling this trend is some puzzling behavior of modal discourse. One particularly surprising manifestation of such behavior is the alleged failure of some of the most entrenched classical rules of inference; viz., modus ponens and modus tollens. These revisionary, non-truth-conditional accounts tout these failures, and the alleged tension between the behavior of modal vocabulary and classical (...)
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  23. added 2019-08-15
    A Theory of Conditional Assertion.Simon Goldstein - 2019 - Journal of Philosophy 116 (6):293-318.
    According to one tradition, uttering an indicative conditional involves performing a special sort of speech act: a conditional assertion. We introduce a formal framework that models this speech act. Using this framework, we show that any theory of conditional assertion validates several inferences in the logic of conditionals, including the False Antecedent inference. Next, we determine the space of truth-conditional semantics for conditionals consistent with conditional assertion. The truth value of any such conditional is settled whenever the antecedent is false, (...)
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  24. added 2019-08-09
    Ceteris Paribus Conditionals and Comparative Normalcy.Martin Smith - 2007 - Journal of Philosophical Logic 36 (1):97-121.
    Our understanding of subjunctive conditionals has been greatly enhanced through the use of possible world semantics and, more precisely, by the idea that they involve variably strict quantification over possible worlds. I propose to extend this treatment to ceteris paribus conditionals – that is, conditionals that incorporate a ceteris paribus or ‘other things being equal’ clause. Although such conditionals are commonly invoked in scientific theorising, they traditionally arouse suspicion and apprehensiveness amongst philosophers. By treating ceteris paribus conditionals as a species (...)
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  25. added 2019-08-07
    The C3 Conditional: A Variably Strict Ordinary-Language Conditional.Monique Whitaker - 2016 - Dissertation, CUNY
    In this dissertation I provide a novel logic of the ordinary-language conditional. First, however, I endeavor to make clearer and more precise just what the objects of the study of the conditional are, as a lack of clarity as to what counts as an instance of a given category of conditional has resulted in deep and significant confusions in subsequent analysis. I motivate for a factual/counterfactual distinction, though not at the level of particular instances of the conditional. Instead, I argue (...)
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  26. added 2019-07-22
    If P, Then P!Matthew Mandelkern - manuscript
    The Identity principle says that conditionals with the form 'If p, then p' are logical truths. Identity is overwhelmingly plausible, and has rarely been explicitly challenged. But a wide range of conditionals nonetheless invalidate it. I explain the problem, and argue that the culprit is the principle known as Import-Export, which we must thus reject. I then explore how we can reject Import-Export in a way that still makes sense of the intuitions that support it, arguing that the differences between (...)
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  27. added 2019-06-25
    Roads to Necessitarianism.Matthew Mandelkern & Daniel Rothschild - forthcoming - Journal of Philosophical Logic.
    We show that each of three natural sets of assumptions about the conditional entails necessitarianism: that anything possible is necessary.
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  28. added 2019-06-07
    For the Sake of the Argument: Ramsey Test Conditionals, Inductive Inference, and Nonmonotonic Reasoning. [REVIEW]Michael Morreau - 1998 - Journal of Philosophy 95 (10):540-546.
  29. added 2019-06-06
    Lewis on ‘Might’ and ‘Would’ Counterfactual Conditionals.Keith DeRose - 1994 - Canadian Journal of Philosophy 24 (3):413-418.
    Letting denote ‘would’ counterfactual conditionals like If I had looked in my pocket, I would have found a penny and letting denote ‘might’ counterfactual conditionals like If I had looked in my pocket, I might have found a penny,David Lewis’s thesis regarding the connection between these two types of conditionals is that.
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  30. added 2019-06-06
    If Conditionals Were Not Contraposable . .Michael Clark - 1976 - Analysis 36 (2):112.
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  31. added 2019-06-05
    Counterfactual Fallacies.Andrea Iacona - 2011 - Humana Mente 4 (19).
    A widely accepted claim about counterfactuals is that they differ from strict conditionals, that is, there is no adequate representation of them as sentences of the form   . To justify this claim, Stalnaker and Lewis have argued that some fallacious inferences would turn out valid if counterfactuals were so represented. However, their argument has a flaw, as it rests on a questionable assumption about the relation between surface grammar and logical form. Without that assumption, no consequence of the (...)
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  32. added 2019-06-05
    The Logic of Conditionals. Ernest W. Adams.Ian F. Carlstrom & Christopher S. Hill - 1978 - Philosophy of Science 45 (1):155-158.
  33. added 2019-03-12
    Strict Conditional Accounts of Counterfactuals.Cory Nichols - 2017 - Linguistics and Philosophy 40 (6):621-645.
    von Fintel and Gillies : 329–360, 2007) have proposed a dynamic strict conditional account of counterfactuals as an alternative to the standard variably strict account due to Stalnaker and Lewis. Von Fintel’s view is motivated largely by so-called reverse Sobel sequences, about which the standard view seems to make the wrong predictions. More recently Moss :561–586, 2012) has offered a pragmatic/epistemic explanation that purports to explain the data without requiring abandonment of the standard view. So far the small amount of (...)
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  34. added 2019-03-08
    A 4-Valued Logic of Strong Conditional.Fabien Schang - 2018 - South American Journal of Logic 3 (1):59-86.
    How to say no less, no more about conditional than what is needed? From a logical analysis of necessary and sufficient conditions (Section 1), we argue that a stronger account of conditional can be obtained in two steps: firstly, by reminding its historical roots inside modal logic and set-theory (Section 2); secondly, by revising the meaning of logical values, thereby getting rid of the paradoxes of material implication whilst showing the bivalent roots of conditional as a speech-act based on affirmations (...)
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  35. added 2019-02-09
    The Spectre of Triviality.Nate Charlow - 2019 - Analysis 79 (4):595-605.
    A spectre haunts the semantics of natural language — the spectre of Triviality. Semanticists (in particular Rothschild 2013; Khoo and Mandelkern 2018a,b) have entered into a holy alliance to exorcise this spectre. None, I will argue, have yet succeeded.
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  36. added 2019-02-08
    On the Substitution of Identicals in Counterfactual Reasoning.Alexander W. Kocurek - forthcoming - Noûs:1-32.
    It is widely held that counterfactuals, unlike attitude ascriptions, preserve the referential transparency of their constituents, i.e., that counterfactuals validate the substitution of identicals when their constituents do. The only putative counterexamples in the literature come from counterpossibles, i.e., counterfactuals with impossible antecedents. Advocates of counterpossibilism, i.e., the view that counterpossibles are not all vacuous, argue that counterpossibles can generate referential opacity. But in order to explain why most substitution inferences into counterfactuals seem valid, counterpossibilists also often maintain that counterfactuals (...)
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  37. added 2019-02-07
    Talking About Worlds.Matthew Mandelkern - 2018 - Philosophical Perspectives 32 (1):298-325.
    I explore the logic of the conditional, using credence judgments to argue against Duality and in favor of Conditional Excluded Middle. I then explore how to give a theory of the conditional which validates the latter and not the former, developing a variant on Kratzer (1981)'s restrictor theory, as well as a proposal which combines Stalnaker (1968)'s theory of the conditional with the theory of epistemic modals I develop in Mandelkern 2019a. I argue that the latter approach fits naturally with (...)
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  38. added 2018-11-26
    A Logic for the Natural Language Conditional.Monique Whitaker - 2018 - South African Journal of Philosophy 37 (3):261-283.
    Ordinary speakers intuitively assign truth-values to conditional utterances in everyday conversation, but, despite the general ease with which this occurs, it is notoriously difficult to give an account of the implicit logic that is followed in making these truth-value assignments. I propose a twofold logic of the conditional – a relatively simple “factual” logic for conditionals interpreted with regard to what is actually the case, largely following the logic of the material conditional; combined with a variably strict possible-worlds counterfactual logic (...)
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  39. added 2018-09-10
    A Compositional Semantics for 'If Then' Conditionals.Mathieu Vidal - 2016 - In Maxime Amblard, Philippe de Groote, Sylvain Pogodalla & Christian Retoré (eds.), Logical Aspects of Computational Linguistics. Celebrating 20 Years of LACL (1996–2016). Springer. pp. 291-307.
    This paper presents the first compositional semantics for if then conditionals. The semantics of each element are first examined separately. The meaning of if is modeled according to a possible worlds semantics. The particle then is analyzed as an anaphoric word that places its focused element inside the context settled by a previous element. Their meanings are subsequently combined in order to provide a formal semantics of if A then C conditionals, which differs from the simple if A, C form. (...)
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  40. added 2018-07-30
    Three Types of Conditionals and Their Verb Forms in English and Portuguese.Gilberto Gomes - 2008 - Cognitive Linguistics 19 (2):219-240.
    An examination of conditionals in di¤erent languages leads to a distinction of three types of conditionals instead of the usual two (indicative and subjunctive). The three types can be explained by the degree of acceptance or as-if acceptance of the truth of the antecedent. The labels subjunctive and indicative are shown to be inadequate. So-called indicative conditionals comprise two classes, the very frequent uncertain-fact conditionals and the quite rare accepted-fact conditionals. Uncertain-fact conditionals may have a time shift in contemporary English (...)
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  41. added 2018-06-24
    Two Ways to Want?Ethan Jerzak - 2019 - Journal of Philosophy 116 (2):65-98.
    I present unexplored and unaccounted for uses of 'wants'. I call them advisory uses, on which information inaccessible to the desirer herself helps determine what she wants. I show that extant theories by Stalnaker, Heim, and Levinson fail to predict these uses. They also fail to predict true indicative conditionals with 'wants' in the consequent. These problems are related: intuitively valid reasoning with modus ponens on the basis of the conditionals in question results in unembedded advisory uses. I consider two (...)
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  42. added 2018-06-16
    Two Switches in the Theory of Counterfactuals: A Study of Truth Conditionality and Minimal Change.Ivano Ciardelli, Linmin Zhang & Lucas Champollion - 2018 - Linguistics and Philosophy (6).
    Based on a crowdsourced truth value judgment experiment, we provide empirical evidence challenging two classical views in semantics, and we develop a novel account of counterfactuals that combines ideas from inquisitive semantics and causal reasoning. First, we show that two truth-conditionally equivalent clauses can make different semantic contributions when embedded in a counterfactual antecedent. Assuming compositionality, this means that the meaning of these clauses is not fully determined by their truth conditions. This finding has a clear explanation in inquisitive semantics: (...)
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  43. added 2018-06-07
    The Case of the Missing ‘If’: Accessibility Relations in Stalnaker’s Theory of Conditionals.Matthew Mandelkern - forthcoming - Semantics and Pragmatics.
    A part of Stalnaker (1968)’s influential theory of conditionals has been neglected, namely the role for an accessibility relation between worlds. I argue that the accessibility relation does not play the role intended for it in the theory as stated, and propose a minimal revision which solves the problem, and brings the theory in line with the formulation in Stalnaker & Thomason 1970.
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  44. added 2018-04-02
    Import‐Export and ‘And’.Matthew Mandelkern - 2020 - Philosophy and Phenomenological Research 100 (1):118-135.
    Import-Export says that a conditional 'If p, if q, r' is always equivalent to the conditional 'If p and q, r'. I argue that Import-Export does not sit well with a classical approach to conjunction: given some plausible and widely accepted principles about conditionals, Import-Export together with classical conjunction leads to absurd consequences. My main goal is to draw out these surprising connections. In concluding I argue that the right response is to reject Import-Export and adopt instead a limited version (...)
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  45. added 2018-03-17
    Modus Ponens and the Logic of Dominance Reasoning.Nate Charlow - manuscript
    If modus ponens is valid (in the usual sense of that notion), then you should take up smoking.
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  46. added 2018-02-17
    Ramsey’s Test, Adams’ Thesis, and Left-Nested Conditionals.Richard Dietz & Igor Douven - 2010 - Review of Symbolic Logic 3 (3):467-484.
    Adams famously suggested that the acceptability of any indicative conditional whose antecedent and consequent are both factive sentences amounts to the subjective conditional probability of the consequent given the antecedent. The received view has it that this thesis offers an adequate partial explication of Ramsey’s test, which characterizes graded acceptability for conditionals in terms of hypothetical updates on the antecedent. Some results in van Fraassen may raise hope that this explicatory approach to Ramsey’s test is extendible to left-nested conditionals, that (...)
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  47. added 2018-02-17
    Beth Too, but Only If.Achille C. Varzi - 2005 - Analysis 65 (3):224-229.
    On the difficulty of extracting the logical form of a seemingly simple sentence such as ‘If Andy went to the movie then Beth went too, but only if she found a taxi cab’, with some morals and questions on the nature of the difficulty.
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  48. added 2017-12-28
    Embedded Conditionals and Modus Ponens.Danilo Suster - 1999 - In Beyond Classical Logic, Conceptus-studien Bd. 13. Sankt Augustin: Academia Verlag. pp. 97-115.
    It is commonly accepted that those embedded conditionals of the type "if A, then if B, then C" we do understand, we understand as equivalent to sentences without embedded conditionals. This reduction is in classical logic achieved with the use of laws of exportation and importation. V. McGee even presents counterexamples to modus ponens which are based on the classical treatment of embedded conditionals and proposes to trade the validity of modus ponens for the validity of laws of importation and (...)
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  49. added 2017-12-27
    Strengthening Principles and Counterfactual Semantics.David Boylan & Ginger Schultheis - 2017 - Proceedings of the 21st Amsterdam Colloquium.
  50. added 2017-11-02
    Conditional Heresies.Fabrizio Cariani & Simon Goldstein - 2018 - Philosophy and Phenomenological Research.
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