Given his hostility to intensional locutions, it is not surprising that Quine was suspicious of the subjunctive conditional. Although he admitted its usefulness as a heuristic device, in order to introduce dispositional terms, he held that it had no place in a finished scientific theory. In this paper I argue in support of something like Quine’s position. Many contemporary philosophers are unreflectively realist about subjunctives, regarding them as having objective truth values. I contest this. “Moderate realist” theorists, such as Lewis (...) and Stalnaker, admit that subjunctives are context-relative and often indeterminate; I argue, using some examples from the contemporary literature on conditionals, that these features are deeper and more widespread than they think. “Ultra-realist” theories, which deny any indeterminacy, are not credible. Hence subjunctives are unsuitable for certain purposes, in particular the description of mind-independent reality. (shrink)

Arguments are advanced that a theory of possible worlds cannot be a theory of meaning for modal statements, And lewis's version of the theory in his "counterfactuals" is used as a particular stalking-Horse. (a) 'possible world', Though used referentially, Is defined in a way that makes it non-Referential, And moreover, The theory does not supply or validate proposals for criteria that individuate worlds; hence the theory seems incomprehensible. (b) the theory yields no useable account of truth-Conditions for modal statements. (c) (...) a conceptualist version of the theory cannot overcome these problems. (d) lewis's similarity theory of possible worlds as a semantics for counterfactuals sustains in many cases (including one he cites) intuitively untrue counterfactuals and rejects many intuitively correct ones. (shrink)

We explore the prospects of a monist account of explanation for both non-causal explanations in science and pure mathematics. Our starting point is the counterfactual theory of explanation for explanations in science, as advocated in the recent literature on explanation. We argue that, despite the obvious differences between mathematical and scientific explanation, the CTE can be extended to cover both non-causal explanations in science and mathematical explanations. In particular, a successful application of the CTE to mathematical explanations requires us to (...) rely on counterpossibles. We conclude that the CTE is a promising candidate for a monist account of explanation in both science and mathematics. (shrink)

In the recent philosophy of explanation, a growing attention to and discussion of non-causal explanations has emerged, as there seem to be compelling examples of non-causal explanations in the sciences, in pure mathematics, and in metaphysics. I defend the claim that the counterfactual theory of explanation (CTE) captures the explanatory character of both non-causal scientific and metaphysical explanations. According to the CTE, scientific and metaphysical explanations are explanatory by virtue of revealing counterfactual dependencies between the explanandum and the explanans. I (...) support this claim by illustrating that CTE is applicable to Euler’s explanation (an example of a non-causal scientific explanation) and Loewer’s explanation (an example of a non-causal metaphysical explanation). (shrink)

Laws in the special sciences are usually regarded to be non-universal. A theory of laws in the special sciences faces two challenges. (I) According to Lange's dilemma, laws in the special sciences are either false or trivially true. (II) They have to meet the ?requirement of relevance?, which is a way to require the non-accidentality of special science laws. I argue that both challenges can be met if one distinguishes four dimensions of (non-) universality. The upshot is that I argue (...) for the following explication of special science laws: L is a special science law just if (1) L is a system law, (2) L is quasi-Newtonian, and (3) L is minimally invariant. (shrink)

I articulate and defend a new theory of what it is for a physical system to implement an abstract computational model. According to my descriptivist theory, a physical system implements a computational model just in case the model accurately describes the system. Specifically, the system must reliably transit between computational states in accord with mechanical instructions encoded by the model. I contrast my theory with an influential approach to computational implementation espoused by Chalmers, Putnam, and others. I deploy my theory (...) to illuminate the relation between computation and representation. I also rebut arguments, propounded by Putnam and Searle, that computational implementation is trivial. (shrink)

I offer a new account of fair-play obligations for non-excludable benefits received from the state. Firstly, I argue that non-acceptance of these benefits frees recipients of fairness obligations only when a counterfactual condition is met; i.e. when non-acceptance would hold up in the closest possible world in which recipients do not hold motivationally-biased beliefs triggered by a desire to free-ride. Secondly, I argue that because of common mechanisms of self-deception there will be recipients who reject these benefits without meeting the (...) counterfactual condition. For this reason, I suggest that those who reject non-excludable benefits provided by the state have a duty to support their rejection with adequate reasons. Failing that, they can be permissibly treated as if they had fair-play obligations (although in fact they might not have them). Thus, I claim that there is a distinction, largely unappreciated, between the question of whether we have a duty of fairness to obey the law and the question of whether we can be permissibly treated as if we had one. (shrink)

Any worlds semantics for intentionality has to provide a plenitudinous theory of impossibility: For any impossible proposition, it should provide a world where it is true. Hence, also any semantics for impossibility statements that extends Lewis’s concretism about possible worlds should be plenitudinous. However, several such proposals for impossibilist semantics fail to accommodate two kinds of impossibility that, albeit not unheard of, have been largely neglected in the literature on impossible worlds, but that are bound to arise in the Lewisian (...) context. The proposals discussed here stop short of plenitude because they adhere to what Lewis occasionally referred to as ‘ontological truth’, as they lack the semantic ability to misrepresent ontological facts. The paper develops a framework for systematic misrepresentations on the basis of Mares’s situation-based account of impossible ‘worlds’, and which confines ‘ontological truth’ to possibility. It thus illustrates how a plenitude of impossibilities can be achieved. (shrink)

In recent years, a number of philosophers have attempted to fix paradoxes of the counterfactual account of causation by making causation contrastive. In this framework, causation is understood to be not a two-place relationship between a cause and an effect but a three or four-place relationship between a cause, an effect and a contrast on the side of the cause, the effect or both. I argue that contrasting helps resolving certain paradoxes only if an account of admissibility of the chosen (...) set of contrasts is given. I show by means of numerous examples that it is contextual features that determine admissibility. This way, context becomes part of the semantics of causation. I finally argue that once contextualised, explicit contrasting is redundant: causation is therefore a three-place relationship between a cause, an effect and a context. (shrink)

One finds in the systems of natural languages some explicit means of elaborating not only upon the directness of the causal relationship believed to exist between two events X and Y (i.e. some means of specifying just how inevitably event X gives or gave rise to event Y), but also some manner of indicating just who or what is understood to be the primary instigator of the caused event. The goal of the present paper is to explore these notions in (...) detail and arrive at a formal, logic-based means of capturing them. (shrink)

In the first part of this paper I present a defence of the Austinian semantic approach to incomplete quantifiers and similar phenomena (section 2-4). It is part of my defence of Austinian semantics that it incorporates a cognitive dimension (section 4). This cognitive dimension makes it possible to connect Austinian semantics to various cognitive theories of discourse interpretation. In the second part of the paper (sections 5-7), I establish connections between Austinian semantics and four particular theories: • the theory of (...) reference and modes of presentation in terms of information files (see e.g. Perry 1993), • the theory of discourse interpretation as involving a process of context selection (see Sperber and Wilson 1986), • the theory of informational structure (for a survey, see Lambrecht 1994), • the theory of mental spaces (Fauconnier 1985). (shrink)

(1988). Explanation, subjunctives and statistical theories. International Studies in the Philosophy of Science: Vol. 3, No. 1, pp. 80-96. doi: 10.1080/02698598808573326.

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. (...) This article develops a technique to infer the logic for such definable conditionals from the known logic of the underlying defining conditional. The technique is applied to central examples. The results show that a large part of the zoo of conditionals arises from a basic conditional—a constant nucleus of the different contextual and conceptual variations of variably strict conditionals. (shrink)

The well-known argument of Frederick Fitch, purporting to show that verificationism (= Truth implies knowability) entails the absurd conclusion that all the truths are known, has been disarmed by Dorothy Edgington''s suggestion that the proper formulation of verificationism presupposes that we make use of anactuality operator along with the standardly invoked epistemic and modal operators. According to her interpretation of verificationism, the actual truth of a proposition implies that it could be known in some possible situation that the proposition holds (...) in theactual situation. Thus, suppose that our object language contains the operatorA — it is actually the case that ... — with the following truth condition: vA iff w0, wherew 0 stands for the designated world of the model — the actual world. Then we can formalize the verificationist claim as follows. (shrink)

Even if our justified beliefs are closed under known entailment, there may still be instances of transmission failure. Transmission failure occurs when P entails Q, but a subject cannot acquire a justified belief that Q by deducing it from P. Paradigm cases of transmission failure involve inferences from mundane beliefs (e.g., that the wall in front of you is red) to the denials of skeptical hypotheses relative to those beliefs (e.g., that the wall in front of you is not white (...) and lit by red lights). According to the Bayesian explanation, transmission failure occurs when (i) the subject’s belief that P is based on E, and (ii) P(Q|E) P(Q). No modifications of the Bayesian explanation are capable of accommodating such cases, so the explanation must be rejected as inadequate. Alternative explanations employing simple subjunctive conditionals are fully capable of capturing all of the paradigm cases, as well as those missed by the Bayesian explanation. (shrink)

Epistemologists have proposed various norms of assertion to explain when a speaker is in an epistemic position to assert a proposition. In this article I propose a distinct necessary condition on assertibility: that a speaker should assert only what she sensitively believes, where a subject's belief is sensitive just in case the subject would not hold it if it were false. I argue that the Sensitivity Rule underwrites simple explanations for three key features of assertibility that pose explanatory challenges to (...) other prominent proposals: the fact that assertibility is open under known entailment, the general impropriety of assertions that a lottery ticket has lost made purely on the basis of the speaker's knowledge of the odds, and the fact that assertibility varies widely with features of the conversational context. I close by considering three distinct roles the Sensitivity Rule might play in the overall theory of assertibility. (shrink)

: Among the current philosophical accounts of causation two are the most prominent. The first is James Woodward's interventionist counterfactual approach; the second is the mechanistic approach advocated by Peter Machamer, Lindley Darden, Carl Craver, Jim Bogen and Stuart Glennan. Thecounterfactual approach takes it that causes make a difference to their effects, where this difference-making is cashed out in terms of actual and counterfactual interventions. The mechanistic approach takes it that two events are causally related if and only if there (...) is a mechanism that connects them. In this paper I examine them both in some detail. After pointing out some important problems that both approaches face, I argue that there is a sense in which the counterfactual approach is more basic than the mechanistic one in that a proper account of mechanisms depends on counterfactuals while counterfactuals need not be supported (or depend on) mechanisms. Nonetheless, I also argue that if both approaches work in tandem in practice, they can offer us a better understanding of aspects of Hume's secret connexion and hence a glimpse of it. (shrink)

Consider the reasonable axioms of subjunctive conditionals if p → q1 and p → q2 at some world, then p → at that world, and if p1 → q and p2 → q at some world, then → q at that world, where p → q is the subjunctive conditional. I show that a Lewis-style semantics for subjunctive conditionals satisfies these axioms if and only if one makes a certain technical assumption about the closeness relation, an assumption that is probably (...) false. I will then show how Lewisian semantics can be modified so as to assure and even when the technical assumption fails, and in fact in one sense the semantics actually becomes simpler then. (shrink)

This is an expanded and revised discussion of the argument briefly put forward in my 'A New Problem for the A-Theory of Time', where it is claimed that it is impossible to experience real temporal passage and that no such phenomenon exists. In the first half of the paper the premises of the argument are discussed in more detail than before. In the second half responses are given to several possible objections, none of which were addressed in the earlier paper. (...) There is also some discussion of some related epistemic arguments against the passage of time given by Huw Price and David Braddon-Mitchell along with objections raised against them recently by Tim Maudlin and Peter Forrest respectively. (shrink)

A certain construal of the Gettier problem is offered, according to which this problem concerns the task of identifying the anti-luck condition on knowledge. A methodology for approaching this construal of the Gettier problem—anti-luck epistemology—is set out, and the utility of such a methodology is demonstrated. It is argued that a range of superficially distinct cases which are meant to pose problems for anti-luck epistemology are in fact related in significant ways. It is claimed that with these cases properly understood, (...) anti-luck epistemology is able to offer a suitable diagnosis of them which doesn’t threaten the necessity of the anti-luck condition for knowledge. (shrink)

Support is canvassed for a new approach to epistemology called anti-risk epistemology. It is argued that this proposal is rooted in the motivations for an existing account, known as anti-luck epistemology, but is superior on a number of fronts. In particular, anti-risk epistemology is better placed than anti-luck epistemology to supply the motivation for certain theoretical moves with regard to safety-based approaches to knowledge. Moreover, anti-risk epistemology is more easily extendable to epistemological questions beyond that in play in the theory (...) of knowledge specifically. A key advantage of the view, however, is that anti-risk epistemology fares much better than anti-luck epistemology when it comes to accounting for the phenomenon of negative epistemic dependence. In particular, anti-risk epistemology is ideally placed to explain why such epistemic dependence is incompatible with knowledge, even when the negative epistemic dependence in play is of a purely modal variety. (shrink)

A distinctive approach to the theory of knowledge is described, known as anti-luck epistemology. The goal of the paper is to consider whether there are specific features of this proposal that entails that it is committed to pragmatic encroachment, such that whether one counts as having knowledge significantly depends on non-epistemic factors. In particular, the plausibility of the following idea is explored: that since pragmatic factors play an essential role when it comes to the notion of luck, then according to (...) anti-luck epistemology they must likewise play an essential role in our understanding of knowledge as well. It is argued that once anti-luck epistemology is properly understood—where this means, in turn, having the right account of luck in play—then this putative entailment to pragmatic encroachment does not go through. (shrink)

Common-sense morality includes various agent-centred constraints, including ones against killing unnecessarily and breaking a promise. However, it's not always clear whether, had an agent ϕ-ed, she would have violated a constraint. And sometimes the reason for this is not that we lack knowledge of the relevant facts, but that there is no fact about whether her ϕ-ing would have constituted a constraint-violation. What, then, is a constraint-accepting theory to say about whether it would have been permissible for her to have (...) ϕ-ed? In this paper, I canvass various possible approaches to answering this question and I argue that teleology offers the most plausible approach—teleology being the view that every act has its deontic status in virtue of how its outcome ranks, relative to those of its alternatives. So although, until recently, it had been thought that only deontological theories can accommodate constraints, it turns out that teleological theories not only can accommodate constraints, but can do so more plausibly than deontological theories can. (shrink)

There is, on a given moral view, an agent-centered restriction against performing acts of a certain type if that view prohibits agents from performing an instance of that act-type even to prevent two or more others from each performing a morally comparable instance of that act-type. The fact that commonsense morality includes many such agent-centered restrictions has been seen by several philosophers as a decisive objection against consequentialism. Despite this, I argue that agent-centered restrictions are more plausibly accommodated within a (...) consequentialist framework than within the more standard side-constraint framework. For I argue that when we combine agent-relative consequentialism with a Kantian theory of value, we arrive at a version of consequentialism, which I call 'Kantsequentialism', that has several advantages over the standard side-constraint approach to accommodating constraints. What’s more, I argue that Kantsequentialism doesn’t have any of the disadvantages that critics of consequentializing have presumed that such a theory must have. (shrink)

The platonism/nominalism debate in the philosophy of mathematics concerns the question whether numbers and other mathematical objects exist. Platonists believe the answer to be in the positive, nominalists in the negative. According to non-factualists, the question is ‘moot’, in the sense that it lacks a correct answer. Elaborating on ideas from Stephen Yablo, this article articulates a non-factualist position in the philosophy of mathematics and shows how the case for non-factualism entails that standard arguments for rival positions fail. In particular, (...) showing how and why non-factualists reject nominalism illuminates the originality and interest of their position. (shrink)

We show that truth conditions for counterfactuals need not always be given in terms of a vague notion of similarity. To this end, we single out the important class of historical counterfactuals and give formally rigorous truth conditions for these counterfactuals, employing a partial ordering relation called "comparative closeness" that is defined in the framework of branching space-times. Among other applications, we provide a detailed analysis of counterfactuals uttered in the context of lost bets. In an appendix we compare our (...) theory with the branching space-times based reading of counterfactuals recently proposed by Belnap. (shrink)

It is natural to ask under what conditions negating a conditional is equivalent to negating its consequent. Given a bivalent background logic, this is equivalent to asking about the conjunction of Conditional Excluded Middle (CEM, opposite conditionals are not both false) and Weak Boethius' Thesis (WBT, opposite conditionals are not both true). In the system CI.0 of consequential implication, which is intertranslatable with the modal logic KT, WBT is a theorem, so it is natural to ask which instances of CEM (...) are derivable. We also investigate the systems CIw and CI of consequential implication, corresponding to the modal logics K and KD respectively, with occasional remarks about stronger systems. While unrestricted CEM produces modal collapse in all these systems, CEM restricted to contingent formulas yields the Alt2 axiom (semantically, each world can see at most two worlds), which corresponds to the symmetry of consequential implication. It is proved that in all the main systems considered, a given instance of CEM is derivable if and only if the result of replacing consequential implication by the material biconditional in one or other of its disjuncts is provable. Several related results are also proved. The methods of the paper are those of propositional modal logic as applied to a special sort of conditional. (shrink)

The conservation of energy and momentum have been viewed as undermining Cartesian mental causation since the 1690s. Modern discussions of the topic tend to use mid-nineteenth century physics, neglecting both locality and Noether’s theorem and its converse. The relevance of General Relativity has rarely been considered. But a few authors have proposed that the non-localizability of gravitational energy and consequent lack of physically meaningful local conservation laws answers the conservation objection to mental causation: conservation already fails in GR, so there (...) is nothing for minds to violate. This paper is motivated by two ideas. First, one might take seriously the fact that GR formally has an infinity of rigid symmetries of the action and hence, by Noether’s first theorem, an infinity of conserved energies-momenta. Second, Sean Carroll has asked how one should modify the Dirac–Maxwell–Einstein equations to describe mental causation. This paper uses the generalized Bianchi identities to show that General Relativity tends to exclude, not facilitate, such Cartesian mental causation. In the simplest case, Cartesian mental influence must be spatio-temporally constant, and hence 0. The difficulty may diminish for more complicated models. Its persuasiveness is also affected by larger world-view considerations. The new general relativistic objection provides some support for realism about gravitational energy-momentum in GR. Such realism also might help to answer an objection to theories of causation involving conserved quantities, because energies-momenta would be conserved even in GR. (shrink)

In this paper, I examine whether agents who commit testimonial injustice are morally responsible for their wrongdoing, given that they are ignorant of their wrongdoing. Fricker (2007) argues that agents whose social setting lacks the concepts or reasons necessary for them to correct for testimonial injustice are excused. I argue that agents whose social settings have these concepts or reasons available are also typically excused, because they lack the capacity to recognise those concepts or reasons. Attempts to trace this lack (...) of capacity back to an earlier culpable wrongdoing will often fail, due to there being no point at which these perpetrators knowingly chose to develop their prejudices. Attempts to ground culpability under Talbert’s (2008) Attributionist account of moral responsibility will also fail. This is because perpetrators’ lack of awareness of what they are doing makes it the case that they are not expressing objectionable evaluative judgments in the way required for blameworthiness. Finally, I argue that our temptation to blame agents who commit testimonial injustice is not completely unfounded. Appealing to Watson’s (1996) attributability/accountability distinction allows us to make sense of how some responses to the jurors are appropriate, despite their being excused. (shrink)

I argue in favor of a certain connection between knowledge and the permissibility of action. On this approach, we do not think of the relation between those notions as reflecting a universal epistemic principle. Instead, we think of it as something resembling a platitude from folk psychology. With the help of some elementary tools from the logic of normativity and counterfactuals, I attempt to establish the connection by deriving it from more elementary principles. The new formulation involves a ceteris paribus (...) clause. Though it is often difficult to specify the exact content of a ceteris paribus clause, we will see that our clause is derived from a descriptive generalization with independent motivation. (shrink)

This open access book is a superb collection of some fifteen chapters inspired by Schroeder-Heister's groundbreaking work, written by leading experts in the field, plus an extensive autobiography and comments on the various contributions by Schroeder-Heister himself. For several decades, Peter Schroeder-Heister has been a central figure in proof-theoretic semantics, a field of study situated at the interface of logic, theoretical computer science, natural-language semantics, and the philosophy of language. -/- The chapters of which this book is composed discuss the (...) subject from a rich variety of angles, including the history of logic, the proper interpretation of logical validity, natural deduction rules, the notions of harmony and of synonymy, the structure of proofs, the logical status of equality, intentional phenomena, and the proof theory of second-order arithmetic. All chapters relate directly to questions that have driven Schroeder-Heister's own research agenda and to which he has made seminal contributions. The extensive autobiographical chapter not only provides a fascinating overview of Schroeder-Heister's career and the evolution of his academic interests but also constitutes a contribution to the recent history of logic in its own right, painting an intriguing picture of the philosophical, logical, and mathematical institutional landscape in Germany and elsewhere since the early 1970s. The papers collected in this book are illuminatingly put into a unified perspective by Schroeder-Heister's comments at the end of the book. Both graduate students and established researchers in the field will find this book an excellent resource for future work in proof-theoretic semantics and related areas. (shrink)

Sidney Morgenbesser brought to attention cases of the following form: (MC1) Chump tosses an indeterministic coin and, whilst it is in mid-air, calls heads. The coin lands tails, and Chump loses. His betting was causally independent of the coin’s fall. Chump seems right to say: ‘If I had bet tails, I would have won.’1 (MC2).

We present a unified approach for investigating rational reasoning about basic argument forms involving indicative conditionals, counterfactuals, and basic quantified statements within coherence-based probability logic. After introducing the rationality framework, we present an interactive view on the relation between normative and empirical work. Then, we report a new experiment which shows that people interpret indicative conditionals and counterfactuals by coherent conditional probability assertions and negate conditionals by negating their consequents. The data support the conditional probability interpretation of conditionals and the (...) narrow-scope reading of the negation of conditionals. Finally, we argue that coherent conditional probabilities are important for probabilistic analyses of conditionals, nonmonotonic reasoning, quantified statements, and paradoxes. (shrink)

Many people seem to share some version of what has been called the “intuition of neutrality” aboutcreating new people, which, roughly, says that there exists a certain range of levels of well-beingsuch that creating people within this range is, in itself, morally neutral, but creating people with alevel of well-being outside this range is not morally neutral. In this paper, I will discuss differentinterpretations of this intuition, and specifically distinguish between what I will call counterfactualinterpretations and Do-interpretations of the intuition. (...) I will argue that it is hard to interpret theintuition in a way that does not give rise to antinatalist moral reasons, i.e. reasons favoring an emptyfuture population, when it comes to choices of social policy. In particular, this holds if we assume aconception of relevant outcomes of actions reflecting consequentialist moral intuitions. In the end, I will formulate a normative principle of welfare promotion which I argue respects the most plausiblecounterfactual version of the neutrality intuition. (shrink)