Weakly Aggregative Modal Logic (WAML) is a collection of disguised polyadic modal logics with n-ary modalities whose arguments are all the same. WAML has some interesting applications on epistemic logic and logic of games, so we study some basic model theoretical aspects of WAML in this paper. Specifically, we give a van Benthem-Rosen characterization theorem of WAML based on an intuitive notion of bisimulation and show that each basic WAML system Kn lacks Craig Interpolation.

This paper develops an account of the meaning of `ought', and the distinction between weak necessity modals (`ought', `should') and strong necessity modals (`must', `have to'). I argue that there is nothing specially ``strong'' about strong necessity modals per se: uses of `Must p' predicate the (deontic/epistemic/etc.) necessity of the prejacent p of the actual world (evaluation world). The apparent ``weakness'' of weak necessity modals derives from their bracketing whether the necessity of the prejacent is verified in the (...) actual world. `Ought p' can be accepted without needing to settle that the relevant considerations (norms, expectations, etc.) that actually apply verify the necessity of p. I call the basic account a modal-past approach to the weak/strong necessity modal distinction (for reasons that become evident). Several ways of implementing the approach in the formal semantics/pragmatics are critically examined. The account systematizes a wide range of linguistic phenomena: it generalizes across flavors of modality; it elucidates a special role that weak necessity modals play in discourse and planning; it captures contrasting logical, expressive, and illocutionary properties of weak and strong necessity modals; and it sheds light on how a notion of `ought' is often expressed in other languages. These phenomena have resisted systematic explanation. In closing I briefly consider how linguistic inquiry into differences among necessity modals may improve theorizing on broader philosophical issues. (shrink)

Some generic sentences seem to be true despite the fact that almost all the members of the relevant kind are exceptions. It’s controversial whether generics of this type express relatively weak generalizations or relatively strong ones. If the latter, then we’re systematically mistaken about their truth, but they make no trouble for our semantic theorizing. In this brief note, I present several arguments for the former: sentences of the relevant type are weak generics.

One difficulty in understanding recent debates is that not only have many terms been used to refer to weakness of will – “akrasia” and “incontinence” have often been used as synonyms of “weakness of will” – but quite different phenomena have been discussed in the literature. This is why the present entry starts with taxonomic considerations. The second section turns to the question of whether it is possible to freely and intentionally act against one’s better judgment.

Though the study of grounding is still in the early stages, Kit Fine, in ”The Pure Logic of Ground”, has made a seminal attempt at formalization. Formalization of this sort is supposed to bring clarity and precision to our theorizing, as it has to the study of other metaphysically important phenomena, like modality and vagueness. Unfortunately, as I will argue, Fine ties the formal treatment of grounding to the obscure notion of a weak ground. The obscurity of weak (...) ground, together with its centrality in Fine’s system, threatens to undermine the extent to which this formalization offers clarity and precision. In this paper, I show how to overcome this problem. I describe a system, the logic of strict ground (LSG) and demonstrate its adequacy; I specify a translation scheme for interpreting Fine’s weak grounding claims; I show that the interpretation verifies all of the principles of Fine’s system; and I show that derivability in Fine’s system can be exactly characterized in terms of derivability in LSG. I conclude that Fine’s system is reducible to LSG. (shrink)

A common objection to particular views of attributability is that they fail to account for weakness of will. In this paper, I show that the problem of weakness of will is much deeper than has been recognized, extending to all views of attributability on offer because of the general form that these views take. The fundamental problem is this: current views claim that being attributionally responsible is a matter of exercising whatever capacity that they take to be relevant to attributability; (...) however, weakness of will cases show that we can be attributionally responsible for actions that result from failing to exercise that capacity. I propose a novel solution that any view of attributability can and must take on board in order to be viable. The solution is to recognize that being attributionally responsible is not fundamentally a matter of exercising the attributability-relevant capacity but is rather a matter of having that capacity, so long as that capacity figures in the explanation of the action. (shrink)

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. This demonstrates that an inferentialist approach to meaning can be successfully extended beyond the core logical constants. (shrink)

Bernard Wills (2018) joins Christopher Brown (2017, 2018) in criticizing my defense of Weak Scientism (Mizrahi 2017a, 2017b, 2018a). Unfortunately, it seems that Wills did not read my latest defense of Weak Scientism carefully, nor does he cite any of the other papers in my exchange with Brown.

Proponents of corporate moral responsibility take certain corporations to be capable of being responsible in ways that do not reduce to the responsibility of their members. If correct, one follow-up question concerns what leads corporations to fail to meet their obligations. We often fail morally when we know what we should do and yet fail to do it, perhaps out of incontinence, akrasia, or weakness of will. However, this kind of failure is much less discussed in the corporate case. And, (...) where it is discussed, the view is that corporations are less prone to weakness. Here, I argue that proponents of corporate responsibility should say that corporations can and often do instantiate weakness of the will, and that this is important to recognize. Weakness of the will requires certain capacities that these proponents typically take corporations to have. And once this is appreciated, we can assess how corporate weakness might proceed differently than how it does for individuals. We can also begin a conversation about how best to meet the distinctive challenges for recognizing and correcting corporate weakness, using a number of resources from management scholarship. (shrink)

The phenomenon of weakness of will – not doing what we perceive as the best action – is not recognized by neoclassical economics due to the axiomatic assumptions of the revealed preference theory (RPT) that people do what is best for them. However, present bias shows that people have different preferences over time. As they cannot be compared by the utility measurements, economists need to normatively decide between selves (short- versus long-term preferences). A problem is that neoclassical economists perceive RPT (...) as value-free and incorporate present bias within the economic framework. The axiomatic assumption that people do what is best for them leads to theoretical and practical dilemmas. This work examines weakness of will to resolve some shortcomings of RPT. The concept of intention is used to provide multiple self conception with the framework to decide between selves, which had not been done before. The paper concludes that individuals should not always follow their revealed preferences (desires) but the intentions (reason) because the latter indicates what people really want. (shrink)

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 complete, show that it axiomatizes the modal logic KD45 and prove that it still derives classical logic on its asserted fragment. Finally, we defend previous logics of strong rejection as being about the linguistically preferred interpretations of weak rejections. (shrink)

Informally speaking, a truthmaker is something in the world in virtue of which the sentences of a language can be made true. This fundamental philosophical notion plays a central role in applied ontology. In particular, a recent nonorthodox formulation of this notion proposed by the philosopher Josh Parsons, which we labelled weak truthamking, has been shown to be extremely useful in addressing a number of classical problems in the area of Conceptual Modeling. In this paper, after revisiting the classical (...) notion of truthmaking, we conduct an in depth analysis of Parsons’ account of weak truthmaking. By doing that, we expose some difficulties in his original formulation. As the main contribution of this paper, we propose solutions to address these issues which are then integrated in a new precise interpretation of truthmaking that is harmonizable with. (shrink)

Recently, many philosophers have been interested in using locative relations to clarify and pursue debates in the metaphysics of material objects. Most begin with the relation of exact location. But what if we begin instead with the relation known as weak location – the relation an object x bears to any region not completely bereft of x? I explore some of the consequences of pursuing this route for issues including coincidence, extended simples, and endurance, with an eye to evaluating (...) the prospects for taking weak location as our fundamental locative relation. (shrink)

This paper generalizes rationalizability of a choice function by a single acyclic binary relation to rationalizability by a set of such relations. Rather than selecting those options in a menu that are maximal with respect to a single binary relation, a weakly pseudo-rationalizable choice function selects those options that are maximal with respect to at least one binary relation in a given set. I characterize the class of weakly pseudo-rationalizable choice functions in terms of simple functional properties. This result also (...) generalizes Aizerman and Malishevski's characterization of pseudo-rationalizable choice functions, that is, choice functions rationalizable by a set of total orders. (shrink)

There are well-known quasi-formal arguments that identity is a "strict" relation in at least the following three senses: (1) There is a single identity relation and a single distinctness relation; (2) There are no contingent cases of identity or distinctness; and (3) There are no vague or indeterminate cases of identity or distinctness. However, the situation is less clear cut than it at first may appear. There is a natural formal theory of identity that is very close to the standard (...) classical theory but which does not validate the formal analogues of (1)-(3). The core idea is simple: We weaken the Principle of the Indiscernibility of Identicals from a conditional to an entailment and we adopt a weakly classical logic. This paper investigates this weakly classical theory of identity (and related theories) and discusses its philosophical ramifications. It argues that we can accept a reasonable theory of identity without committing ourselves to the uniqueness, necessity, or determinacy of identity. (shrink)

This paper shows that our popular account of weakness of will is inconsistent with dilemmas. In dilemmas, agents judge that they ought to do one thing, that they ought to do something else, and that they cannot do both. They must act against either of their two judgments. But such action is commonly understood as weakness of will. An agent is weak-willed in doing something if she judges that she ought to and could do something else instead. Thus, it (...) seems that, in a dilemma, the agent is weak-willed by definition. But this is puzzling: clearly, the two are different phenomena. The puzzle may support scepticism about weakness of will or dilemmas. Here, I argue that the two are consistent on a revised understanding of weakness of will. To do so, I further distinguish the mental states of an agent in a dilemma from those of a weak-willed person. (shrink)

Some authors have argued that, in order to give an account of weakness of the will, we must assume that the mind is divisible into parts. This claim is often referred to as the partitioning claim. There appear to be two main arguments for this claim. While the first is conceptual and claims that the notion of divisibility is entailed by the notion of non-rational mental causation (which is held to be a necessary condition of weakness of the will), the (...) second is explanatory and claims that the notion of divisibility is required for the causal explanation of weak-willed action. In this paper I want to argue that the partitioning claim remains unsupported, no matter how it is interpreted, and that weakness of the will can be made perfectly good sense of without the idea that the mind is divisible into parts. In fact, there are available various explanatory models each of which characterizes different psychological mechanisms that may be involved in weakness of will, none of which depends on any claims about mental division. I describe three familiar mechanisms and argue that weakness of will may occur as the result of any one of them. (shrink)

Modifying the descriptive and theoretical generalizations of Relativized Minimality, we argue that a significant subset of weak island violations arise when an extracted phrase should scope over some intervener but is unable to. Harmless interveners seem harmless because they can support an alternative reading. This paper focuses on why certain wh-phrases are poor wide scope takers, and offers an algebraic perspective on scope interaction. Each scopal element SE is associated with certain operations (e.g., not with complements). When a wh-phrase (...) scopes over some SE, the operations associated with that SE are performed in its denotation domain. The requisite operations may or may not be available in a domain, however. We present an empirical analysis of a variety of wh-phrases. It is argued that the wh-phrases that escape all weak islands (i.e., can scope over any intervener) are those that range over individuals, the reason being that all Boolean operations are defined for their domain. Collectives, manners, amounts, numbers, etc. all denote in domains with fewer operations and are thus selectively sensitive to scopal interveners—a “semantic relativized minimality effect”. (shrink)

The unconditional version of motivational internalism says that if an agent sincerely judges that to φ in circumstances C is the best option available to her, then, as a matter of conceptual necessity, she will be motivated to φ in C. This position faces a powerful counterargument according to which it is possible for various cases of practical irrationality to completely defeat an agent’s moral motivation while, at the same time, leaving her appreciation of her moral reasons intact. In this (...) paper, I will argue that weakness of will, as the paradigmatic case of practical irrationality, and all other cases of practical irrationality that feature in standard formulations of this argument do not represent genuine counterexamples to this version of motivational internalism. In this sense, the main aim of this paper is to show that proponents of this internalist position are well justified in their denial of the claim that there are people who are completely unmotivated by their judgments about what is the best option available to them. (shrink)

Prior work on weakness of will has assumed that it is a thoroughly psychological phenomenon. At least, it has assumed that ordinary attributions of weakness of will are purely psychological attributions, keyed to the violation of practical commitments by the weak-willed agent. Debate has recently focused on which sort of practical commitment, intention or normative judgment, is more central to the ordinary concept of weakness of will. We report five experiments that significantly advance our understanding of weakness of will (...) attributions by showing that the ordinary concept of weakness of will is less thoroughly psychological than the philosophical debate has assumed. We begin by showing that a sizable minority of people attribute weakness of will even in the absence of a violated commitment (Experiment 1). We then show that weakness of will attributions are sensitive to two important non-psychological factors. First, for actions stereotypically associated with weakness of will, the absence of certain commitments often triggers weakness of will attributions (Experiments 2–4). Second, the quality of an action’s outcome affects the extent to which an agent is viewed as weak-willed: actions with bad consequences are more likely to be viewed as weak-willed (Experiment 5). Our most important finding is that the ordinary concept of weakness of will is sensitive to two non-psychological factors and is thus much broader than philosophers have thus far imagined. We conclude by suggesting a two-tier model that unites our findings with traditional philosophical theorizing about weakness of will. (shrink)

This paper develops an update semantics for weak necessity modals like ‘ought’ and ‘should’. I start with the basic approach to the weak/strong necessity modal distinction developed in Silk 2018: Strong necessity modals are given their familiar semantics of necessity, predicating the necessity of the prejacent of the actual world (evaluation world). The apparent “weakness” of weak necessity modals derives from their bracketing the assumption that the relevant worlds in which the prejacent is necessary (deontically, epistemically, etc.) (...) need be candidates for actuality. ‘Should φ’ can be accepted without needing to settle that the relevant considerations (norms, preferences, expectations, etc.) that actually apply, given the facts, verify the necessity of φ. I formalize these ideas within an Update with Centering framework. The meaning of ‘Should φ’ is explained, fundamentally, in terms of how its use updates attention toward possibilities in which φ is necessary. The semantics is also extended to deontic conditionals. The proposed analyses capture various contrasting logical properties and discourse properties of ‘should’ and ‘must’ — e.g., in sensitivities to standing contextual assumptions, entailingness, and force — and provide an improved treatment of largely neglected data concerning information-sensitivity. (shrink)

How should addictive behavior be explained? In terms of neurobiological illness and compulsion, or as a choice made freely, even rationally, in the face of harmful social or psychological circumstances? Some of the disagreement between proponents of the prevailing medical models and choice models in the science of addiction centres on the notion of “loss of control” as a normative characterization of addiction. In this article I examine two of the standard interpretations of loss of control in addiction, one according (...) to which addicts have lost free will, the other according to which their will is weak. I argue that both interpretations are mistaken and propose therefore an alternative based on a dual-process approach. This alternative neither rules out a capacity in addicts to rationally choose to engage in drug-oriented behavior, nor the possibility that addictive behavior can be compulsive and depend upon harmful changes in their brains caused by the regular use of drugs. (shrink)

Recent work has argued that belief is weak: the level of rational credence required for belief is relatively low. That literature has contrasted belief with assertion, arguing that the latter requires an epistemic state much stronger than (weak) belief---perhaps knowledge or even certainty. We argue that this is wrong: assertion is just as weak as belief. We first present a variety of new arguments for this, and then show that the standard arguments for stronger norms are not (...) convincing. Finally, we sketch an alternative picture on which the fundamental norm of assertion is to say what you believe, but both belief and assertion are weak. To help make sense of this, we propose that both belief and assertion involve navigating a tradeoff between accuracy and informativity, and so it can makes sense to believe/say something you only have weak evidence for, if it is informative enough. (shrink)

Bedau's influential (1997) account analyzes weak emergence in terms of the non-derivability of a system’s macrostates from its microstates except by simulation. I offer an improved version of Bedau’s account of weak emergence in light of insights from information theory. Non-derivability alone does not guarantee that a system’s macrostates are weakly emergent. Rather, it is non-derivability plus the algorithmic compressibility of the system’s macrostates that makes them weakly emergent. I argue that the resulting information-theoretic picture provides a metaphysical (...) account of weak emergence rather than a merely epistemic one. (shrink)

In my (2017a), I defend a view I call Weak Scientism, which is the view that knowledge produced by scientific disciplines is better than knowledge produced by non-scientific disciplines. Scientific knowledge can be said to be quantitatively better than non-scientific knowledge insofar as scientific disciplines produce more impactful knowledge–in the form of scholarly publications–than non-scientific disciplines (as measured by research output and research impact). Scientific knowledge can be said to be qualitatively better than non-scientific knowledge insofar as such knowledge (...) is explanatorily, instrumentally, and predictively more successful than non-scientific knowledge. Brown (2017a) raises several objections against my defense of Weak Scientism and I have replied to his objections (Mizrahi 2017b), thereby showing again that Weak Scientism is a defensible view. Since then, Brown (2017b) has reiterated his objections in another reply on SERRC. In this paper, I respond to Brown's objections, thereby showing once more that Weak Scientism is a defensible view. (shrink)

In abstract algebraic logic, many systems, such as those paraconsistent logics taking inspiration from da Costa's hierarchy, are not algebraizable by even the broadest standard methodologies, as that of Blok and Pigozzi. However, these logics can be semantically characterized by means of non-deterministic algebraic structures such as Nmatrices, RNmatrices and swap structures. These structures are based on multialgebras, which generalize algebras by allowing the result of an operation to assume a non-empty set of values. This leads to an interest in (...) exploring the foundations of multialgebras applied to the study of logic systems. -/- It is well known from universal algebra that, for every signature Sigma, there exist algebras over Sigma which are absolutely free, meaning that they do not satisfy any identities or, alternatively, satisfy the universal mapping property for the class of Sigma-algebras. Furthermore, once we fix a cardinality of the generating set, they are, up to isomorphisms, unique, and equal to algebras of terms (or propositional formulas, in the context of logic). Equivalently, the forgetful functor, from the category of Sigma-algebras to Set, has a left adjoint. This result does not extend to multialgebras. Not only multialgebras satisfying the universal mapping property do not exist, but the forgetful functor U, from the category of Sigma-multialgebras to Set, does not have a left adjoint. -/- In this paper we generalize, in a natural way, algebras of terms to multialgebras of terms, whose family of submultialgebras enjoys many properties of the former. One example is that, to every pair consisting of a function, from a submultialgebra of a multialgebra of terms to another multialgebra, and a collection of choices (which selects how a homomorphism approaches indeterminacies), there corresponds a unique homomorphism, what resembles the universal mapping property. Another example is that the multialgebras of terms are generated by a set that may be viewed as a strong basis, which we call the ground of the multialgebra. Submultialgebras of multialgebras of terms are what we call weakly free multialgebras. Finally, with these definitions at hand, we offer a simple proof that multialgebras with the universal mapping property for the class of all multialgebras do not exist and that U does not have a left adjoint. (shrink)

I present an intractable puzzle for the currently popular view that belief is weak—the view that expressions like ‘S believes p’ ascribe to S a doxastic attitude towards p that is rationally compatible with low credence that p. The puzzle concerns issues that arise on considering beliefs in conditionals. I show that proponents of weak belief either cannot consistently apply their preferred methodology when accommodating beliefs in conditionals, or they must deny that beliefs in conditionals can be used (...) in reasoning. (shrink)

First aim of this paper is to show that Evidentialism, when paired with a Psychologistic ontology of evidence, is unable to account for ordinary cases of inferential justification. As many epistemologists have maintained, however, when it is paired with a Propositionalist ontology of evidence, Evidentialism is unable to explain in a satisfactory way ordinary cases of perceptual justification. So, the Evidentialist is faced with a dilemma. Second aim of this paper is to give an argument in favour of Propositionalism about (...) evidence, and so to motivate the conclusion that perceptual justification must be accounted for in non-evidentialist terms. By this I do not mean to defend a strongly Non-Evidentialist epistemology, according to which there are doxastic attitudes which are unsupported by any justifier. More modestly, I aim to motivate the weakly Non-Evidentialist epistemology according to which a subject’s perceptual beliefs may be justified by non-evidential justifiers. I conclude the paper by explaining why I believe that Pryor's dogmatism supplies a model for the way in which an internalist who is persuaded by my argument might want to detail her weakly Non-Evidentialist account of perceptual justification. (shrink)

We report two experiments exploring the perception of how contemporary philosophy is often conducted. We find that (1) participants associate philosophy with the practice of conducting thought experiments and collating intuitions about them, and (2) that this form of inquiry is viewed much less favourably than the typical form of inquiry in psychology: research conducted by teams using controlled experiments and observation. We also found (3) an effect whereby relying on intuition is viewed more favorably in the context of team (...) inquiry than in individual inquiry and (4) that greater prior exposure to philosophy lowered one’s opinion of inquiry driven by intuitions and thought experiments. Finally with respect to participant gender, we found that (5) women favored observation over intuition more than men did, and (6) tended to view a question pursued by a research team as more important than men viewed it. (shrink)

In this paper we consider Mark Bedau’s notion of weak emer- gence (WE) and relate it to various attempts to objectively construe complexity. We argue that the heavy reliance on a specific notion of complexity risks rendering the concept superfluous. Furthermore we discuss what sort of systems might reasonably be understood as exhibiting emergence at all and point out that the macro-level needs to be at least min- imally structured. A worry may thus be formed that macro- level generalisations (...) provide the sort of short-cut that is ex- plicitly excluded from WE thus potentially making the con- cept apply only to chaotic systems of limited interest (in this context). (shrink)

This paper presents a semantical analysis of the Weak Kleene Logics Kw3 and PWK from the tradition of Bochvar and Halldén. These are three-valued logics in which a formula takes the third value if at least one of its components does. The paper establishes two main results: a characterisation result for the relation of logical con- sequence in PWK – that is, we individuate necessary and sufficient conditions for a set.

In “What’s So Bad about Scientism?” (Mizrahi 2017), I argue that Weak Scientism, the view that “Of all the knowledge we have, scientific knowledge is the best knowledge” (Mizrahi 2017, 354; emphasis in original) is a defensible position. That is to say, Weak Scientism “can be successfully defended against objections” (Mizrahi 2017, 354). In his response to Mizrahi (2017), Christopher Brown (2017) provides more objections against Weak Scientism, and thus another opportunity for me to show that (...) class='Hi'>Weak Scientism is a defensible position, which is what I will do in this reply. In fact, I think that I have already addressed Brown’s (2017) objections in Mizrahi (2017), so I will simply highlight these arguments here. (shrink)

Mental conflict not always amounts to weakness of will. Irresistible motives not always speak of addiction. This book proposes an integrated account of what singles out these phenomena: addiction and weakness of will are both forms of secondary akrasia. By integrating these two phenomena into a classical conception of akrasia as poor resolution of an unnecessary conflict – valuing without intending while intending without valuing – the book makes an original contribution to central issues in moral psychology and philosophy of (...) action, including the relationship between responsibility and intentional agency, and the nature and scope of moral appraisal. In particular, the proposed integrated account is grounded in a general theory of responsibility and a related model of action as actualisation bringing together insights from both volitional and non-volitional conceptions, such as the intuition that it is unfair to hold a person responsible for things that are not up to her and the parity of actions and attitudes as legitimate objects of moral appraisal. Furthermore, the actualisation model supports a distinctive version of the Guise of the Good thesis which links valuing and intending in terms of success in action and explains why akratic actions and their offspring – addiction and weakness of will – are necessarily less than successful yet fully responsible. (shrink)

Saunders' recent arguments in favour of the weak discernibility of (certain) quantum particles seem to be grounded in the 'generalist' view that science only provides general descriptions of the worlIn this paper, I introduce the ‘generalist’ perspective and consider its possible justification and philosophical basis; and then look at the notion of weak discernibility. I expand on the criticisms formulated by Hawley (2006) and Dieks and Veerstegh (2008) and explain what I take to be the basic problem: that (...) the properties invoked by Saunders cannot be pointed to as ‘individuators’ of otherwise indiscernible (and thus numerically identical) entities because their ontological status remains underdetermined by the evidence and the established interpretation of the theory. In addition to to this, I suggest that Saunders does not deal adequately with bosons, and cannot do so exactly because he subscribes to PII and the generalist picture. The last part of the paper contains a critical examination of the claim (or at least implicit assumption) that the generalist picture should be regarded as obviously compelling by the modern-day empiricist. (shrink)

A prevailing thought is that generics have a covert modal operator at logical form. I claim that if this is right, the covert generic modality is a weak necessity modal. In this paper, I pr...

A consequence relation is strongly classical if it has all the theorems and entailments of classical logic as well as the usual meta-rules (such as Conditional Proof). A consequence relation is weakly classical if it has all the theorems and entailments of classical logic but lacks the usual meta-rules. The most familiar example of a weakly classical consequence relation comes from a simple supervaluational approach to modelling vague language. This approach is formally equivalent to an account of logical consequence according (...) to which α1, ..., αn entails β just in case □α1, ..., □αn entails □β in the modal logic S5. This raises a natural question: If we start with a different underlying modal logic, can we generate a strongly classical logic? This paper explores this question. In particular, it discusses four related technical issues: (1) Which base modal logics generate strongly classical logics and which generate weakly classical logics? (2) Which base logics generate themselves? (3) How can we directly characterize the logic generated from a given base logic? (4) Given a logic that can be generated, which base logics generate it? The answers to these questions have philosophical interest. They can help us to determine whether there is a plausible supervaluational approach to modelling vague language that yields the usual meta-rules. They can also help us to determine the feasibility of other philosophical projects that rely on an analogous formalism, such as the project of defining logical consequence in terms of the preservation of an epistemic status. (shrink)

Our paper presents a novel theory of weak crossover effects, based entirely on quantifier scope preferences and their consequences for variable binding. The structural notion of 'crossover' play no role. We develop a theory of scope preferences which ascribes a central role to the AGR-P System.

Agnosticism has had some bad press in recent years. Nonetheless, I hope to show that agnosticism can be so formulated that it is no less philosophically respectable than theism and atheism. This is not a mere philosophical exercise; for, as it happens, the formulated position is--I think--the one to which I subscribe. I include a qualification here since it may be that the position to which I subscribe is better characterised as fallibilist atheism--but more of that anon.

It is well known that the following features hold of AR + T under the strong Kleene scheme, regardless of the way the language is Gödel numbered: 1. There exist sentences that are neither paradoxical nor grounded. 2. There are 2ℵ0 fixed points. 3. In the minimal fixed point the weakly definable sets (i.e., sets definable as {n∣ A(n) is true in the minimal fixed point where A(x) is a formula of AR + T) are precisely the Π1 1 sets. (...) 4. In the minimal fixed point the totally defined sets (sets weakly defined by formulae all of whose instances are true or false) are precisely the ▵1 1 sets. 5. The closure ordinal for Kripke's construction of the minimal fixed point is ωCK 1. In contrast, we show that under the weak Kleene scheme, depending on the way the Gödel numbering is chosen: 1. There may or may not exist nonparadoxical, ungrounded sentences. 2. The number of fixed points may be any positive finite number, ℵ0, or 2ℵ0 . 3. In the minimal fixed point, the sets that are weakly definable may range from a subclass of the sets 1-1 reducible to the truth set of AR to the Π1 1 sets, including intermediate cases. 4. Similarly, the totally definable sets in the minimal fixed point range from precisely the arithmetical sets up to precisely the ▵1 1 sets. 5. The closure ordinal for the construction of the minimal fixed point may be ω, ωCK 1, or any successor limit ordinal in between. In addition we suggest how one may supplement AR + T with a function symbol interpreted by a certain primitive recursive function so that, irrespective of the choice of the Godel numbering, the resulting language based on the weak Kleene scheme has the five features noted above for the strong Kleene language. (shrink)

According to the Weak Supplementation Principle (WSP)—a widely received principle of mereology—an object with a proper part, p , has another distinct proper part that doesn't overlap p . In a recent article in this journal, Nikk Effingham and Jon Robson employ WSP in an objection to endurantism. I defend endurantism in a way that bears on mereology in general. First, I argue that denying WSP can be motivated apart from the truth of endurantism. I then go on to (...) offer an explanation of WSP's initial appeal, argue that denying WSP fails to have untoward consequences for the rest of mereology, and show that the falsity of WSP is consistent with a primary guiding thought behind it. (shrink)

Indirect speech reports can be true even if they attribute to the speaker the saying of something weaker than what she in fact expressed, yet not all weakenings of what the speaker expressed yield true reports. For example, if Anna utters ‘Bob and Carla passed the exam’, we can accurately report her as having said that Carla passed the exam, but we can not accurately report her as having said that either it rains or it does not, or that either (...) Carla passed the exam or pandas are cute. This paper offers an analysis of speech reports that distinguishes weakenings of what the speaker expressed that yield true reports from weakenings that do not. According to this analysis, speech reports are not only sensitive to the informational content of what the speaker expressed, but also to the possibilities a speaker raises in making an utterance. As I argue, this analysis has significant advantages over its most promising competitors, including views based on work by Barwise and Perry : 668–691, 1981), views appealing to recent work on the notion of content parthood by Fine :199–226, 2016) and Yablo, and Richard’s : 605–616, 1998) proposal appealing to structured propositions. (shrink)

In this article, I develop an Aristotelian account of akrasia as a primary failure of intentional agency in contrast to a phenomenon I refer to as ‘ordinary weakness of will’: I argue that ordinary weakness of will is best understood as a secondary failure of intentional agency, that to tackle akrasia.

Notions of agency and of weakness of will clearly seem to be related to one another. This essay takes on a rather modest task in relation to current discussion of these topics; it seeks to establish the following claim: If A is a normal human agent, weakness of will is possible for A. The argument relies on demonstrating that certain necessary conditions for normal human agency are at least roughly equivalent to certain sufficient conditions for weakness of will. The connection (...) between agency and weakness of will is made through the use of an extended example that lays bare the links between the two. (shrink)

How does our language relate to reality? This is a question that is especially pertinent in set theory, where we seem to talk of large infinite entities. Based on an analogy with the use of models in the natural sciences, we argue for a threefold correspondence between our language, models, and reality. We argue that so conceived, the existence of models can be underwritten by a weak notion of existence, where weak existence is to be understood as existing (...) in virtue of language. (shrink)

One common objection against the Principle of Sufficient Reason is that it leads to a highly counterintuitive position, namely, necessitarianism. In this paper, drawing on Avicenna’s modal theory, I differentiate between two versions of necessitarianism: strong necessitarianism and weak necessitarianism. I argue that the modal intuition driving this objection pertains to strong necessitarianism, while the Principle of Sufficient Reason, at most, leads to weak necessitarianism.

In this paper I provide a preliminary account of weakness of political will (political akrasia). My aim is to use theories from the weakness of will literature as a guide to develop a model of the same phenomenon as it occurs in collective agents. Though the account will parallel the traditional view of weakness of will in individuals, weakness of political will is a distinctly political concept that will apply to group agents such as governments, institutional actors, and other political (...) collectives. I further argue that blaming inaction by collective political agents on a “lack of political will” should be understood as blaming a kind of akratic break within the deliberative process, leading to an inability of the collective agent to capitalize on existing group attitudes in order to translate them into policy or legislation. My primary example throughout will be U.S. political inaction with respect to the climate crisis. (shrink)

This paper is my best attempt to confute (Kantian) Modern Philosophy at its very core. This implies, of course, that in my view the principles of Critical Realism are Kantian. The basic arguments supporting Critical Realism are powerful: I have tried to show clearly their power, but also to expose clearly their putrid root. Section 3 on the principle of immanence offers the most important contribution in this undertaking. The arguments of critical realism studied in this paper are the following: (...) 1. The Notion of Experience 2. The Nature of Knowledge: Question and Inquiry 3. The Principle of Immanence 4. The Notion of Relation 5. Judgment as the Position of the Real. (shrink)

Orthodoxy holds that the difference between weakness of will and compulsion is a matter of the resistibility of an agent's effective motivation, which makes control-based views of agency especially well equipped to distinguish blameworthy weak-willed acts from non-blameworthy compulsive acts. I defend an alternative view that the difference between weakness and compulsion instead lies in the fact that agents would upon reflection give some conative weight to acting on their weak-willed desires for some aim other than to extinguish (...) them, but not to their compulsive desires. This view allows identificationist theorists of moral responsibility to explain why weak-willed actions, but not compulsive actions, are attributable to agents such that they can, in theory, be praised or blamed for them. After motivating and presenting the view in detail, I show how it has unique resources for explaining the ethics of managing one's compulsions. (shrink)