A focussed issue of The Reasoner on the topic of 'Infinitary Reasoning'. Owen Griffiths and A.C. Paseau were the guest editors.

This paper presents a uniform semantic treatment of nonmonotonic inference operations that allow for inferences from infinite sets of premises. The semantics is formulated in terms of selection functions and is a generalization of the preferential semantics of Shoham (1987), (1988), Kraus, Lehman, and Magidor (1990) and Makinson (1989), (1993). A selection function picks out from a given set of possible states (worlds, situations, models) a subset consisting of those states that are, in some sense, the most preferred ones. A (...) proposition α is a nonmonotonic consequence of a set of propositions Γ iff α holds in all the most preferred Γ-states. In the literature on revealed preference theory, there are a number of well-known theorems concerning the representability of selection functions, satisfying certain properties, in terms of underlying preference relations. Such theorems are utilized here to give corresponding representation theorems for nonmonotonic inference operations. At the end of the paper, the connection between nonmonotonic inference and belief revision, in the sense of Alchourrón, Gärdenfors, and Makinson, is explored. In this connection, infinitary belief revision operations that allow for the revision of a theory with a possibly infinite set of propositions are introduced and characterized axiomatically. (shrink)

We offer a model of moral reform and regeneration that involves a wrong-doer making two movements: on the one hand, he identifies with himself as the one who did the act, while he also intentionally moves away from that self (or set of desires and intentions) and moves toward a transformed identity. We see this model at work in the formal practice of contrition and reform in Christian and Buddhist rites. This paper is part of a broader project we are (...) undertaking on the philosophy of forgiveness. (shrink)

In this paper, I start by describing and examining the main results about the option of formalizing the Yablo Paradox in arithmetic. As it is known, although it is natural to assume that there is a right representation of that paradox in first order arithmetic, there are some technical results that give rise to doubts about this possibility. Then, I present some arguments that have challenged that Yablo’s construction is non-circular. Just like that, Priest (1997) has argued that such formalization (...) shows that Yablo’s Paradox involves implicit circularity. In the same direction, Beall (2001) has introduced epistemic factors in this discussion. Even more, Priest has also argued that the introduction of infinitary reasoning would be of little help. Finally, one could reject definitions of circularity in term of fixed-point adopting non-well-founded set theory. Then, one could hold that the Yablo paradox and the Liar paradox share the same non-well-founded structure. So, if the latter is circular, the first is too. In all such cases, I survey Cook’s approach (2006, forthcoming) on those arguments for the charge of circularity. In the end, I present my position and summarize the discussion involved in this volume. En este artículo, describo y examino los principales resultados vinculados a la formalización de la paradoja de Yablo en la aritmética. Aunque es natural suponer que hay una representación correcta de la paradoja en la aritmética de primer orden, hay algunos resultados técnicos que hacen surgir dudas acerca de esta posibilidad. Más aún, presento algunos argumentos que han cuestionado que la construcción de Yablo no sea circular. Así, Priest (1997) ha argumentado que la formalización de la paradoja de Yablo en la aritmética de primer orden muestra que la misma involucra implícitamente circularidad. En la misma dirección, Beall (2001) ha introducido factores epistémicos en esta discusión. Más aún, Priest ha también argumentado que la introducción de razonamiento infinitario como complemento de la formalización en la aritmética sería de poca ayuda. Finalmente, se podría rechazar todo intento de dar definiciones de circularidad en términos de puntos fijos adoptando teoría de conjuntos infundados. Entonces, se podría sostener que la paradoja de Yablo y la del mentiroso comparten la misma estructura infundada. Por eso, si la última es circular, también lo es la primera. En todos los casos, presento el enfoque de Roy Cook (2006, en prensa) sobre estos argumentos que atribuyen circularidad a la construcción de Yablo. En el final, presento mi posición y un breve resumen de la discusión involucrada en este volumen. (shrink)

Logical inferentialism maintains that the formal rules of inference fix the meanings of the logical terms. The categoricity problem points out to the fact that the standard formalizations of classical logic do not uniquely determine the intended meanings of its logical terms, i.e., these formalizations are not categorical. This means that there are different interpretations of the logical terms that are consistent with the relation of logical derivability in a logical calculus. In the case of the quantificational logic, the categoricity (...) problem is generated by the finite nature of the standard calculi and one direction in which it can be solved is to strengthen the deductive systems by adding infinitary rules (such as the ω-rule), i.e., to construct a full formalization. Another main direction is to provide a natural semantics for the standard rules of inference, i.e., a semantics for which these rules are categorical. My aim in this paper is to analyze some recent approaches for solving the categoricity problem and to argue that a logical inferentialist should accept the infinitary rules of inference for the first order quantifiers, since our use of the expressions “all” and “there is” leads us beyond the concrete and finite reasoning, and human beings do sometimes employ infinitary rules of inference in their reasoning. (shrink)

This short article discusses the fact that the word ‘ancestor’ features in certain arguments that a) are apparently logically valid, b) contain infinitely many premises, and c) are such that none of their finite sub-arguments are logically valid. The article's aim is to motivate, within its brief compass, the study of infinitary logics.

In this paper I argue for an association between impurity and explanatory power in contemporary mathematics. This proposal is defended against the ancient and influential idea that purity and explanation go hand-in-hand (Aristotle, Bolzano) and recent suggestions that purity/impurity ascriptions and explanatory power are more or less distinct (Section 1). This is done by analyzing a central and deep result of additive number theory, Szemerédi’s theorem, and various of its proofs (Section 2). In particular, I focus upon the radically impure (...) (ergodic) proof due to Furstenberg (Section 3). Furstenberg’s ergodic proof is striking because it utilizes intuitively foreign and infinitary resources to prove a finitary combinatorial result and does so in a perspicuous fashion. I claim that Furstenberg’s proof is explanatory in light of its clear expression of a crucial structural result, which provides the “reason why” Szemerédi’s theorem is true. This is, however, rather surprising: how can such intuitively different conceptual resources “get a grip on” the theorem to be proved? I account for this phenomenon by articulating a new construal of the content of a mathematical statement, which I call structural content (Section 4). I argue that the availability of structural content saves intuitive epistemic distinctions made in mathematical practice and simultaneously explicates the intervention of surprising and explanatorily rich conceptual resources. Structural content also disarms general arguments for thinking that impurity and explanatory power might come apart. Finally, I sketch a proposal that, once structural content is in hand, impure resources lead to explanatory proofs via suitably understood varieties of simplification and unification (Section 5). (shrink)

A brief article introducing *One True Logic*. The book argues that there is one correct foundational logic and that it is highly infinitary.

Often ZF practice includes the use of the meta-theoretical notion of classes as shorthand expressions or in order to simplify the understanding of conceptual resources. NBG theory expresses formally the internalization of this feature in set theory; in this case, classes, before used metatheoretically, will also be captured by quantifiers of the first order theory. Never- theless there is a widespread opinion that this internalization of classes is harmless. In this context, it is common to refer to the conservativeness of (...) NBG in relation to ZF as a sufficient condition to understand those theories as “equivalent”, attributing a sense of virtuality to the use of classes quantified in NBG. We believe, however, that a technique used to estab- lish relationships between theories is not necessarily neutral in relation to its results - so a conservativeness established through models have different meaning and depth of that rela- tionship established by finitary interpretations. We believe, therefore, that the way in which relationships between theories are established influences the analysis result. In the case of the relationship between NBG and ZF, since NBG is finitely axiomatizible and ZF not, we believe that we have sufficient reasons to assert that the use of different analysis tools may re- veal differences such as expressiveness, ontological commitment and logical conservativeness. Therefore, this project aims to clarify the relationship between these two theories through triangulations between them and the different analysis tools. The use of finitary techniques, in this case, may prove greater expressiveness and ontological commitment of NBG in relation to ZF - relation obscured by an infinitary approach. We believe that, through this research, we can contribute to the debate on the basis of mathematics, denaturalizing the supposedly “equivalent” use of NBG and ZF for this purpose. (shrink)

Our main goal is to investigate whether the infinitary rules for the quantifiers endorsed by Elia Zardini in a recent paper are plausible. First, we will argue that they are problematic in several ways, especially due to their infinitary features. Secondly, we will show that even if these worries are somehow dealt with, there is another serious issue with them. They produce a truth-theoretic paradox that does not involve the structural rules of contraction.

Some sensory experiences are pleasant, some unpleasant. This is a truism. But understanding what makes these experiences pleasant and unpleasant is not an easy job. Various difficulties and puzzles arise as soon as we start theorizing. There are various philosophical theories on offer that seem to give different accounts for the positive or negative affective valences of sensory experiences. In this paper, we will look at the current state of art in the philosophy of mind, present the main contenders, critically (...) compare and contrast them. In particular, we want to examine how they handle the reason-giving power of affective states. We will look into two representationalist proposals (Evaluativism and Imperativism) and a functionalist proposal, and argue that, contrary to their own advertisements, the representationalist proposals don’t have good accounts of why and how sensory affect can motivate, rationalize, and justify subsequent behavior and intentional mental activity. We will show that our own functionalist proposal does a much better job in this regard, and that when the representationalist proposals are modified to do a better job, they fare better not because of their representationalist credentials but due to their functionalist ones. (shrink)

This is a discussion of the state of discussion on pragmatic reasons for belief.

I defend the view that a reason for someone to do something is just a reason why she ought to do it. This simple view has been thought incompatible with the existence of reasons to do things that we may refrain from doing or even ought not to do. For it is widely assumed that there are reasons why we ought to do something only if we ought to do it. I present several counterexamples to this principle and reject some (...) ways of understanding "ought" so that the principle is compatible with my examples. I conclude with a hypothesis for when and why the principle should be expected to fail. (shrink)

This paper explores various subtleties in our ordinary thought and talk about normative reasons—subtleties which, if taken seriously, have various upshots, both substantive and methodological. I focus on two subtleties in particular. The first concerns the use of reason (in its normative sense) as both a count noun and as a mass noun, and the second concerns the context-sensitivity of normative reasons-claims. The more carefully we look at the language of reasons, I argue, the clearer its limitations and liabilities become. (...) The cumulative upshot is that although talk of reasons is intelligible and useful for the purposes of communication, we should be wary of placing much weight on it when engaging in substantive normative inquiry. By way of illustration, I consider some potential pitfalls of taking our talk of reasons too seriously, explaining how careful attention to the language of reasons undermines the main argument for moral particularism, Mark Schroeder’s recent defense of Humeanism about practical reasons, and the “reasons-first” program in metanormativity. (shrink)

What reasons do we have to use certain concepts and conceptions rather than others? Approaching that question in a methodologically humanistic rather than Platonic spirit, one might seek “reasons for concept use” in how well concepts serve the contingent human concerns of those who live by them. But appealing to the instrumentality of concepts in meeting our concerns invites the worry that this yields the wrong kind of reasons, especially if the relevant concerns are nonmoral ones. Drawing on Susan Wolf’s (...) work on the moral/nonmoral distinction and the neglected role of reasons of love, I argue that this worry is misplaced, and in fact overlooks some of our most important reasons to prefer certain concepts over others. Yet a lingering worry remains, namely that the value of concepts does not just lie in what they are good for. Drawing on another strand in Wolf’s work, I explore the question whether concepts can be valuable good-for-nothings, and show how this ultimately also underscores the importance of reasons of love as reasons for concept use. (shrink)

This article gives an overview of some recent debates about the relationship between reasons and rational requirements of coherence - e.g. the requirements to be consistent in our beliefs and intentions, and to intend what we take to be the necessary means to our ends.

Many philosophers have been attracted to the view that reasons are premises of good reasoning – that reasons to φ are premises of good reasoning towards φ-ing. However, while this reasoning view is indeed attractive, it faces a problem accommodating outweighed reasons. In this article, I argue that the standard solution to this problem is unsuccessful and propose an alternative, which draws on the idea that good patterns of reasoning can be defeasible. I conclude by drawing (...) out implications for the debate over pragmatic reasons for belief and other attitudes and for one influential form of reductionism about the normative. (shrink)

This chapter develops and defends an account of reason: to reason is to scrutinize one’s attitudes by consulting the perspectives of other persons. The principal attraction of this account is its ability to vindicate the unique of authority of reason. The chapter argues that this conception entails that reasoning is a robustly social endeavor—that it is, in the first instance, something we do with other people. It is further argued that such social endeavors presuppose mutual respect on the part (...) of those participating in them. The account therefore yields a form of Kantian constructivism: we have an unconditional duty of respect for persons because such a duty is implicit in the very nature of reasoning. -/- . (shrink)

This paper is a survey of the generalism-particularism debate and related issues concerning the relationship between normative reasons and moral principles.

The infinitary function of the truth predicate consists in its ability to express infinite conjunctions and disjunctions. A transparency principle for truth states the equivalence between a sentence and its truth predication; it requires an introduction principle—which allows the inference from “snow is white” to “the sentence ‘snow is white’ is true”—and an elimination principle—which allows the inference from “the sentence ‘snow is white’ is true” to “snow is white”. It is commonly assumed that a theory of truth needs (...) to satisfy a transparency principle to fulfil the infinitary function. Picollo and Schindler (Erkenntnis 83:899–928, 2017) argue against this idea. They prove that, given certain assumptions, an elimination principle is sufficient for the purpose. Then, they pose a challenge: to show why we should incorporate introduction principles to our theory of truth. In this essay I take on the challenge. I show that, given the authors’ assumptions, an introduction principle is also sufficient to perform the infinitary function. (shrink)

This paper investigates two puzzles in practical reason and proposes a solution to them. First, sometimes, when we are practically certain that neither of two alternatives is better than or as good as the other with respect to what matters in the choice between them, it nevertheless seems perfectly rational to continue to deliberate, and sometimes the result of that deliberation is a conclusion that one alternative is better, where there is no error in one’s previous judgment. Second, there are (...) striking differences between rational agents – some rational agents have most reason to pursue careers on Wall Street while others have most reason to take up a career in teaching, or scuba diving, or working for political causes. These differences aren’t plausibly explained by ‘passive’ facts about our psychology or their causal interaction with our environment; instead, these facts seem in some sense to ‘express who we are’. But what is this sense? These puzzles disappear if we adopt a novel view about the source of the normativity of reasons – some reasons are given to us and others are reasons in virtue of an act of will. We make certain considerations reasons through an act of will and thus sometimes make it true through an act of agency that we have most reason to do one thing rather than another. (shrink)

Political liberals ask citizens not to appeal to certain considerations, including religious and philosophical convictions, in political deliberation. We argue that political liberals must include a demanding requirement of intellectual modesty in their ideal of citizenship in order to motivate this deliberative restraint. The requirement calls on each citizen to believe that the best reasoners disagree about the considerations that she is barred from appealing to. Along the way, we clarify how requirements of intellectual modesty relate to moral reasons for (...) deliberative restraint. And we argue against attempts to weaken our requirement of intellectual modesty by emphasizing those moral reasons. (shrink)

This chapter argues that epistemic uses of the imagination are a sui generis form of reasoning. The argument proceeds in two steps. First, there are imaginings which instantiate the epistemic structure of reasoning. Second, reasoning with imagination is not reducible to reasoning with doxastic states. Thus, the epistemic role of the imagination is that it is a distinctive way of reasoning out what follows from our prior evidence. This view has a number of important implications (...) for the epistemology of the imagination. For one thing, it clarifies the epistemic role of widely invoked “constraints” on the imagination. For another, it highlights important and underappreciated disanalogies between how perceptual experiences and imaginings justify beliefs. Ultimately, the view that we can reason with imagination offers an illuminating and theoretically fruitful framework through which to understand the epistemic structure of the imagination. (shrink)

Normative explanations, which specify why things have the normative features they do, are ubiquitous in normative theory and ordinary thought. But there is much less work on normative explanation than on scientific or metaphysical explanation. Skow (2016) argues that a complete answer to the question why some fact Q occurs consists in all of the reasons why Q occurs. This paper explores this theory as a case study of a general theory that promises to offer us a grip on normative (...) explanation which is independent of particular normative theories. I first argue that the theory doesn’t give an adequate account of certain enablers of reasons which are important in normative explanation. I then formulate and reject three responses on behalf of the theory. But I suggest that since theories of this general sort have the right kind of resources to illuminate how normative explanation might be similar to and different from explanations in other domains, they nonetheless merit further exploration by normative theorists. (shrink)

[Significantly updated in Chapter 6 of Awareness and the Substructure of Knowledge] In order for a reason to justify an action or attitude it must be one that is possessed by an agent. Knowledge-centric views of possession ground our possession of reasons, at least partially, either in our knowledge of them or in our being in a position to know them. On virtually all accounts, knowing P is some kind of non-accidental true belief that P. This entails that knowing P (...) is a kind of non-accidental true representation that P. I outline a novel theory of the epistemic requirement on possession in terms of this more general state of non-accidental true representation. It is just as well placed to explain the motivations behind knowledge-centric views of possession, and it is also better placed to explain the extent of the reasons we possess in certain cases of deductive belief-updates and cases involving environmental luck. I conclude with three reflections. First, I indicate how my arguments generate a dilemma for Errol Lord’s view that possessing reasons is just a matter of being in a position to manifest one’s knowledge how to use them. Second, I explain how my view can simultaneously manage cases of environmental luck without falling prey to lottery cases. Finally, I sketch the direction for a further range of counterexamples to knowledge-centric theories of possession. (shrink)

For an agent to be motivated by a normatively perverse reason is to be motivated by a normative or evaluative thought as such which, if true, would count as such against the action that it motivates the agent to perform, or against the attitude that it motivates the agent to take. For example, that an action is morally wrong or prudentially bad counts, as such, against performing the action. When the thought that an action is morally wrong or prudentially bad (...) motivates me as such to perform the action, my motivating reason is normatively perverse. If being motivated by normatively perverse reasons is possible, then what, if anything, is wrong about it? I present and reject some accounts of what may be wrong about normative perversity. In the course of this discussion some desiderata emerge. Then I defend the suggestion that normative perversion is socially undesirable, in that it undermines certain valuable interpersonal and intrapersonal relations. Entering and maintaining these relations is constitutive of valuing people as beings to whom reasonable justification is owed. I show how this account satisfies the desiderata. (shrink)

The overall moral status of an option—whether it is required, permissible, forbidden, or something we really should do—is explained by competition between the contributory reasons bearing on that option and the alternatives. A familiar challenge for accounts of this competition is to explain the existence of latitude: there are usually multiple permissible options, rather than a single required option. One strategy is to appeal to distinctions between reasons that compete in different ways. Philosophers have introduced various kinds of non-requiring reasons (...) that do not generate requirements, even if they win the competition. This paper rejects two familiar versions of this strategy, one appealing to merely justifying reasons and one appealing to merely commendatory reasons. It offers a new account of how reasons compete that instead appeals to a sharp distinction between the reasons against an option and the reasons for the alternatives to that option. (shrink)

One of the popular albeit controversial ideas in the last century of moral philosophy is that what we ought to do is explained by our reasons. And one of the central features of reasons that accounts for their popularity among normative theorists is that they can conflict. But I argue that the fact that reasons conflict actually also poses two closely related problems for this popular idea in moral philosophy. The first problem is a generalization of a problem in deontic (...) logic concerning the existence of conflicting obligations. The second problem arises from a tension between the fact that reasons can conflict and a model of how reasons explain ‘ought’s that has been widely accepted. Having presented each of these problems, I develop a unified solution to them that is informed by results in both ethics and deontic logic. An important implication of this solution is that we must distinguish between derivative and nonderivative reasons and revise our conception how it is that reasons explain ‘ought’s. (shrink)

One leading approach to justification comes from the reliabilist tradition, which maintains that a belief is justified provided that it is reliably formed. Another comes from the ‘Reasons First’ tradition, which claims that a belief is justified provided that it is based on reasons that support it. These two approaches are typically developed in isolation from each other; this essay motivates and defends a synthesis. On the view proposed here, justification is understood in terms of an agent’s reasons for belief, (...) which are in turn analyzed along reliabilist lines: an agent's reasons for belief are the states that serve as inputs to their reliable processes. I show that this synthesis allows each tradition to profit from the other's explanatory resources. In particular, it enables reliabilists to explain epistemic defeat without abandoning their naturalistic ambitions. I go on to compare my proposed synthesis with other hybrid versions of reliabilism that have been proposed in the literature. (shrink)

This chapter argues that there is a particular kind of ‘internal’ commitment typically made in the context of romantic love relationships that has striking meta-normative implications for how we understand the role of the will in practical normativity. Internal commitments cannot plausibly explain the reasons we have in committed relationships on the usual model—as triggering reasons that are already there, in the way that making a promise triggers a reason via a pre-existing norm of the form ‘If you make a (...) promise to x, then you have a reason to x’. Instead, internal commitments are that in virtue of which one has the special reasons of committed relationships; they are the grounds of such reasons. In this way, the will is a source of practical normativity. (shrink)

Faith is a central attitude in Christian religious practice. The problem of faith and reason is the problem of reconciling religious faith with the standards for our belief-forming practices in general (‘ordinary epistemic standards’). In order to see whether and when faith can be reconciled with ordinary epistemic standards, we first need to know what faith is. This chapter examines and catalogues views of propositional faith: faith that p. It is concerned with the epistemology of such faith: what cognitive attitudes (...) does such faith require, what epistemic norms govern these attitudes, and whether Christian faith can ever adhere to them. (shrink)

What is involved in weighing normative reasons against each other? One attractive answer offers us the following Simple Picture: a fact is a reason for action when it bears to an action the normative relation of counting in its favour; this relation comes in different strengths or weights; the weights of the reasons for and against an action can be summed; the reasons for performing the action are sufficient when no other action is more strongly supported, overall; the reasons are (...) decisive when it is most strongly supported; one ought to perform the action there is most reason to perform; rational deliberation is weighing reasons correctly; and acting rationally is doing what one has sufficient reasons to do. This chapter investigates various ways in which, on examination, this Simple Picture appears to require modification and refinement. It examines some of the ways in which talk of the weight of a reason may need improvement, looks more closely at the relationship between reasons and rationality, and asks whether there are ways in which a reason can be defeated which are not kinds of outweighing. The conclusion is that while in some respects the Simple Picture does need to be corrected, in others the jury is out. (shrink)

According to Margaret Cavendish the entire natural world is essentially rational such that everything thinks in some way or another. In this paper, I examine why Cavendish would believe that the natural world is ubiquitously rational, arguing against the usual account, which holds that she does so in order to account for the orderly production of very complex phenomena (e.g. living beings) given the limits of the mechanical philosophy. Rather, I argue, she attributes ubiquitous rationality to the natural world in (...) order to ground a theory of the ubiquitous freedom of nature, which in turn accounts for both the world's orderly and disorderly behavior. (shrink)

According to the Reasoning View about normative reasons, facts about normative reasons for action can be understood in terms of facts about the norms of practical reasoning. I argue that this view is subject to an overlooked class of counterexamples, familiar from debates about Subjectivist theories of normative reasons. Strikingly, the standard strategy Subjectivists have used to respond to this problem cannot be adapted to the Reasoning View. I think there is a solution to this problem, however. (...) I argue that the norms of practical reasoning, like the norms of theoretical reasoning, are characteristically defeasible, in a sense I make precise. Recognizing this property of those norms makes space for a solution to the problem. The resulting view is in a way analogous to the familiar defeasibility theory of knowledge, but it avoids a standard objection to that theory. (shrink)

This paper argues that there is a particular kind of ‘internal’ commitment typically made in the context of romantic love relationships that has striking meta-normative implications for how we understand the role of the will in practical normativity. Internal commitments cannot plausibly explain the reasons we have in committed relationships on the usual model – as triggering reasons that are already there, in the way that making a promise triggers a reason via a pre-existing norm of the form ‘If you (...) make a promise to x, then you have a reason to x’. Instead, internal commitments are that in virtue of which one has the special reasons of committed relationships; they are the grounds of such reasons. In this way, the will is a source of practical normativity. (shrink)

Material traces of the past are notoriously inscrutable; they rarely speak with one voice, and what they say is never unmediated. They stand as evidence only given a rich scaffolding of interpretation which is, itself, always open to challenge and revision. And yet archaeological evidence has dramatically expanded what we know of the cultural past, sometimes demonstrating a striking capacity to disrupt settled assumptions. The questions we address in Evidential Reasoning are: How are these successes realized? What gives us (...) confidence in the credibility and robustness, the trustworthiness, of the evidential claims based on archaeological data? And, what constitute best practices in building evidential claims, critically scrutinizing them and putting them to work in archaeological contexts? Rather than retreat to abstractions about how how science operates in the ideal, we approach this question by interrogating a number of close-to-the-ground case studies with the aim of teasing out the wisdom embodied in archaeological practice. The cases we consider – of fieldwork, strategies for working with old evidence, and the role of external resources – illuminate the role of various types of inferential scaffolding and bring into focus practice-grounded epistemic norms that we believe serve archaeologists better than the all-or-nothing ideals of truth and objectivity that dominate programmatic debate. (shrink)

Spinoza’s account of reason in the Short Treatise has been largely neglected. That account, I argue, has at least four features which distinguish it from that of the Ethics: in the Short Treatise, (1) reason is more sharply distinguished from the faculty of intuitive knowledge, (2) reason deals with things as though they were ‘outside’ us, (3) reason lacks clarity and distinctness, and (4) reason has no power over many types of passions. I argue that these differences have a unified (...) explanation, consisting of a principle that Spinoza accepts in both works and a central change in his views. The principle is that whatever we find in ourselves has more power over us than anything which comes from outside, and the change is in making the objects of reason common things or common notions. Understanding this, I claim, sheds important light on the psychological and epistemological motivations behind Spinoza's mature doctrines. (shrink)

In ‘Public Reason and Prenatal Moral Status’ (2015), Jeremy Williams argues that the ideal of Rawlsian public reason commits its devotees to the radically permissive view that abortion ought to be available with little or no qualification throughout pregnancy. This is because the only (allegedly) political value that favours protection of the foetus for its own sake—the value of ‘respect for human life’—turns out not to be a political value at all, and so its invocation in support of considerations bearing (...) upon the permissibility of abortion is beyond public reason’s remit. Thus, it will scarcely if ever be legitimate to restrict women’s equality and bodily autonomy for the sake of the foetus, even at full term. In this paper, I argue that Williams fails to establish that Rawlsian reasonable citizens must endorse the radically permissive stance vis-à-vis abortion. Citizens can, I claim, reasonably accord the value of respect for human life weight, and indeed converge on the claim that it outweighs other salient political values, during later stages of gestation. Nevertheless, Williams’s argument gets something right in that it reveals why the value of respect for human life is inadmissible at the bar of public reason in early stages of pregnancy. But then, far from throwing Rawlsian public reason into disrepute, Williams’s argument actually (albeit inadvertently) provides arguably more compelling grounds than any hitherto rallied for endorsing Rawls’s much maligned claim that opposition to the duly qualified right to abortion in the first trimester of pregnancy is ‘unreasonable’. (shrink)

The paper has two aims. The first is to propose a general framework for organizing some central questions about normative practical reasons in a way that separates importantly distinct issues that are often run together. Setting out this framework provides a snapshot of the leading types of view about practical reasons as well as a deeper understanding of what are widely regarded to be some of their most serious difficulties. The second is to use the proposed framework to uncover and (...) diagnose what I believe is a structural problem that plagues the debate about practical reasons. A common move in the debate involves a proponent of one type of view offering what she and others proposing that type consider to be a devastating criticism of an opposing type of view, only to find that her criticism is shrugged off by her opponents as easy to answer, misguided, or having little significance for their view. This isn’t due to conceptual blindness or mere slavish devotion to a theory but something fundamental about the argumentative structure of a debate over genuinely shared issues. Hence, the debate about practical reasons suffers from argumentative gridlock. The proposed framework helps us to see why this is so, and what we might do to move beyond it. (shrink)

Epistemic reasons are mental states. They are not propositions or non-mental facts. The discussion proceeds as follows. Section 1 introduces the topic. Section 2 gives two concrete examples of how our topic directly affects the internalism/externalism debate in normative epistemology. Section 3 responds to an argument against the view that reasons are mental states. Section 4 presents two problems for the view that reasons are propositions. Section 5 presents two problems for the view that reasons are non-mental facts. Section 6 (...) argues that reasons are mental states. Section 7 responds to objections. (shrink)

Reasons internalists claim that facts about normative reasons for action are facts about which actions would promote an agent’s goals and values. Reasons internalism is popular, even though paradigmatic versions have moral consequences many find unwelcome. This article reconstructs an influential but understudied argument for reasons internalism, the “if I were you” argument, which is due to Bernard Williams and Kate Manne. I raise an objection to the argument and argue that replying to it requires reasons internalists to accept controversial (...) metaethical or epistemological commitments with which their theory has not traditionally been associated. (shrink)

I argue that unless belief is voluntary in a very strict sense – that is, unless credence is simply under our direct control – there can be no practical reasons to believe. I defend this view against recent work by Susanna Rinard. I then argue that for very similar reasons, barring the truth of strict doxastic voluntarism, there cannot be epistemic reasons to act, only purely practical reasons possessed by those whose goal is attaining knowledge or justified belief.

This paper introduces constitutivism about practical reason, which is the view that we can justify certain normative claims by showing that agents become committed to these claims simply in virtue of acting. According to this view, action has a certain structural feature – a constitutive aim, principle, or standard – that both constitutes events as actions and generates a standard of assessment for action. We can use this standard of assessment to derive normative claims. In short, the authority of certain (...) normative claims arises from the bare fact that we are agents. This essay explains the constitutivst strategy, surveys the extant attempts to generate constitutivist theories, and considers the problems and prospects for the theory. (shrink)

Let F be a fact in virtue of which an agent, S, is blameworthy for performing an act of A-ing. We advance a slightly qualified version of the following thesis: -/- (Reason) F is (at some time) a reason for S to feel guilty (to some extent) for A-ing. -/- Leaving implicit the qualification concerning extent, we claim as well: -/- (Desert) S's having this reason suffices for S’s deserving to feel guilty for A-ing. -/- We also advance a third (...) thesis connecting desert of feeling guilty with the fittingness of this response. -/- In light of our three theses, we address several claims that have been made regarding responsibility and desert. We take issue with the divorce of desert from responsibility. We find acceptable a claim regarding blameworthiness and reason to induce guilt, and we defend the idea that it is noninstrumentally good that one who is blameworthy be subject to a fitting feeling of guilt. We argue against a view on which desert of blame has a teleological dimension. (shrink)

In this paper intuitionistic set theory INC# in infinitary set theoretical language is considered. External induction principle in nonstandard intuitionistic arithmetic were derived. Non trivial application in number theory is considered.

An important advance in normativity research over the last decade is an increased understanding of the distinction, and difference, between normativity and rationality. Normativity concerns or picks out a broad set of concepts that have in common that they are, put loosely, guiding. For example, consider two commonly used normative concepts: that of a normative reason and that of ought. To have a normative reason to perform some action is for there to be something that counts in favour of performing (...) that action. Likewise with ought, when there is sufficient evidence for something, one ought to believe it (at least under normal circumstances). Not all guidance need be directed towards a specific state or a specific action. Subject to the requirements of normativity, too, are relations. It is commonly believed, for example, that we ought not to hold contradictory beliefs.1 At least some of the requirements that concern relations amongst an agent’s mental states are, or seem, distinctive. Agents who fail to satisfy these requirements are considered, at least to some degree, irrational. On many current views, being irrational is distinct in some way from not being how one ought to be; rationality is a concept distinct from normativity. Much of the literature on this topic over the last decade stems from attempts to capture the characteristic features of the requirements of rationality. Two influential views in particular did much to set the agenda. The first of these two was put forward John Broome.2 His view, the particulars of which I shall discuss in more detail below, is that the requirements of rationality could be expressed using a normative relation, which he calls a ‘normative requirement’. Normative requirements are conditionals governed by an all-thingsconsidered ought. In the case of rationality, the conditional is made up entirely of mental states.. (shrink)

Often, when one faces a choice between alternative actions, there are reasons both for and against each alternative. On one way of understanding these words, what one “ought to do all things considered (ATC)” is determined by the totality of these reasons. So, these reasons can somehow be “combined” or “aggregated” to yield an ATC verdict on these alternatives. First, various assumptions about this sort of aggregation of reasons are articulated. Then it is shown that these assumptions allow for the (...) proof of a “Reasons Aggregation Theorem” – parallel to John Harsanyi’s 1955 “Social Aggregation Theorem”. All reasons for action are grounded in reason-providing values; and, for every such reason-providing value, there is in principle a way of measuring how strongly this value counts against each alternative. The theorem tells us that the appropriate measure of how much reason ATC there is against each alternative is simply a weighted sum of the strengths with which these values count against that alternative; the agent ought not ATC to perform an action iff there is ATC more reason against it than against some available alternative. (shrink)