Let |$\textbf{A}$| be a |$BCK$|-algebra and |$f:A^{k}\rightarrow A$| a function. The main goal of this article is to give a necessary and sufficient condition for |$f$| to be compatible with respect to every relative congruence of |$\textbf{A}$|⁠. We extend this result in some related algebras, as e.g. in pocrims.

How do thought and language manage to be 'about' aspects of the world? J. Robert G. Williams investigates how representation arises out of a fundamentally non-representational world, showing the explanatory relations between the representational properties of language, of thought, and of perception and intention.

Decisions are made under uncertainty when there are distinct outcomes of a given action, and one is uncertain to which the act will lead. Decisions are made under indeterminacy when there are distinct outcomes of a given action, and it is indeterminate to which the act will lead. This paper develops a theory of (synchronic and diachronic) decision-making under indeterminacy that portrays the rational response to such situations as inconstant. Rational agents have to capriciously and randomly choose how to resolve (...) the indeterminacy relevant to a given choice-situation, but such capricious choices once made constrain how they will choose in the future. The account is illustrated by the case of self-interested action in situations where it is indeterminate whether you yourself will survive to benefit or suffer the consequences. The conclusion emphasizes some distinctive anti-hedging predictions of the account. (shrink)

Potential ethical issues can arise during the process of epidemiological classification. For example, unnatural infant deaths are classified as accidental deaths or homicides. Societal sensitivity to the physical abuse and neglect of children has increased over recent decades. This enhanced sensitivity could impact reported infant homicide rates. Infant homicide and accident mortality rates in boys and girls in the USA from 1940 to 2005 were analysed. In 1940, infant accident mortality rates were over 20 times greater than infant homicide rates (...) in both boys and girls. After about 1980, when the ratio of infant accident mortality rates to infant homicide rates decreased to less than five, and the sum of infant accident and homicide rates became relatively constant, further decreases in infant accident mortality rates were associated with increases in reported infant homicide rates. These findings suggest that the dramatic decline of accidental infant mortality and recent increased societal sensitivity to child abuse may be related to the increased infant homicide rates observed in the USA since 1980 rather than an actual increase in societal violence directed against infants. Ethical consequences of epidemiological classification, involving the principles of beneficence, non-maleficence and justice, are suggested by observed patterns in infant accidental deaths and homicides in the USA from 1940 to 2005. (shrink)

Might it be that world itself, independently of what we know about it or how we represent it, is metaphysically indeterminate? This article tackles in turn a series of questions: In what sorts of cases might we posit metaphysical indeterminacy? What is it for a given case of indefiniteness to be 'metaphysical'? How does the phenomenon relate to 'ontic vagueness', the existence of 'vague objects', 'de re indeterminacy' and the like? How might the logic work? Are there reasons for postulating (...) this distinctive sort of indefiniteness? Conversely, are there reasons for denying that there is indefiniteness of this sort? (shrink)

This article investigates the claim that some truths are fundamentally or really true — and that other truths are not. Such a distinction can help us reconcile radically minimal metaphysical views with the verities of common sense. I develop an understanding of the distinction whereby Fundamentality is not itself a metaphysical distinction, but rather a device that must be presupposed to express metaphysical distinctions. Drawing on recent work by Rayo on anti-Quinean theories of ontological commitments, I formulate a rigourous theory (...) of the notion. In the final sections, I show how this package dovetails with ' interpretationist' theories of meaning to give sober content to thought that some things — perhaps sets, or gerrymandered mereological sums — can be 'postulated into existence'. (shrink)

Revisionary theories of logic or truth require revisionary theories of mind. This essay outlines nonclassically based theories of rational belief, desire, and decision making, singling out the supervaluational family for special attention. To see these nonclassical theories of mind in action, this essay examines a debate between David Lewis and Derek Parfit over what matters in survival. Lewis argued that indeterminacy in personal identity allows caring about psychological connectedness and caring about personal identity to amount to the same thing. The (...) essay argues that Lewis's treatment of two of Parfit's puzzle cases—degreed survival and fission—presuppose different nonclassical treatments of belief and desire. (shrink)

Joyce (1998) gives an argument for probabilism: the doctrine that rational credences should conform to the axioms of probability. In doing so, he provides a distinctive take on how the normative force of probabilism relates to the injunction to believe what is true. But Joyce presupposes that the truth values of the propositions over which credences are defined are classical. I generalize the core of Joyce’s argument to remove this presupposition. On the same assumptions as Joyce uses, the credences of (...) a rational agent should always be weighted averages of truth value assignments. In the special case where the truth values are classical, the weighted averages of truth value assignments are exactly the probability functions. But in the more general case, probabilistic axioms formulated in terms of classical logic are violated—but we will show that generalized versions of the axioms formulated in terms of non-classical logics are satisfied. (shrink)

The question of the cognitive role of fictionality is this: what is the correct cognitive attitude to take to p, when it is fictional that p? We began by considering one answer to this question, implicit in the work of Kendall Walton, that the correct response to a fictional proposition is to imagine that proposition. However, this approach is silent in cases of fictional incompleteness, where neither p nor its negation are fictional. We argue that that Waltonians should embrace a (...) pluralistic account of the cognitive role of fictional incompleteness: in some cases of fictional incompleteness, we are permitted to resolve the incompleteness during our engagement with the target fiction, and in other cases, we are obliged not to resolve the incompleteness. But though pluralism is accommodated by Walton’s wider account of fictionality, it puts tension on his motivating idea that fictionality stands to the imagination as truth stands to belief. And so we develop a rival conception of the cognitive role of fictionality that is built around a different analogy: on this evidentialist approach, (known) fictionality stands to the imagination as evidence stands to credence. (shrink)

I outline and motivate a way of implementing a closest world theory of indicatives, appealing to Stalnaker's framework of open conversational possibilities. Stalnakerian conversational dynamics helps us resolve two outstanding puzzles for a such a theory of indicative conditionals. The first puzzle -- concerning so-called 'reverse Sobel sequences' -- can be resolved by conversation dynamics in a theoryneutral way: the explanation works as much for Lewisian counterfactuals as for the account of indicatives developed here. Resolving the second puzzle, by contrast, (...) relies on the interplay between the particular theory of indicative conditionals developed here and Stalnakerian dynamics. The upshot is an attractive resolution of the so-called "Gibbard phenomenon" for indicative conditionals. (shrink)

There are advantages to thrift over honest toil. If we can make do without numbers we avoid challenging questions over the metaphysics and epistemology of such entities; and we have a good idea, I think, of what a nominalistic metaphysics should look like. But minimizing ontology brings its own problems; for it seems to lead to error theory— saying that large swathes of common-sense and best science are false. Should recherche philosophical arguments really convince us to give all this up? (...) Such Moorean considerations are explicitly part of the motivation for the recent resurgence of structured metaphysics, which allow a minimal (perhaps nominalistic) fundamental ontology, while avoiding error-theory by adopting a permissive stance towards ontology that can be argued to be grounded in the fundamental. This paper evaluates the Moorean arguments, identifying key epistemological assumptions. On the assumption that Moorean arguments can be used to rule out error-theory, I examine deflationary ‘representationalist’ rivals to the structured metaphysics reaction. Quinean paraphrase, fictionalist claims about syntax and semantics are considered and criticized. In the final section, a ‘direct’ deflationary strategy is outlined and the theoretical obligations that it faces are articulated. The position advocated may have us talking a lot like a friend of structured metaphysics—but with a very different conception of what we’re up to. (shrink)

This paper outlines Lewis’s favoured foundational account of linguistic representation, and outlines and briefly evaluates variations and modifications. Section 1 gives an opinionated exegesis of Lewis’ work on the foundations of reference—his interpretationism. I look at the way that the metaphysical distinction between natural and non-natural properties came to play a central role in his thinking about language. Lewis’s own deployment of this notion has implausible commitments, so in section 2 I consider variations and alternatives. Section 3 briefly considers a (...) buck-passing strategy involving fine-grained linguistic conventions. (shrink)

This chapter outlines David Lewis's favored foundational account of linguistic representation, and outlines and briefly evaluates variations and modifications. It gives an opinionated exegesis of Lewis's work on the foundations of reference: his interpretationism. The author looks at the way that the metaphysical distinction between natural and non‐natural properties came to play a central role in his thinking about language. Lewis's own deployment of this notion has implausible commitments. The chapter briefly considers a buck‐passing strategy involving fine‐grained linguistic conventions. Lewis (...) was no fan of primitive intentionality. Much of the Lewisian framework remains attractive. The overall select‐and‐project method, with its promise to deal even‐handedly with all linguistic intentionality, and its epistemic tractability, should be retained. Post‐Lewisian interpretationism results from emphasizing and retaining some of the virtues of Lewis's original proposal promises (e.g. universality and epistemic tractability), while compromising on others (e.g. metaphysical principle). (shrink)

The seventeenth century was a period of extraordinary invention, discovery and revolutions in scientific, social and political orders. It was a time of expansive automation, biological discovery, rapid advances in medical knowledge, of animal trials and a questioning of the boundaries between species, human and non-human, between social classes, and of the assumed naturalness of political inequality. This book gives a tour through those objects, ordinary and extraordinary, which captivated the philosophical imagination of the single most important French philosopher of (...) this period, Rene Descartes. Deborah J. Brown and Calvin G. Normore document Descartes' attempt to make sense of the complex, composite objects of human and divine invention, consistent with the fundamental tenets of his metaphysical system. Their central argument is that, far from reducing all the categories of ordinary experience to the two basic categories of substance, mind and body, Descartes' philosophy recognises irreducible composites that resist reduction, and require their own distinctive modes of explanation. (shrink)

This essay explores the thesis that for vague predicates, uncertainty over whether a borderline instance x of red/large/tall/good is to be understood as practical uncertainty over whether to treat x as red/large/tall/good. Expressivist and quasi-realist treatments of vague predicates due to John MacFarlane and Daniel Elstein provide the stalking-horse. It examines the notion of treating/counting a thing as F , and links a central question about our attitudes to vague predications to normative evaluation of plans to treat a thing as (...) F . The essay examines how the account applies to normatively defective or contested terms. The final section raises a puzzle about the mechanics of MacFarlane’s detailed implementation for the case of gradable adjectives. (shrink)

In some sense, survival seems to be an intrinsic matter. Whether or not you survive some event seems to depend on what goes on with you yourself —what happens in the environment shouldn’t make a difference. Likewise, being a person at a time seems intrinsic. The principle that survival seems intrinsic is one factor which makes personal fission puzzles so awkward. Fission scenarios present cases where if survival is an intrinsic matter, it appears that an individual could survive twice over. (...) But it’s well known that standard notions of “intrinsicality” won’t do to articulate the sense in which survival is intrinsic, since ‘personhood’ appears to be a maximal property. We formulate a sense in which survival and personhood (and perhaps other maximal properties) may be almost intrinsic—a sense that would suffice, for example, to ground fission arguments. It turns out that this notion of almost-intrinsicality allows us to formulate a new version of the problem of the many. (shrink)

Why should we be means-end rational? Why care whether someone’s mental states exhibit certain formal patterns, like the ones formalized in causal decision theory? This paper establishes a dominance argument for these constraints in a finite setting. If you violate the norms of causal decision theory, then your desires will be aptness dominated. That is, there will be some alternative set of desires that you could have had, which would be more apt (closer to the actual values fixed by your (...) sensibility/ what you intrinsically care about) no matter which world is actual. If we care about having apt desires, then, we should never let ourselves violate these norms of means-end rationality. This argument shares a form with now-standard accuracy arguments for probabilism, opening up a new terrain for that discussion. I show that the foundational assumptions about the shape of accuracy and of aptness required to run the arguments for means-end rationality and for probabilism run closely parallel. I show the argument is robust under different theories of subjective actual value, including nonclassical treatments of indeterminacy in actual value; I show the argument may (but need not!) be generalized to objective theories of value. The upshot is that aptness-domination arguments for decision theories should be added to the philosophical playbook. (shrink)

And the first step of the Peripatetick argument is that, where Aristotle proveth the integrity and perfection of the World, telling us, that it is not a simple line, nor a bare superficies, but a body adorned with Longitude, Latitude and Profundity; and because there are no more dimensions but these three; the World having them, hath all, and having all, is to be concluded perfect. And again, that by simple length, that magnitude is constituted, which is called a line, (...) to which adding breadth, there is formed a Superficies, and yet further adding the altitude or profundity, there results the Body, and after these three the dimensions there is no passing farther, so that in these three the integrity, and to so speak, totality is terminated, which I might but with justice have required Aristotle to have proved to me by necessary consequences, the rather in regard he was able to do it very plainly and speedily. *Received 9. iii. 54. (shrink)

In recent work, Adlam (2022b), Chen & Goldstein (2022), and Meacham (2023) have defended accounts of laws that take laws to be primitive global constraints. A major advantage of these accounts is that they’re able to accommodate the many different kinds of laws that appear in physical theories. In this paper I’ll present these three accounts, highlight their distinguishing features, and note some key differences that might lead one to favor one of these accounts over the others. I’ll conclude by (...) briefly discussing a version of a “constraint” account that I think is especially attractive. (shrink)

How are permutation arguments for the inscrutability of reference to be formulated in the context of a Davidsonian truth-theoretic semantics? Davidson takes these arguments to establish that there are no grounds for favouring a reference scheme that assigns London to “Londres”, rather than one that assigns Sydney to that name. We shall see, however, that it is far from clear whether permutation arguments work when set out in the context of the kind of truth-theoretic semantics which Davidson favours. The principle (...) required to make the argument work allows us to resurrect Foster problems against the Davidsonian position. The Foster problems and the permutation inscrutability problems stand or fall together: they are one puzzle, not two. (shrink)

In this article the validity of transferring the Principle of Double Effect from the just war tradition to the domain of business is critically reviewed. If a case can be built for sufficient analogies between war and business, the principle of double effect can legitimately be transferred from war to business. If, on the other hand it can be shown that there are aspects in which business differs substantially from just war, then the transfer to business of a principle developed (...) within the context of war becomes more problematic. After exploring the nature of arguments of analogy and fallacious arguments of weak analogy some important disanalogies between war and business are highlighted. Given these disanalogies it is then contended that the just war background of the Principle of Double Effect had some bearing on both the content and manner of application of the Principle of Double Effect. Finally it is argued that these disanalogies require some revisions to the Principle of Double Effect with regard to both its content and its manner of application before it can be applied meaningfully to foreseeable negative side-effects of business. S. Afr. J. Philos. Vol.22(3) 2003: 236–246. (shrink)

Legal positivism maintains a distinction between law as it is and law as it ought to be. In other words, for positivists, a law can be legally valid even if it is immoral. H. L. A. Hart hoped to defend legal positivism against natural law. This paper analyses Hart’s criticism of Gustav Radbruch, a natural lawyer, before suggesting that Hart’s account of legal positivism gives rise to a logical problem. It is concluded that this problem leaves logical space for a (...) theory of natural law based on moral authority rather than legal validity. (shrink)

Social inequalities in health in the UK persist despite attempts to reduce them. We argue that work and pensions constitutes an area of intervention where there is potential to make change happen. We propose that workers who are exposed to significant health risks through their occupation should be allowed to draw their state pension earlier, based on a minimum number of years in the workforce. We model this proposal on similar policies in other European countries. In our modification, the pension (...) age and the retirement age would be separated, such that workers can receive a state pension whether or not they choose to continue working. This arrangement may encourage workers either to reduce their working hours or to change to less demanding or harmful work. The health of these workers would thereby benefit from reduced exposure to a harmful work environment, reduced stress and more opportunities for rest and relaxation. However, it has also been suggested that retirement is bad for mental health. In response, our proposal enables workers to phase in full retirement over a period of part-time work, and we believe that this would counter any potential negative effects on health caused by retirement. (shrink)

Pocock, J. G. A. (John Greville Agard) 1924- "Quentin Skinner: The History of Politics and the Politics of History" Common Knowledge - Volume 10, Issue 3, Fall 2004, pp. 532-550.

Taking away grains from a heap of rice, at what point is there no longer a heap? It seems small changes – removing a single grain – can’t make a difference to whether or not something is a heap; but big changes obviously do. How can this be, since big changes are nothing but small changes chained together?

linear time is inadequate to account for all events in our world. In particular, the idea that time may have more than one dimension has been invoked by J. W. Dunne, in his well-known book An Experiment with Time, to justify his claim that ...

*This work has turned into a bigger project, and some of it is published in "Lewis on reference".* Some things, argues Lewis, are just better candidates to be referents than others. Even at the cost of attributing false beliefs, we interpret people as referring to the most interesting kinds in their vicinity. How should this be accounted for? In section 1, I look at Lewis’s interpretationism, and the reference magnetism it builds in (not just for ‘perfectly natural’ properties, but for (...) certain kinds of auxiliary apparatus). In section 2, I draw on (Field, 1975) to argue that what properties are reference magnetic may be an ultimately conventional matter—though in the Lewisian setting, there may be an objectively best conventional choice to make. But Lewis’s own account has implausible commitments, so in section 3 I consider variations and alternatives, all of which have problems. In section 4, I look in more detail at eligibility-based interpretationism that do not appeal to naturalness, arguing that there are credible metasemantic theories of this form. (shrink)

Are interpersonal comparisons of desire possible? Can we give an account of how facts about desires are grounded that underpins such comparisons? This paper supposes the answer to the first question is yes, and provides an account of the nature of desire that explains how this is so. The account is a modification of the interpretationist metaphysics of representation that the author has recently been developing. The modification is to allow phenomenological affective valence into the “base facts” on which correct (...) interpretation is grounded. To use this extra resource within that theory to vindicate interpersonal comparisons, we will need to appeal rational connections between level of valence and level of desire, which this paper sets out and examines. (shrink)

In the opening sections of his Brahma-sutra-bhasya , Ramanuja makes a very forceful assault on Sankara's Advaita theory. This assault anticipates in a striking way modern western attacks on metaphysical religious positions, attacks which stem from Hume and are associated today with names like A. J. Ayer and Antony Flew. In this paper I wish to argue that certain aspects of Sankara's position, as enunciated in his Brahma-sutra-bhasya , suggest that Ramanunja's assault, and therefore by implication a modern western attack (...) on Sankara also, depends for its success on a misinterpretation of Sankara's views. I wish then to suggest a possible alternative interpretation of Sankara's Advaita in terms viable for today, drawing, though indirectly, on such writers as R. B. Braithwaite and R. M. Hare. An incidental implication of this paper is that these two philosophers of religion would meet less opposition from the religious if they were Hindu rather than Christian! A more important implication is that light could be thrown on the present religious controversy in the west by a study of Indian philosophy of religion, if only we were more disposed to treat it as a living tradition which might teach us something, rather than as an antique. (shrink)

Purpose Prescription stimulant use as “cognitive enhancers” has been described among undergraduate college students. However, the use of prescription stimulants among future health care professionals is not well characterized. This study was designed to determine the prevalence of prescription stimulant misuse among students at an academic health sciences center. -/- Method Electronic surveys were e-mailed to 621 medical, pharmacy, and respiratory therapy students at East Tennessee State University for four consecutive weeks in fall 2011. Completing the survey was voluntary and (...) anonymous. Surveys asked about reasons for, frequency of, and side effects of nonprescription misuse of prescription stimulants. Given the sensitive material, an opportunity to win one of ten $50 gift cards was used as an incentive. -/- Results Three hundred seventy-two (59.9%) students completed the survey from three disciplines (47.6% medical, 70.5% pharmacy, and 57.6% respiratory therapy). Overall, 11.3% of responders admitted to misusing prescription stimulants. There was more misuse by respiratory therapy students, although this was not statistically significant (10.9% medicine, 9.7% pharmacy, 26.3% respiratory therapy; P = .087). Reasons for prescription stimulant misuse included to enhance alertness/ energy (65.9%), to improve academic performance (56.7%), to experiment (18.2%), and to use recreationally/get high (4.5%). -/- Conclusions Prescription stimulant misuse was prevalent among participating students, but further research is needed to describe prevalence among future health care workers more generally. The implications and consequences of such misuse require further study across professions with emphasis on investigating issues of academic dishonesty (e.g., “cognitive enhancement”), educational quality, and patient safety or health care quality. (shrink)

Bryne & Hajek (1997) argue that Lewis’s (1988; 1996) objections to identifying desire with belief do not go through if our notion of desire is ‘causalized’ (characterized by causal, rather than evidential, decision theory). I argue that versions of the argument go through on certain assumptions about the formulation of decision theory. There is one version of causal decision theory where the original arguments cannot be formulated—the ‘imaging’ formulation that Joyce (1999) advocates. But I argue this formulation is independently objectionable. (...) If we want to maintain the desire as belief thesis, there’s no shortcut through causalization. (shrink)