The main aim of the paper is to solve a problem posed in Di Nola et al. (Multiple Val. Logic 8:715–750, 2002) whether every pseudo BL-algebra with two negations is good, i.e. whether the two negations commute. This property is intimately connected with possessing a state, which in turn is essential in quantum logical applications. We approach the solution by describing the structure of pseudo BL-algebras and pseudo hoops as important families of quantum structures. We show when a pseudo hoop (...) can be embedded into the negative cone of the reals. We give an equational base characterizing representable pseudo hoops. We also describe some subvarieties: normal-valued, and varieties where each maximal filter is normal. We produce some noncommutative covers and extend the area where each algebra is good. Finally, we show that there are uncountably many subvarieties of pseudo BL-algebras having members that are not good. (shrink)

In the present paper we continue the investigation of the lattice of subvarieties of the variety of ${\sqrt{\prime}}$ quasi-MV algebras, already started in [6]. Beside some general results on the structure of such a lattice, the main contribution of this work is the solution of a long-standing open problem concerning these algebras: namely, we show that the variety generated by the standard disk algebra D r is not finitely based, and we provide an infinite equational basis for the same variety.

In the present paper we continue the investigation of the lattice of subvarieties of the variety of √′ P quasi-MV algebras, already started in [6]. Beside some general results on the structure of such a lattice, the main contribution of this work is the solution of a long-standing open problem concerning these algebras: namely, we show that the variety generated by the standard disk algebra D r is not finitely based, and we provide an infinite equational basis for the same (...) variety. (shrink)

A two-body quantum correlation is calculated for a particle reflecting from a moving mirror. Correlated interference results when the incident and reflected particle substates and their associated mirror substates overlap. Using the Copenhagen interpretation of measurement, an asynchronous joint probability density, which is a function both of the different positions and different times at which the particle and mirror are measured, is derived assuming that no interaction occurs between each measurement. Measurement of the particle first, in the correlated interference region, (...) results in a splitting of the mirror substate into ones which have and have not reflected the particle. An analog of the interference from the Doppler effect for only measurements of the particle, in this two-body system, is shown to be a consequence of the asynchronous measurement. The simplification obtained for a microscopic particle reflecting from a mesoscopic or macroscopic mirror is used to illustrate asynchronous correlation interferometry. In this case, the small displacement between these mirror states can yield negligible environmental decoherence times. In addition, interference of these mirror states does not vanish in the limit of large mirror mass due to the small momentum exchange in reflecting a microscopic particle. (shrink)

The Royal Society report updates the anthropogenic impacts on ecosystems services and our inability to rise to this challenge. Sustainable development is argued to be a linguistic device that has been instrumental in deflecting us from addressing the paradox at the heart of the oxymoron. The relationships between the social, environmental, and economic are explored together with the utility of the I = PAT equation, with reference to the Hardin Taboo, Jevons's, and Easterlin's paradoxes. A more prominent role for phronesis (...) in the management of human affairs and the adoption of ethics as the language for dealing with such issues are advocated. (shrink)

Quasi-MV algebras are generalisations of MV algebras arising in quantum computational logic. Although a reasonably complete description of the lattice of subvarieties of quasi-MV algebras has already been provided, the problem of extending this description to the setting of quasivarieties has so far remained open. Given its apparent logical repercussions, we tackle the issue in the present paper. We especially focus on quasivarieties whose generators either are subalgebras of the standard square quasi-MV algebra S , or can be obtained therefrom (...) through the addition of some fixpoints for the inverse. (shrink)

Epistemic decision theorists aim to justify Bayesian norms by arguing that these norms further the goal of epistemic accuracy—having beliefs that are as close as possible to the truth. The standard defense of Probabilism appeals to accuracy dominance: for every belief state that violates the probability calculus, there is some probabilistic belief state that is more accurate, come what may. The standard defense of Conditionalization, on the other hand, appeals to expected accuracy: before the evidence is in, one should expect (...) to do better by conditionalizing than by following any other rule. We present a new argument for Conditionalization that appeals to accuracy‐dominance, rather than expected accuracy. Our argument suggests that Conditionalization is a rule of coherence: plans that conflict with Conditionalization don't just prescribe bad responses to the evidence; they also give rise to inconsistent attitudes. (shrink)

A popular argument is that peer disagreement about controversial moral topics undermines justified moral belief in a way that peer disagreement about non-moral topics does not undermine justified non-moral belief. Call this argument the argument for moral skepticism from peer disagreement. Jason Decker and Daniel Groll have recently made a companions in guilt response to this argument. Decker and Groll argue that if peer disagreement undermines justified moral belief, then peer disagreement undermines much non-moral justified belief; if the argument for (...) moral skepticism from peer disagreement succeeds, then a kind of non-moral skepticism holds too. And we should not hold that the status of such non-moral beliefs are undermined by peer disagreement. In this paper, I shows that Decker and Groll’s companions in guilt argument fails. I then draw out the implications of my argument for the epistemology of disagreement and the epistemology of moral disagreement more generally. For instance, I then argue that peer disagreement about morality does not undermine all justified moral belief but that peer disagreement about morality does preclude most moral beliefs from being justified and constituting knowledge in a way that peer disagreement about non-moral topics does not preclude most non-moral beliefs from being justified and constituting knowledge. (shrink)

In this article, we consider two independently appealing theories—the Growing-Block view and Humean Supervenience—and argue that at least one is false. The Growing-Block view is a theory about the nature of time. It says that past and present things exist, while future things do not, and the passage of time consists in new things coming into existence. Humean Supervenience is a theory about the nature of entities like laws, nomological possibility, counterfactuals, dispositions, causation, and chance. It says that none of (...) these entities are fundamental, since if they were, this would entail the existence of irreducible necessary connections between matters of fact. Instead, these entities supervene on a fundamental, non-nomological ‘Humean mosaic’ of property instances at spacetime points. We will further explain and motivate the Growing-Block view and Humean Supervenience in Sects. 2 and 3, but first, we turn to our master argument. (shrink)

Der fünfte Band der Reihe trägt den Titel Ethik und Politik aus interkultureller Sicht. Neben einer begrifflichen, methodischen und inhaltlichen Klärung, was aus interkultureller Sicht bedeutet, werden in den verschiedenen Beiträgen ethische und politische Ansätze im heutigen Weltkontext der Philosophie erörtert. Interkulturell orientiertes philosophisches Denken weist alle Zentrismen zurück, ohne jedoch die jeweilige kulturelle Sedimentiertheit in Frage zu stellen. Folgerichtig wird so auch ein jeder Monismus abgelehnt. Das heutige Angesprochensein der Kulturen verlangt von uns, von den beiden Fiktionen einer totalen (...) Identität und völligen Differenz unter den ethischen und politischen Modellen Abschied zu nehmen. Die These von der Überlappung zielt auf das Wahrnehmen von grundsätzlichen Ähnlichkeiten und erhellenden Differenzen in den Ansätzen. Wer einen Pluralismus bejaht, muß auch bereit sein, im Geiste der Toleranz die unterschiedlichen Ansätze zur Ethik und Politik ernst zu nehmen. Wer den Konsens zu sehr betont, liebäugelt mit irgendeinem Identitätsmodell, vernachlässigt den Kompromiß. Tatsache ist jedoch, daß gerade Kompromisse zur Konfliktlösung beitragen. So sind die Beiträge dieses Bandes dem Ziel gewidmet, sowohl eine theoretische Begründung als auch eine praktische Bewältigung der interkulturellen Verständigung in Ethik und Politik zu leisten. (shrink)

I am interested in extending modal calculi by adding propositional quantifiers, given by the rules for quantifier introduction: provided that p does not occur free in A.

The author's motivation for constructing the calculi of this paper\nis so that time and tense can be "discussed together in the same\nlanguage" (p. 282). Two types of enriched propositional caluli for\ntense logic are considered, both containing ordinary propositional\nvariables for which any proposition may be substituted. One type\nalso contains "clock-propositional" variables, a,b,c, etc., for\nwhich only clock-propositional variables may be substituted and that\ncorrespond to instants or moments in the semantics. The other type\nalso contains "history-propositional" variables, u,v,w, etc., for\nwhich only history-propositional variables may (...) be substituted and\nthat correspond to maximally linearly ordered subsets of instants.\nThis second type is for tense logics in which time is not linear\nand where at any moment there may exist alternative future courses\nof events. Quantifiers are included in both types but only for clock-\nand history-propositional variables. However, these quantifiers are\ngiven an essentially substitutional interpretation. In addition,\nbesides each clock-propositional variable being true at exactly one\ninstant, the semantics requires that for each instant there be at\nleast one clock-propositional variable true at that instant, which\nin effect amounts to having each instant of the model "denoted" in\nthe formalism by some clock-propositional variable. Thus it is not\nsurprising that quantification over clock-propositional variables\nturns out to have a "well behaved first-order semantics" (p. 284).\n{One axiom relating history- with clock-propositions seems to need\nrevision: CKTauTbuAUabUba. Since the clock-propositional variables\nmight be true at the same instant the consequent should include an\nalternative, namely, LCab.} Besides the standard truth-functional\nand tense operators G,H,F,P, the author includes L for "it is\nalways the case that". The model-theoretic earlier-than relation\nordering instants and the semantic truth-at (an instant) relation\nare formalized by Uab and Taα (for a wff α) which\nare defined respectively as LCbPa (whenever the clock-proposition\nb is the case the clock-proposition a was the case) and LCaα\n(α is the case whenever the clock-proposition a is the case).\nBecause the future tense operators are definable in terms of U\nand T and the latter are definable in terms of L and P, the\ndual of H, the author notes that his completeness proofs can be\nrestricted to L and H as primitive and with the future tense\noperators used for other interpretations, especially Prior, A.'s\nindeterminist "it will be the case that", where time is not linear.\nThe author concludes with some rather technical observations showing\nthat "in ordinary tense logics the instants are nonstandard elements\nof the models. This provides", according to the author, "a semantic\npressure to build the instants into tense logic, so that they will\nappear as standard elements in the models" (p. 283). (shrink)

We show that five important elements of the ‘nomological package’— laws, counterfactuals, chances, dispositions, and counterfactuals—needn’t be a problem for the Growing-Block view. We begin with the framework given in Briggs and Forbes (in The real truth about the unreal future. Oxford studies in metaphysics. Oxford University Press, Oxford, 2012 ), and, taking laws as primitive, we show that the Growing-Block view has the resources to provide an account of possibility, and a natural semantics for non-backtracking causal counterfactuals. We show (...) how objective chances might ground a more fine-grained concept of feasibility, and furnished a places in the structure where causation and dispositions might fit. The Growing-Block view, thus understood, provides the resources to explain the close link between modality and tense, so that it predicts modal change as time passes. This account lets us capture not only what the future might hold for us, and also what might have been. (shrink)

Aim To study the views of people in a largely Muslim country, Kuwait, of the acceptability of a life-ending action such as physician-assisted suicide (PAS). Method 330 Kuwaiti university students judged the acceptability of PAS in 36 scenarios composed of all combinations of four factors: the patient's age (35, 60 or 85 years); the level of incurability of the illness (completely incurable vs extremely difficult to cure); the type of suffering (extreme physical pain or complete dependence) and the extent to (...) which the patient requests a life-ending procedure, euthanasia or PAS (no request, some form of request, repeated requests). In all scenarios, the patients were women who were receiving the best possible care. The ratings were subjected to cluster analysis and analyses of variance. Results Five clusters were found. For 44%, PAS was always very unacceptable, no matter what the circumstances. For 23%, it was unacceptable, but less so if the patient was older or requested it repeatedly. For 16%, it was unacceptable if the patient was young but was acceptable if the patient was elderly. For 5%, it was unacceptable if the patient had extreme pain but was acceptable if completely dependent. For 11%, it was unacceptable if the patient did not request it but acceptable if she did. Conclusion The majority of the Kuwaiti university students opposed PAS either categorically or with a slight variation according to circumstances. Nonetheless, a minority approved of PAS in some cases, particularly when the patient was elderly. (shrink)

There are important similarities between moral thought and talk and thought and talk about gender: disagreements about gender, like disagreements about morality, seem to be intractable and to outstrip descriptive agreement; and it seems coherent to reject any definition of what it is to be a woman in terms of particular social, biological, or other descriptive features, just as it seems coherent to reject any definition of what it is to be good or right in terms of any set of (...) descriptive properties. These similarities give us reason to investigate the idea that, like moral thought and talk, gender thought and talk is inherently normative. This paper proposes a normative account of gender thought and talk in terms of fitting treatment. On this fitting treatment account, to judge that A is gender G is just to judge that it is fitting to treat A as a G. This account is a descriptive or hermeneutical account of our gender thought and talk rather than an ameliorative account of our gender concepts or a metaphysical account of gender properties in social metaphysics. This paper argues that other descriptive accounts of gender thought and talk face problems that the fitting treatment account overcomes. (shrink)

Part of the Studies in Crime and Public Policy series, this book, written by one of the top philosophers of punishment, examines the main trends in penal theorizing over the past three decades. Duff asks what can justify criminal punishment, and then explores the legitimacy of actual practices by examining what would count as adequate justification for them. Duff argues that a "communicative conception of punishment," which he presents as a third way between consequentialist and retributive theories, offers the most (...) fruitful way of understanding punishment's meaning and justification. Duff addresses such questions as how much sentences should be constrained by proportionality requirements; what modalities of punishment best communicate their intended meaning; and what decisionmaking procedures he envisions. This book will appeal to criminologists, philosophers, and others interested in theories of punishment. (shrink)

Gender discrimination and sexual harassment of female police officers by their male counterparts remain areas of liability where police departments appeared to have failed to effectively confront the nagging issues. However, the appreciable level of research conducted on these issues in the global North has not been matched by the South, where issues bordering on sexual violence have cultural underpinnings. Drawing from the case of the Nigeria Police Force, feminist analysis was used to explore the lived reality of 43 female (...) officers in a qualitative study. Participants expressed distress in abiding by structural discriminatory regulations against female officers which include non-admittance of married women into the force, forbidding unmarried officers from getting pregnant, and a stipulated minimum of three-year work period before a female officer can marry. Findings also indicated that participants suffer a variety of sexual harassment, intimidation, and, violence from their male colleagues, while they feel constrained in reporting their victimization. Important policy and practical implications requiring the Nigerian police to address hegemonic masculinity and promote gender equality were provided. (shrink)

Marcia Baron has offered an illuminating and fruitful discussion of extra-legal excuses. What is particularly useful, and particularly important, is her focus on our excusatory practices—on the ways and contexts in which we make, offer, accept, bestow and reject excuses: if we are to reach an adequate understanding of excuses, their implications and their grounds, we must attend to the roles that they can play in our human activities and relationships—and to the complexities and particularities of those roles. However, I (...) want to focus my comments less on the details of Baron’s discussions of excuses in extra-legal contexts than on the implications of her discussion for our understanding of excuses in the criminal law. What light (if any, a sceptic might add) can such analyses of our extra-legal concepts and practices throw on legal concepts and doctrines? (shrink)

In [1, §4], my ‘proof’ that GH1 has the finite model property is incorrect; there are considerable obscurities towards the end of §1, particularly on p. 33; and I should have exhibited the finite models for GH1. In §1 of this paper I expand the analysis of the sub-directly irreducible models for GH1 which I give in §1 of [1]. In §2 I give a correct proof that GH1 has the finite model property. In §3 I exhibit these finite models (...) as models on certain ordered sets. (shrink)

The discovery of the microworld presented a serious trial for many systems of views held by mankind, including its logic. This world was found to lack the familiar solid bodies, the unchanging particles and interrelations between them, the reflection of which, in one way or another, is the logic of the macroscopic world. What elementary particle physics encountered in the microscopic world seemed illogical: the rest-mass of a particle equals zero; a part that is not smaller than the whole; a (...) particle that in diffraction experiments moved like a wave; and much else that was unusual and strange in the properties of elementary particles. One of these properties was actually so named by physicists — "strangeness.". (shrink)