Quantum mechanical weak values of projection operators have been used to answer which-way questions, e.g. to trace which arms in a multiple Mach–Zehnder setup a particle may have traversed from a given initial to a prescribed final state. I show that this procedure might lead to logical inconsistencies in the sense that different methods used to answer composite questions, like “Has the particle traversed the way X or the way Y?”, may result in different answers depending on which methods (...) are used to find the answer. I illustrate the problem by considering some examples: the “quantum pigeonhole” framework of Aharonov et al., the three-box problem, and Hardy’s paradox. To prepare the ground for my main conclusion on the incompatibility in certain cases of weak values and logic, I study the corresponding situation for strong/projective measurements. In this case, no logical inconsistencies occur provided one is always careful in specifying exactly to which ensemble or sample space one refers. My results cast doubts on the utility of quantum weak values in treating cases like the examples mentioned. (shrink)

In combination with post-selection, weak measurements can lead to surprising results known as anomalous weak values. These lie outside the bounds of the spectrum of the relevant observable, as in the canonical example of measuring the spin of an electron (along some axis) to be 100. We argue that the disturbance caused by the weak measurement, while small, is sufficient to significantly affect the measurement result, and that this is the most reasonable explanation of anomalous weak (...) values. (shrink)

We investigate in this work the meaning of weak values through the prism of property ascription in quantum systems. Indeed, the weak measurements framework contains only ingredients of the standard quantum formalism, and as such weak measurements are from a technical point of view uncontroversial. However attempting to describe properties of quantum systems through weak values—the output of weak measurements—goes beyond the usual interpretation of quantum mechanics, that relies on eigenvalues. We first recall the usual (...) form of property ascription, based on the eigenstate-eigenvalue link and the existence of “elements of reality”. We then describe against this backdrop the different meanings that have been given to weak values. We finally argue that weak values can be related to a specific form of property ascription, weaker than the eigenvalues case but still relevant to a partial description of a quantum system. (shrink)

ABSTRACT: A relation is obtained between weak values of quantum observables and the consistency criterion for histories of quantum events. It is shown that ``strange'' weak values for projection operators always correspond to inconsistent families of histories. It is argued that using the ABL rule to obtain probabilities for counterfactual measurements corresponding to those strange weak values gives inconsistent results. This problem is shown to be remedied by using the conditional weight, or pseudo-probability, obtained from the multiple-time (...) application of Luders' Rule. It is argued that an assumption of reverse causality implies that weak values obtain, in a restricted sense, at the time of the weak measurement as well as at the time of post-selection. Finally, it is argued that weak values are more appropriately characterised as multiple-time amplitudes than expectation values, and as such can have little to say about counterfactual questions. (shrink)

We clarify the significance of quasiprobability in quantum mechanics that is relevant in describing physical quantities associated with a transition process. Our basic quantity is Aharonov’s weak value, from which the QP can be defined up to a certain ambiguity parameterized by a complex number. Unlike the conventional probability, the QP allows us to treat two noncommuting observables consistently, and this is utilized to embed the QP in Bohmian mechanics such that its equivalence to quantum mechanics becomes more (...) transparent. We also show that, with the help of the QP, Bohmian mechanics can be recognized as an ontological model with a certain type of contextuality. (shrink)

A relation is obtained between weak values of quantum observables and the consistency criterion for histories of quantum events. It is shown that “strange” weak values for projection operators always correspond to inconsistent families of histories. It is argued that using the ABL rule to obtain probabilities for counterfactual measurements corresponding to those strange weak values gives inconsistent results. This problem is shown to be remedied by using the conditional weight, or pseudo-probability, obtained from the multiple-time application (...) of Lüders’ Rule. It is argued that an assumption of reverse causality implies that weak values obtain, in a restricted sense, at the time of the weak measurement as well as at the time of post-selection. Finally, it is argued that weak values are more appropriately characterized as multiple-time amplitudes than expectation values, and as such can have little to say about counterfactual questions. (shrink)

Despite their important applications in metrology and in spite of numerous experimental demonstrations, weak measurements are still confusing for part of the community. This sometimes leads to unjustified criticism. Recent papers have experimentally clarified the meaning and practical significance of weak measurements, yet in Kastner, Kastner seems to take us many years backwards in the the debate, casting doubt on the very term “weak value” and the meaning of weak measurements. Kastner appears to ignore both (...) the basics and frontiers of weak measurements and misinterprets the weak measurement process and its outcomes. In addition, she accuses the authors of Aharonov et al. in statements completely opposite to the ones they have actually made. There are many points of disagreement between Kastner and us, but in this short reply I will leave aside the ontology and focus mainly on the injustice in her criticism. I shall add some general comments regarding the broader theory of weak measurements and the two-state-vector formalism, as well as supporting experimental results. Finally, I will point out some recent promising results, which can be proven by projective measurements, without the need of employing weak measurements. (shrink)

The operational definition of a weak value for a quantum mechanical system involves the limit of the weak measurement strength tending to zero. I study how this limit compares to the situation for the undisturbed system. Under certain conditions, which I investigate, this limit is discontinuous in the sense that it does not merge smoothly to the Hilbert space description of the undisturbed system. Hence, in these discontinuous cases, the weak value does not represent the (...) undisturbed system. As a result, conclusions drawn from such weak values regarding the properties of the studied system cannot be upheld. Examples are given. (shrink)

A so called “weak value” of an observable in quantum mechanics (QM) may be obtained in a weak measurement + post-selection procedure on the QM system under study. Applied to number operators, it has been invoked in revisiting some QM paradoxes (e.g., the so called Three-Box Paradox and Hardy’s Paradox). This requires the weak value to be interpreted as a bona fide property of the system considered, a par with entities like operator mean values and (...) eigenvalues. I question such an interpretation; it has no support in the basic axioms of quantum mechanics and it leads to unreasonable results in concrete situations. (shrink)

Feynman's sum-over-histories formulation of quantum mechanics has been considered a useful calculational tool in which virtual Feynman histories entering into a coherent quantum superposition cannot be individually measured. Here we show that sequential weak values, inferred by consecutive weak measurements of projectors, allow direct experimental probing of individual virtual Feynman histories, thereby revealing the exact nature of quantum interference of coherently superposed histories. Because the total sum of sequential weak values of multitime projection operators for a complete (...) set of orthogonal quantum histories is unity, complete sets of weak values could be interpreted in agreement with the standard quantum mechanical picture. We also elucidate the relationship between sequential weak values of quantum histories with different coarse graining in time and establish the incompatibility of weak values for nonorthogonal quantum histories in history Hilbert space. Bridging theory and experiment, the presented results may enhance our understanding of both weak values and quantum histories. (shrink)

The quantum theoretical concepts of modular momentum and dynamical non-locality, which were introduced four decades ago, have recently been used to explain single particle quantum interference phenomena. Although the non-local exchange of modular momentum associated with such phenomena cannot be directly observed, it has been suggested that effects induced by this exchange can be measured experimentally using weak measurements of pre- and post-selected ensembles of particles. This paper reports on such an optical experiment that yielded measured weak values (...) that were consistent with the theoretical prediction of an effect induced by a non-local exchange of modular momentum. (shrink)

Weak measurements offer new insights into the behavior of quantum systems. Combined with post-selection, quantum mechanics predicts a range of new experimentally testable phenomena. In this paper I consider weak measurements performed on time-dependent pre- and post-selected ensembles, with emphasis on the decay of excited states. The results show that the standard exponential decay law is a limiting case of a more general law that depends on both the time of post-selection and the choice of final state. The (...) generalized law is illustrated for two interesting choices of post-selection. (shrink)

Svensson argued that the concept of the weak value of an observable of a pre- and post-selected quantum system cannot be applied when the expectation value of the observable in the initial state vanishes. Svensson’s argument is analyzed and shown to be inconsistent using several examples.

Ben-Israel and Vaidman have raised objections to my arguments that there are cases where a quantum mechanical weak value can be said not to represent the system to which it pertains. They are correct in pointing out that some of my conclusions were too general. However, for weak values of projection operators my conclusions still stand.

This article investigates Kripke-style semantics for two sorts of logics: pseudo-Boolean and weak-Boolean logics. As examples of the first, we introduce G3 and S53pB.G3 is the three-valued Dummett–Gödel logic; S53pB is the modal logic S5 but with its orthonegation replaced by a pB negation. Examples of wB logic are G3wB and S53wB.G3wB is G3 with a wB negation in place of its pB negation; S53wB is S5 with a wB negation replacing its orthonegation. For each system, we provide a (...) three-valued Kripke-style semantics with and without star operation . We prove soundness and completeness theorems in each case. Note that wB logics may be equivalent to logics with Baaz’s projection Δ. We finally introduce the G3 and the S53pB both with Δ and show that they are equivalent to G3wB and S53wB, respectively. (shrink)

This paper evaluates a recent method proposed by Jeremy Gwiazda for calculating the value of gambles that fail to have expected values in the standard sense. I show that Gwiazda’s method fails to give answers for many gambles that do have standardly defined expected values. However, a slight modification of his method (based on the mathematical notion of the ‘Cauchy principal value’ of an integral), is in fact a proper extension of both his method and the method of (...) ‘weak expectations’. I show that this method gives an appropriate value when the ‘tails’ of the gambles that are eliminated in the truncation are ‘stable’, but that the value is not appropriate when the tails are not stable. I do not attempt to give an argument for the use of this method, but just note that it is more general than Gwiazda’s method, and is mathematically quite natural. (shrink)

What does it mean that an object has instrumental value? While some writers seem to think it means that the object bears a value, and that instrumental value accordingly is a kind of value, other writers seem to think that the object is not a value bearer but is only what is conducive to something of value. Contrary to what is the general view among philosophers of value, I argue that if instrumental (...) class='Hi'>value is a kind of value, then it is a kind of extrinsic final value. (shrink)

In the literature, Weak Kleene logics are usually taken as three-valued logics. However, Suszko has challenged the main idea of many-valued logic claiming that every logic can be presented in a two-valued fashion. In this paper, we provide two-valued semantics for the Weak Kleene logics and for a number of four-valued subsystems of them. We do the same for the so-called Logics of Nonsense, which are extensions of the Weak Kleene logics with unary operators that allow looking (...) at them as Logics of Formal Inconsistency and Logics of Formal Underterminedness. Our aim with this work, rather than arguing for Suszko’s thesis, is to show that two-valued presentations of these peculiar logics enlighten the non-standard behavior of their logical connectives. More specifically, the two-valued presentations of paraconsistent logics illustrate and clarify the disjunctive flavor of the conjunction, and dually, the two-valued presentations of paracomplete subsystems of Weak Kleene logics reveal the conjunctive flavor of the disjunction. (shrink)

Professional environmental ethics arose directly out of the interest in the environment created by Earth Day in 1970. At that time many environmentalists, primarily because they had read Aldo Leopold’s essay, “The Land Ethic,” were convinced that the foundations of environmental problems were philosophical. Moreover, these environmentalists were dissatisfied with the instrumental arguments based on human use and benefit—which they felt compelled to invoke in defense of nature—because they thought these arguments were part of the problem. Wanting to counter instrumental (...) arguments in some way with non- or even anti-instrumental arguments, and unable to think of anything else to say, they began wistfully suggesting that perhaps nature had or ought to have rights. When professional environmental ethics came into its own in the early 1980s, rights for nature were one of the first subjects to be debated in detail. Unfortunately, however, no one could come up with a theory to support such rights attributions. Nevertheless, because rights had been invoked by environmentalists to challenge the preeminent role of instrumental value arguments, and because the field of environmental ethics developed in support of environmental concerns and arguments, environmental ethicists turned to an examination of noninstrumental or intrinsic value arguments for the preservation of nature. (shrink)

Weak values are average quantities, therefore investigating their associated variance is crucial in understanding their place in quantum mechanics. We develop the concept of a position-postselected weak variance of momentum as cohesively as possible, building primarily on material from Moyal and Sonego :1135, 1991) . The weak variance is defined in terms of the Wigner function, using a standard construction from probability theory. We show this corresponds to a measurable quantity, which is not itself a weak (...) value. It also leads naturally to a connection between the imaginary part of the weak value of momentum and the quantum potential. We study how the negativity of the Wigner function causes negative weak variances, and the implications this has on a class of ‘subquantum’ theories. We also discuss the role of weak variances in studying determinism, deriving the classical limit from a variational principle. (shrink)

We investigate the relationship between three-valued Kripke/Kleene semantics and stratified semantics for stratifiable logic programs. We first show these are compatible, in the sense that if the three-valued semantics assigns a classical truth value, the stratified approach will assign the same value. Next, the familiar fixed point semantics for pure Horn clause programs gives both smallest and biggest fixed points fundamental roles. We show how to extend this idea to the family of stratifiable logic programs, producing a semantics (...) we call weak stratified. Finally, we show weak stratified semantics coincides exactly with the three-valued approach on stratifiable programs, though the three-valued version is generally applicable, and does not require stratification assumptions. (shrink)

In this paper we focus on some new normativist positions and compare them with traditional ones. In so doing, we claim that if normative judgments are involved in determining whether a condition is a disease only in the sense identified by new normativisms, then disease is normative only in a weak sense, which must be distinguished from the strong sense advocated by traditional normativisms. Specifically, we argue that weak and strong normativity are different to the point that one (...) ‘normativist’ label ceases to be appropriate for the whole range of positions. If values and norms are not explicit components of the concept of disease, but only intervene in other explanatory roles, then the concept of disease is no more value-laden than many other scientific concepts, or even any other scientific concept. We call the newly identified position “value-conscious naturalism” about disease, and point to some of its theoretical and practical advantages. (shrink)

Suppose that A and B are two kinds of goods such that more of each is better than less. A is strongly superior to B if any amount of A is better than any amount of B. It is weakly superior to B if some amount of A is better than any amount of B. There are many examples of these relations in the literature, sometimes under the labels “higher goods” and “discontinuity.” The chapter gives a precise and generalized statement (...) of Strong and Weak Superiority and discusses different ways in which these relations can be relevant to the aggregation of welfare. It also proves a number of general results. One of the results gives rise to a dilemma: It can be used as an argument against the existence of value superiority or, alternatively, as an argument against the view that superiority entails a radical difference in value. (shrink)

Economic environmental valuation remains a much debated and contested issue. Concerns have been voiced that it is unable to capture the manifold immaterial values of ecosystems due to conceptual and methodological issues. Thus, additional value categories (social values) as well as novel valuation approaches like deliberative (monetary) valuation are areas of growing interest, yet the theoretical foundations are rather weak. Against this background, this article aims to develop a consistent conceptual framework for making sense of social values in (...) economic environmental valuation. Based on a holistic view of society and individuals, the role of institutions, the social environment, culture and transcendental values is emphasised. To synthesise diverging concepts of value into an economic concept and to account for the multidimensionality of social values, the framework consists of three spheres: social, natural and contextual. The novel framework demonstrates that social values may be integrated into a preference-based utility framework when denoting a holistic understanding of social preferences and human embeddedness in nature and society. (shrink)

Available from UMI in association with The British Library. Requires signed TDF. ;This thesis considers the place of values in comparative political inquiry. After a review of the debate in the philosophy of social science between the positivist and hermeneutic approaches , the argument is divided into two parts. The first part looks at the origins, and consequences, of the attempt to establish a positivistic value-free comparative political science. The second part considers the basis, and the potential nature, of (...) a self-consciously normative discipline of comparative politics. ;The idea of value-freedom is criticised; it is argued: that the failure to take into account the values of the comparative theorist results in the imposition of a non-neutral framework on the phenomena under investigation; and that the failure to take into account the values of the agents under investigation makes it impossible to properly describe or explain political phenomena. ;Examples are used to illustrate these points but also to show how, and why, the rhetoric of neutrality is sustained in practice. It is suggested that mainstream comparative political science conflates a positivist epistemology and a quantitative research methodology. This mixture results in a variety of confusions but is seen to protect comparative politics from "the problem of relativism", which is treated as the principal weakness of the hermeneutic approach. ;Two possible foundations for a normative comparative politics are considered. Firstly, the idea that it is possible to found comparative politics on a non-relative moral theory is reviewed and rejected. It is argued that the best candidates for such a theory, utilitarianism and "thin" theories of the good, cannot be established a priori. Secondly, the assumption that the existence of a plurality of cultures, moral beliefs, and theoretical perspectives leads to relativism is rejected. Instead it is argued that the existence of diversity and disagreement itself provides the basis for a coherent and self-critical discipline, and enhances the scope of comparative politics. (shrink)

Fact/value holism has become commonplace in philosophy of science, especially in feminist literature. However, that facts are bearers of empirical content, while values are not, remains a firmly-held distinction. I support a more thorough-going holism: both facts and values can function as empirical claims, related in a seamless, semantic web. I address a counterexample from Kourany where facts and values seem importantly discontinuous, namely, the simultaneous support by the Nazis of scientifically sound cancer research and morally unsound political policies. (...) I conclude that even by the criteria available at the time, Nazi cancer research was empirically weak, and the weaknesses in their research are continuous with their moral failures in just the ways predicted by the holism I support. (shrink)

The paper discusses some of the criticisms of contingent valuation (CV) and allied techniques for estimating the intensity of peoples' preferences for the environment. The weakness of orthodox utilitarian assumptions in economics concerning the commensurability of all items entering into peoples' choices is discussed. The concept of commensurability is explored as is the problem of rational choice between incommensurate alternatives. While the frequent claim that the environment has some unique moral intrinsic value is unsustainable, its preservation often raises ethical (...) and other motivations that are not commensurate with the values that people place on ordinary marketable goods. Nevertheless, CV is also claimed to have some advantages and it is concluded that little progress will be made in this area until both sides in the debate recognise what is valid in their opponents' arguments. (shrink)

Safe-by-Design (SBD) frameworks for the development of emerging technologies have become an ever more popular means by which scholars argue that transformative emerging technologies can safely incorporate human values. One such popular SBD methodology is called Value Sensitive Design (VSD). A central tenet of this design methodology is to investigate stakeholder values and design those values into technologies during early stage research and development (R&D). To accomplish this, the VSD framework mandates that designers consult the philosophical and ethical literature (...) to best determine how to weigh moral trade-offs. However, the VSD framework also concedes the universalism of moral values, particularly the values of freedom, autonomy, equality trust and privacy justice. This paper argues that the VSD methodology, particularly applied to nano-bio-info-cogno (NBIC) technologies, has an insufficient grounding for the determination of moral values. As such, an exploration of the value-investigations of VSD are deconstructed to illustrate both its strengths and weaknesses. This paper also provides possible modalities for the strengthening of the VSD methodology, particularly through the application of moral imagination and how moral imagination exceed the boundaries of moral intuitions in the development of novel technologies. (shrink)

Private law theory must confront the plurality of values that inform the problems that private law addresses in practice. We consider Hanoch Dagan’s and Michael Heller’s The Choice Theory of Contracts as a case-study in the promise and perils that embracing plural values poses for private law theory. We begin by arguing that private law theory cannot ignore value pluralism and identify three approaches that theory might take to pluralism. We call these approaches capitulating to, leveraging, and embracing (...) class='Hi'>value pluralism. We illustrate each approach and assess its strengths and weaknesses. Theories that capitulate to pluralism simultaneously limit their scope and hamper their persuasiveness even within their restricted domains. Theories that leverage pluralism limit their domains more dramatically still. And theories that embrace pluralism are difficult to operationalize in practice without abandoning their pluralist roots. We briefly illustrate the drawbacks of capitulating to and leveraging pluralism with examples from recent contract theory. We then take up theories that embrace pluralism in greater detail, by studying Dagan and Heller’s approach. We argue that Dagan and Heller do not solve the deep problems that operationalizing their embrace of pluralism inevitably engenders. (shrink)

Judgement internalism claims that our evaluative judgements will motivate us to act appropriately, at least in so far as we are rational. I examine how this claim should be understood, with particular focus on whether valuing enjoys a kind of 'normative priority' over desiring. I consider and reject views according to which valuing something provides one with a reason to be moved; this claim of normative priority and the readings of internalism it suggests are too strong. I also reject an (...) interpretation which eschews claims of normative priority, whilst maintaining that valuing nevertheless rationally commits or requires one to be motivated; this rejection of normative priority and the reading of internalism it supports are too weak. In the final sections I sketch the understanding of judgement internalism I favour, and defend it against objections. (shrink)

In the context of the widening trade gap between Japan and the U.S.A. and the increasing numbers of missions visiting Japan aimed at a better understanding of the Japanese market and Japanese business, topics such as Just in Time and TQC have received the most prominence, along with discussions of Japanese-style management and labor relations. The weakness of most discussions has been their inability to set these into the context of the highly complex Japanese value-system that runs through both (...) business and society. Once understood, it becomes apparent that there is a system of values and value-related strategies at work that have a re-inforcing effect in the directions of cooperation and efficiency. The paper will identify a number of these and indicate their areas of influence. Four are discussed: (1) the formation of corporate philosophy (2) management philosophy (3) corporate work ethic (4) supplier/customer relations. (shrink)

The paper analyses economic evaluations by distinguishing evaluative statements from actual value judgments. From this basis, it compares four solutions to the value neutrality problem in economics. After rebutting the strong theses about neutrality (normative economics is illegitimate) and non-neutrality (the social sciences are value-impregnated), the paper settles the case between the weak neutrality thesis (common in welfare economics) and a novel, weak non-neutrality thesis that extends the realm of normative economics more widely than the (...) other weak thesis does. (shrink)

Judgement internalism claims that our evaluative judgements will motivate us to act appropriately, at least in so far as we are rational. I examine how this claim should be understood, with particular focus on whether valuing enjoys a kind of 'normative priority' over desiring. I consider and reject views according to which valuing something provides one with a reason to be moved; this claim of normative priority and the readings of internalism it suggests are too strong. I also reject an (...) interpretation which eschews claims of normative priority, whilst maintaining that valuing nevertheless rationally commits or requires one to be motivated; this rejection of normative priority and the reading of internalism it supports are too weak. In the final sections I sketch the understanding of judgement internalism I favour, and defend it against objections. (shrink)

In this paper we provide frame definability results for weak versions of classical modal axioms that can be expressed in Fitting's many-valued modal languages. These languages were introduced by M. Fitting in the early '90s and are built on Heyting algebras which serve as the space of truth values. The possible-worlds frames interpreting these languages are directed graphs whose edges are labelled with an element of the underlying Heyting algebra, providing us a form of many-valued accessibility relation. Weak (...) axioms of the form we treat here have been examined from the completeness perspective and further explored for applications in non-monotonic reasoning. Here, we introduce more weak many-valued modal axioms and prove a frame correspondence result for all of them. The classes of corresponding labelled frames possess algebraic properties which are strongly reminiscent of many classical ones, such as the Church-Rosser property, reflexivity, transitivity, partial functionality, etc. (shrink)

This paper shows that versions of prioritarianism that focus at least partially on well-being levels at certain times conflict with conventional views of prudential value and prudential rationality. So-called timeslice prioritarianism, and pluralist views that ascribe importance to timeslices, hold that a benefit matters more, the worse off the beneficiary is at the time of receiving it. We show that views that evaluate outcomes in accordance with this idea entail that an agent who delays gratification makes an outcome worse, (...) even if it is better for the agent and worse for no one else. We take this to show that timeslice prioritarianism and some pluralist views violate Weak Pareto, and we argue that these versions of prioritarianism are implausible. (shrink)

Safe-by-Design (SBD) frameworks for the development of emerging technologies have become an ever more popular means by which scholars argue that transformative emerging technologies can safely incorporate human values. One such popular SBD methodology is called Value Sensitive Design (VSD). A central tenet of this design methodology is to investigate stakeholder values and design those values into technologies during early stage research and development (R&D). To accomplish this, the VSD framework mandates that designers consult the philosophical and ethical literature (...) to best determine how to weigh moral trade-offs. However, the VSD framework also concedes the universalism of moral values, particularly the values of freedom, autonomy, equality trust and privacy justice. This paper argues that the VSD methodology, particularly applied to nano-bio-info-cogno (NBIC) technologies, has an insufficient grounding for the determination of moral values. As such, an exploration of the value-investigations of VSD are deconstructed to illustrate both its strengths and weaknesses. This paper also provides possible modalities for the strengthening of the VSD methodology, particularly through the application of moral imagination and how moral imagination exceed the boundaries of moral intuitions in the development of novel technologies. (shrink)

Although the philosophical literature on science and values has flourished in recent years, the central concept of “values” has remained ambiguous. This paper endeavors to clarify the nature of values as they are discussed in this literature and then highlights some of the major implications of this clarification. First, it elucidates four major concepts of values and discusses some of their strengths and weaknesses. Second, it clarifies the relationships between these concepts of values and a wide variety of related concepts (...) that are sometimes used interchangeably in the philosophical literature. Third, it argues that this conceptual clarification reveals that much of the literature on science and values has discussed different concepts of values without making these differences clear. The paper illustrates this point by analyzing the different concepts of values at play in different arguments against the value-free ideal and in proposals for managing values. Understanding the literature on values in science as a patchwork of related discourses rather than a single discourse can help researchers more thoughtfully choose a concept of values that best fits their philosophical targets and goals, rather than conflating different discourses because of the common terminology of “values.”. (shrink)

Academic research is increasingly centering on interdisciplinary work. Strong interdisciplinary research (SIR), involving researchers from very different fields, such as scientists and humanists, is often encouraged, if not required, by funding agencies. I argue that two intellectual virtues, open-mindedness and intellectual humility, are crucial for overcoming obstacles to SIR and achieving success. In part I, I provide a primer on intellectual virtue and the two virtues in question. In part II, I distinguish SIR from weak interdisciplinary research (WIR), which (...) involves research teams from neighboring fields, such as physics and chemistry, and from disciplinary research (DR), which involves researchers from the same discipline. I also outline what counts as success in SIR, and explain why it’s more challenging to attain than in WIR and DR. In part III, I explain how both intellectual virtues are essential for achieving success in SIR and for overcoming obstacles that can arise in its pursuit. (shrink)

I argue that there are two distinct views called ‘value pluralism’ in contemporary axiology, but that these positions have not been properly distinguished. The first kind of pluralism, weak pluralism, is the view philosophers have in mind when they say that there are many things that are valuable. It is also the kind of pluralism that philosophers like Moore, Brentano and Chisholm were interested in. The second kind of pluralism, strong pluralism, is the view philosophers have in mind (...) when they say there are many values, or many kinds of value. It is also the kind of pluralism that philosophers like Stocker, Kekes and Nussbaum have advanced. I separate and elucidate these views, and show how the distinction between them affects the contemporary debate about value pluralism. (shrink)

Variable-Value axiologies avoid Parfit’s Repugnant Conclusion while satisfying some weak instances of the Mere Addition principle. We apply calibration methods to two leading members of the family of Variable-Value views conditional upon: first, a very weak instance of Mere Addition and, second, some plausible empirical assumptions about the size and welfare of the intertemporal world population. We find that such facts calibrate these two Variable-Value views to be nearly totalist, and therefore imply conclusions that should (...) seem repugnant to anyone who opposes Total Utilitarianism only due to the Repugnant Conclusion. (shrink)

In this paper we propose substructural propositional logic obtained by da Costa weakening of the intuitionistic negation. We show that the positive fragment of the da Costa system is distributive lattice logic, and we apply a kind of da Costa weakening of negation, by preserving, differently from da Costa, its fundamental properties: antitonicity, inversion, and additivity for distributive lattices. The other stronger paraconsistent logic with constructive negation is obtained by adding an axiom for multiplicative property of weak negation. After (...) that, we define Kripke-style semantics based on possible worlds and derive from it many-valued semantics based on truth-functional valuations for these two paraconsistent logics. Finally, we demonstrate that this model-theoretic inference system is adequate—sound and complete with respect to the axiomatic da Costa-like systems for these two logics. (shrink)

This paper is about a tension between two theses. The first is Value of Evidence: roughly, the thesis that it is always rational for an agent to gather and use cost‐free evidence for making decisions. The second is Rationality of Imprecision: the thesis that an agent can be rationally required to adopt doxastic states that are imprecise, i.e., not representable by a single credence function. While others have noticed this tension, I offer a new diagnosis of it. I show (...) that it arises when an agent with an imprecise doxastic state engages in an unreflective inquiry, an inquiry where they revise their beliefs using an updating rule that doesn't satisfy a weak reflection principle. In such an unreflective inquiry, certain synchronic norms of instrumental rationality can make it instrumentally irrational for an agent to gather and use cost‐free evidence. I then go on to propose a diachronic norm of instrumental rationality that preserves Value of Evidence in unreflective inquiries. This, I suggest, may help us reconcile this thesis with Rationality of Imprecision. (shrink)

This paper sets out two semantics for the relevant logic R based on Dunn's four-valued semantics for first-degree entailments. Unlike Routley's semantics for weak relevant logics, they do not use two ternary accessibility relations. Unlike Restall's semantics, they capture all of R. But there is a catch. Both of the present semantics are neighbourhood semantics, that is, they include sets of propositions in the specification of their frames.

Frege's concern in GGI §10 is neither with the epistemological issue of how we come to know about value-ranges, nor with the semantic-metaphysical issue of whether we have said enough about such objects in order to ensure that any kind of reference to them is possible. The problem which occupies Frege in GGI §10 is the general problem according to which we ‘cannot yet decide’, for any arbitrary function, what value ‘’ has if ‘ℵ’ is a canonical (...) class='Hi'>value-range name. This is a problem with the ‘reference’ of value-range names, but only in the weak sense that, if we do not exercise care, value-range terms might become ‘bedeutungslos’ for purely formal reasons. Frege addresses the general problem only for the primitive function- and object-names he has already introduced into his concept-script. I argue that this methodology was perfectly intentional: his intention for GG in general, on display in GGI §10, is to check, for each primitive function- and object-name, as it is introduced into concept-script, whether it interacts with the other primitive names which have already been introduced in such a way that these atomic combinations of primitive names do not become bedeutungslos. If there is a risk of producing a bedeutungslos combination, Frege will make an arbitrary stipulation to ensure that logical hygiene is maintained. I argue that this interpretation does not violate some of the other principal commitments of GG. (shrink)

The present study aims to extend research on the role of values for the perceived legitimacy of legal authorities by focusing on (1) supranational legal authorities and (2) a broad range of values. We examine how (alignment between) people’s personal values and their perception of the values of the European Union (EU) are related to perceived legitimacy of the Court of Justice of the EU (CJEU) and the EU more broadly. Inspired by moral foundations theory, we distinguish between individualizing (i.e., (...) “democracy”, “liberty”, and “fairness”) and binding values (i.e., “rule of law”, “respect for national authority”, and “respect for tradition”). An online survey was conducted in six EU member states (N = 1,136). A factor analysis confirmed a two-factor model (individualizing vs. binding values) for both personal values and perceived EU values. Four regression models were run for each of the value factors, including personal values, perceived EU values, and their interaction, on each of the outcomes (i.e., perceived CJEU and EU legitimacy). Perceived endorsement by the EU of both individualizing and binding values predicted higher legitimacy perceptions of the CJEU and EU. Furthermore, personal binding values had a negative effect on perceived EU legitimacy when participants perceived the EU to weakly support binding values, but a positive effect when the EU was perceived to strongly support binding values. The results suggest that value alignment plays an important role in perceived legitimacy of the CJEU and EU, and that better representing binding values might be a strategy to improve perceived EU legitimacy. (shrink)

A theoretical framework for the reinforcement learning of aesthetic biases was recently proposed based on brain circuitries revealed by neuroimaging. A model grounded on that framework accounted for interesting features of human aesthetic biases. These features included individuality, cultural predispositions, stochastic dynamics of learning and aesthetic biases, and the peak-shift effect. However, despite the success in explaining these features, a potential weakness was the linearity of the value function used to predict reward. This linearity meant that the learning process (...) employed a value function that assumed a linear relationship between reward and sensory stimuli. Linearity is common in reinforcement learning in neuroscience. However, linearity can be problematic because neural mechanisms and the dependence of reward on sensory stimuli were typically nonlinear. Here, we analyze the learning performance with models including optimal nonlinear value functions. We also compare updating the free parameters of the value functions with the delta rule, which neuroscience models use frequently, vs. updating with a new Phi rule that considers the structure of the nonlinearities. Our computer simulations showed that optimal nonlinear value functions resulted in improvements of learning errors when the reward models were nonlinear. Similarly, the new Phi rule led to improvements in these errors. These improvements were accompanied by the straightening of the trajectories of the vector of free parameters in its phase space. This straightening meant that the process became more efficient in learning the prediction of reward. Surprisingly, however, this improved efficiency had a complex relationship with the rate of learning. Finally, the stochasticity arising from the probabilistic sampling of sensory stimuli, rewards, and motivations helped the learning process narrow the range of free parameters to nearly optimal outcomes. Therefore, we suggest that value functions and update rules optimized for social and ecological constraints are ideal for learning aesthetic biases. (shrink)

In this article, I will defend the so-called buck-passing theory of value. According to this theory, claims about the value of an object refer to the reason-providing properties of the object. The concept of value can thus be analyzed in terms of reasons and the properties of objects that provide them for us. Reasons in this context are considerations that count in favour of certain attitudes. There are four other possibilities of how the connection between reasons and (...) value might be formulated. For example, we can claim that value is a property that provides us with reasons to choose an option that has this property. I argue that none of these four other options can ultimately be defended, and therefore the buck-passing account is the one we ought to accept as the correct one. The case for the buck-passing account becomes even stronger, when we examine the weak points of the most pressing criticism against this account thus far. (shrink)