In Weyl’s geometry the nonintegrability problem and difficulties in defining measuring standards are reconsidered. Approaches removing the nonintegrability of length in the interior of atoms are given, so that atoms can serve as measuring standards. The Weyl space becomes a well founded framework for classical theories of electromagnetism and gravitation.

The problem of measurement in theories based on geometry with nonmetricity and contorsion is analyzed. In order to enable the use of atoms as measuring standards, one has to remove the nonintegrability of length in the interior of atoms. Geometrical descriptions appropriate fo this purpose are found in the general case and in the case of two-covariant theories.

Pollock (2004) argues in favour of Wittgenstein’s (1953) claim that the standard metre bar in Paris has no metric length: Because the standard retains a special status in the system of measurement, it cannot be applied to itself. However, we argue that Pollock is mistaken regarding the feature of the standard metre which supports its special status. While the unit markings were arbitrarily designated, the constitution, preservation and application of the bar have been scientifically developed to optimize stability, and hence (...) predictive accuracy. We argue that it is the ‘hard to improve’ quality of stability that supports the standard’s value in measurement, not any of its arbitrary features. And because the special status of the prototype is tied to its ability to meet this external criterion, the possibility always exists of identifying an alternative, more stable, standard, thereby allowing the original standard to be measured. (shrink)

Do sensory measurements deserve the label of “measurement”? We argue that they do. They fit with an epistemological view of measurement held in current philosophy of science, and they face the same kinds of epistemological challenges as physical measurements do: the problem of coordination and the problem of standardization. These problems are addressed through the process of “epistemic iteration,” for all measurements. We also argue for distinguishing the problem of standardization from the problem of coordination. To exemplify our claims, we (...) draw on olfactory performance tests, especially studies linking olfactory decline to neurodegenerative disorders. (shrink)

Do sensory measurements deserve the label of “measurement”? We argue that they do. They fit with an epistemological view of measurement held in current philosophy of science, and they face the same kinds of epistemological challenges as physical measurements do: the problem of coordination and the problem of standardization. These problems are addressed through the process of “epistemic iteration,” for all measurements. We also argue for distinguishing the problem of standardization from the problem of coordination. To exemplify our claims, we (...) draw on olfactory performance tests, especially studies linking olfactory decline to neurodegenerative disorders. (shrink)

MacCann, Matthews, and Roberts (2012) and Mayer, Salovey, and Caruso (2012) have offered responses to my evaluation of the validity of the Mayer-Salovey-Caruso Emotional Intelligence Test (MSCEIT) as a measure of emotional intelligence. MacCann et al. argue that my standards for validity evidence are unrealistically high, but their argument mistakenly supposes that the concept of measurement is somehow relative, rather than absolute. Mayer et al. offer valuable clarifications regarding their emotional intelligence (EI) model, and some new evidence of its (...) correlates. However, the new evidence is not persuasive, and I think that they have largely missed the point of my call for a stronger focus on causal explanations of test performance. (shrink)

We construct novel measures to assess (i) the extent to which European Union member states are using common standards in recognizing asylum seekers and (ii) the extent to which the responsibilities for asylum applications, acceptances and refugee populations are equally shared among the member states, taking into account population size, gross domestic product (GDP) and GDP expressed in purchasing power parity (GDP-PPP). We track the progression of these measures since the implementation of the Treaty of Amsterdam (1999). These measures (...) display divergent trends and we try to provide an interpretation of the dynamics that are constitutive of these trends. (shrink)

Nathan Salmon; XII*—How to Measure the Standard Metre, Proceedings of the Aristotelian Society, Volume 88, Issue 1, 1 June 1988, Pages 193–218.

We propose a new metric for evaluating the informativeness of a set of ratings from a single rater on a given scale. Such evaluations are of interest when raters rate numerous comparable items on the same scale, as occurs in hiring, college admissions, and peer review. Our exposition takes the context of peer review, which involves univariate and multivariate cardinal ratings. We draw on this context to motivate an information-theoretic measure of the refinement of a set of ratings – entropic (...) refinement – as well as two secondary measures. A mathematical analysis of the three measures reveals that only the first, which captures the information content of the ratings, possesses properties appropriate to a refinement metric. Finally, we analyse refinement in real-world grant-review data, finding evidence that overall merit scores are more refined than criterion scores. (shrink)

The standard model of the quantum theory of measurement is based on an interaction Hamiltonian in which the observable to be measured is multiplied by some observable of a probe system. This simple Ansatz has proved extremely fruitful in the development of the foundations of quantum mechanics. While the ensuing type of models has often been argued to be rather artificial, recent advances in quantum optics have demonstrated their principal and practical feasibility. A brief historical review of the standard model (...) together with an outline of its virtues and limitations are presented as an illustration of the mutual inspiration that has always taken place between foundational and experimental research in quantum physics. (shrink)

The ethical frameworks of consequentialism and formalism predict moral awareness and behavior in individuals, but current measures either do not treat these frameworks as independent or lack sufficient theoretical underpinnings and statistical dependability. This paper presents the development and validation of a new scale to measure consequentialism and formalism that is well grounded in prior research. The Ethical Standards of Judgement Questionnaire is validated via six studies. Measurement items are developed in the first three studies, which also confirm the (...) need to eliminate a unidimensional measure and evaluate these frameworks separately. The fourth study addresses discriminant validity and the two remaining studies provide insight into how consequentialism and formalism predict the degree to which behaviors are deemed acceptable by individuals in the context of consumer beliefs and religious beliefs. Suggested uses for the scale in both academia and organizations are presented. (shrink)

Ordinary measurement using a standard scale, such as a ruler or a standard set of weights, has two fundamental properties. First, the results are approximate, for example, within 0.1 g. Second, the resulting indistinguishability is transitive, rather than nontransitive, as in the standard psychological comparative judgments without a scale. Qualitative axioms are given for structures having the two properties mentioned. A representation theorem is then proved in terms of upper and lower measures.

The ethical frameworks of consequentialism and formalism predict moral awareness and behavior in individuals, but current measures either do not treat these frameworks as independent or lack sufficient theoretical underpinnings and statistical dependability. This paper presents the development and validation of a new scale to measure consequentialism and formalism that is well grounded in prior research. The Ethical Standards of Judgement Questionnaire is validated via six studies. Measurement items are developed in the first three studies, which also confirm the (...) need to eliminate a unidimensional measure and evaluate these frameworks separately. The fourth study addresses discriminant validity and the two remaining studies provide insight into how consequentialism and formalism predict the degree to which behaviors are deemed acceptable by individuals in the context of consumer beliefs and religious beliefs. Suggested uses for the scale in both academia and organizations are presented. (shrink)

In this paper, we show within RCA 0 that weak Konig's lemma is necessary and sufficient to prove that any (separable) compact group has a Haar measure. Within WKL 0 , a Haar measure is constructed by a non-standard method based on a fact that every countable non-standard model of WKL 0 has a proper initial part isomorphic to itself [10].

(1992). Grain packing in early standard capacity measures: Evidence from the scottish dry capacity standards. Annals of Science: Vol. 49, No. 4, pp. 337-350.

This paper critically discusses Amartya Sen’s case for broadening the basket of wellbeing indicators in development policy beyond income and consumption expenditure. I first argue that, contrary to what Sen has suggested, the theoretical and practical motivations that he gives for this do not form a mutually complementary set. In the second, policy-focused, part of the paper I present problems Sen’s approach to measurement raises in the context of a case study from rural South Africa. I conclude by suggesting that (...) development indicators should be regarded as narrower – in particular, that we should give privileged attention to women’s incomes – rather than broader. Keywords: development policy; well-being proxies; welfare; Amartya Sen Word count: 11,315.. (shrink)

The aim of this paper is to give a systematic account of the so-called “measurement problem” in the frame of the standard interpretation of quantum mechanics. It is argued that there is not one but five distinct formulations of this problem. Each of them depends on what is assumed to be a “satisfactory” description of the measurement process in the frame of the standard interpretation. Moreover, the paper points out that each of these formulations refers not to a unique problem, (...) but to a set of sub-problems. (shrink)

In a recently proposed quantum measurement theory the definiteness of quantum measurements is achieved by means of “special” states. The recovery of the usual quantum probabilities is related to the relative abundance of particular classes of “special” states. In the present article we consider two-state discrimination, and model the apparatus modes that could provide the “special” states. We find that there are structural features which, if generally present in apparatus, will provide universal recovery of standard probabilities. These structural features relate (...) to the distribution of certain Hamiltonian matrix elements or interaction times. In particular, those quantities must be asymptotically (x → ∞) distributed according to the Cauchy law, Ca(x)=a/π(x 2 +a 2 ). (shrink)

Contrary to the claim that measurement standards are absolutely accurate by definition, I argue that unit definitions do not completely fix the referents of unit terms. Instead, idealized models play a crucial semantic role in coordinating the theoretical definition of a unit with its multiple concrete realizations. The accuracy of realizations is evaluated by comparing them to each other in light of their respective models. The epistemic credentials of this method are examined and illustrated through an analysis of the (...) contemporary standardization of time. I distinguish among five senses of ‘measurement accuracy’ and clarify how idealizations enable the assessment of accuracy in each sense. (shrink)

As universities in the United Kingdom gear themselves up for the next Research Excellence Framework, REF2021, with peer review at its core, we critically re-visit the idea of peer review as a gold standard proxy for research excellence. We question the premise that anonymous peer review is a necessary and enabling condition for impartial, expert judgement. We argue that the intentions and supposed benefits underlying peer review and its associated concepts have become congealed in received discourse about research quality. Hence (...) we explore the key conceptual issues raised by the nested assumptions and concepts that come into play in peer review as currently practised: primarily those of secrecy, anonymity, legitimacy, trust, impartiality and openness. After delineating the benefits attributed to peer review, we contrast its declared virtues with its problematic features. We locate peer review in an audit culture in which the reviewer is an academic labourer. Drawing on recent trends in moral and political philosophy, we question the usefulness of the ideal of impartiality when tied to secrecy. Then we raise more deliberative, intersubjective possibilities for a revised understanding of peer review in the context of an academic community. Finally, we suggest ways in which the academic community could pursue quality in research by recasting peer review to be less secret and more open. (shrink)

The social welfare functional approach to social choice theory fails to distinguish a genuine change in individual well-beings from a merely representational change due to the use of different measurement scales. A generalization of the concept of a social welfare functional is introduced that explicitly takes account of the scales that are used to measure well-beings so as to distinguish between these two kinds of changes. This generalization of the standard theoretical framework results in a more satisfactory formulation of welfarism, (...) the doctrine that social alternatives are evaluated and socially ranked solely in terms of the well-beings of the relevant individuals. This scale-dependent form of welfarism is axiomatized using this framework. The implications of this approach for characterizing classes of social welfare orderings are also considered. (shrink)

The Nuclear Threat Initiative focuses on preventing catastrophes related to weapons of mass destruction, with a wide range of attacks including nuclear, biologic, radiologic, chemical and cyb...

Extensive measurement is the standard measurement-theoretic approach for constructing a ratio scale. It involves the comparison of objects that can be concatenated in an additively representable way. This paper studies the implications of extensively measurable welfare for social choice theory. We do this in two frameworks: an Arrovian framework with a fixed population and no interpersonal comparisons, and a generalized framework with variable populations and full interpersonal comparability. In each framework we use extensive measurement to introduce novel domain restrictions, independence (...) conditions, and constraints on social evaluation. We prove a welfarism theorem for these domains and characterize the social welfare functions that satisfy the axioms of extensive measurement at both the individual and social levels. The main results are simple axiomatizations of strong dictatorship in the Arrovian framework and classical utilitarianism in the generalized framework. (shrink)

Many philosophers hold that the probability axioms constitute norms of rationality governing degrees of belief. This view, known as subjective Bayesianism, has been widely criticized for being too idealized. It is claimed that the norms on degrees of belief postulated by subjective Bayesianism cannot be followed by human agents, and hence have no normative force for beings like us. This problem is especially pressing since the standard framework of subjective Bayesianism only allows us to distinguish between two kinds of credence (...) functions—coherent ones that obey the probability axioms perfectly, and incoherent ones that don’t. An attractive response to this problem is to extend the framework of subjective Bayesianism in such a way that we can measure differences between incoherent credence functions. This lets us explain how the Bayesian ideals can be approximated by humans. I argue that we should look for a measure that captures what I call the ‘overall degree of incoherence’ of a credence function. I then examine various incoherence measures that have been proposed in the literature, and evaluate whether they are suitable for measuring overall incoherence. The competitors are a qualitative measure that relies on finding coherent subsets of incoherent credence functions, a class of quantitative measures that measure incoherence in terms of normalized Dutch book loss, and a class of distance measures that determine the distance to the closest coherent credence function. I argue that one particular Dutch book measure and a corresponding distance measure are particularly well suited for capturing the overall degree of incoherence of a credence function. (shrink)

ABSTRACT Standard accounts of convention include notions of arbitrariness. But many have conceived of conventionality as an all-or-nothing affair. In this paper, I develop a framework for thinking of conventions as admitting of degrees of arbitrariness. In doing so, I introduce an information-theoretic measure intended to capture the degree to which a solution to a certain social problem could have been otherwise. As the paper argues, this framework can help to improve explanation aimed at the cultural evolution of social traits. (...) Good evolutionary explanations recognise that most functional traits are also conventional, at least to some degree, and vice versa. (shrink)

The old evidence problem affects any probabilistic confirmation measure based on comparing pr(H/E) and pr(H). The article argues for the following points: (1) measures based on likelihood ratios also suffer old evidence difficulties; (2) the less-discussed synchronic old evidence problem is, in an important sense, the most acute; (3) prominent attempts to solve or dissolve the synchronic problem fail; (4) a little-discussed variant of the standard measure avoids the problem, in an appealing way; and (5) this measure nevertheless reveals a (...) different problem for probabilistic confirmation measures, a problem that is unlikely to lend itself to formal solution. (shrink)

Extensive measurement theory is developed in terms of theratio of two elements of an arbitrary (not necessarily Archimedean) extensive structure; thisextensive ratio space is a special case of a more general structure called aratio space. Ratio spaces possess a natural family of numerical scales (r-scales) which are definable in non-representational terms; ther-scales for an extensive ratio space thus constitute a family of numerical scales (extensive r-scales) for extensive structures which are defined in a non-representational manner. This is interpreted as involving (...) arelational theory of quantity which contrasts in certain respects with thequalitative theory of quantity implicit in standard representational extensive measurement theory. The representational properties of extensiver-scales are investigated, and found to coincide withweak extensive measurement in the sense of Holman. This provides support for the thesis (developed in a separate paper) that weak extensive measurement is a more natural model of actual physical extensive scales than is the standard model using strong extensive measurement. Finally, the present apparatus is applied to slightly simplify the existing necessary and sufficient conditions for strong extensive measurement. (shrink)

A conjectural inference is proposed, aimed at producing conjectural theorems from formal conjectures assumed as axioms, as well as admitting contradictory statements as conjectural theorems. To this end, we employ Paraconsistent Informational Logic, which provides a formal setting where the notion of conjecture formulated by an epistemic agent can be defined. The paraconsistent systems on which conjectural deduction is based are sequent formulations of the C-systems presented in Carnielli-Marcos [CAR 02b]. Thus, conjectural deduction may also be considered to be a (...) tool for investigating the properties of paraconsistency in general. (shrink)

Standard approaches to ontological simplicity focus either on the number of things or types a theory posits or on the number of fundamental things or types a theory posits. In this paper, I suggest a ground-theoretic approach that focuses on the number of something else. After getting clear on what this approach amounts to, I motivate it, defend it, and complete it.

We propose partial measurements as a conceptual tool to understand how to operate with counterfactual claims in quantum physics. Indeed, unlike standard von Neumann measurements, partial measurements can be reversed probabilistically. We first analyze the consequences of this rather unusual feature for the principle of superposition, for the complementarity principle, and for the issue of hidden variables. Then we move on to exploring non-local contexts, by reformulating the EPR paradox, the quantum teleportation experiment, and the entanglement-swapping protocol for the situation (...) in which one uses partial measurements followed by their stochastic reversal. This leads to a number of counter-intuitive results, which are shown to be resolved if we give up the idea of attributing reality to the wavefunction of a single quantum system. (shrink)

A monomethod bias still prevails in the psychology of religion, with the developing field studying the relationship between religiosity, spirituality and health being almost completely dominated by questionnaire research. This comes as a surprise, because the experiential side of religion, spirituality, can by definition be regarded as inner and private experiences of transcendence that have frequently been described as being of utmost importance. At first glance, from this perspective, standardized questionnaire scales appear to be inappropriate for “measuring the unmeasurable”. (...) Until now, no questionnaire instrument developed for the purpose of assessing spiritual and religious experiences has been qualitatively double-checked for intermethod validity. In order to throw light on whether questionnaire instruments are appropriate for measuring domains of spiritual and transcendental experiences, we tested a newly developed questionnaire instrument, the Exceptional Experience Questionnaire , for intermethod validity by conducting post-questionnaire interviews . This revealed that the EEQ was able to grasp these experiences within reasonable limits. However, two thirds of our interview sample said that the study had changed how they viewed these experiences. These findings suggest that the reactivity of quantitative instruments in grasping spiritual and transcendental domains should be taken into account, especially when devising longitudinal designs and further research is clearly needed. As a consequence, introducing a reflective circle of results stemming from both quantitative and qualitative approaches is recommended as the most useful and appropriate research tool for studying spiritual or mystical experiences, if not all constructs. (shrink)

In the last three decades, considerable theoretical and empirical research has been undertaken on the topic of moral distress among health professionals. Understood as a psychological and emotional response to the experience of moral wrongdoing, there is evidence to suggest that—if unaddressed—it contributes to staff demoralization, desensitization and burnout and, ultimately, to lower standards of patient safety and quality of care. However, more recently, the concept of moral distress has been subjected to important criticisms. Specifically, some authors argue that (...) the standard account of moral distress elucidated by Jameton :542–551, 1984) does not refer to a discrete phenomenon and/or that it is not sufficiently broad and that this makes measuring its prevalence among health professionals, and other groups of workers, difficult if not impossible. In this paper, we defend the standard account of moral distress. We understand it as a concept that draws attention to the social, political and contextual determinants of moral agency and brings the emotional landscape of the moral realm to the fore. Given the increasing pressure on health professionals worldwide to meet efficiency, financial and corporate targets and reported adverse effects of these for the quality and safety of patient care, we believe that further empirical research that deploys the standard account moral distress is timely and important. (shrink)

I explain the difficulty of making various concepts of and relating to probability precise, rigorous and physically significant when attempting to apply them in reasoning about objects living in infinite-dimensional spaces, working through many examples from cosmology. I focus on the relation of topological to measure-theoretic notions of and relating to probability, how they diverge in unpleasant ways in the infinite-dimensional case, and are even difficult to work with on their own. Even in cases where an appropriate family of spacetimes (...) is finite-dimensional, and so admits a measure of the relevant sort, however, it is always the case that the family is not a compact topological space, and so does not admit a physically significant, well behaved probability measure. Problems of a different but still deeply troubling sort plague arguments about likelihood in that context, which I also discuss. I conclude that most standard forms of argument used in cosmology to estimate the likelihood of the occurrence of various properties or behaviors of spacetimes have serious mathematical, physical and conceptual problems. (shrink)

Measures of algorithmic bias can be roughly classified into four categories, distinguished by the conditional probabilistic dependencies to which they are sensitive. First, measures of "procedural bias" diagnose bias when the score returned by an algorithm is probabilistically dependent on a sensitive class variable (e.g. race or sex). Second, measures of "outcome bias" capture probabilistic dependence between class variables and the outcome for each subject (e.g. parole granted or loan denied). Third, measures of "behavior-relative error bias" capture probabilistic dependence between (...) class variables and the algorithmic score, conditional on target behaviors (e.g. recidivism or loan default). Fourth, measures of "score-relative error bias" capture probabilistic dependence between class variables and behavior, conditional on score. Several recent discussions have demonstrated a tradeoff between these different measures of algorithmic bias, and at least one recent paper has suggested conditions under which tradeoffs may be minimized. -/- In this paper we use the machinery of causal graphical models to show that, under standard assumptions, the underlying causal relations among variables forces some tradeoffs. We delineate a number of normative considerations that are encoded in different measures of bias, with reference to the philosophical literature on the wrongfulness of disparate treatment and disparate impact. While both kinds of error bias are nominally motivated by concern to avoid disparate impact, we argue that consideration of causal structures shows that these measures are better understood as complicated and unreliable measures of procedural biases (i.e. disparate treatment). Moreover, while procedural bias is indicative of disparate treatment, we show that the measure of procedural bias one ought to adopt is dependent on the account of the wrongfulness of disparate treatment one endorses. Finally, given that neither score-relative nor behavior-relative measures of error bias capture the relevant normative considerations, we suggest that error bias proper is best measured by score-based measures of accuracy, such as the Brier score. (shrink)