Given the common assumption that measurement plays an important role in the foundation of science, the paper analyzes the possibility that Measurement Science, and therefore measurement itself, can be properly founded. The realist and the representational positions are analyzed at this regards: the conclusion, that such positions unavoidably lead to paradoxical situations, opens the discussion for a new epistemology of measurement, whose characteristics and interpretation are sketched here but are still largely matter of investigation.

Al final del cap. 1 de Foundations of Measurement. Vol.I los autores anuncian un segundo volumen y presentan un esbozo de los capítulos que han de componerlo. Aunque su publicación estaba prevista inicialmente para 1975, pasaban los años y a la comunidad científica llegaban tan sólo las versiones mecanuscritas parciales de algunos capítulos. Por fin, casi dos décadas después de FM I aparece el, por entonces ya mítico, segundo volumen desdoblado a su vez y convertido en FM II (...) y FM III. No es difícil adivinar los motivos de tanto retraso: a la cantidad y diversidad de material que quedó ya inicialmente para el segundo volumen, debía sumarse la ingente producción sobre measurement theory que, especialmente a partir de los setenta y por influencia en parte de FM I, la investigación producía año tras año. Como era de esperar, el resultado final de la obra no se ajusta exactamente a los planes originales, se eliminan algunos temas anunciados y se introducen otros nuevos. En primer lugar, se recoge la investigación sobre MT durante esos años: tanto la relacionada con cuestiones ya tratadas en FM I sobre las que se han obtenido resultados nuevos o más generales, como la derivada de un enfoque parcialmente nuevo desarrollado principalmente en torno a la obra de Narens y sus colaboradores. En segundo lugar, se suprime del plan original el capítulo dedicado al tratamiento estadístico del error y el último previsto en el que se resumiría el enfoque adoptado y se compararía con otros. (shrink)

In this paper, first, the question of what a measurement is in General Relativity is tackled; then, some foundational problems it involves are analysed. In particular, by recalling what a measurement is in general, we will try to precisely define what it is in General Relativity. Then, we will analyse, by means of a suitable example, some foundational problems it involves. It will be stressed that such foundational problems do not arise owing to the gauge invariance or the (...) correlation among the measuring observers but owing to the principle of equivalence. (shrink)

The logic of inexactness, presented in this paper, is a version of the Łukasiewicz logic with predicates valued in [0, ∞). We axiomatize multi-valued models of equality and ordering in this logic guaranteeing their imbeddibility in the real line. Our axioms of equality and ordering, when interpreted as axioms of proximity and dominance, can be applied to the foundations of measurement (especially in the social sciences). In two-valued logic they provide theories of ratio scale measurement. In multivalued (...) logic they enable us to treat formally errors arising in nominal and ordinal measurements. (shrink)

Psychologists debate whether mental attributes can be quantified or whether they admit only qualitative comparisons of more and less. Their disagreement is not merely terminological, for it bears upon the permissibility of various statistical techniques. This article contributes to the discussion in two stages. First it explains how temperature, which was originally a qualitative concept, came to occupy its position as an unquestionably quantitative concept (§§1–4). Specifically, it lays out the circumstances in which thermometers, which register quantitative (or cardinal) differences, (...) became distinguishable from thermoscopes, which register merely qualitative (or ordinal) differences. I argue that this distinction became possible thanks to the work of Joseph Black, ca. 1760. Second, the article contends that the model implicit in temperature’s quantitative status offers a better way for thinking about the quantitative status of mental attributes than models from measurement theory (§§5–6). (shrink)

It is well known that Hermann Cohen was one of the first philosophers who engaged in the debate about non-Euclidean geometries and the concept of space. His relation to Hermann von Helmholtz, who played a major role in the same debate, is an illuminating example of how some of the leading ideas of Marburg neo-Kantianism, although motivated independently of scientific debates, naturally led to the examination of scientific works and scientists’ epistemological views. This paper deals with Cohen’s view of magnitudes (...) and measurement and with his – less known – review of Helmholtz’s paper “Zählen und Messen, erkenntnistheoretisch betrachtet”, which contains one of the first attempts to formulate a theory of measurement in the modern sense. The first part provides a brief introduction to this debate in its connection with the earlier discussion on geometrical axioms and the concept of space. The main sections deal with Helmholtz’s and Cohen’s approaches to the foundations of measurement. Cohen’s criticism of some of Helmholtz’s assumptions notwithstanding, my emphasis is on some unexpected affinities between these two approaches. In the concluding section, I rely on the constructive side of Cohen’s criticisms to reconsider the philosophical aspects of Helmholtz’s theory and draw a few comparisons with contemporary measurement theory. (shrink)

In this paper, non-additivity of a set function is interpreted as a method to express relations between sets which are not modeled in a set theoretic way. Drawing upon a concept called “quasi-analysis” of the philosopher Rudolf Carnap, we introduce a transform for sets, functions, and set functions to formalize this idea. Any image-set under this transform can be interpreted as a class of (quasi-)components or (quasi-)properties representing the original set. We show that non-additive set functions can be represented as (...) signed σ-additive measures defined on sets of quasi-components. We then use this interpretation to justify the use of non-additive set functions in various applications like for instance multi criteria decision making and cooperative game theory. Additionally, we show exemplarily by means of independence, conditioning, and products how concepts from classical measure and probability theory can be transfered to the non-additive theory via the transform. (shrink)

In economics, the concept of time discounting introduces weights on future goods to make these less valuable. Yet, both the conceptual motivation for time discounting and its specic functional form remain contested. To address these problems, this paper provides a measurement-theoretic framework of representation for time discounting. The representation theorem characterises time discounting factors by representations of time dierences. This general result can be interpreted with existing theories of time discounting to clarify their formal and conceptual assumptions. It also (...) provides a conceptually neutral framework for comparing the descriptive and normative merits of those theories. (shrink)

Quantum mechanics is an extraordinarily successful scientific theory. But more than 100 years after it was first introduced, the interpretation of the theory remains controversial. This Element introduces some of the most puzzling questions at the foundations of quantum mechanics and provides an up-to-date and forward-looking survey of the most prominent ways in which physicists and philosophers of physics have attempted to resolve them. Topics covered include nonlocality, contextuality, the reality of the wavefunction and the measurement problem. The (...) discussion is supplemented with descriptions of some of the most important mathematical results from recent work in quantum foundations, including Bell's theorem, the Kochen-Specker theorem and the PBR theorem. (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)

This book studies the foundations of quantum theory through its relationship to classical physics. This idea goes back to the Copenhagen Interpretation (in the original version due to Bohr and Heisenberg), which the author relates to the mathematical formalism of operator algebras originally created by von Neumann. The book therefore includes comprehensive appendices on functional analysis and C*-algebras, as well as a briefer one on logic, category theory, and topos theory. Matters of foundational as well as mathematical interest that (...) are covered in detail include symmetry (and its "spontaneous" breaking), the measurement problem, the Kochen-Specker, Free Will, and Bell Theorems, the Kadison-Singer conjecture, quantization, indistinguishable particles, the quantum theory of large systems, and quantum logic, the latter in connection with the topos approach to quantum theory. This book is Open Access under a CC BY licence. (shrink)

The revolution brought about by quantum mechanics in the early 20th century was nothing short of remarkable. It shattered the foundational principles of classical physics, giving rise to a plethora of controversial and intriguing conceptual questions. Questions that still perplex and confound the scientific community today. Is the quantum mechanical description of physical reality complete? Are the objects of nature truly inseparable? And most importantly, do objects not have a specific position before measurement, and are there non-causal quantum jumps? (...) These vital problems continue to garner more attention as time passes, particularly with the fading of positivism. If you're a student seeking to explore the fascinating philosophical foundations of quantum mechanics, this book might be just what you need. Written in Persian, brings you closer to the heart of quantum controversies and the fascinating world of quantum mechanics. (shrink)

Purpose. The paper considers the establishment of the paradigmatic determinants of the understanding of crime on the basis of fundamental changes in understanding of the essence of a man in ancient, medieval, Renaissance, modern and postmodern philosophy. Theoretical basis. The author determines that the understanding of the concept of crime is possible only in the combination of historical, philosophical, legal and sociological approaches. The interpretation of the essence of this concept dynamics and relevant legal practices is based on structuralist, post-structuralist (...) and hermeneutical methodological principles. Originality. The author has proved that the concept of "crime" is not a constant but a historically variable category whose dynamics of meanings is linked to a change in philosophical anthropological paradigms. Its understanding is primarily related to the interpretation of the essence of a man and the imperatives of his behavior. This allows a new understanding of the philosophical foundations of modern criminology. Conclusions. The article establishes that in the history of Western philosophy, there are five anthropological paradigms that differ in a thorough rethinking of the essence of a man. The first cosmocentric regards man as a microcosm, his soul and actions must be in harmony with the harmony of the Cosmos. The second Theocentric considers a man the image and likeness of God, though he is at the same time burdened with original sin. In the era of early Modernism, the third paradigm, which we called cognitive-centric, becomes dominant, since the essence of a man is reduced primarily to his mind. It gradually changes to the fourth – sociocentric, which focuses on the social essence of a man. However, despite its continued existence in our time, at the end of the XX century, there is a transition to the fifth paradigm – postmodernist, which deconstructs the essence of a man, reducing it to the role of an element of power systems. These paradigms, with a certain synchronicity, create the corresponding concepts of "crime": from violation of polis-space laws to identification with sin, from non-observance of mental and moral standards to social deviance. Contemporary understandings of crime are, for the most part, relativistic and constructivist, which is consistent with the postmodern anthropological paradigm. However, the diversity of interpretations of the concept of "crime" that exists in the current scientific literature needs further comprehension. (shrink)

Deliberative democracy is now an influential approach to the study of democracy and political behaviour. Its key proposition is that, in politics, it is not only power that counts, but good discussions and arguments too. This book examines the interplay between the normative and empirical aspects of the deliberative model of democracy. Jürg Steiner presents the main normative controversies in the literature on deliberation, including self-interest, civility and truthfulness. He then summarizes the empirical literature on deliberation and proposes methods by (...) which the level of deliberation can be measured rather than just assumed. Steiner's empirical research is based in the work of various research groups, including experiments with ordinary citizens in the deeply divided societies of Colombia, Bosnia-Herzegovina and Belgium, as well as Finland and the European Union. Steiner draws normative implications from a combination of both normative controversies and empirical findings. (shrink)

The Representational Theory of Measurement (RTM), especially the canonical three volume Foundations of Measurement by Krantz et al., is a landmark accomplishment in our understanding of measurement. Despite this, it has been far from easy to pinpoint what exactly we can learn about measurement from RTM, and who the target audience for RTM’s formal results should be. In what sense does RTM provide foundations of measurement, and what is the philosophical significance of such (...) foundations? I argue that RTM provides semantic foundations of measurement, and that their philosophical significance lies in a shift towards structural representation. (shrink)

Statistical mechanics is the name of the ongoing attempt to explain and predict certain phenomena, above all those described by thermodynamics on the basis of the fundamental theories of physics, in particular mechanics, together with certain auxiliary assumptions. In another paper in this journal, Foundations of statistical mechanics: Mechanics by itself, I have shown that some of the thermodynamic regularities, including the probabilistic ones, can be described in terms of mechanics by itself. But in order to prove those regularities, (...) in particular the time asymmetric ones, it is necessary to add to mechanics assumptions of three kinds, all of which are under debate in contemporary literature. One kind of assumptions concerns measure and probability, and here, a major debate is around the notion of “typicality.” A second assumption concerns initial conditions, and here, the debate is about the nature and status of the so-called past hypothesis. The third kind of assumptions concerns the dynamics, and here, the possibility and significance of “Maxwell's Demon” is the main topic of discussions. This article describes these assumptions and examines the justification for introducing them, emphasizing the contemporary debates around them. (shrink)

Starting from a set of assumptions mainly of an “operational” or experimentally based nature, a derivation of quantum mechanics is presented, with the aim of clarifying the essential features of the theory and their interpretation. Various properties of quantum mechanics such as the addition of amplitudes, the calculation of probabilities, de Broglie's equations, and energy-momentum conservation are derived from first principles. It is investigated whether quantum amplitudes may be constructed from quantities of higher order than complex numbers. Measurable physical quantitics, (...) as traditionally understood, are seen to play a role distinct from and supplementary to the behavior of the quantum amplitudes themselves. This is related to two distinct aspects of the nature of time in the context of quantum mechanics. (shrink)

We present a novel kind of “socio-functional” foundationalism rooted in the division of scientific labor. Our foundationalism is social in that it involves a socio-epistemic phenomenon we dub epistemic outsourcing, whereby claims from one group of scientists provide epistemological foundations for another group of scientists. We argue that: (1) epistemic outsourcing results in a legitimate form of epistemic foundationalism, (2) this sort of foundationalism can be used to shed light on the epistemology of measurement; and (3) epistemic outsourcing (...) is a distinctively collective epistemic phenomenon. (shrink)

The traditional indeterminacy and realist interpretations for quantum theory are examined. A third interpretation is put forward, for which the Born statistical interpretation can be derived by setting up a model for the measuring process.

The London and Bauer monograph occupies a central place in the debate concerning the quantum measurement problem. Gavroglu has previously noted the influence of Husserlian phenomenology on London's scientific work. However, he has not explored the full extent of this influence in the monograph itself. I begin this paper by outlining the important role played by the monograph in the debate. In effect, it acted as a kind of 'lens' through which the standard, or Copenhagen, 'solution' to the (...) class='Hi'>measurement problem came to be perceived and, as such, it was robustly criticized, most notably by Putnam and Shimony. I then spell out the Husserlian understanding of consciousness in order to illuminate the traces of this understanding within the London and Bauer text. This, in turn, yields a new perspective on this 'solution' to the measurement problem, one that I believe has not been articulated before and, furthermore, which is immune to the criticisms of Putnam and Shimony. (shrink)

The foundations of systematics lie in ontology, not in subjective epistemology. Systems and their elements should be distinguished from classes; only the latter are constructed from similarities. The term classification should be restricted to ordering into classes; ordering according to systematic relations may be called systematization.The theory of organization levels portrays the real world as a hierarchy of open systems, from energy quanta to ecosystems; followingHartmann these systems as extended in time are considered the primary units of reality. Organization (...) levels should be distinguished from levels of differentiation within each organization level.Certain biological systems, such as species, continue to be misinterpreted as classes, particularly by logicians unfamiliar with modern biological theory. Replacement of Aristotelian definitions of species by “polytypic” definitions achieves nothing, because species are individual systems which can be defined from an ontological viewpoint only as wholes. The dispute whether classes are real per se or only in individuals is of no scientific importance; irrespective of which view is taken, any ordering of physical objects into classes constitutes an hypothesis about the structure of the real world.The distinction between essential and contingent characters is relevant only to classification. There are no universal rules for evaluating characters for purposes of systematization. Character statements do not form separate linear sequences. The search for “unit characters” in an absolute sense is futile. All real characters are reducible to relations and are in principle measurable, although there are limitations on the extent to which this can be presently achieved.The concept of the sexual species is fundamental to theories of biosystematics. Sexual species may be defined as lineages consisting at any given time of series of populations between which genetic exchange can occur and delimited in time by two successive processes of speciation. Linnaean nomenclature needs modification; in its traditional form it is appropriate only to non-truncated hierarchies, whereas real phylogenies form truncated hierarchies. In consequence of the distinction between systematization and classification it is concluded that, while taxa may be classified into age classes or evolutionary grades, their limits as taxa can be no different in either case. Classification into evolutionary grades remains an imprecise endeavour, since no general measure of evolutionary differentiation has been devised.The spatial and temporal extent of ecosystems, the postulated basic units of ecosystematics, remains unclarified. Nevertheless there are grounds for expecting progress in this field as the energetic relations between organisms become better understood. Biotic communities are not “abstract” classes, but systematic units. Physiognomic classification should not be confused with systematization of plant communities; both approaches contribute to an understanding of vegetational structure. (shrink)

XVI Psychologists have, however, shown that what we are primarily aware of is not a succession of sense-data but figures-ground phenomena: Wittgenstein's ambiguous duck-rabbit is merely one such example. They have also drawn our attention to the existence of tertiary qualities in perception, such as 'symmetry' and 'elegance' which are just as directly given as are the perceived colours red, green or yellow. It is interesting to note that Merleau-Ponty has made considerable use of Gestalt ideas in his Phenomenology of (...) Perception. One of the commonest reasons given by linguistic philosophers for not making direct use of the results of psychological research (although philosophers are usually willing to accept the first-hand results of physical science) is that philosophical accounts of perception and thinking are concerned with analysing the language in which these reports are made; that is to say, they are second-order enquiries. Often this approach is still more restricted and ordinary linguistic usage is taken as the yardstick against which questions relating to thought and perception are to be measured. The task of the philosopher is then con fined to the analysis of ordinary language. If he is more adventurous, as some writers on philosophical psychology are, he might go on to show how far the language used by psychological researchers falls short of the paradigms of common sense. (shrink)

The article explores the civilizational and socio-political foundations of Russian ideology in the context of contemporary global shifts and challenges. The study underscores the pivotal role of the ideology as a directional and developmental vector for Russia amidst profound domestic and international metamorphoses and the emergence of a multi-civilizational and polycentric world order. Focus is placed on the integral role of amalgamating traditional Russian civilizational values with tenets of innovative development. The article argues that measures toward social justice, combating (...) poverty and excessive wealth disparity are fundamentally important for modern Russia. Moreover, it advocates for resistance against the imposition of a dependent model of socio-economic and political evolution. The author articulates that the quintessential elements of Russian ideology encompass the intellectual, spiritual, and ethical growth of the individual, lifelong educational enrichment, and the nurturing of a creative rather than consumptive human ethos. Additionally, it calls for proactive measures against the moral, intellectual, and physical degradation of youth populations. The findings suggest that the current ideological stance in Russia should be anchored in the historical continuity and unification of diverse epochs, specifically referencing the pre-revolutionary, Soviet, and post-Soviet eras. This continuity is primarily rooted in the struggle for independence and sovereignty, the protection of family, morality, and culture, and the striving for social justice. The author concludes that the formation and development of contemporary Russian ideology could be of key importance not only for internal societal consolidation but also for the inception of a more equitable global order, as the fundamental principles of this ideology are relevant for many other countries as well. (shrink)

Foundational research focuses on the theory, but theories are to be related also to other theories, experiments, facts in their domains, data, and to their uses in applications, whether of prediction, control, or explanation. A theory is to be identified through its class of models, but not so narrowly as to disallow these roles. The language of science is to be studied separately, with special reference to the relations listed above, and to the consequent need for resources other than for (...) theoretical description. Peculiar to the foundational level are questions of completeness (specifically in the representation of measurement), and of interpretation (a topic beset with confusions of truth and evidence, and with inappropriate metalinguistic abstraction). (shrink)

The aim of the dissertation is to show that the logical foundations of the Marxian Theory of Value are reasonably sound. The first chapter presents a concise history of MTV and formulates in a detailed way the problem of foundations in MTV. This is the problem of proving the existence of labor-values in a general economy in which joint products, alternative techniques, and heterogeneous labor are allowed. ;In the second chapter the problem is tackled through the demonstration that (...) there is a measurement of abstract labor in such general systems, where abstract labor is understood as a binary relation over the set of labor expenditures induced by a system of prices, in a commodity economy, that satisfies certain properties. It is also shown that whenever the rate of profit is uniform the price system satisfies such properties. ;Using the results of the second chapter, in the last chapter an axiomatization of MTV is provided and two of the most typical models of MTV are reconstructed in terms of abstract labor in a very detailed way. The first of these is the classical Leontief model and the second one is a more general model due to John K. Roemer. The conclusion of the dissertation is that the foundations of MTV are as sound as those of Neo-classical Economics. (shrink)

Utilitarianism is one of the most famous ethical doctrines, based on the ideal of maximizing pleasure and minimizing pain. But Utilitarians and their opponents lack a clear scientific and philosophical understanding of its foundations, the measurement and aggregation of utility. This is what The Pursuit of Happiness now offers.

This paper develops axiomatic foundations for a probabilistic-interventionist theory of causal strength. Transferring methods from Bayesian confirmation theory, I proceed in three steps: I develop a framework for defining and comparing measures of causal strength; I argue that no single measure can satisfy all natural constraints; I prove two representation theorems for popular measures of causal strength: Pearl's causal effect measure and Eells' difference measure. In other words, I demonstrate these two measures can be derived from a set of (...) plausible adequacy conditions. The paper concludes by sketching future research avenues. (shrink)

The rising interest, in the late 20th century, in the foundations of quantum physics, a subject in which Franco Selleri has excelled, has suggested the fair question: how did it become so? The current answer says that experiments have allowed to bring into the laboratories some previous gedanken experiments, beginning with those about EPR and related to Bell’s inequalities. I want to explore an alternative view, by which there would have been, before Bell’s inequalities experimental tests, a change in (...) the views shared by physicists concerning the intellectual status of that issue. I will take three cases which will serve as the threads of our story: the connections between Bohm’s causal interpretation and Bell’s inequalities; Wigner’s ideas on the measurement problem; and finally Everett’s relative states formulation. In the end, I will discuss how those threads were gathered together by creating foundations of quantum physics as a field of research. (shrink)

Quantum Information Theory and the Foundations of Quantum Mechanics is a conceptual analysis of one of the most prominent and exciting new areas of physics, providing the first full-length philosophical treatment of quantum information theory and the questions it raises for our understanding of the quantum world. -/- Beginning from a careful, revisionary, analysis of the concepts of information in the everyday and classical information-theory settings, Christopher G. Timpson argues for an ontologically deflationary account of the nature of quantum (...) information. Against what many have supposed, quantum information can be clearly defined (it is not a primitive or vague notion) but it is not part of the material contents of the world. Timpson's account sheds light on the nature of nonlocality and information flow in the presence of entanglement and, in particular, dissolves puzzles surrounding the remarkable process of quantum teleportation. In addition it permits a clear view of what the ontological and methodological lessons provided by quantum information theory are; lessons which bear on the gripping question of what role a concept like information has to play in fundamental physics. Topics discussed include the slogan 'Information is Physical', the prospects for an informational immaterialism (the view that information rather than matter might fundamentally constitute the world), and the status of the Church-Turing hypothesis in light of quantum computation. -/- With a clear grasp of the concept of information in hand, Timpson turns his attention to the pressing question of whether advances in quantum information theory pave the way for the resolution of the traditional conceptual problems of quantum mechanics: the deep problems which loom over measurement, nonlocality and the general nature of quantum ontology. He marks out a number of common pitfalls to be avoided before analysing in detail some concrete proposals, including the radical quantum Bayesian programme of Caves, Fuchs, and Schack. One central moral which is drawn is that, for all the interest that the quantum information-inspired approaches hold, no cheap resolutions to the traditional problems of quantum mechanics are to be had. (shrink)

Practitioners of science treat evidence as a separate and objective body of materials that is independent of, and possibly also prior to, all of theorizing. Philosophers of science, by contrast, are increasingly wary of the role of theory in testing and measurement contexts, and hence have problematized the notion of evidence as prior or independent, even in the context of measurement. This paper argues that there is an important sense in which empirical certification of a quantity, via (...) class='Hi'>measurement, is indeed prior to theorizing, albeit not necessarily in order of time. The case for this priority distinguishes between the certification of the measurability of a given quantity, as a quantity appropriately measured on a specified scale, and the epistemic warrant due to an assignment of a specific magnitude to that quantity on a given occasion. The result is an account of the certification of a measurable quantity, independent of any theory in which that quantity features. The effect is to render certification of quantities theory-neutral. The aim of the essay is thus to bolster and re-establish a more nuanced empiricist view, via building a case for quantity certification as the epistemic basis (i.e., foundation) of the scientific enterprise. (shrink)

Left-wing authoritarianism remains far less understood than right-wing authoritarianism. We contribute to literature on the former, which typically relies on surveys, using a new social media analytic approach. We use a list of 60 terms to provide an exploratory sketch of the outlines of a political ideology – tribal equalitarianism – with origins in 19th and 20th century social philosophy. We then use analyses of the English Corpus of Google Books (n > 8 million books) and scraped unique tweets from (...) Twitter (n = 202,582) to conduct a series of investigations to discern the extent to which this ideology is cohesive amongst the public, reveals signatures of authoritarianism and has been growing in popularity. Though exploratory, our results provide some evidence of left-wing authoritarianism in two forms: (1) a uniquely conservative signature amongst ostensible liberals using measures derived from Moral Foundations Theory and (2) a substantial prevalence of anger, relative to anxiety or sadness, in tweets analyzed for sentiment. In general, results indicate that this worldview is growing in popularity, is increasingly cohesive, and shows signatures of authoritarianism. (shrink)

This book provides an introduction to the conceptual foundations of quantum mechanics, from classical mechanics and a discussion of the quantum phenomena that undermine our classical intuitions about how the physical world works, to the quantum measurement problem and alternatives to the standard von Neumann-Dirac formulation.

ArgumentAccording to Hermann von Helmholtz, free mobility of bodies seemed to be an essential condition of geometry. This free mobility can be interpreted either as matter of fact, as a convention, or as a precondition making measurements in geometry possible. Since Henri Poincaré defined conventions as principles guided by experience, the question arises in which sense experiential data can serve as the basis for the constitution of geometry. Helmholtz considered muscular activity to be the basis on which the form of (...) space could be construed. Yet, due to the problem of illusion inherent in the subject’s self-assessment of muscular activity, this solution yielded new difficulties, in that if the manifold is abstracted from rigid bodies which serve as empirical justification of the geometrical notion of space, then illusionary bodies will produce fictive manifolds. The present article is meant to disentangle these difficulties. (shrink)