A theory of magnitudes involves criteria for their comparison, equivalence and addition. We examine these aspects from an abstract viewpoint, stressing independence and definability. These considerations are triggered by the so-called De Zolt’s principle in the theory of equivalence of plane polygons.

We define a physical magnitude as an equivalence class of measurement procedures and formulate sufficient restrictions on the equivalence relation to guarantee meaningful algebraic operations between magnitudes. These restrictions are not sufficient to let the Kochen and Specker argument go through. They are, however, stronger than mere statistical equivalence of measurement procedures and thus are relevant to the problem of the completeness of quantum mechanics. In fact, they give rise to a strong argument for the incompleteness (...) of quantum mechanics. (shrink)

The properties, theoretical magnitudes, and natural kinds which science seeks to characterize, and not the sense or meanings which parts of speech may possess, are the subject of this paper. Many philosophers (e.g., Putnam [1971] and Achinstein [1974]) have agreed that two predicates of different meaning may pick out the same property, but they usually hold that that logically equivalent predicates must pick out the same properties. I propose to deny this thesis. My argument is by way of an example (...) and by appeal to a principle. The principle connects propertyhood with causal efficacy. The example situation I will describe in what follows is intended to show that the property of being a closed straight-sided figure having three sides is not the same property as that of being a closed straight-sided figure having three angles (a triangle). (shrink)

Einstein’s equivalence principle has a number of problems, and it is often applied incorrectly. Clocks on the earth do not seem to be affected by the sun’s gravitational potential. The most commonly accepted reason given is a faulty application of the equivalence principle. While no valid reason is available within either the special or general theories of relativity, ether theories can provide a valid explanation. A clock bias of the correct magnitude and position dependence can convert the (...) Selleri transformation of ether theories into an apparent Lorentz transformation, which gives rise to an apparent equivalence of inertial frames. The results indicate that the special theory is invalid and that only an apparent relativity exists. (shrink)

Hugely facilitated by the Internet, plagiarism by students threatens educational quality and professional ethics worldwide. Plagiarism reduces learning and is correlated with increased fraud and inefficiency on the job, thus lessening competitiveness and hampering development.In this context, the present research examines 48 licenciatura theses and 102 masters theses from five of Mozambique’s largest universities. Of the 150 theses, 75% contained significant plagiarism (>100 word equivalents) and 39%, very much (>500 word equivalents). Significant plagiarism was detected in both licenciatura and masters (...) theses. By using both Turnitin and Urkund to identify potentially plagiarized passages, professionally verifying whether those passages contain plagiarism, and, if confirmed, counting the words involved, the study presents a new method for classifying the quantity and significance of plagiarism. The use of two text-similarity-recognition programs also improved the rate of detection and, in some theses, significantly increased the classification of the gravity of the plagiarism encountered.Based on a broad review of the literature, the article argues that, to combat wide-scale plagiarism, academic institutions need to cultivate a consensus among faculty and students about the definition and types of plagiarism, the appropriate penalties, and the paramount professional and economic need to nurture professional ethics. However, to achieve even partial success requires significant involvement by administrators, faculty, students and student leaders guided by a holistic strategy using technological, pedagogical, administrative and legal components to prevent and detect plagiarism and then reeducate or discipline students caught plagiarizing. (shrink)

A theory of magnitudes involves criteria for their equivalence, comparison and addition. In this article we examine these aspects from an abstract viewpoint, by focusing on the so-called De Zolt’s postulate in the theory of equivalence of plane polygons (“If a polygon is divided into polygonal parts in any given way, then the union of all but one of these parts is not equivalent to the given polygon”). We formulate an abstract version of this postulate and derive it (...) from some selected principles for magnitudes. We also formulate and derive an abstract version of Euclid’s Common Notion 5 (“The whole is greater than the part”), and analyze its logical relation to the former proposition. These results prove to be relevant for the clarification of some key conceptual aspects of Hilbert’s proof of De Zolt’s postulate, in his classicalFoundations of Geometry(1899). Furthermore, our abstract treatment of this central proposition provides interesting insights for the development of a well-behaved theory ofcompatiblemagnitudes. (shrink)

This paper asks about the climate damages that Indian policymakers can expect. What is the likely magnitude of climate damages, and how sensitive are they to the level of warming? How much worse would climate damages be for Indians under, say, 5° of warming rather than 3°? Understanding the magnitude of climate damages and how rapidly they increase as temperature change increases is critical for finding the right climate mitigation policy. This paper provides projections of India’s climate vulnerability (...) on the basis of new microeconomic and macroeconomic evidence. The authors’ quantifications show that India is highly vulnerable to climate damage. Their baseline macroeconomic approach suggests that climate change peaking at 5°C, rather than 3°C, would be as detrimental to Indian well-being as a reduction in GDP by about 18 percent for each of the years from 2020 to 2040. Such an equivalent threat to near-term economic outcomes would be an overriding policy priority if political leaders anticipated it. The authors’ microeconomic results suggest that this may be an underestimate, because it ignores humidity. Emerging evidence suggests that humans are especially vulnerable to exposure to high temperatures in contexts of high humidity; humidity is a previously underappreciated and unquantified reason way in which India may be more climate-vulnerable even than some hotter developing and middle-income countries. (shrink)

The passage “it must not have a body” of Melissus’ B9 is in contradiction, real or apparent, with the contents of B3 ̶ “it must be always unlimited in magnitude” ̶ and B7 ̶ “it is full.” After all, how can something without a body have magnitude and fullness? In this manuscript, I propose what I call the “immateriality thesis,” a view according to which what-is, as it has no body, no thickness, and no parts, is also immaterial. (...) To defend it, I first examine the relationship between the B9’s terms σῶμα (body) and πάχος (thickness) and the concepts of corporeality (“spatial limits”) and materiality (“physical constitution”) in the philosophical and medical literature of the 5th and 4th centuries B.C. Subsequently, I argue that, in B9, the denial of σῶμα and πάχος is equivalent to the denial of materiality to Melissus’ what-is. Furthermore, to support the “immateriality thesis,” I move away from the traditional strategies applied to resolve the incompatibility between B3, B7, and B9 and propose a new approach aiming to undo this Gordian knot of Melissus’ thought. I call it “modal analysis.” When applied to Melissan fragments, the “modal analysis” revealed the essential property of what-is, which is the indisputable assertion that it is τὸ ἓν (the one). Next, what-is’ accidental properties − μέγεθος (magnitude), πλέων (fullness), σῶμα (“lack of body”), and πάχος (“lack of thickness”) − were compared to the essential property. The upshot was that the “immateriality thesis,” although not without some difficulties, ended up being the best explanation we have left to interpret Melissus’ philosophy. (shrink)

Recently, there has been a revival in taking empirical magnitudes seriously. Weights, heights, velocities and the like have been accepted as abstract entities in their own right rather than just equivalence classes of objects. The aim of my paper is to show that this revival should include value magnitudes. If we posit such magnitudes, important value comparisons can be easily explained; it becomes easier to satisfy the axioms for measurement of value; goodness, badness, and neutrality can be given univocal (...) definitions; value aggregation can be given a non-mathematical understanding which allows for Moorean organic unities. Of course, this does not come for free. One has to accept a rich ontology of abstract value magnitudes, but, to quote David Lewis, ‘The price is right; the benefits in theoretical unity and economy are well worth the entities.’. (shrink)

Equality and identity. Bulletin of Symbolic Logic. 19 (2013) 255-6. (Coauthor: Anthony Ramnauth) Also see https://www.academia.edu/s/a6bf02aaab This article uses ‘equals’ [‘is equal to’] and ‘is’ [‘is identical to’, ‘is one and the same as’] as they are used in ordinary exact English. In a logically perfect language the oxymoron ‘the numbers 3 and 2+1 are the same number’ could not be said. Likewise, ‘the number 3 and the number 2+1 are one number’ is just as bad from a logical point (...) of view. In normal English these two sentences are idiomatically taken to express the true proposition that ‘the number 3 is the number 2+1’. Another idiomatic convention that interferes with clarity about equality and identity occurs in discussion of numbers: it is usual to write ‘3 equals 2+1’ when “3 is 2+1” is meant. When ‘3 equals 2+1’ is written there is a suggestion that 3 is not exactly the same number as 2+1 but that they merely have the same value. This becomes clear when we say that two of the sides of a triangle are equal if the two angles they subtend are equal or have the same measure. -/- Acknowledgements: Robert Barnes, Mark Brown, Jack Foran, Ivor Grattan-Guinness, Forest Hansen, David Hitchcock, Spaulding Hoffman, Calvin Jongsma, Justin Legault, Joaquin Miller, Tania Miller, and Wyman Park. -/- ► JOHN CORCORAN AND ANTHONY RAMNAUTH, Equality and identity. Philosophy, University at Buffalo, Buffalo, NY 14260-4150, USA E-mail: [email protected] The two halves of one line are equal but not identical [one and the same]. Otherwise the line would have only one half! Every line equals infinitely many other lines, but no line is [identical to] any other line—taking ‘identical’ strictly here and below. Knowing that two lines equaling a third are equal is useful; the condition “two lines equaling a third” often holds. In fact any two sides of an equilateral triangle is equal to the remaining side! But could knowing that two lines being [identical to] a third are identical be useful? The antecedent condition “two things identical to a third” never holds, nor does the consequent condition “two things being identical”. If two things were identical to a third, they would be the third and thus not be two things but only one. The plural predicate ‘are equal’ as in ‘All diameters of a given circle are equal’ is useful and natural. ‘Are identical’ as in ‘All centers of a given circle are identical’ is awkward or worse; it suggests that a circle has multiple centers. Substituting equals for equals [replacing one of two equals by the other] makes sense. Substituting identicals for identicals is empty—a thing is identical only to itself; substituting one thing for itself leaves that thing alone, does nothing. There are as many types of equality as magnitudes: angles, lines, planes, solids, times, etc. Each admits unit magnitudes. And each such equality analyzes as identity of magnitude: two lines are equal [in length] if the one’s length is identical to the other’s. Tarski [1] hardly mentioned equality-identity distinctions (pp. 54-63). His discussion begins: -/- Among the logical concepts […], the concept of IDENTITY or EQUALITY […] has the greatest importance. -/- Not until page 62 is there an equality-identity distinction. His only “notion of equality”, if such it is, is geometrical congruence—having the same size and shape—an equivalence relation not admitting any unit. Does anyone but Tarski ever say ‘this triangle is equal to that’ to mean that the first is congruent to that? What would motivate him to say such a thing? This lecture treats the history and philosophy of equality-identity distinctions. [1] ALFRED TARSKI, Introduction to Logic, Dover, New York, 1995. [This is expanded from the printed abstract.] . (shrink)

BackgroundThe amount and value of researchers’ peer review work is critical for academia and journal publishing. However, this labor is under-recognized, its magnitude is unknown, and alternative ways of organizing peer review labor are rarely considered.MethodsUsing publicly available data, we provide an estimate of researchers’ time and the salary-based contribution to the journal peer review system.ResultsWe found that the total time reviewers globally worked on peer reviews was over 100 million hours in 2020, equivalent to over 15 thousand years. (...) The estimated monetary value of the time US-based reviewers spent on reviews was over 1.5 billion USD in 2020. For China-based reviewers, the estimate is over 600 million USD, and for UK-based, close to 400 million USD.ConclusionsBy design, our results are very likely to be under-estimates as they reflect only a portion of the total number of journals worldwide. The numbers highlight the enormous amount of work and time that researchers provide to the publication system, and the importance of considering alternative ways of structuring, and paying for, peer review. We foster this process by discussing some alternative models that aim to boost the benefits of peer review, thus improving its cost-benefit ratio. (shrink)

De início, apresentaremos a tese de Demócrito e Leucipo, segundo a qual o ser não é mais que o não-ser, tendo como contraponto o pensamento eleata acerca da inexistência necessária do não-ser. Esta discussão nos remete à oposição entre o pleno e o vazio que será posteriormente traduzida na oposição entre o ser e o nada. Desse modo, a oposição entre o pleno e o vazio é uma oposição que se desloca para o ser e o não-ser. Em seguida, faremos (...) a apreciação do escrito pré-crítico kantiano Ensaio para introduzir em filosofia o conceito de grandeza negativa, no qual distinguimos certo tipo de oposição tomada entre grandezas em geral que, acreditamos, poderia ser interpretado como estando de acordo com o posicionamento de Demócrito e Leucipo sobre o estatuto ontológico do não-ser como princípio equivalente ao ser, e não como sua contradição em sentido puramente lógico. Initially, we present the theory of Democritus and Leucippus whereby being is not more than the not-being, in contrast to Eleatic ideas about the necessary inexistence of the not-being. This discussion leads us to the opposition between the whole and the empty, which will then be transposed into the opposition between being and nothingness. Thus, the opposition between wholeand the empty is an opposition that moves to beingand not-being. Finally, we will make an assessment of the Kantian pre-critical essay Attempt to introduce the concept of negative magnitude into philosophy, in which we recognize a kind of opposition that, as we believe, would be interpreted as being in agreement with the position of Democritus and Leucippus regarding the ontological status of the not-being as an equivalent principle to the being, understood here not as a mutual contradiction in a purely logical sense. (shrink)

The relation between two systems of attitude ascription that capture all the empirically significant aspects of an agents thought and speech may be analogous to that between two systems of magnitude ascription that are equivalent relative to a transformation of scale. If so, just as an objects weighing eight pounds doesnt relate that object to the number eight (for a different but equally good scale would use a different number), similarly an agents believing that P need not relate her (...) to P (for a different but equally adequate interpretive scheme could use a different proposition). In either case the only reality picked out by any system of ascription is what is common to all equivalent rivals. By emphasizing some contrasts between decision theory and belief-desire psychology, it is argued that if attitude ascription is appropriately analogous to measurement then not only is being related to a proposition an artifact of the system of representation chosen, so are belief and desire. (shrink)

This article examines international and European regulations on research involving prisoners for consensus, differences, and their consequences, and offers a critical evaluation of the various approaches. Agreement exists that prisoners are at risk of coercion, which might interfere with their ability to provide voluntary informed consent to research. Controversy exists about the magnitude of this risk and the consequences that should follow from this risk. Two strategies are proposed for a method of protecting prisoners that does not lead to (...) discrimination: first, more caution to assure non-coerced consent and second, restrictions on the type of research. Most regulations stress the importance of the principle of equivalence of healthcare in places of detention as part of an efficient protection against research risks and discrimination. All the presented approaches have shortcomings. While 'over-use' of prisoners for research as compared to the general population is ethically unjustified, not granting prisoners access to studies beneficial to their own health because of over-strict regulations is equally unjustified. A middle solution should be preferred, one that grants a minimum of protection together with the lowest possible barriers. Research that does not entail a direct benefit for the individual detainee should be restricted to types of research that have a benefit for detainees as a group and that are of low risk. What will ultimately protect prisoners best, while producing the greatest benefit for them, is access to the same healthcare available to members of the community including research as a true option. (shrink)

Conflicts of interest are receiving increased attention in medical research, clinical practice and education. Criticism of, and penalties for, conflicts of interest have been insufficiently discussed and have been applied without adequate conceptual backing. Genuine conflicts of interest are situations in which alternative courses of action are ethically equivalent, decision-making being less a matter of moral deliberation than of personal weighing of interest. In contrast, situations usually thought of as conflicts of interest are mostly temptations to follow an attractive but (...) undue option that causes harm by failing to uphold well-entrenched ethical standards. Examples of moral quandaries that pose as ethically neutral conflicts of interest are healthcare providers enticed to favour certain products; patients being referred to non-therapeutic trials entailing risks and non-optimal healthcare; industry-supported scientists failing to deliver unbiased research results and reports or participating in ghost-writing; and sponsored educators who praise their supporters beyond objective evidence. All these are moral blemishes, where integrity gives way to material incentives at the cost of provoking risky and harm-producing situations, thus constituting false conflicts of interest when they are in fact ethical misdemeanours. Disclosure has been the most widely recommended response to avoid the concealment of conflicting and ethically suspect interests. Regulations regarding disclosure reveal a utilitarian stance that shows more concern for the magnitude of support or sponsorship than for the underlying ethical transgression. Education and oversight should directly address and help correct the moral attitude towards undue influence of inducements and marketing strategies falsely posing as conflicts of interest. (shrink)

Emotion regulation (i.e. either up- or down-regulating affective responses to emotional stimuli) has been shown to modulate long-term emotional memory formation. Further, research has demonstrated that the emotional aspects of scenes are preferentially remembered relative to neutral aspects (known as the emotional memory trade-off effect). This trade-off is often enhanced when sleep follows learning, compared to an equivalent period of time spent awake. However, the interactive effects of sleep and emotion regulation on emotional memory are poorly understood. We presented 87 (...) participants with pictures of neutral or negative objects on neutral backgrounds paired with instructions to either increase or decrease their emotional response by altering personal relevance, or to passively view the stimuli. Following a 12 h period of sleep or wakefulness, participants were tested for their memory of objects and backgrounds separately. Although we replicated the emotional memory trade-off effect, no differences in the magnitude of the trade-off effect were observed between regulation conditions. Sleep improved all aspects of memory, but it did not preferentially benefit memory for emotional components of scenes. Irrespective of a period of sleep or wake following encoding, findings suggest emotion regulation during encoding did not influence memory for emotional items at a 12-hour delay. (shrink)

This paper addresses the issues related to designing and estimating the strength of solid-alloy elements in the deforming broaches of significant diameter (exceeding 150 mm) for the developed process of discrete broaching. The tool limit condition was assessed based on two strength criteria: the specific potential energy of shape change and the maximum tangent stresses. Numerical modeling using the finite element method has made it possible to derive the distribution of equivalent stresses in the tool elements and the contact stresses (...) at the surface of the contact between a solid-alloy insert and the body, which enabled the analysis of tool strength under loading. The simulation was performed under a single normal load, which ensured the versatility of the calculation for any contact pressure values. We have derived formulae to calculate the acceptable contact pressure depending on unit load. The effect of the insert protrusion height over the body on the strength of tool elements has been established. We have derived engineering dependences that determine the required magnitude of insert protrusion over the body depending on the ultimate load. An example of calculating the strength of a prefabricated deforming element in the machining of a sleeve made from gray modified cast iron of hardness HB230 has been considered. Our calculations have shown that the deforming element designed for the new technological process corresponds to the conditions of strength, provided the ratio h1/h=0.15 is maintained (where h1 is the insert height above the body, h is the insert height). The results obtained could be used in engineering calculations when designing the prefabricated tool for discrete deformation, as well as to assess the strength of prefabricated tools, such as cutters, core drills, reamers, when refining external loads. (shrink)

About forty years ago, when print media were still in their ascendancy, Marshall McLuhan argued that all media are extensions of the senses and that the rational view of the world associated with print is being replaced by a world-view associated with electronic media that stresses feelings and emotions. In 2003 researchers from the School of Information Management Sciences at Berkeley estimated that five exabytes of information had been generated in the previous year, equivalent to 37,000 times the holdings of (...) the Library of Congress and that 92.00% of this was on magnetic media, mostly hard disks, while only 0.01% was in print. This SIMS estimate could be wrong by several orders of magnitude and it would still be clear that the era of the printed word is waning rapidly. We are well-advised to pay attention to McLuhan’s suggestionthat electronic media change how we think and how we feel.Sense of place and virtual reality are both inextricably caught up in this cultural-technological upheaval. I have written about the concept of ‘place’ from a phenomenological perspective for many years and have achieved a reasonable understanding of its subtleties, but I have a limited knowledge of digital virtual reality and its technical attributes. Nevertheless, it seems to me that a mutual interaction is at work between what might be called ‘real’ place and virtual places, that digital virtual reality shares characteristics with other electronic media and that our experiences of real places are being changed those same media. This essay explores these issues particularlyfrom the perspective of the distinction between spirit of place and sense of place. (shrink)

The present authors have given a mathematical model of Mach's principle and of the Mach–Einstein doctrine about the complete induction of the inertial masses by the gravitation of the universe. The analytical formulation of the Mach–Einstein doctrine is based on Riemann's generalization of the Lagrangian analytical mechanics (with a generalization of the Galilean transformation) on Mach's definition of the inertial mass and on Einstein's principle of equivalence. All local and cosmological effects—which are postulated as consequences of Mach's principle by (...) C. Neumann, Mach, Friedländer and Einstein—result from the Riemannian dynamics with the Mach–Einstein doctrine. In celestial mechanics it follows, in addition, Einstein's formula for the perihelion motion. In cosmology, the Riemannian mechanics yields two models of an evolutionary universe with the expansion lows R ~ t or R ~ t2. In this paper, secular consequences of the Mach–Einstein doctrine are examined concerning palaeogeophysics and celestial mechanics. The research predicted secular decrease of the Earth's flattening and secular acceleration of the motion of the Moon and of the planets. The numerical values of this secular effect agree very well with the empirical facts. In all cases, the secular variation $\dot{\alpha}$ of the parameter α is the order of magnitude $\dot{\alpha}=-H_0 \alpha$ , where H0 is the instantaneous value of the Hubble constant: $H_0 =\left({\dot{R}/R} \right)_0 \approx \left( {0.5-1.0} \right) \times 10^{-10}a^{-1}$ . The relation of the secular consequences of the Mach–Einstein doctrine to those of Dirac's hypothesis on the expanding Earth, and to Darwin's theory of tidal friction are also discussed. (shrink)

In this work, a neo-classical relativistic mechanics theory is presented where the spin of an electron is an inherent part of its world space-time path as a point particle. The fourth-order equation of motion corresponds to the same covariant Lagrangian function in proper time as in special relativity except for an additional spin energy term. The theory provides a hidden-variable model of the electron where the dynamic variables give a complete description of its motion, giving a classical mechanics explanation of (...) the electron’s spin, its dipole moments, and Schrödinger’s zitterbewegung, These features are also described mathematically by quantum mechanics theory, of course, but without any physical picture of an underlying reality. The total motion of the electron can be decomposed into a sum of a local spin motion about a point and a global motion of this point, called here the spin center. The global motion is sub-luminal and described by Newton’s Second Law in proper time, the time for a clock fixed at the spin center, while the total motion occurs at the speed of light c, consistent with the eigenvalues of Dirac’s velocity operators having magnitude c. The local spin motion is an inherent perpetual motion, which for a free electron is periodic at the ultra-high zitterbewegung frequency and its path is circular in a spin-center reference frame. In an electro-magnetic field, this spin motion generates magnetic and electric dipole energies through the Lorentz force on the electron’s point charge. The electric dipole energy corresponds to the spin-orbit coupling term involving the electric field that appears in the corrected Pauli non-relativistic Hamiltonian, which has long been used to explain the doublet structure of the spectral lines of the excited hydrogen atom. Pauli’s spin-orbit term is usually derived, however, from his magnetic dipole energy term, including also the effect of Thomas precession, which halves this energy. The magnetic dipole energy from Pauli’s and Dirac’s theory is twice that in the neo-classical theory, a discrepancy that has not been resolved. By defining a spin tensor as the angular momentum of the electron’s total motion about its spin center, the fundamental equations of motion can be re-written in an identical form to those of the Barut–Zanghi electron theory. This allows the equations of motion to be expressed in an equivalent form involving operators applied to a state function of proper time satisfying a neo-classical Dirac–Schrödinger spinor equation. This state function produces the dynamic variables from the same operators as in Dirac’s theory for the electron but without any probability implications. It leads to a neo-classical wave function that satisfies Dirac’s relativistic wave equation for the free electron by applying the Lorentz transformation to express proper time in the state function in terms of an observer’s space-time coordinates, showing that there is a close connection between the neo-classical theory and quantum mechanics theory for the electron’s dynamics. (shrink)

This paper analyzes the theory of area developed by Euclid in the Elements and its modern reinterpretation in Hilbert’s influential monograph Foundations of Geometry. Particular attention is bestowed upon the role that two specific principles play in these theories, namely the famous common notion 5 and the geometrical proposition known as De Zolt’s postulate. On the one hand, we argue that an adequate elucidation of how these two principles are conceptually related in the theories of Euclid and Hilbert is highly (...) relevant for a better understanding of the respective geometrical practices. On the other hand, we claim that these conceptual relations unveil interesting issues between the two main contemporary approaches to the study of area of plane rectilinear figures, i.e., the geometrical approach consisting in the geometrical theory of equivalence and the metrical approach based on the notion of measure of area. Finally, in an appendix logical relations among equivalence, comparison and addition of magnitudes are examined schematically in an abstract setting. (shrink)

Consideration of the property of action is proposed to provide a more meaningful definition of efficient energy use and sustainable production in ecosystems. Action has physical dimensions similar to angular momentum, its magnitude varying with mass, spatial configuration and relative motion. In this article, the relationship of action to thermodynamic processes such as the spontaneous increase in entropy of the second law is explained and the utility of action for measuring changes in energy and material distribution is promoted. In (...) particular, the view that increases in entropy and action are equivalent to disorder is challenged. Given that the development of action states may be assigned an economic value and the various sources of free energy assigned a price, action theory may provide a novel mechanism for the economic allocation of resources. The importance of the diversity and redundancy of energy resources and work processes to optimize action is highlighted. (shrink)

The chapter begins by explaining the concepts of quantity and magnitude. It then presents the method of measurement without using magnitude. This method of direct measurement can be achieved through the observation of the transitive relation among objects. A particular set of equivalence classes is selected to serve as a unit of measurement and is assigned magnitude. The concept of measurement error and approximation is then introduced. In some cases, such as temperature, indirect measurement, or measurement (...) in terms of a different quantity, yields less error and proves more accurate and convenient than direct measurement. In general, indirect measurements of different kinds are appropriate at different regions of the scale. (shrink)

Protophysics and Special Theory of Relativity. First, a proposal for a constructive foundation of the Special Theory of Relativity by M. Buth is criticized and confronted with an alternative proposal by the author. The main idea is to solve the problem of transforming coordinates between inertial systems in terms of the General Theory of Measurement. Regarding transformations of co-ordinates as transformations of thecorresponding “functions of measurement” these functions have to meet two demands. 1. To identify measured values which are related (...) to different inertial systems and measuring procedures as the same magnitude, the ratio scale of length and duration has to be defined with respect to the whole class of inertial systems. 2. Using the concept of a certain physical magnitude, propositions about measuring devices are made which are invariant with respect to measuring procedures. As aconsequence every transformation between functions of measurement has to be an equivalence relation. The first demand leads to linearity, the second one reduces the set of permissible transformations between inertial systems to the alternative of Galilei- and Lorentz-transformation. The (im)possibility of putting an absolute simultaneity into practice decides between these transformations. (shrink)

Understanding the hadiths requires not only knowing the language well but also knowing the intention of the narrator, the environment and context in which the word is uttered. Furthermore, within a language, the presence of the words which have entirely disconnected from their real meaning due to the metaphoric and idiomatic use of them developed in time requires making more efforts to understand them. In this respect, the expression ‘Aqrā-Ḥalqā’ used by Prophet Muhammad (PBUH) for Ṣafiyya in the Farewell Sermon (...) when he was leaving Mecca, is mostly attributed to inauspiciousness and thus, requires special investigation. Determination of the correct meaning and use of the expression will prevent any misunderstanding. However, only the literal equivalences of the expression have been used in its annotations and translations until now. By including the annotations and translations of the expression in dictionaries and Ġarību'l- Ḥadīth books, which were written with a more specific purpose, this study aims to find the most suitable meaning by considering all these data and the data which compatible with the sunnah.Summary: Before the leaving of Prophet Muhammad after the Farewell Sermon, he learned that one of his wife Ṣafiyya is in her period (ḥayḍ). After hearing this, he used the expression ‘Aqrā-Ḥalqā’. These statements are not frequently used in the Arabic language. The expressions, which we encounter in some ancient Arab poems, were mentioned several times in some hadiths while narrating the stories of the past societies (ummah), and as far as we can see they were used only for Ṣafiyya by the Prophet. The reason for Prophet's expression was because after he was informed that Ṣafiyya was in period, he thought that she did not make the obligatory circumambulation. Depending on this, the Prophet thought that they could not returning to Medina immediately; thus, he said this word with the confusion and anxiety caused by the difficulty of staying in Mecca for a while with a crowded pilgrim group. With regard to the meaning of these words, both the diversity in the translations and some negative comments and inferences in the annotations, this study was written.There is a sufficient amount of information about the meanings of this expression in classical dictionaries and works such as Ġarību'l- Ḥadīth. These works state that they have meanings such as death, injury, infertility, illness, bad luck and mourning at the root of the words. Although the fundamental roots of the words have these meanings, the expressions have undergone a change and transformation. As with some other examples in the Arabic language, these words have lost their relevance for their meaning root gradually and have been used more often for astonishment. This information is included in both classical sources and contemporary studies on the subject.Despite the fact that the expression has become independent from their root meaning and has an astonishing sense used in case of confusion, negative emphasis comes to the fore both in Turkish translations and in some commentaries. In Turkish translations, the usages which are related directly to the word itself and emphasizing its meaning for bad luck are dominant, but sometimes translations that give the meaning of astonishment, sometimes translations that are not related to the word have been made, and sometimes they have been contented with latinizing the word instead of translation. Additionally, the malediction used in searching the correct meaning to the word leads to an emphasize toward negativity.While most of the annotations do not give much information about the expressions, it is seen that some authors give a negative meaning to the words and accordingly, they make a comparison between Ṣafiyya and ‘Ā’isha. Because of the special situation of ‘Ā’isha, she was upset that she could not make umrah and she conveyed this situation to our Prophet. Hence the Prophet produced a solution for her to complete her umrah. In the one hand, producing a solution to ‘Ā’isha by the Prophet and comforting her, on the other hand, his expression ‘Aqrā-Ḥalqā’ for Ṣafiyya in a similar situation led some scholars to conclude that Ṣafiyya was not as valuable as ‘Ā’isha in the eyes of the Prophet. However, this result is not acceptable. Although there is no evidence for this, in another annotation, it is conveyed that the Prophet had said these words to her by its meaning for “her tongue is long” because Ṣafiyya spoke to the Prophet with disrespect. Another commentary based on this promise makes the provision that a man can talk heavily to his wife when she delays something.The implications that depend on the assumption these words have negative meanings and produce results related to this assumption are incompatible with other data of circumcision. It could not be possible that the Prophet, who defended Ṣafiyya against the criticism against Ṣafiyya and who even guided him to defend himself, had a bad word for his wife. If the meaning of bad luck is given, then the Prophet will be the first person who disregards his own word “there is no bad luck”. Besides, the Prophet's good communication with the women in all areas of his life makes it impossible for him to say "damn" to one of his wives. It seems it is not logical for the Prophet to say this word to his wife, who is waiting in sorrow in front of his tent even after special worship Hajj.The translations, which are opposed to both the basic principles of religion and the guide life of Prophet, bring many problems. This translations, on the one hand, are drawing a portrait of a prophet who is intolerant to women and their specific situations, degrading women, and able to say rude and bad words whenever he wishes, on the other hand, are reflecting an image for the Prophet who does not comply with his own warnings. However, based on the information provided by the classical dictionaries, translations such as "Alas!" to indicate the magnitude and gravity of the situation that the word is currently facing, or "Wow!" to express the astonishment, will prevent all these negative consequences.As in many other fields, the translation of religious texts, especially hadiths, appears as an area that needs to be carefully considered in this regard. Thus, the expression ‘Aqrā-Ḥalqā’ was chosen as the main theme of this study. The translation of hadiths has an essential function and the only way for those who do not speak Arabic is to learn about the life of the Prophet. For this reason, one of the main results of the study is that only knowledge on grammar is not sufficient for the translation of the hadiths. On the contrary, the persons who will translate hadiths must have many competencies in the field such as the reasons for hadiths, their relationship with other hadiths, and understanding the hadith in line with the basic principles. Beyond this knowledge, it should be expected to master areas that require particular studies such as strange words in the language, meaningful constrictions, enlargements and shifts over time, proverbs and idiomatic expressions. Otherwise, it will be impossible to prevent a biased and wrong prophet representation. (shrink)

Proposals for various forms of Basic Income, including Guaranteed Minimum Income (GMI) and Universal Basic Income (UBI) have received increasingly broad attention in recent years, both globally and in Australia. If all existing payments and taxes are applied on a purely individual basis (or entirely on a household basis), the distributional impacts of the introduction of GMI and UBI are equivalent. The key concept here is the effective marginal rate of taxation (EMTR), which is the combined effect of taxes paid (...) on additional income and welfare payments withdrawn as income rises. This equivalence between UBI, GMI and Negative Income Tax (NIT) breaks down if, as in Australia, taxes are levied primarily on individual income while benefits are paid to households and means tested on a household basis. The purpose of this paper is to use micro-simulation to illustrate how this distinction changes the distributional effects of Basic Income schemes and the magnitude of the EMTR required to finance them. Modelling is completed through microsimulation using Treasury’s CAPITA model. (shrink)

We investigated whether a pre-change representation is inhibited or weakened under correct change detection. Two arrays of six objects were rapidly presented for change detection in three experiments. After detection, the perceptual identification of degraded stimuli was tested in Experiments 1 and 2. The weakening of a pre-change representation was not observed under correct detection. The repetition priming effect was observed for a pre-change object and the magnitude was equivalent to the effect for a post-change object. Under change blindness, (...) repetition priming for a pre-change representation was observed when detection did not require report of location in Experiment 1 and was not observed when location was required to be reported in Experiment 2. The results of Experiment 3 showed that a pre-change representation was recognized at a higher rate under correct detection than under change blindness, reflecting a stronger rather than a weaker pre-change representation in the former context. (shrink)

In the Critique of Pure Reason, Kant defends the mathematically deterministic world of physics by arguing that its essential features arise necessarily from innate forms of intuition and rules of understanding through combinatory acts of imagination. Knowing is active: it constructs the unity of nature by combining appearances in certain mandatory ways. What is mandated is that sensible awareness provide objects that conform to the structure of ostensive judgment: “This (S) is P.” -/- Sensibility alone provides no such objects, so (...) the imagination compensates by combining passing point-data into “pure” referents for the subject-position, predicate-position, and copula. The result is a cognitive encounter with a generic physical object whose characteristics—magnitude, substance, property, quality, and causality—are abstracted as the Kantian categories. Each characteristic is a product of “sensible synthesis” that has been “determined” by a “function of unity” in judgment. -/- Understanding the possibility of such determination by judgment is the chief difficulty for any rehabilitative reconstruction of Kant’s theory. I will show that Kant conceives of figurative synthesis as an act of line-drawing, and of the functions of unity as rules for attending to this act. The subject-position refers to substance, identified as the objective time-continuum; the predicate-position, to quality, identified as the continuum of property values (constituting the second-order type named by the predicate concept). The upshot is that both positions refer to continuous magnitudes, related so that one (time-value) is the condition of the other (property-value). -/- Kant’s theory of physically constructive grammar is thus equivalent to the analytic-geometric formalism at work in the practice of mathematical physics, which schematizes time and state as lines related by an algebraic formula. Kant theorizes the subject–predicate relation in ostensive judgment as an algebraic time–state function. When aimed towards sensibility, “S is P” functions as the algebraic relation “t → ƒ(t).”. (shrink)

Following a heuristic modification of the principle of inertia and the principle of equivalence, a higher-dimensional metric theory is constructed on the manifold of the SO(3, 2) De Sitter group which allows us to treat structureless and spinning particles on the same footing. A dimensional analysis of the physical magnitudes is performed.

Value analysis establishes a way to practice functional analysis which enables to think all matter as sets of functions. The study of the correlations between the phases of activation of these functions leads to consider the aggregation of correlated activation functions as an attractor in a configuration space. This point of view allows figuring out general behaviors reducing the conceptual gap between microeconomics and macroeconomics. Then, based on a characterization of complex adaptive systems in terms of functional attractors, the theory (...) links together value and physical magnitudes, like work or energy and action. The evolution of these systems is studied from the viewpoints of learning or of voluntary and involuntary interactions with others described in the ultimate way by the strategies, or operators, of which they make use. Three kinds of uncertainties are emphasized among which the uncertainty between the structure and the business outlook of a system is recreated through an analogy between physics and economics. The rationality of the complex functional systems economics is based on value and on market or environment awareness. Equilibria establish potential of agents or players whose profiles are built through the equivalence between a time-dependent payoff at equilibrium and the regular value of the corresponding attractor. The law of supply and demand is naturally founded on unbiased profiles of agents and can be a means of uncertainty reduction and of growth. Freedoms are opportunities to grow, when they result in confidence, and to bear risks in decision-making through an innovative process. (shrink)

Empirical discussions of mental representation appeal to a wide variety of representational kinds. Some of these kinds, such as the sentential representations underlying language use and the pictorial representations of visual imagery, are thoroughly familiar to philosophers. Others have received almost no philosophical attention at all. Included in this latter category are analogue magnitude representations, which enable a wide range of organisms to primitively represent spatial, temporal, numerical, and related magnitudes. This article aims to introduce analogue magnitude representations (...) to a philosophical audience by rehearsing empirical evidence for their existence and analysing their format, their content, and the computations they support. 1 Background1.1 Evidence of analogue magnitude representations1.2 Weber’s law1.3 Scepticism about analogue magnitude representations2 Format2.1 Carey’s analogy2.2 Neural realization2.3 Analogue representation2.4 Analogue magnitude representation components3 Content3.1 Do analogue magnitude representations have representational content?3.2 What do analogue magnitude representations represent?3.3 What content types do analogue magnitude representations have?4 Computations4.1 Arithmetic computation4.2 Practical deliberation5 Conclusion. (shrink)

In a recent paper by Casasanto and Pitt (2019), the authors addressed a debate regarding the role of order and magnitude in SNARC and SNARC‐like effects. Their position is that all these effects can be explained by order, while magnitude could only account for a subset of evidence. Although we agree that order can probably explain the majority of these effects, in this commentary we argue that magnitude is still relevant, since there is evidence that cannot be (...) explained based on ordinality alone. We argue that SNARC‐like effects can occur for magnitudes not clearly characterized by overlearned ordinality and that magnitude can prevail on order, when the two are pitted against each other. Finally, we propose that different interpretations of the role of order and magnitude depend on the interaction of stimulus properties and task demands. (shrink)

I am going to argue for a robust realism about magnitudes, as irreducible elements in our ontology. This realistic attitude, I will argue, gives a better metaphysics than the alternatives. It suggests some new options in the philosophy of science. It also provides the materials for a better account of the mind’s relation to the world, in particular its perceptual relations.

Analog representations come in different types. One distinction is between those representations that have parts that are themselves representations and those that do not (i.e., those for which the Parts Principle is true and those for which it is not). I offer a unified account of analog representation, showing what all types have in common. This account clarifies when the Parts Principle applies and when it does not, thereby illuminating why the Parts Principle is less interesting than one might have (...) thought. Understanding analog representation instead requires understanding the kinds of magnitudes used in a particular representation, and the kinds of variation possible within a representational scheme. (shrink)

In recent work, Christopher Peacocke has argued for a kind of realism (or anti-reductionism) about magnitudes such as temperature and spatial distance. Peacocke’s argument is that magnitudes are an ineliminable commitment of scientific and everyday explanations (including high-level explanations), and that they are the natural candidates for semantic values of our ordinary magnitude talk, and for contents of our mental states. I critique these arguments, in particular focusing on whether the realist has a satisfactory account of how high-level (...) class='Hi'>magnitude facts are grounded in lower-level facts. I argue that a less realist (i.e., more reductionist approach) is preferable, or at least viable. I also aim to substantially clarify what is at stake in the debate. (shrink)

For Kant, inquiry into nature properly requires seeking to explain all material wholes merely mechanically, in terms of their parts. There is no consensus on how he justifies this Principle of Mechanism. I argue that Kant seeks to derive this claim about part and wholes neither from his laws or mechanics, nor from the mere discursivity of our understanding (two standard options in the literature), but instead from a priori principles laid out in the first Critique, which govern parts, wholes, (...) and magnitudes. These principles are also fundamental to Kant’s account of mathematics. Therefore, Kant’s Principle of Mechanism and his philosophy of mathematics have common foundations. (shrink)

Equivalences and translations between consequence relations abound in logic. The notion of equivalence can be defined syntactically, in terms of translations of formulas, and order-theoretically, in terms of the associated lattices of theories. W. Blok and D. Pigozzi proved in [4] that the two definitions coincide in the case of an algebraizable sentential deductive system. A refined treatment of this equivalence was provided by W. Blok and B. Jónsson in [3]. Other authors have extended this result to the (...) cases of k-deductive systems and of consequence relations on associative, commutative, multiple conclusion sequents. Our main result subsumes all existing results in the literature and reveals their common character. The proofs are of order-theoretic and categorical nature. (shrink)

Quantities are naturally viewed as functions, whose arguments may be construed as situations, events, objects, etc. We explore the question of the range of these functions: should it be construed as the real numbers (or some subset thereof)? This is Carnap's view. It has attractive features, specifically, what Carnap views as ontological economy. Or should the range of a quantity be a set of magnitudes? This may have been Helmholtz's view, and it, too, has attractive features. It reveals the close (...) connection between measurement and natural law, it makes dimensional analysis intelligible, and explains the concern of scientists and engineers with units in equations. It leaves the philosophical problem of the relation between the structure of magnitudes and the structure of the reals. What explains it? And is it always the same? We will argue that on the whole, construing the values of quantities as magnitudes has some advantages, and that (as Helmholtz seems to suggest in "Numbering and Measuring from an Epistemological Viewpoint") the relation between magnitudes and real numbers can be based on foundational similarities of structure. (shrink)

This paper addresses a number of closely related questions concerning Kant's model of intentionality, and his conceptions of unity and of magnitude [Gröβe]. These questions are important because they shed light on three issues which are central to the Critical system, and which connect directly to the recent analytic literature on perception: the issues are conceptualism, the status of the imagination, and perceptual atomism. In Section 1, I provide a sketch of the exegetical and philosophical problems raised by Kant's (...) views on these issues. I then develop, in Section 2, a detailed analysis of Kant's theory of perception as elaborated in both the Critique of Pure Reason and the Critique of Judgment; I show how this analysis provides a preliminary framework for resolving the difficulties raised in Section 1. In Section 3, I extend my analysis of Kant's position by considering a specific test case: the Axioms of Intuition. I contend that one way to make sense of Kant's argument is by juxtaposing it with Russell's response to Bradley's regress; I focus in particular on the concept of ‘unity’. Finally, I offer, in Section 4, a philosophical assessment of the position attributed to Kant in Sections 2 and 3. I argue that, while Kant's account has significant strengths, a number of key areas remain underdeveloped; I suggest that the phenomenological tradition may be read as attempting to fill precisely those gaps. (shrink)

Given a rich environment, how do we decide on what information to use? A view of a single entity (e.g., a group of birds) affords many distinct interpretations, including their number, average size, and spatial extent. An enduring challenge for cognition, therefore, is to focus resources on the most relevant evidence for any particular decision. In the present study, subjects completed three tasks—number discrimination, surface area discrimination, and convex hull discrimination—with the same stimulus set, where these three features were orthogonalized. (...) Therefore, only the relevant feature provided consistent evidence for decisions in each task. This allowed us to determine how well humans discriminate each feature dimension and what evidence they relied on to do so. We introduce a novel computational approach that fits both feature precision and feature use. We found that the most relevant feature for each decision is extracted and relied on, with minor contributions from competing features. These results suggest that multiple feature dimensions are separately represented for each attended ensemble of many items and that cognition is efficient at selecting the appropriate evidence for a decision. (shrink)

In his ontological works Kurt Grelling tries to give a rigorous analysis of the foundations of the so-called Gestalt-psychology. Gestalten are peculiar emergent qualities, ontologically dependent on their foundations, but nonetheless non reducible to them. Grelling shows that this concept, as used in psychology and ontology, is often ambiguous. He distinguishes two important meanings in which the word “Gestalt” is used: Gestalten as structural aspects available to transposition and Gestalten as causally self-regulating wholes. Gestalten in the first meaning are, according (...) to Grelling, “equivalence classes of correspondences”, while Gestalten as self-regulating wholes have more to do with relations of ontological dependence. Grelling’s clarification of the concept of Gestalt is doubtless an excellent piece of philosophical analysis, but at the end of the day it turns out that his analysis captures at best only a part of intuitions traditionally connected with the notion of Gestalt. (shrink)

In this paper we scrutinize the so called Principle of Local Lorentz Invariance (PLLI) that many authors claim to follow from the Equivalence Principle. Using rigourous mathematics, we introduce in the General Theory of Relativity two classes of reference frames (PIRFs and LLRFγs) which as natural generalizations of the concept of the inertial reference frames of the Special Relativity Theory. We show that it is the class of the LLRFγs that is associated with the PLLI. Next we give a (...) definition of physically equivalent reference frames. Then, we prove that there are models of General Relativity Theory (in particular on a Friedmann universe) where the PLLI is false. However our finding is not in contradiction with the many experimental claims vindicating the PLLI, because theses experiments do not have enough accuracy to detect the effect we found. We prove moreover that PIRFs are not physically equivalent. (shrink)

In the early twenty-first century, liberal democracies have witnessed their foundational norms of critique and deliberation being disrupted by a combination of populist and technological forces. A distinctive style of dispute has appeared, in which a speaker denounces the unfairness of all liberal and institutional systems of equivalence, including the measures of law, economics and the various other ‘tests’ which convention scholars have deemed core to organisations. The article reviews how sociologists of critique have tended to treat critical capacities (...) as oriented towards consensus but then considers how technologies of real-time ‘control’ circumvent liberal critique altogether. In response, a different type of dispute emerges in the digital public sphere, which abandons equivalences in general, instead adopting a non-representational template of warfare. This style of post-liberal dispute is manifest in the rhetoric of populists but does not originate there. (shrink)