Scientific properties come in degrees: elephants are more massive than mice. Are facts like these fundamental or can they be explained in other terms? This article argues that the structure of physical quantities like mass reduces to facts about the role that mass plays in the laws of nature. On this view elephants are more massive than mice partly in virtue of the fact that elephants are harder to throw around.

In an age characterized by impersonality and a fear of individuality this book is indeed unusual. It is personal, individualistic and idiosyncratic - a record of the scientific adventure of a single mind. Most scientific writing today is so depersonalized that it is impossible to recognize the man behind the work, even when one knows him. Costa de Beauregard's scientific career has focused on three domains - special relativity, statistics and irreversibility, and quantum mechanics. In Time, the Physical Magnitude (...) he has provided a personal vade mecum to those problems, concepts, and ideas with which he has been so long preoccupied. Some years ago we were struck by a simple and profound observa tion of Mendel Sachs, the gist of which follows. Relativity is based on very simple ideas but, because it requires highly complicated mathe matics, people find it difficult. Quantum mechanics, on the other hand, derives from very complicated principles but, since its mathematics is straightforward, people feel they understand it. In some ways they are like the bourgeois gentilhomme of Moliere in that they speak quantum mechanics without knowing what it is. Costa de Beauregard recognizes the complexity of quantum mechanics. A great virtue of the book is that he does not hide or shy away from the complexity. He exposes it fully while presenting his ideas in a non-dogmatic way. (shrink)

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)

Dimensional quantities such as length, mass and charge, i.e., numbers combined with a conventional unit, are essential components of theories in the sciences, especially physics, chemistry and biology. Do they represent a world with absolute physical magnitudes, or are they merely magnitude ratios in disguise? Would we notice a difference if all the distances or charges in the world suddenly doubled? These central questions of this Element are illustrated by imagining how one would convey the meaning of a (...) kilogram to aliens if one were only allowed to communicate via Morse code. (shrink)

After writing my response to the commentaries, I sat back and reflected on the fascination and frustration of work on this topic. There is the ancient fascination of trying to understand the nature of the sensory bridge linking us to the external world. Also, discussing the measurability of sensation brings to the surface concepts we use and take for granted when we are working in other areas of psychology; and it holds them before us for critical examination. The frustration lies (...) chiefly in the difficulty of formulating concepts clearly, in a way understood by all. At least when constructing the original Tower of Babel, workers hearing strange words knew that communication was not occurring. The psychophysical Tower of Babel sometimes has workers using the same words, but with different meanings. Much of my response is based on attempts to clarify concepts and clear up confusions. (shrink)

This paper examines the history of two related problems concerning earthquakes, and the way in which a theoretical advance was involved in their resolution. The first problem is the development of a physical, as opposed to empirical, scale for measuring the size of earthquakes. The second problem is that of understanding what happens at the source of an earthquake. There was a controversy about what the proper model for the seismic source mechanism is, which was finally resolved through advances (...) in the theory of elastic dislocations. These two problems are linked, because the development of a physically based magnitude scale requires an understanding of what goes on at the seismic source. I will show how the theoretical advances allowed seismologists to re-frame the questions they were trying to answer, so that the data they gathered could be brought to bear on the problem of seismic sources in new ways. (shrink)

For the most part, this is a fairly literal translation, but I have opted for a few English idioms for the sake of readability. In that spirit, I have kept the original punctuation, which results in very long sentences, but I have inserted paragraph breaks for readability. I mark these inserted breaks with this sign [¶]; unmarked breaks are in the original. In addition to providing the French for difficult translations, I also interpolate a few English words for readability. Simondon’s (...) notes appear as footnotes; translator’s notes as endnotes. (shrink)

Department of History and Philosophy of Science. University of Cambridge, Free School Lane, Cambridge CB2 3RH This paper is concerned with the question of whether atomic particles of the same species, i. e. with the same intrinsic state-independent properties of mass, spin, electric charge, etc, violate the Leibnizian Principle of the Identity of Indiscernibles, in the sense that, while there is more than one of them, their state-dependent properties may also all be the same. The answer depends on what exactly (...) the state-dependent properties of atomic particles are taken to be. On the plausible interpretation that these should comprise all monadic and relational properties that can be expressed in terms of physical magnitudes associated with self-adjoint operators that can be defined for the individual particles, then the weakest form of the Principle is shown to be violated for bosons, fermions and higher-order paraparticles, treated in first quantization *Some of the arguments inn this paper appeared in a thesis submited by one of us (S.F.) In partial fulfilment of the requirements for the PhD degree of the University of London, in 1984. entitled 'Identity and ‘Individuality in Classical and Quantum Physics’. (shrink)

ABSTRACT This article examines Bergson’s critique of intensive magnitude in Time and Free Will. I demonstrate how his rejection of a different kind of quantity that is ordinal and does not allow measurement, and the underlying strict dualism of quantity and quality, is inconsistent with both the letter and the spirit of his later philosophy. I dismantle two main strategies for explaining these inconsistencies. Furthermore, I argue that Bergson’s simplistic conception of quantity in terms of homogeneous multiplicity, which is operative (...) in his rejection of an alternative conception of quantity, lacks justification in the face of the transformations that the concept of quantity underwent in the history of mathematics and physics. (shrink)

SummaryThe paper presents a paradigmatic part of the logic of magnitudes, an invention of Descartes, different from alethic formal logic, but a proper formal logic sui generis. Descartes' logic consists of corporeal – geometrical and physical – devices that behave like deductive calculi, generating inferences of magnitudes from magnitudes. Its syntactic elements are magnitudes as corporeal entities, whose connections can be characterized by various magnitudinal connectives, distinguished from those of alethic logic. The paper presents two (...) kinds of orthogonal and the congruence connectives applying them to line segments and to physical magnitudes. It describes the value semantics and the interpretative semantics of these connections, the inference rules they take part in, states the conditions for validity and theoremhood, and compares it to model theory. It shows that one of the orthogonal connections displays the ontic and logical properties of Descartes’ideae innatae, whereas the other displays those of Descartes’ideae factae, and shows that the physical law m v =p regarded as an orthogonal connection is an idea innata. (shrink)

Simplicius, writing in the sixth century, distinguishes physical science from astronomy on the ground that, whereas it is the function of the physicist to “inquire into the nature of the heavens and the stars, into their potentialities, their quality, their becoming and passing away,” astronomy has no competence in questions of this primary character. Its function is “to determine the order of the heavenly bodies, their figures, magnitudes, distances from the earth, sun and moon, their eclipses, conjunctions, the (...) quantitative and qualitative properties of their motions,” etc. For this purpose it requires arithmetic and geometry, but cares not how the heavenly motions be described, whether in terms of excentrics or epicycles, so long as the appearances can thus be accounted for. (shrink)

The problem of the intensification and remission of qualities was a crux for philosophical, theological, and scientific thought in the Middle Ages. It was raised in Antiquity with this remark of Aristotle: some qualities, as accidental beings, admit the more and the less. Admitting more and less is not a trivial property, since it belongs neither to every category of being, nor to every quality. Rather it applies only to states and dispositions such as virtue, to affections of bodies such (...) as heat and sweetness, and to affections of soul such as anger. However, the property of admitting more and less was a matter of importance for the qualitative physics that had reigned up to about the time of Descartes, a physics which was concerned with concepts such as heat, coldness, lightness, heaviness, and so on. (shrink)

Spatial, physical, and semantic magnitude dimensions can influence action decisions in human cognitive processing and interact with each other. For example, in the SNARC effect, semantic numerical magnitude facilitates left-hand or right-hand responding dependent on the small or large magnitude of number symbols. SNARC-like interactions of numerical magnitudes with the radial spatial dimension (depth) were postulated from early on. Usually, the SNARC effect in any direction is investigated using fronto-parallel computer monitors for presentation of stimuli. In such 2D (...) setups, however, the metaphorical and literal interpretation of the radial depth axis with seemingly close / far stimuli or responses are not distinct. Hence, it is difficult to draw clear conclusions with respect to the contribution of different spatial mappings to the SNARC effect. In order to disentangle the different mappings in a natural way, we studied parametrical interactions between semantic numerical magnitude, horizontal directional responses, and perceptual distance by means of stereoscopic depth in an immersive virtual reality (VR). Two VR experiments show horizontal SNARC effects across all spatial displacements in traditional latency measures and kinematic response parameters. No indications of a SNARC effect along the depth axis, as it would be predicted by a direct mapping account, were observed, but the results show a non-linear relationship between horizontal SNARC slopes and physical distance. Steepest SNARC slopes were observed for digits presented close to the hands. We conclude that spatial-numerical processing is susceptible to effector-based processes but relatively resilient to task-irrelevant variations of radial-spatial magnitudes. (shrink)

This research on the ethics of meaningful work examined how types of job-related harm and their magnitude of consequences influenced components of ethical decision-making. The research also investigated the moderating effects of individual differences on the relation between the MOC and the ethical decision-making elements for each type of harm. Using a sample of 185 Chinese professionals, a between-subjects, fully crossed experimental scenario design revealed that physical and economic job-related harm were recognized as moral issues to a greater extent (...) than cognitive or emotional harm. Second, physical job-related harm stimulated a higher level of moral evaluations than economic and cognitive harm. Third, individuals intended to act ethically when MOC was high versus low. Finally, experience with layoffs and IMO helped explain the relations between MOC and moral evaluations for economic and cognitive job-related harm, respectively. Implications for research and management are discussed. (shrink)

Aristotle offers several arguments in Physics viii.8 for his thesis that, when something moves back and forth, it does not undergo a single motion. These arguments occur against the background of a sophisticated theory, expounded in Physics v—vi, of the basic structure of motions and of other continuous entities such as times and magnitudes. The arguments in Physics viii.8 stand in a complex relation to that theory. On the one hand, Aristotle evidently relies on the theory in a number (...) of crucial steps. Yet in other steps he seems to contradict or misapply the theory. This situation offers the occasion to examine Aristotle’s views about some fundamentals in the metaphysics of motion, while also raising questions about the unity of the text which has come down to us as the Physics. (shrink)

Qualitative Reasoning (QR) is an area of research within Artificial Intelligence that automates reasoning and problem solving about the physical world. QR research aims to deal with representation and reasoning about continuous aspects of entities without the kind of precise quantitative information needed by conventional numerical analysis techniques. Order-of-magnitude Reasoning (OMR) is an approach in QR concerned with the analysis of physical systems in terms of relative magnitudes. In this paper we consider the logic OMR_N for order-of-magnitude (...) reasoning with the bidirectional negligibility relation. It is a multi-modal logic given by a Hilbert-style axiomatization that reflects properties and interactions of two basic accessibility relations (strict linear order and bidirectional negligibility). Although the logic was studied in many papers, nothing was known about its decidability. In the paper we prove decidability of OMR N by showing that the logic has the strong finite model property. (shrink)

With reference to two specific modalities of sensation, the taste of saltiness of chloride salts, and the loudness of steady tones, it is shown that the laws of sensation (logarithmic and power laws) are expressions of the entropy per mole of the stimulus. That is, the laws of sensation are linear functions of molar entropy. In partial verification of this hypothesis, we are able to derive an approximate value for the gas constant, a fundamental physical constant, directly from psychophysical (...) measurements. The significance of our observation lies in the linking of the phenomenon of “sensation” directly to a physical measure. It suggests that if the laws of physics are universal, the laws of sensation and perception are similarly universal. It also connects the sensation of a simple, steady physical signal with the molecular structure of the signal: the greater the number of microstates or complexions of the stimulus signal, the greater the magnitude of the sensation (saltiness or loudness). The hypothesis is currently tested on two sensory modalities. (shrink)

And the first step of the Peripatetick argument is that, where Aristotle proveth the integrity and perfection of the World, telling us, that it is not a simple line, nor a bare superficies, but a body adorned with Longitude, Latitude and Profundity; and because there are no more dimensions but these three; the World having them, hath all, and having all, is to be concluded perfect. And again, that by simple length, that magnitude is constituted, which is called a line, (...) to which adding breadth, there is formed a Superficies, and yet further adding the altitude or profundity, there results the Body, and after these three the dimensions there is no passing farther, so that in these three the integrity, and to so speak, totality is terminated, which I might but with justice have required Aristotle to have proved to me by necessary consequences, the rather in regard he was able to do it very plainly and speedily. *Received 9. iii. 54. (shrink)

A large body of research links testosterone and cortisol to male-male competition. Yet, little work has explored acute steroid hormone responses to coalitional, physical competition during middle childhood. Here, we investigate testosterone, dehydroepiandrosterone, androstenedione, and cortisol release among ethnically Chinese boys in Hong Kong, aged 8–11 years, during a soccer match and an intrasquad soccer scrimmage, with 63 participants competing in both treatments. The soccer match and intrasquad soccer scrimmage represented out-group and in-group treatments, respectively. Results revealed that testosterone (...) showed no measurable change. DHEA increased during both treatments in the majority of participants and the degree of change had no relation to independent variables or covariate measures. Most boys experienced androstenedione increases during match play, but no significant differences during the intrasquad soccer scrimmage competitions. The magnitude of change differed significantly between treatments and was positively associated with age. These latter findings suggest boys’ androstenedione responses may be sensitive to competitor type. For most subjects, cortisol significantly increased during match play, decreased during the intrasquad soccer scrimmage, and differed significantly between treatments, suggesting each treatment promoted a different psychological state among competitors. Cortisol/DHEA molar ratio decreased during the intrasquad scrimmage, suggestive of a more relaxed mental state. These data shed new light on potential proximate mechanisms associated with coalitional competition among prepubescent boys, with relevance to adrenarche and life history theory. (shrink)

Simplicius, writing in the sixth century, distinguishes physical science from astronomy on the ground that, whereas it is the function of the physicist to “inquire into the nature of the heavens and the stars, into their potentialities, their quality, their becoming and passing away,” astronomy has no competence in questions of this primary character. Its function is “to determine the order of the heavenly bodies, their figures, magnitudes, distances from the earth, sun and moon, their eclipses, conjunctions, the (...) quantitative and qualitative properties of their motions,” etc. For this purpose it requires arithmetic and geometry, but cares not how the heavenly motions be described, whether in terms of excentrics or epicycles, so long as the appearances can thus be accounted for. (shrink)

In On Local Motion in the Two New Sciences, Galileo distinguishes between ‘time’ and ‘quanto time’ to justify why a variation in speed has the same properties as an interval of time. In this essay, I trace the occurrences of the word quanto to define its role and specific meaning. The analysis shows that quanto is essential to Galileo’s mathematical study of infinitesimal quantities and that it is technically defined. In the light of this interpretation of the word quanto, Evangelista (...) Torricelli’s theory of indivisibles can be regarded as a natural development of Galileo’s insights about infinitesimal magnitudes, transformed into a geometrical method for calculating the area of unlimited plane figures. (shrink)

Tissues are shaped and patterned by mechanical and chemical processes. A key mechanical process is the positioning of the mitotic spindle, which determines the size and location of the daughter cells within the tissue. Recent force and position-fluctuation measurements indicate that pushing forces, mediated by the polymerization of astral microtubules against­ the cell cortex, maintain the mitotic spindle at the cell center in Caenorhabditis elegans embryos. The magnitude of the centering forces suggests that the physical limit on the accuracy (...) and precision of this centering mechanism is determined by the number of pushing microtubules rather than by thermally driven fluctuations. In cells that divide asymmetrically, anti-centering, pulling forces generated by cortically located dyneins, in conjunction with microtubule depolymerization, oppose the pushing forces to drive spindle displacements away from the center. Thus, a balance of centering pushing forces and anti-centering pulling forces localize the mitotic spindles within dividing C. elegans cells. We discuss microtubule-based mechanisms of the mitotic spindle positioning, a key mechanical process that shapes and patterns tissues. The magnitude of the centering forces indicates that the physical limit on the accuracy and precision of centering is set by the number of contributing microtubules rather than by thermally driven fluctuations. (shrink)

Tissues are shaped and patterned by mechanical and chemical processes. A key mechanical process is the positioning of the mitotic spindle, which determines the size and location of the daughter cells within the tissue. Recent force and position-fluctuation measurements indicate that pushing forces, mediated by the polymerization of astral microtubules against­ the cell cortex, maintain the mitotic spindle at the cell center in Caenorhabditis elegans embryos. The magnitude of the centering forces suggests that the physical limit on the accuracy (...) and precision of this centering mechanism is determined by the number of pushing microtubules rather than by thermally driven fluctuations. In cells that divide asymmetrically, anti-centering, pulling forces generated by cortically located dyneins, in conjunction with microtubule depolymerization, oppose the pushing forces to drive spindle displacements away from the center. Thus, a balance of centering pushing forces and anti-centering pulling forces localize the mitotic spindles within dividing C. elegans cells. We discuss microtubule-based mechanisms of the mitotic spindle positioning, a key mechanical process that shapes and patterns tissues. The magnitude of the centering forces indicates that the physical limit on the accuracy and precision of centering is set by the number of contributing microtubules rather than by thermally driven fluctuations. (shrink)

We consider the astrophysical and cosmological implications of the existence of a minimum density and mass due to the presence of the cosmological constant. If there is a minimum length in nature, then there is an absolute minimum mass corresponding to a hypothetical particle with radius of the order of the Planck length. On the other hand, quantum mechanical considerations suggest a different minimum mass. These particles associated with the dark energy can be interpreted as the “quanta” of the cosmological (...) constant. We study the possibility that these particles can form stable stellar-type configurations through gravitational condensation, and their Jeans and Chandrasekhar masses are estimated. From the requirement of the energetic stability of the minimum density configuration on a macroscopic scale one obtains a mass of the order of 1055 g, of the same order of magnitude as the mass of the universe. This mass can also be interpreted as the Jeans mass of the dark energy fluid. Furthermore we present a representation of the cosmological constant and of the total mass of the universe in terms of ‘classical’ fundamental constants. (shrink)

This paper proposes Gilbert Simondon’s ontogenetic theory of individuation as an overarching framework for multilevel semiosis. What renders this theory suitable for this role is the fact that it shares a significant part of its heritage with biosemiotics, which provides compatibility between them. Unlike many philosophers who have worked on individuation, Simondon envisages a general process of individuation that starts with a metastable preindividual. This process ultimately constitutes an axiomatisation of ontogenesis and manifests itself in three basic modes: physical, (...) vital and psycho-collective. In any of these modes a transductive operation is at work resolving the disparities of the preindividual whereby new structures emerge. Depending on the mode of individuation, the emerging structures can create new disparities that ask for further individuation. Simondon refers to such conversion of structure to operation and vice versa as allagmatics. He also extends his theory to scientific methodology establishing a healthy balance between reductionism and holism. His theory can be used to amend Peircean metaphysics to improve its compatibility with contemporary scientific discourse. (shrink)

The author has recently shown that a mathematical question regarding the fundamental constituents of hardrons cannot be resolved unless the classical axioms of nonfinite mathematics are revised in such a way as to produce a new theory of particle motion in continuous space-time. Under this new theory, the instantaneous position of a moving object has a magnitude that is increasing as the object's velocity. The purpose of this paper is to show that, quite apart from the question of Cantorian axiomatics, (...) the new theory of motion is more consistent with what physicists really believe than the traditional theory of motion. (shrink)

Visuomotor adaptation to novel environments can occur via non-physical means, such as observation. Observation does not appear to activate the same implicit learning processes as physical practice, rather it appears to be more strategic in nature. However, there is evidence that interspersing observational practice with physical practice can benefit performance and memory consolidation either through the combined benefits of separate processes or through a change in processes activated during observation trials. To test these ideas, we asked people (...) to practice aiming to targets with visually rotated cursor feedback or engage in a combined practice schedule comprising physical practice and observation of projected videos showing successful aiming. Ninety-three participants were randomly assigned to one of five groups: massed physical practice, distributed physical practice, or one of 3 types of combined practice: alternating blocks, or all observation before or after blocked physical practice. Participants received 100 practice trials. All groups improved in adaptation trials and showed savings across the 24-h retention interval relative to initial practice. There was some forgetting for all groups, but the magnitudes were larger for physical practice groups. The Act and Obs_During groups were most accurate in retention and did not differ, suggesting that observation can serve as a replacement for physical practice if supplied intermittently and offers advantages above just resting. However, after-effects associated with combined practice were smaller than those for physical practice control groups, suggesting that beneficial learning effects as a result of observation were not due to activation of implicit learning processes. Reaction time, variable error, and post-test rotation drawings supported this conclusion that adaptation for observation groups was promoted by explicit/strategic processes. (shrink)

In Ontology, quality determines beings. The quality-quantity bipolarity reveals that a conceptual logical comprehension that can include negation must be a dialectical logic. Quality is a precise characteristic of something capable of augmentation or diminution while remaining identical through differences or quantitative changes. Thus, quality and in opposition quantity are inextricably linked, giving definition to each other, so constituting a logical bipolarity. The theory is that a magnitude G is never separated from secondary qualities α and β, and therefore, a (...) measure depends on a concrete quality Gα or Gβ, that is to say on one pole of a logical bi-pole. However, the particular number, the unit, that expresses the result of a measure is the quality G alone. Examples drawn from physical and chemical experiments illustrate these ideas and elaborate the structure of the concept of opposition between the secondary qualities α and β of a magnitude G. (shrink)

This book offers a new interpretation of Hermann von Helmholtz's work on the epistemology of geometry. A detailed analysis of the philosophical arguments of Helmholtz's Erhaltung der Kraft shows that he took physical theories to be constrained by a regulative ideal. They must render nature "completely comprehensible", which implies that all physical magnitudes must be relations among empirically given phenomena. This conviction eventually forced Helmholtz to explain how geometry itself could be so construed. Hyder shows how Helmholtz (...) answered this question by drawing on the theory of magnitudes developed in his research on the colour-space. He argues against the dominant interpretation of Helmholtz's work by suggesting that for the latter, it is less the inductive character of geometry that makes it empirical, and rather the regulative requirement that the system of natural science be empirically closed. (shrink)

Warren's major contention is that judgments of subjective magnitude are not possible, and therefore subjects base such judgments upon physical correlates of the dimension in question. It would appear that Warren's theory will almost surely fail as a comprehensive model, even though it does provide a heuristic account of judgments of loudness and brightness. In order for the theory to succeed, Warren must specify a physical correlate for judgments ofeverysubjective attribute that has yielded orderly data with Stevens's scaling (...) procedures. (shrink)

Newton's use of mathematics in mechanics was justified by him from his neo-platonician conception of the physical world that was going along with his «absolute, true and mathematical concepts» such as space, time, motion, force, etc. But physics, afterwards, although it was based on newtonian dynamics, meant differently the legitimacy of being mathematized, and this difference can be seen already in the works of eighteenth century «Geometers» such as Euler, Clairaut and d'Alembert (and later on Lagrange, Laplace and others). (...) Despite their inheritance of Newton's achievements, they understood differently the meaning and use of mathematical quantities for physics, in a way that was more neutral to metaphysics. The continental reception and assimilation of Newton's Principia had indeed occured as its budding onto Leibniz' calculus and a cartesian conception of rationality (spread in particular by the malebranchist disciples of Leibniz). This new thought of the legitimacy of mathematization is clearly at variance with Descartes' identification of physics with geometry, but it nevertheless can be traced back to Descartes' conception of magnitudes, as it was developed and analyzed from the notion of dimension in his Regulæ ad directionem ingenii (in particular, rule 14). This idea can be followed afterwards with further philosophical or mathematical specifications through authors such as Kant, Riemann and others. This inquiry into the original thought of magnitudes, and of physical magnitudes conceived through mathematization, leads us to suggest an extension of meaning for the concept of physical magnitude that puts emphasis on its relational and structural aspects rather than restraining it to a simple «numerically valued» acception. Such a broadening would have immediate implications on our comprehension of «non classical» aspects of contemporary physics in the quantum area and in dynamical systems. (shrink)

From a metaphysical point of view, it is important clearly to see the ontological difference between what is studied in mathematics and mathematical physics, respectively. In this respect, the paper is concerned with the vectors of classical physics. Vectors have both a scalar magnitude and a direction, and it is argued that neither conventionalism nor wholesale anti‐conventionalism holds true of either of these components of classical physical vectors. A quantification of a physical dimension requires the discovery of ontological (...) order relations among all the determinate properties of this dimension, as well as a conventional definition that connects the number one and mathematical unit vectors to determinate spatiotemporal physical entities. One might say that mathematics deals with numbers and vectors, but mathematical physics with scalar quantities and vector quantities, respectively. The International System of Units distinguishes between basic and derived scalar quantities; if a similar distinction should be introduced for the vector quantities of classical physics, then duration in directed time ought to be chosen as the basic vector quantity. The metaphysics of physical vectors is intimately connected with the metaphysics of time. From a philosophical‐historical point of view, the paper revives W. E. Johnson's distinction ‘determinates‐determinables’ and Hans Reichenbach's notion of ‘coordinative definition’. (shrink)

[Comment, pp 759-780] Lockhead (1992) [Target Article] is undoubtedly right to attack so-called intensity scaling or the estimation of subjective magnitudes as an invalid perversion of tasks requiring quantitative judgments of aspects of objects, stuffs, and situations. He goes too far, however, in claiming that feature scales do not exist... ... A perceived physical pattern (sensory feature or channel) and the cognitive process that integrates it with its context are characterized by determining to which particular combination of specified (...) stimulus patterns the response is most sensitive. This is the principle of causal system analysis that is at the basis of all theory-building science. (shrink)

In the ten years following the publication of Galileo Galilei's Discorsi e dimostrazioni matematiche intorno a due nuove scienze , the new science of motion was intensely debated in Italy, France and northern Europe. Although Galileo's theories were interpreted and reworked in a variety of ways, it is possible to identify some crucial issues on which the attention of natural philosophers converged, namely the possibility of complementing Galileo's theory of natural acceleration with a physical explanation of gravity; the legitimacy (...) of Galileo's methods of proof and of his theory of the composition of continuous magnitudes; and the adequacy of the experimental evidence in favor of his theory.Through his published works and his correspondence, Marin Mersenne contributed in a significant way to each of these discussions. In the following, I shall provide a sketch of Mersenne's multiple engagement with the new science of motion, while trying to account for his growing skepticism concerning Galileo's law of free fall. Whereas in the 1630s, Mersenne still firmly believed in the validity of this law and tried to devise experimental and mathematical proofs in its favor, in the 1640s he developed serious doubts regarding the possibility of constructing an exact science of motion. As we shall see, Mersenne's evolving attitude sheds an interesting light on his views concerning the relation between physics and mathematics.---------------------------------------------------------------------------------------- ---------------------------------------------------------------------------------------------------- ---------------------------------------------------------------------------------------------------- ---------------------------------------------------------------------------------------------------- ---------------------------------------------------------------------------------------------------- ---------------------------------------------------------------------------------------------------- ----------------------------------------------------. (shrink)

This book presents a detailed analysis of three ancient models of spatial magnitude, time, and local motion. The Aristotelian model is presented as an application of the ancient, geometrically orthodox conception of extension to the physical world. The other two models, which represent departures from mathematical orthodoxy, are a "quantum" model of spatial magnitude, and a Stoic model, according to which limit entities such as points, edges, and surfaces do not exist in (physical) reality. The book is unique (...) in its discussion of these ancient models within the context of later philosophical, scientific, and mathematical developments. (shrink)

In Physics 4.11, Aristotle says that changes are continuous because magnitude is continuous. I suggest that this is not Aristotle’s considered view, and that in Generation and Corruption 2.10 Aristotle argues that this leads to the unacceptable consequence that alterations can occur discontinuously. Physics 6.4 was written to amend this theory, and to argue that changes are continuous because changing bodies are so. I also discuss the question of Aristotle’s consistency on the possibility of discontinuous alterations, such as freezing.

IN Physics VIII, 10, Aristotle seems to commit a serious mistake: just before concluding that the first mover required by all motion everywhere remains invariable and without parts or magnitude, Aristotle apparently locates this mover on the circumference of the cosmos.

We make physical efforts when we swim, carry shopping bags, push heavy doors, or cycle up hills. A growing concern among philosophers and scientists in related fields is the absence of a well-defined concept for physical efforts. This paper addresses this issue by presenting a force-based definition of physical efforts. In Sect. 1, we explore the shortcomings of existing definitions of effort. Section 2 introduces the force-based account of efforts according to which making an effort consists in (...) exerting a force so as to make an object move or stay at rest. Section 3 introduces three central distinctions stemming from the account: failed vs. successful efforts; resisted vs. unresisted efforts; and efforts vs. effortful actions. Section 4 presents a key objection, to the effect that the force-based theory cannot account for the difficulty of efforts: efforts usually feel difficult, but effort’s difficulty is not always a function of the magnitude of force(s) exerted. Section 5 argues that the most in-depth account of difficulty so far, that developed by Bradford ( 2015 ), cannot account for the difficulty of efforts. Sections 6 & 7 develop a novel account of effort’s difficulty. (shrink)

Over forty years after the foundations of the special theory of relativity had been securely laid, a heated debate, beginning in 1965, about the correct formulation of relativistic thermodynamics raged in the physics literature. Prior to 1965, relativistic thermodynamics was considered one of the most secure relativistic theories and one of the most simple and elegant examples of relativization in physics. It is, as its name apparently suggests, the result of the application of the special theory of relativity to thermodynamics. (...) The basic assumption is that the first and second laws of thermodynamics are Lorentz-invariant, and, as a result, a set of Lorentz transformations is derived from thermodynamic magnitudes, such as heat and temperature. (shrink)

For the physicalist, the mind-body problem is the problem of finding a place for the mind in a world that is fundamentally physical. What does “fundamentally physical” mean? I think any physicalist will accept at least the following two claims. First, the world contains nothing but bits of matter and aggregates of bits of matter. There are no Cartesian souls, or Hegelian spirits, or neo-vitalist entelechies—as the emergentist C. Lloyd Morgan put it, no “alien influx” into the natural (...) order. This ontological thesis is sometimes called “ontological physicalism”. Second, we have the supervenience thesis: physical facts determine all the facts, and the physical properties of a thing determine all its properties. At this point, then, the world looks like this: all the things that exist are physical things—either basic bits of matter or wholly made up of bits of matter. These physical things have properties. What properties? First, there are basic physical properties, like mass, size, shape, electric charge, and so on—properties and magnitudes in terms of which laws of physics are formulated. But some properties of complex physical systems, like biological organisms, seem prima facie nonphysical—at least, they are not among the properties investigated in physics or the physical sciences. Prominent among them are mental properties—beliefs, desires, sensations, emotions, and the rest. The supervenience thesis says that such properties are fixed by the physical properties of the systems that have them; once the physical properties of a system are fixed, that fixes all of its properties. And yet property dualists, or nonreductive physicalists, maintain that although certain non-physical properties are determined by physical properties, they are irreducible to, and remain distinct from, physical properties. Although thoughts and pains are determined by the biology, and ultimately physicochemistry, of an organism, they are not biological/physical properties themselves, and there exists a special autonomous science of psychology, or cognitive science, that is responsible for investigating them. (shrink)

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)

RESUMEN El artículo constituye una propuesta encaminada a dar respuesta a la necesidad social de la superación del profesor de Educación Física del Centro de Experiencia del Adulto Mayor. Se propone como objetivo fundamentar la estrategia para la superación del profesor de Educación Física dirigida a la rehabilitación acuática de los adultos mayores con limitaciones articulares, desde una visión de ciencia, tecnología y sociedad. Se reconoce la oportunidad que representa el empleo de las nuevas tecnologías como elemento que contribuye a (...) la mejora de la calidad de vida de las personas mayores. La magnitud del reto exige la puesta en acción de todos los resortes con los que la sociedad cuenta, para la atención al envejecimiento, mediante diversos programas, cuya significación contribuye a fortalecer la identidad nacional, y a elevar la cultura general integral de los profesores hacia los adultos mayores lo cual repercutirá en la formación de una conciencia social, política y cultural. ABSTRACT The article constitutes a proposal directed to give answer to the social need for the self-improvement of the teacher of Physical Education of the Center of Experience of the Elder Adult. It proposes as objective: to base the strategy for the self-improvement of the teacher of Physical Education directed to the aquatic rehabilitation of the elderly with articular limitations, from a vision of science, technology and society. It is recognized the opportunity that represents the employment of the new technologies as element that contributes to the progress of the quality of life of the elderly. The magnitude of the challenge demands the putting in action of all the springs with which the society is provided, for the attention to the aging, by means of diverse programs, which significance helps to strengthen the national identity, and to raise the integral general culture of the teachers towards the elderly which will reverberate in the formation of a social, political and cultural conscience. (shrink)