In Kant's Metaphysical Foundations of Natural Science are found a dynamist reduction of matter and an account of the communication of motion by impact. One would expect to find an analysis of the causal mechanism involved in the communication of motion between bodies given in terms of the fundamental dynamical nature of bodies. However, Kant's analysis, as given in the discussion of his third law of mechanics (an action-reaction law) is purely kinematical, invoking no causal mechanisms at all, let (...) alone dynamist mechanisms, in the explanation. It is argued that the reason for the non-incorporation of Kant's theory of matter in the account of impact is his overriding desire to provide a mathematical framework to explain the communication of motion, a provision which Kant felt to be impossible in the context of a metaphysical dynamism. (shrink)

Emotional inertia (i.e. the tendency for emotions to persist over time) is robustly associated with lower wellbeing. Yet, we know little about the mechanisms underlying this relationship. Good quality sleep and frequent use of adaptive cognitive emotion regulation (CER) strategies reduce the persistence of negative affect (NA) over time. However, whether sleep and adaptive CER strategy use work in concert to reduce NA inertia is unclear. In the current study, participants (N = 245) watched a series of film (...) clips and rated how each clip made them feel on negative and positive affective states. Emotion ratings were collected again after a short rest period to determine the persistence of clip-induced affect. Standardised questionnaires were used to index participants’ sleep quality and tendency to engage in adaptive CER strategies. Autoregressive models demonstrated that better sleep quality was associated with lower NA inertia (d = 0.25). This association also held when controlling for mean and variability of NA. Interestingly, the association between adaptive CER strategy use and NA inertia was observed irrespective of whether sleep quality was good, average, or poor (d = 0.13). These findings suggest that sleep and adaptive CER strategies hold independent rather than interdependent roles in maintaining emotional wellbeing. (shrink)

Making a history of the principle of inertia, as of any other principle or concept, is a complex but still possible operation. In this work it has been chosen to make a back story which seemed the most natural way for a reconstruction. On the way back, it has been decided to stop at the 6th century CE with the contribution of Ioannes Philoponus. The principle he stated, although very different from the modern one, is certainly associated with it. (...) Going back in time it is still possible and of course one could proceed to the origins of the homo sapiens who perhaps posed the problem of why a club thrown with his hand could go so far from him. But the similarities that one can find with the modern principle are very vague, too perhaps. Without going so far one could see an embryonic idea of the principle of inertia in the atomistic theory of Democritus in the 5th century BCE. The motion of atoms whirling with no apparent reason can suggest the idea that a body can also move with no reason. But the transition from the atom, a metaphysical being, to the body, an empirical being, is far from immediate. (shrink)

Suppose all of the particles in the universe should happen to come to rest at the same time, in positions so arranged that all of the forces on every particle balance to zero at that time. What would happen next? Or rather, what does Newtonian mechanics say will happen next? Preface Inertia and Stasis 2.1 Stating the Law of Inertia more precisely 2.2 The stasis scenario Indeterministic Examples 3.1 Abstract example 3.2 Second example Non-Lipschitz Forces and Determinism (...) Beyond the Stasis Scenario CiteULike Connotea Del.icio.us What's this? (shrink)

Recently a great deal of attention has been paid to conflicts of interest in medical research, and the Institute of Medicine has called for more research into this important area. One research question that has not received sufficient attention concerns the mechanisms of action by which conflicts of interest can result in biased and/or flawed research. What discretion do conflicted researchers have to sway the results one way or the other? We address this issue from the perspective of selective (...) class='Hi'>inertia, or an unnatural selection of research methods based on which are most likely to establish the preferred conclusions, rather than on which are most valid. In many cases it is abundantly clear that a method that is not being used in practice is superior to the one that is being used in practice, at least from the perspective of validity, and that it is only inertia, as opposed to any serious suggestion that the incumbent method is superior, that keeps the inferior procedure in use, to the exclusion of the superior one. By focusing on these flawed research methods we can go beyond statements of potential harm from real conflicts of interest, and can more directly assess actual harm. (shrink)

The conceptual excitement of science often seems geared only to work in contemporary physics. Thus, philosophers regularly discuss current cosmology, relativity, or the foundations of microphysics. In these areas one's philosophy is stretched and strained far beyond what our ancestors might have anticipated. Historians of science have also focused attention on past events by remarking their analogies and similarities with perplexities in physics today. But there are statements, hypotheses and theories of the past which are rewarding in themselves, without having (...) to be referred to the agonies which now confound quantum theory and cosmology. Specifically, the First Law of Motion--the "Law of Inertia"--this has everything a logician of science could look for. Understanding the complexities and perplexities of this fundamental mechanical statement is in itself to gain insight into what theoretical physics in general really is. With this in view a study of the law is undertaken. (shrink)

The contention discussed here, is that one might be able to get around the puzzle contained in the results of Kim and Chan:— That a quantity of inertial mass is effectively lost, (a so called non-classical-rotational inertia NCRI,) but that being a “supersolid” there is no path for the normal fraction to slip past the 1 – 2 % supersolid fraction, which (it is supposed) remains stationary within the annulus. As a solution we argue that the effective loss of (...) inertial mass might be a real loss of inertial mass– that it might be intrinsic to a supersolid or superfluid “pool,” (a portion which has gone supersolid or superfluid.) In this way the puzzle would be resolved because the normal part and the supersolid part do not need to slip past each other in order to produce the experimental results. (shrink)

The ArgumentOne of the earliest arguments for Copernicanism was a widely accepted fact: that on a horizontal plane a body subject to no external resistance can be set in motion by the smallest of all possible forces. This fact was contrary to Aristotelian physics; but it was a physical argument (by abduction) for the possibility of the Copernican world system. For it would be explained if that system was true or at least possible.Galileo argued: only nonviolent motions can be caused (...) by the smallest of all possible forces; hence resistance-free horizontal motions are nonviolent; this confirms Copernicanism insofar as it designates the rotations of celestial spheres (being resistance-free horizontal motions) as nonviolent.Galileo's argument was compatible with (and supportive of) the specific Copernican version of impetus mechanics; but it was also compatible with a (somewhat qualified) principle of inertia. Thus it promoted decisively the transition from impetus mechanics to classical inertial mechanics. (shrink)

This paper reviews the origin of inertia according to Mach's principle and Weber's law of gravitation. The resulting theory is based on simultaneous nonlocal gravitational interactions between particles in the solar system and others in the remote universe beyond the Milky Way galaxy. It explains the precession of the perihelion of Mercury. A most important implication of the Mach-Weber theory of the force of inertia is the necessity for a large amount of uniformly distributed matter in the galactic (...) universe. This matter could be the source of the cosmic background radiation. Nonlocal inertia forces are compatible with a static universe and also with an expanding universe but the latter would demand slow changes in the mass of particles and the gravitational constant. (shrink)

Spinoza (1632-1677) writes in the fourth proposition of the third part of his masterpiece, the Ethics (1677), the bold statement that self-destruction is impossible. This view seems to be very hard to understand given the fact that in our western world we have recently been confronted with an increasing number of suicides, all of which are - per definition – ―actions of killing oneself deliberately‖. Firstly, this article aims at showing, based on the last chapter of the first part of (...) the Cogitata metaphysica (1661), that Spinoza might have applied the mechanical analogy of a body in motion in his views on life. This interpretation allows to resolve the paradox of suicide in Spinoza. Secondly, this paper gives a new interpretation of one of the three categories of suicide (the ―Seneca category‖), which the Dutch philosopher distinguishes in E4p20s, making a link with his definition 39 of timor. (shrink)

Newton’s First Law of Motion is typically understood to govern only the motion of force-free bodies. This paper argues on textual and conceptual grounds that it is in fact a stronger, more general principle. The First Law limits the extent to which any body can change its state of motion –– even if that body is subject to impressed forces. The misunderstanding can be traced back to an error in the first English translation of Newton’s Principia, which was published a (...) few years after Newton’s death. (shrink)

The history of mechanics has been extensively investigated in a number of historical works. The full story from the Greeks and medievals through the Scientific Revolution to the modern era is long and complex. But it is also incomplete. Studies to date have been admirably thorough in putting empirical discoveries into proper perspective and in making clear the great importance of mathematical innovations. But there has been surprisingly little regard for the role of thought experiments in the development of (...) mechanics. We attempt to rectify this, at least in part. After a brief account of Greek ideas of space and motion, we focus on late medieval and early modern physics, especially the development of inertial motion. In particular, we examine the thought experiments of Buridan, Oresme, and Galileo, which did so much to undermine Aristotle’s account of motion and lead the way to the modern concept of inertia. (shrink)

The ArgumentIn this paper it will be shown that Newton'sPrincipiagives an explication of and an argument for the first Law of Motion, that seems to be outside the scope of today's philosophy of science but was familiar to seventeenth-century commentators: The foundation of classical mechanics is possible only by recurrence to results of a successful technical practice. Laws of classical mechanics gain their meaning as well as their claims to validity only when considered as statements about artifacts whose (...) production belongs to the shared know-how of a scientific community. (shrink)

This book provides an introduction to Newtonian and relativistic mechanics. Unlike other books on the topic, which generally take a 'top-down' approach, it follows a novel system to show how the concepts of the 'science of motion' evolved through a veritable jungle of intermediate ideas and concepts. Starting with Aristotelian philosophy, the text gradually unravels how the human mind slowly progressed towards the fundamental ideas of inertia physics. The concepts that now appear so obvious to even a high (...) school student took great intellectuals more than a millennium to clarify. The book explores the evolution of these concepts through the history of science. After a comprehensive overview of the discovery of dynamics, it explores fundamental issues of the properties of space and time and their relation with the laws of motion. It also explores the concepts of spatio-temporal locality and fields, and offers a philosophical discussion of relative motion versus absolute motion, as well as the concept of an absolute space. Furthermore, it presents Galilean transformation and the principle of relativity, inadequacy of Galilean relativity and emergence of the spatial theory of relativity with an emphasis on physical understanding, as well as the debate over relative motion versus absolute motion and Mach's principle followed by the principle of equivalence. The natural follow-on to this section is the physical foundations of general theory of relativity. Lastly, the book ends with some new issues and possibilities regarding further modifications of the laws of motion leading to the solution of a number of fundamental issues closely connected with the characteristics of the cosmos. It is a valuable resource for undergraduate students of physics, engineering, mathematics, and related disciplines. It is also suitable for interdisciplinary coursework and introductory reading outside the classroom. (shrink)

The question of the cause of inertial reaction forces and the validity of “Mach's principle” are investigated. A recent claim that the cause of inertial reaction forces can be attributed to an interaction of the electrical charge of elementary particles with the hypothetical quantum mechanical “zero-point” fluctuation electromagnetic field is shown to be untenable. It fails to correspond to reality because the coupling of electric charge to the electromagnetic field cannot be made to mimic plausibly the universal coupling of gravity (...) and inertia to the stress-energy-momentum (i.e., matter) tensor. The gravitational explanation of the origin of inertial forces is then briefly laid out, and various important features of it explored in the last half-century are addressed. (shrink)

The present comment on Solari and Natiello’s paper values their constructivist approach to Newtonian Mechanics. My critical point concerns only the link between the concept of force and phenomena. It will be shown that the idealised form of the law of inertia created by the authors avoids criticism of the law and that this law leads to the concept of force as the cause of acceleration. This concept appears in the authors’ reconstruction as an assumption. They add that (...) this assumption must be contrasted with experiments. Following this, I address an experiment, in which the force that is taken as the cause of acceleration, is not present in the phenomenon at stake. As it thus does not satisfy the property of locality, which any cause has to, force cannot be a cause. (shrink)

Although Fuzzy logic and Fuzzy Mathematics is a widespread subject and there is a vast literature about it, yet the use of Fuzzy issues like Fuzzy sets and Fuzzy numbers was relatively rare in time concept. This could be seen in the Fuzzy time series. In addition, some attempts are done in fuzzing Turing Machines but seemingly there is no need to fuzzy time. Throughout this article, we try to change this picture and show why it is helpful to consider (...) the instants of time as Fuzzy numbers. In physics, though there are revolutionary ideas on the time concept like B theories in contrast to A theory also about central concepts like space, momentum… it is a long time that these concepts are changed, but time is considered classically in all well-known and established physics theories. Seemingly, we stick to the classical time concept in all fields of science and we have a vast inertia to change it. Our goal in this article is to provide some bases why it is rational and reasonable to change and modify this picture. Here, the central point is the modified version of “Unexpected Hanging” paradox as it is described in "Is classical Mathematics appropriate for theory of Computation".This modified version leads us to a contradiction and based on that it is presented there why some problems in Theory of Computation are not solved yet. To resolve the difficulties arising there, we have two choices. Either “choosing” a new type of Logic like “Para-consistent Logic” to tolerate contradiction or changing and improving the time concept and consequently to modify the “Turing Computational Model”. Throughout this paper, we select the second way for benefiting from saving some aspects of Classical Logic. In chapter 2, by applying quantum Mechanics and Schrodinger equation we compute the associated fuzzy number to time. (shrink)

The text is a continuation of the article of the same name published in the previous issue of Philosophical Alternatives. The philosophical interpretations of the Kochen- Specker theorem (1967) are considered. Einstein's principle regarding the,consubstantiality of inertia and gravity" (1918) allows of a parallel between descriptions of a physical micro-entity in relation to the macro-apparatus on the one hand, and of physical macro-entities in relation to the astronomical mega-entities on the other. The Bohmian interpretation ( 1952) of quantum (...) class='Hi'>mechanics proposes that all quantum systems be interpreted as dissipative ones and that the theorem be thus derstood. The conclusion is that the continual representation, by force or (gravitational) field between parts interacting by means of it, of a system is equivalent to their mutual entanglement if representation is discrete. Gravity (force field) and entanglement are two different, correspondingly continual and discrete, images of a single common essence. General relativity can be interpreted as a superluminal generalization of special relativity. The postulate exists of an alleged obligatory difference between a model and reality in science and philosophy. It can also be deduced by interpreting a corollary of the heorem. On the other hand, quantum mechanics, on the basis of this theorem and of V on Neumann's (1932), introduces the option that a model be entirely identified as the modeled reality and, therefore, that absolutely reality be recognized: this is a non-standard hypothesis in the epistemology of science. Thus, the true reality begins to be understood mathematically, i.e. in a Pythagorean manner, for its identification with its mathematical model. A few linked problems are highlighted: the role of the axiom of choice forcorrectly interpreting the theorem; whether the theorem can be considered an axiom; whether the theorem can be considered equivalent to the negation of the axiom. (shrink)

Non-commuting quantities and hidden parameters – Wave-corpuscular dualism and hidden parameters – Local or nonlocal hidden parameters – Phase space in quantum mechanics – Weyl, Wigner, and Moyal – Von Neumann’s theorem about the absence of hidden parameters in quantum mechanics and Hermann – Bell’s objection – Quantum-mechanical and mathematical incommeasurability – Kochen – Specker’s idea about their equivalence – The notion of partial algebra – Embeddability of a qubit into a bit – Quantum computer is not Turing (...) machine – Is continuality universal? – Diffeomorphism and velocity – Einstein’s general principle of relativity – „Mach’s principle“ – The Skolemian relativity of the discrete and the continuous – The counterexample in § 6 of their paper – About the classical tautology which is untrue being replaced by the statements about commeasurable quantum-mechanical quantities – Logical hidden parameters – The undecidability of the hypothesis about hidden parameters – Wigner’s work and и Weyl’s previous one – Lie groups, representations, and psi-function – From a qualitative to a quantitative expression of relativity − psi-function, or the discrete by the random – Bartlett’s approach − psi-function as the characteristic function of random quantity – Discrete and/ or continual description – Quantity and its “digitalized projection“ – The idea of „velocity−probability“ – The notion of probability and the light speed postulate – Generalized probability and its physical interpretation – A quantum description of macro-world – The period of the as-sociated de Broglie wave and the length of now – Causality equivalently replaced by chance – The philosophy of quantum information and religion – Einstein’s thesis about “the consubstantiality of inertia ant weight“ – Again about the interpretation of complex velocity – The speed of time – Newton’s law of inertia and Lagrange’s formulation of mechanics – Force and effect – The theory of tachyons and general relativity – Riesz’s representation theorem – The notion of covariant world line – Encoding a world line by psi-function – Spacetime and qubit − psi-function by qubits – About the physical interpretation of both the complex axes of a qubit – The interpretation of the self-adjoint operators components – The world line of an arbitrary quantity – The invariance of the physical laws towards quantum object and apparatus – Hilbert space and that of Minkowski – The relationship between the coefficients of -function and the qubits – World line = psi-function + self-adjoint operator – Reality and description – Does a „curved“ Hilbert space exist? – The axiom of choice, or when is possible a flattening of Hilbert space? – But why not to flatten also pseudo-Riemannian space? – The commutator of conjugate quantities – Relative mass – The strokes of self-movement and its philosophical interpretation – The self-perfection of the universe – The generalization of quantity in quantum physics – An analogy of the Feynman formalism – Feynman and many-world interpretation – The psi-function of various objects – Countable and uncountable basis – Generalized continuum and arithmetization – Field and entanglement – Function as coding – The idea of „curved“ Descartes product – The environment of a function – Another view to the notion of velocity-probability – Reality and description – Hilbert space as a model both of object and description – The notion of holistic logic – Physical quantity as the information about it – Cross-temporal correlations – The forecasting of future – Description in separable and inseparable Hilbert space – „Forces“ or „miracles“ – Velocity or time – The notion of non-finite set – Dasein or Dazeit – The trajectory of the whole – Ontological and onto-theological difference – An analogy of the Feynman and many-world interpretation − psi-function as physical quantity – Things in the world and instances in time – The generation of the physi-cal by mathematical – The generalized notion of observer – Subjective or objective probability – Energy as the change of probability per the unite of time – The generalized principle of least action from a new view-point – The exception of two dimensions and Fermat’s last theorem. (shrink)

The physical origin of inertial forces is shown to be a consequence of the local interaction of Dirac's real covariant ether model(1) with accelerated microobjects, considered as real extended particlelike solitons, piloted by surrounding subluminal real wave fields packets.(2) Their explicit form results from the application of local inertial Lorentz transformations to the particles submitted to noninertial velocitydependent accelerations, i.e., constitute a natural extension of Lorentz's interpretation of restricted relativity.(3) Indeed Dirac's real physical covariant ether model implies inertial forces if (...) one considers the real accelerated noninertial motions of general relativity, defined within the absolute local inertial frames associated with the observed local isotropy of the 2.7° K background microwave radiation.(4) Inertia thus appears as a necessary consequence of the real particle motions described by the E.d.B.B. formalism of quantum mechanics. (shrink)

The persistent pervasiveness of inappropriately small studies in empirical fields is regu-larly deplored in scientific discussions. Consensually, taken individually, higher-powered studies are more likely to be truth-conducive. However, are they also beneficial for the wider performance of truth-seeking communities? We study the impact of sample sizes on collective exploration dynamics under ordinary conditions of resource limita-tion. We find that large collaborative studies, because they decrease diversity, can have detrimental effects in certain realistic circumstances that we characterize precisely. We show how (...) limited inertia mechanisms may partially solve this pooling dilemma and dis-cuss our findings briefly in terms of editorial policies. (shrink)

_ Source: _Volume 29, Issue 1, pp 9 - 38 Hobbes tried to develop a strict version of the mechanical philosophy, in which all physical phenomena were explained only in terms of bodies in motion, and the only forces allowed were forces of collision or impact. This ambition puts Hobbes into a select group of original thinkers, alongside Galileo, Isaac Beeckman, and Descartes. No other early modern thinkers developed a strict version of the mechanical philosophy. Natural philosophies relying solely on (...) bodies in motion require a concept of inertial motion. Beeckman and Descartes assumed rectilinear motions were rectilinear, but Galileo adopted a theory which has been referred to as circular inertia. Hobbes’s natural philosophy depended to a large extent on what he called “simple circular motions.” In this paper, I argue that Hobbes’s simple circular motions derived from Galileo’s belief in circular inertia. The paper opens with a section outlining Galileo’s concept, the following section shows how Hobbes’s physics depended upon circular motions, which are held to continue indefinitely. A third section shows the difficulty Hobbes had in maintaining a strictly mechanistic philosophy, and the conclusion offers some speculations as to why Galileo’s circular inertia was never entertained as a serious rival to rectilinear inertia, except by Hobbes. (shrink)

I explain and assess here Huygens’ concept of relative motion. I show that it allows him to ground most of the Law of Inertia, and also to explain rotation. Thereby his concept obviates the need for Newton’s absolute space. Thus his account is a powerful foundation for mechanics, though not without some tension.

The foundations of Statistical Mechanics can be recovered almost in their entirety from the principle of maximum entropy. In this work we show that its non-equilibrium generalization, the principle of maximum caliber (Jaynes, Phys Rev 106:620–630, 1957), when applied to the unknown trajectory followed by a particle, leads to Newton’s second law under two quite intuitive assumptions (both the expected square displacement in one step and the spatial probability distribution of the particle are known at all times). Our derivation (...) explicitly highlights the role of mass as an emergent measure of the fluctuations in velocity (inertia) and the origin of potential energy as a manifestation of spatial correlations. According to our findings, the application of Newton’s equations is not limited to mechanical systems, and therefore could be used in modelling ecological, financial and biological systems, among others. (shrink)

Die Wissenschaften entstehen und entfalten sich innerhalb von historischen Kontexten. Dabei vollzieht sich die Kontextualisierung einzelner Wissenschaftsdisziplinen durch die historisch-kontextuale Ausweitung und Abgrenzung gegenuber anderen Wissenschaftsdisziplinen. Die vorliegende Abhandlung ist ein Versuch, in der Entwicklungsgeschichte einiger fruhneuzeitlicher Wissenschaftsdisziplinen eine zweifache Wurzel der Kontextualitat festzustellen: Einen internen bzw. einen der Wissenschaftsdisziplin innewohnenden Prozess der Kontextualisierung kann man aus ihrer Entwicklungsgeschichte herleiten. Diesen gilt es von einem externen, durch aussere Faktoren und neue Erkenntnisse auf anderen Feldern bedingten Prozess der Kontextualisierung abzugrenzen. Aus (...) diesem kontextualen Wechselspiel heraus lassen sich etliche Paradigmenwechsel in der fruhen Neuzeit besser verstehen. Die Untersuchung geht von Fallstudien aus, wie sie in mechanischen und naturwissenschaftlichen Schriften von Descartes, Kepler, Galilei, Newton, Hooke und Boyle zu finden sind. (shrink)

By briefly reviewing three well-known scientific revolutions in fundamental physics (the discovery of inertia, of special relativity and of general relativity), I claim that problems that were supposed to be crying for a dynamical explanation in the old paradigm ended up receiving a structural explanation in the new one. This claim is meant to give more substance to Kuhn’s view that revolutions are accompanied by a shift in what needs to be explained, while suggesting at the same time the (...) existence of a pattern that is common to all of the discussed case-studies. It remains to be seen whether also quantum mechanics, in particular entanglement, conforms to this pattern. (shrink)

In the context of a particular framework of emergent quantum mechanics, it is argued the emergent origin of the inertial mass of a physical system. Two main consequences of the theory are discussed: an emergent interpretation of the law of inertia and a derivation of the energy-time uncertainty relation.

Although Fuzzy logic and Fuzzy Mathematics is a widespread subject and there is a vast literature about it, yet the use of Fuzzy issues like Fuzzy sets and Fuzzy numbers was relatively rare in time concept. This could be seen in the Fuzzy time series. In addition, some attempts are done in fuzzing Turing Machines but seemingly there is no need to fuzzy time. Throughout this article, we try to change this picture and show why it is helpful to consider (...) the instants of time as Fuzzy numbers. In physics, though there are revolutionary ideas on the time concept like B theories in contrast to A theory also about central concepts like space, momentum… it is a long time that these concepts are changed, but time is considered classically in all well-known and established physics theories. Seemingly, we stick to the classical time concept in all fields of science and we have a vast inertia to change it. Our goal in this article is to provide some bases why it is rational and reasonable to change and modify this picture. Here, the central point is the modified version of “Unexpected Hanging” paradox as it is described in "Is classical Mathematics appropriate for theory of Computation".This modified version leads us to a contradiction and based on that it is presented there why some problems in Theory of Computation are not solved yet. To resolve the difficulties arising there, we have two choices. Either “choosing” a new type of Logic like “Para-consistent Logic” to tolerate contradiction or changing and improving the time concept and consequently to modify the “Turing Computational Model”. Throughout this paper, we select the second way for benefiting from saving some aspects of Classical Logic. In chapter 2, by applying quantum Mechanics and Schrodinger equation we compute the associated fuzzy number to time. These, provides a new interpretation of Quantum Mechanics.More exactly what we see here is "Particle-Fuzzy time" interpretation of quantum Mechanics, in contrast to some other interpretations of Quantum Mechanics like " Wave-Particle" interpretation. At the end, we propound a question about the possible solution of a paradox in Physics, the contradiction between General Relativity and Quantum Mechanics. (shrink)

The force of inertia. A Sartrean perspective on resistance Although Sartre’s philosophy of freedom is often considered as a philosophy of resistance, rooted in the experience of the Second World War, Sartre did not formulate a full-blown theory of resistance. However, his Critique of Dialectical Reason contains a wealth of material that allows a rethinking of the notion of resistance. In much of the literature, this notion is inflated so as to include action, opposition, struggle, exodus and a range (...) of other phenomena. In order to acquire a sharper sense of the specific meaning of resistance, this paper argues, this notion has to be reconnected with its origins in mechanical physics. Sartre’s key concept of inertia provides a starting point for such a theoretical strategy. Although human beings are fundamentally free, they can live their relation to others and to themselves as if they were inert things. From a Sartrean perspective, resistance means making oneself inert in order to be able to persevere and to hold the line in the face of a threat. Resistance occurs at both sides of a struggle, and can take different, asymmetrical forms. The two fundamental modes of sociality Sartre distinguishes, namely the group and the series, offer different types of resistance to opponents. (shrink)

In relativistic mechanics the energy-momentum of a free point mass moving without acceleration forms a four-vector. Einstein’s celebrated energy-mass relation E=mc 2 is commonly derived from that fact. By contrast, in Newtonian mechanics the mass is introduced for an accelerated motion as a measure of inertia. In this paper we rigorously derive the relativistic point mechanics and Einstein’s energy-mass relation using our recently introduced neoclassical field theory where a charge is not a point but a distribution. (...) We show that both the approaches to the definition of mass are complementary within the framework of our field theory. This theory also predicts a small difference between the electron rest mass relevant to the Penning trap experiments and its mass relevant to spectroscopic measurements. (shrink)

We have revised the problem of the motion of a heavy symmetric top. When formulating equations of the Lagrange top with the diagonal inertia tensor, the potential energy has more complicated form as compared with that assumed in the literature on dynamics of a rotating body. This implies the corresponding improvements in equations of motion. Using the Liouville’s theorem, we solve the improved equations in quadratures and present the explicit expressions for the resulting elliptic integrals.

Drift is to evolution as inertia is to Newtonian mechanics. Both are the "natural" or default states of the systems to which they apply. Both are governed by zero-force laws. The zero-force law in biology is stated here for the first time.

Darwinists classify biological traits either by their ancestry (homology) or by their adaptive role. Only the latter can provide traditional natural kinds, but only the former is practicable. Process structuralists exploit this embarrassment to argue for non-Darwinian classifications in terms of underlying developmental mechanisms. This new taxonomy will also explain phylogenetic inertia and developmental constraint. I argue that Darwinian homologies are natural kinds despite having historical essences and being spatio-temporally restricted. Furthermore, process structuralist explanations of biological form require an (...) unwarranted assumption about the space of developmental possibility. (shrink)

Originally published in 1949. This meticulously researched book presents a comprehensive outline and discussion of Aristotle’s mathematics with the author's translations of the greek. To Aristotle, mathematics was one of the three theoretical sciences, the others being theology and the philosophy of nature. Arranged thematically, this book considers his thinking in relation to the other sciences and looks into such specifics as squaring of the circle, syllogism, parallels, incommensurability of the diagonal, angles, universal proof, gnomons, infinity, agelessness of the universe, (...) surface of water, meteorology, metaphysics and mechanics such as levers, rudders, wedges, wheels and inertia. The last few short chapters address ‘problems’ that Aristotle posed but couldn’t answer, related ethics issues and a summary of some short treatises that only briefly touch on mathematics. (shrink)

Two exam thesauri De corpore universim by Josip Franjo Domin, composed of 25 theses in the field of “experimental physics”, the last published in Györ in 1785 and the first published in Pecs in 1786, saw light soon after the printing of his treatise Dissertatio physica de aeris factitii genesi, natura, et utilitatibus, and expounded the core of natural philosophy in the form of a doctrine of the structure of matter, fundamental forces in nature, and general properties of physical bodies, (...) then mechanics and doctrine of gravitation, along with the basis of chemistry and astronomy. Being published in April 1785 and April 1786, they represent a turning­point in Domin’s views in natural philosophy. In the 1785 thesaurus, Domin for the first time mentions Bošković by name, and also for the first time proposes a thesis on chemistry as science. The first mention of Bošković’s surname corresponds with Domin’s transformation from a strict Boscovichian, as confirmed in the the sauri from 1778 to 1784, into a natural philosopher who comes forth with his own insights. The thesis on chemistry as “a science subordinated to experimental physics” is the fruit of Domin’s compendium on the chemistry of gases, yet, at the same time, is a programmatic step forward: Domin refers to “the simplest principles” of the bodies as molecules. In the 1786 thesaurus Domin introduces the thesis on inertia, touchstone of the then discussions in the field of natural philosophy. Therefore, “experimental physics” suggested in the thesauri title does not imply that Domin excluded natural philosophy from his considerations. Quite the reverse: as a “professor of theoretical and experimental physics, mechanics, and agriculture”, Domin is challenged by the legacy of the natural philosophy of the epoch, notably by Newton, Bošković and two Boscovichians – Leopold Biwald in Graz and Ivan Krstitelj Horvath in Tyrnau, Buda and Pest. Thus Domin either tends to mould his views in accordance with Bošković’s natural philosophy, or departs from Bošković or Boscovichians significantly, or shifts towards the natural philosophy of Newton. (shrink)

Non-human animals are as a matter of routine used as means to human ends. They are killed for food, employed for labour or sport, and experimented on in the pursuit of human health, knowledge, comfort and beauty. Lip-service is paid to the obligation to cause no unnecessary suffering, but human necessity is interpreted so generously that this is a negligible constraint. The dominant traditions of Western thought, religious and secular, have provided legitimation of the low or non-existent moral status of (...) beasts. The rival tradition, which includes the Neo-Platonists, Plutarch and Montaigne, is eccentric and archaic. But the teleologies and hierarchies of orthodoxy are equally incredible now and owe their greater respectability and influence to the inertia of custom. Disregard for beasts is supported partly by the vestigial and unowned belief that they are intended for our use, partly by a more recent piece of lore which is not only thought to be compatible with, but is sometimes held to be integral to, an enlightened scientific outlook, namely that beasts are mere complex stimulus—response mechanisms. The latter is a vexatious obstacle to progress but despite that the state of scientific and philosophical knowledge is now enormously more propitious for a re-appraisal of the moral status of beasts. Two moral philosophers, Peter Singer and Stephen Clark, have recently published books in which such a re-appraisal is attempted. Here I try to compare and assess some of the main features of their very different approaches. (shrink)

In this excerpt, Vladimir S. Bibler attempts to demonstrate how the initial concepts of Newtonian mechanics are fraught with contradictions. The first is related to the law of inertia, which states...

Over the last few years a resurgence of Newtonian studies has led to a deeper understanding of several aspects of his Philosophiae naturalis principia mathematica. Besides the new translation of Newton's masterpiece, these contributions touched on his mathematical style, investigative method, experimental endeavors, and conceptual systematization of key notions in mechanics and the science of motion (I. Newton, The `Principia'. A new translation by I. Bernard Cohen and Anne Whitman assisted by Julia Budenz (Berkeley: University of California Press, 1999), (...) hereafter New translation. Readers can find a useful bibliography on Newton in I.B. Cohen and G. Smith, eds, The Cambridge Companion to Newton (Cambridge: Cambridge University Press, 2002, hereafter Cambridge Companion), 465–80.). With regard to the last topic, recent works have identified two notions where Newton's choices look unclear and scholarly opinion is divided. These notions are materiae vis insita or vis inertiae, namely the inherent force of matter or force of inertia, and vis centrifuga or centrifugal force. It is my conviction that the two notions became inter-related in Newton's thought starting from the time of composition of the Principia and that a new look at them will simultaneously clarify matters about both. Newton's beliefs about the nature of centrifugal force did not affect his calculations of planetary and cometary orbits in the Principia, but they are none the less of considerable intellectual interest.After a brief introduction on Huygens and the early Newton, Sect. 2 focuses on Newton's views in the Principia and its preliminary manuscripts. Section 3 presents a summarized account of Leibniz's views, which are necessary for understanding Newton's criticism of them. This is the subject of Sect. 4, where we find his views most fully spelled out. (shrink)

Empirical and theoretical evidence show that the astrophysical problem of dark matter might be solved by a theory of Einstein-Mayer type. In this theory, up to global Lorentz rotations, the reference system is determined by the motion of cosmic matter. Thus, one is led to a “Riemannian space with teleparallelism” realizing a geometric version of the Mach-Einstein doctrine. The field equations of this gravitational theory contain hidden matter terms, where the existence of hidden matter is inferred solely from its gravitational (...) effects. It is argued that, in the nonrelativistic mechanical approximation, they provide an inertia-free mechanics, where the inertial mass of a body is induced by the gravitational action of the comic masses. Interpreted from the Newtonian point of view, this mechanics shows that the effective gravitational mass of astrophysical objects depends on r such that one expects the existence of dark matter. (shrink)

A version of relationism that takes spatiotemporal structures—spatial geometry and a standard of inertia—to supervene on the history of relations between bodies is described and defended. The account is used to explain how the relationist should construe models of Newtonian mechanics in which absolute acceleration manifestly does not supervene on the relations; Ptolemaic and Copernican models for example. The account introduces a new way in which a Lewis-style ‘best system’ might capture regularities in a broadly Humean world; a (...) defence is given against a charge of indeterminism that applies to any such approach to laws. (shrink)

Euler’s ‘On the force of percussion and its true measure’, published in 1746, shows that not only had the issue of vis viva not been settled, but that the concepts of inertia and even force were still very much up for grabs. This paper details Euler’s treatment of the vis viva problem. Within those details we find differences between his physics and that of Newton, in particular the rejection of empty space and reduction of all forces to the operation (...) of inertia through contact. One can further see how Euler’s philosophy of science embraced explanation through mechanisms and equilibrium conditions.Keywords: Leonhard Euler; Vis viva; Equlibrium; Mechanics; Eighteenth century. (shrink)

This article explores some implications of the increasing reliance on clinical trials in contemporary health care, particularly health care payers’ efforts to use them in the so-called fourth hurdle decisions. How do these agencies manage medical uncertainty given the desire to produce clear guidelines for clinicians? Their solutions take account of trials in at least two ways, reflecting broader debates about the meaning of these medical experiments. Trials can be read as either ‘‘proofs of protocol’’—straightforward guides to action with individual (...) drugs in specific populations—or ‘‘proofs of principle’’— where extrapolation is made possible through an appeal to underlying biological mechanisms. These contrasting readings of trials are illustrated with reference to guidelines on heart disease prevention/cholesterol reduction using statins among the elderly in North America and the United Kingdom. Uncertainty in these cases does not lead to inertia but solutions use different fixed points to aid navigation, including both physiological principles and moral values. (shrink)

Einstein regarded as one of the triumphs of his 1915 theory of gravity - the general theory of relativity - that it vindicated the action-reaction principle, while Newtonian mechanics as well as his 1905 special theory of relativity supposedly violated it. In this paper we examine why Einstein came to emphasise this position several years after the development of general relativity. Several key considerations are relevant to the story: the connection Einstein originally saw between Mach's analysis of inertia (...) and both the equivalence principle and the principle of general covariance, the waning of Mach's influence owing to de Sitter's 1917 results, and Einstein's detailed correspondence with Moritz Schlick in 1920. (shrink)

Kant’s natural philosophy in the Metaphysical Foundations of Natural Science is heavily influenced by Newton’s Principia. However, a closer look makes it clear that Kant’s project has also been influenced by other thinkers. One of these thinkers is Leonard Euler. His work was of great influence for Kant, not only with regards to his view on space and inertia but on the relation between metaphysics and natural science in general. Even though Euler’s Physics built on Newton’s work, he differs (...) from him in fundamental regards, leading to crucial developments inside classical mechanics. Here I will discuss the influence of Euler on the work of Kant and focus on Euler’s view on the two entangled problems of inertia and space. It will become clear that both Euler and Kant went through a development concerning these fundamental notions. After shortly highlighting the differences between Kant and Newton, I shall go through the development of important parts of Euler’s natural philosophy concerning the above mentioned themes. I intend to demonstrate that he, through his refutation of Wolffianism, became an advocate for the necessity of absolute space but also denied the existence of an internal force of inertia. After that I will show how Kant’s reading of Euler lead to crucial changes of his natural philosophy in particular and his philosophical enterprise in general. I therefore analyze Kant’s revision of his theory of space and inertia in his precritical writings. Building upon that, I will show the influence of these thoughts on his Metaphysical Foundations. (shrink)

Unlike inert objects, organisms and their cells have the ability to initiate activity by themselves and thus change their properties or states even in the absence of an external cause. This crucial difference led us to search for principles suitable for the study organisms. We propose that cells follow the default state of proliferation with variation and motility, a principle of biological inertia. This means that in the presence of sufficient nutrients, cells will express their default state. We also (...) propose a principle of variation that addresses two central features of organisms, variation and historicity. To address interdependence between parts, we use a third principle, the principle of organization, more specifically, the notion of the closure of constraints. Within this theoretical framework, constraints are specific theoretical entities defined by their relative stability with respect to the processes they constrain. Constraints are mutually dependent in an organized system and act on the default state.Here we discuss the application and articulation of these principles for mathematical modeling of morphogenesis in a specific case, that of mammary ductal morphogenesis, with an emphasis on the default state. Our model has both a biological component, the cells, and a physical component, the matrix that contains collagen fibers. Cells are agents that move and proliferate unless constrained; they exert mechanical forces that act (i) on collagen fibers and (ii) on other cells. As fibers are organized, they constrain the cells’ ability to move and to proliferate. This model exhibits a circularity that can be interpreted in terms of the closure of constraints. Implementing our mathematical model shows that constraints to the default state are sufficient to explain the formation of mammary epithelial structures. Finally, the success of this modeling effort suggests a stepwise approach whereby additional constraints imposed by the tissue and the organism can be examined in silico and rigorously tested by in vitro and in vivo experiments, in accordance with the organicist perspective we embrace. (shrink)

This is the first book on diving to progress beyond the beginner's stage. although open to the beginner, it will come into full use in the hands of the advanced performer and his coach. A careful balance is maintained between encouraging the instinctive response and encouraging the diver to act in accordance with basic physical principles that are instilled so deeply they become second nature to him.The author abjures the folklore of traditional diving instruction in favor of an approach solidly (...) based on the science of mechanics. Such concepts as the moment of inertia and the conservation of angular momentum are simply and graphically explained. This is by no means empty scientific bravado -- in giving the diver a genuine knowledge of why certain motions produce certain results, the book will impart more confidence than a mere set of precepts telling him what to do.All the main groups of dives are covered in separate chapters. The "saving of dives," an essential development of modern diving, is treated, and there is a chapter on the judging of diving. The book is profusely illustrated with drawings and photographs, including for the first time stroboscopic movie action shots of current National and Olympic champions. (shrink)