In a recent paper in Astrophysics and Space Science Vol. 364 no. 11 (2019), S. Ershkov & D. Leschenko presented a new solving procedure for Euler-Poisson equations for solving momentum equations of the CR3BP near libration points for uniformly rotating planets having inclined orbits in the solar system with respect to the orbit of the Earth. The system of equations of the CR3BP has been explored with regard to the existence of an analytic way of presentation of the approximated solution (...) in the vicinity of libration points. A new and elegant ansatz has been suggested in their publication whereby, in solving, the momentum equation is reduced to a system two coupled Riccati ODEs. In this paper, we presented a numerical solution of such coupled Riccati ODEs using Mathematica software package. (shrink)

This paper explores the Cartesian physics of circular motion, in particular, the long-standing puzzle concerning the possible role of a circular inertial concept in Descartes' theories. Although some commentators have claimed that Descartes' famous "rotating sling" examples favor a rotational component of "striving" towards motion, and that this aspect of his project constitutes a form of inertial thinking, it will be argued that a much stronger case for a Cartesian brand of rotational inertial motion can (...) be constructed from a little-known correspondence, the letter to Ciermans, dated 1638. (shrink)

In a day from days, when the famous x is lengthened to x_2 and lost its virginity... Hey-o! Here comes the danger up in this club again. Listen up! Here's the story about a little guy, that lives in a dark world and uses power of wisdom as a torch to find way in darkness; and all day and all night and everything he sees is just illusion. I have been working about the laws of existence for a time. I (...) developed new formulas which were based on a strong mechanism over philosophical hypotheses. Nobody can answer easily; but I thought many times better mathematical infrastructure. Actually at the beginning, I noticed, that a fixed observer does observation of moving bodies being the bodies do a circular motion because of emerging and changing angles over time even if the objects move parallel manner relatively to the observer at that time . This would not happen accidentally even if abstract math says, nothing is going to change. Eureka! Finally while I was in a cafe today, I remembered and developed in a few hours a new method on some note papers which I demanded from cafe to explain existence, and thereupon I asked to my friends for leave, and I am writing towards morning in the name of giving a shoulder to the tired giants. The ancients smile on me! (shrink)

Since there is no really elaborated theory of the dialectic of nature, it is not only desirable but necessary to take a look at some of Hegel's original intuitions, which in many cases lost their distinctness in his later works, or fell victim to the exigencies of his system. Philosophy makes use not only of reasoning but also of intuition. In respect of the mass which offers persistent resistance to a notional solution, it is important to find a suitable image (...) for developing a first approximation to the understanding of the question. According to Hegel, the metaphors of circular and gyratory motion are well-suited for this. Here it is essential to clarify what we can gain by a structural interpretation of such ideas. I think that an attempt has to be made to bring out the contemporary relevance of the topic. Doing so is always a delicate matter, but it is a must if undertakings of the present kind are to be anything more than philological expositions of Hegel's philosophy, if they are to make a real contribution to reflection on the foundations of physics. I shall first give a brief review of the arguments put forward in the Encyclopedia; then I shall analyse Hegel's interpretation of circular and gyratory motion and discuss the possibility of bringing out the relevance of his ideas; finally, I shall draw certain conclusions in respect of the principles involved in comprehending the divisibility of matter, and in putting forward a philosophical interpretation of the theory of relativity. (shrink)

This article aims at clarifying some issues raised by a recent book of Daniel W. Graham about the Presocratic cosmology. It particularly intends to shed some light on the understanding of Anaxagoras’ universe by suggesting some reasons why, despite Graham’s opinion, it is still possible to think that the stars were flat according to him. Another goal is highlighting the importance of the comprehensive physical theory of Anaxagoras, based on a circular motion called perichoresis, which would explain diverse (...) phenomena in a consistent way by introducing simplicity in his cosmology. (shrink)

Introduction Conatus is a specific concept within Descartes’s physics. In particular, it assumes a crucial importance in the purely mechanistic description of the nature of light – an issue that Des- cartes considered one of the most crucial challenges, and major achievements, of his natural phil- osophy. According to Descartes’s cosmology, the universe – understood as a material continuum in which there is no vacuum – is composed of a number of separate yet interconnected vortices. Each of these vortices consists (...) in a set of bands rotating around their centres. The bands are com- posed of corpuscles of the three elements, each distinguished on the basis of their different shapes and sizes. The small globules of the second element, although impeded by the other parts of heaven, strive to move away from the centre of the vortex around which they revolve, thus exerting a certain force against the surrounding bodies. This striving or conatus, though a mere force rather than a genuine motion, is transmitted instan- taneously and along straight lines from body to body. According to Descartes, then, the nature of light consists in this striving alone. This account must be understood as strictly connected to the fundamental laws that regulate the Cartesian world. It is particularly important to recall that for Descartes the centrifugal force exerted by a rotating body is understood to be a consequence of the intrinsic rectilinearity of every motion. As the second of the three Laws of Nature set forth in Book II of the Principles of Philosophy establishes, “all motion is in itself rectilinear; and hence any body moving in a circle tends to move away from the centre of the circle which it describes as proved by the fact that a stone rotating in a sling tends to move centrifugally along the tangent of each point described by a circle.1 Similarly, each of the globules of the second element “strives to recede with a great force from the centre of the vortex in which it rotates; it is in fact prevented by the other globules placed all around, not differently than a stone in a sling”. Within this framework, as I show later, conatus occurs when a body’s intrinsic tendency to rectilinear motion is impeded by an external constraint. As Stephen Gaukroger notes, the use of the term conatus in the Principles – like “vis” and “ action ” – shows that Descartes “cannot avoid dynamic terminology”, despite his declared intent “to construe motion in a purely kinematic way”. Indeed, Gaukroger observes that the notions of force action and striving are systematically employed in the Principles – appearing 290, 59 and 8 times, respectively. Also noteworthy, conatus was – together with the more familiar concepts of actio and vis – a significant element of the conceptual apparatus of Scholastic natural philosophy. As will be seen later – and this is the first goal of this paper – here the concept of conatus had a very specific function. Indeed, it was a central part of the Aristotelian- Scholastic account of gravitation. Conatus was used to refer to the striving of a body to move towards its natural place – especially in cases where its natural motion was hindered or impeded by an external mover. This specific use of the concept of conatus can be found in texts on natural philosophy from the end of the sixteenth through the late seventeenth century. Notably, it occurs in some of the late -Scho- lastic texts which held special significance for Descartes’s thought. Therefore, Descartes introduces conatus in a context in which this concept already had a very specific meaning, and one of which he was very probably aware. The possible relations between these two apparently very different con- cepts have therefore to be scrutinized. I thereby propose to undertake a comparison between the Scho- lastic and the Cartesian conceptions of conatus. I hope to show that certain traits of the former are indeed echoed by the latter, although adapted to the much changed physical paradigm of Cartesian physics. In fact, Descartes’s conatus, though sharing some important similarities with the old one, underwent significant transformations in terms of both its meaning and its application. However, I hope to show that these concepts are both used to describe the behaviour of bodies in relation to their intrinsic motive tendency, and in particular when this tendency is impeded or prevented. Such a reconstruction offers two main areas of interest. On an immediate level, it furthers the general efforts of scholars over the past decades to reconstruct the full extent of the relations between Descartes’s thought and Scholastic philosophy. However, there is another significant reason for taking an interest in the ties between the Scholastic and the Cartesian conceptions of conatus. Indeed, the Cartesian conatus must be seen as crucial to a proper understanding of the broader, diverse conceptualization that this idea enjoyed in the thought of many of the most important philosophers of the early modern period, namely Spinoza, Hobbes and Leibniz. In particular, Spinoza, were directly influenced by Descartes in their unique formulations of conatus. Thus a reconstruction of the context in which Descartes formulated his conatus and of its relations to a pre-existing Scholastic conception will enable us to better reconstruct the history of this idea in the early modern period. The paper is structured as follows: in the first part, I provide a thorough review of the Scho- lastic employment of the concept conatus – both its meaning and the extent of its usage. I then show that it occurs in some of the most prominent Cartesian sources. Finally, I shall provide an account of Descartes’s theory of circular motion and conatus with the specific aim of empha- sizing the elements of both continuity and discontinuity that justify the claim that Descartes’s con- ception of conatus is reminiscent of the Scholastic one. (shrink)

The theory of vortices seems to contradict Descartes’s willingness to accept in physics only “principles also accepted in mathematics.” We show that this cosmological theory is on the contrary consistent with the Cartesian mathematical norm – explaining phenomena only by the properties that bodies have in common with mathematical objects – and partly implied by the thesis according to which the essence of matter consists of extension – circular motion being the only one allowing movement in a world (...) saturated by a homogeneous extension. In this respect, the incoherence of the Principles of Philosophy resides rather in the gap between the claim to have “proved by mathematical demonstration” and in the fact that, to pass from the level of general principles to that of cosmology, Descartes sets up a series of auxiliary hypotheses concerning the genesis of the world. (shrink)

Mathematically, the oscillation can be related to circular motion; whereas complex oscillation (De Moivre's) can not be related to a mechanical model. A mechanical bevel gear of two different wheels radii is proposed. The position vector of the point is a real quantity. But when the small wheel can not be recognized (observed) within the system, the position vector becomes of a complex feature. The analysis shows that the complex oscillation is a microscopic phenomenon and can be occurred (...) in the following conditions: 1- There should be a gear system. 2- There should be an observation limit. (shrink)

Popper's account of refutation is the linchpin of his famous view that the method of science is the method of conjecture and refutation. This thesis critically examines his account of refutation, and in particular the practice he deprecates as avoiding a refutation. I try to explain how he comes to hold the views that he does about these matters; how he seeks to make them plausible; how he has influenced others to accept his mistakes, and how some of the ideas (...) or responses to Popper of such people are thus similarly mistaken. I draw some distinctions necessary to the provision of an adequate account of the so-called practice of avoiding a refutation, and try to rid the debate about this practice of at least one red herring. I analyse one case of 'avoiding' a refutation in detail to show how the rationality of scientific practice eludes both Popper and many of his commentators. Popper's skepticism about contingent knowledge prevents him from providing an acceptable account of contingent refutation, and so his method is really the method of conjecture and conjecture. He cannot do without the concepts of knowledge and refutation, however, if his account of science is to be plausible or persuasive, and so he equivocates between, amongst other things, refutation as disproof and refutation as the weaker notion of discorroboration. I criticise David Stove's account of this matter, in particular to show how he misses this point. An additional advantage Popper would secure from this equivocation is that if refutations were mere discorroborations they would be easier to achieve, and hence more common in science, than is the case. On Popper's weak notion of refutation, it would be possible to refute true theories since corroboration does not entail truth. There are two other related doctrines Popper holds about refutation which, if accepted, make some refutations seem easier to obtain than is the case. I call these doctrines 'Strong Popperian Falsificationism' (SPF) and 'Weak Popperian Falsificationism' (WPF). SPF is the false doctrine that if a prediction from some theory is refuted then that theory is refuted. Popper does not always endorse SPF. In particular, when confronted with a counterexample to it, he retreats to WPF, which is the false doctrine that if a prediction from some theory is refuted then that theory is prima facie refuted. WPF , or even SPF, can seem plausible if one has in mind predictions derived from theories in strong or conclusive tests of those theories, which I suggest Popper characteristically does. v Popper is disposed to describe any such case of predictive failure which does not lead to the refutation of the theory concerned as one in which that refutation has been avoided. To reinforce his portrayal of the refutation, or the attempted refutation, of major scientific theories as the rational core of scientific practice, Popper treats the so-called practice of avoiding a refutation as untypical of science, and much so-called avoidance he dismisses as unscientific or pseudo-scientific. I argue that his notion of avoiding a refutation is incoherent. Popper is further driven to believe that such avoidance is possible, however, because he conflates sentences with propositions and propositions with propositional beliefs. Also, he wishes to avoid being saddled with the relativisim that is a consequence of his weak account of refutation as discorroboration. Popper believes that ad hoc hypotheses are the most important of the unscientific means of avoiding a refutation. I argue that his account of such hypotheses is also incoherent, and that several hypotheses thought to be ad hoc in his sense are not. Such hypotheses appear to be so largely because of Popper's use of rhetoric and partly because these hypotheses are unacceptable for other reasons. I conclude that to know that a hypothesis is ad hoc in Popper's sense does not illuminate scientific practice. Popper has also attempted to explicate ad hocness in terms of some undesirable, or allegedly undesirable, properties of hypotheses or the explanations they would provide. The first such property is circularity, which is undesirable; the second such property is reduction in empirical content, which is not. In the former case I argue that non-circularity is clearly preferable to non-ad hocness as a criterion for a satisfactory explanation or explanans, as the case may be, and in the latter case that Popper is barking up the wrong tree. Some cases of so-called avoidance are obviously not unscientific. The discovery of Neptune from a prediction based on the reasonable belief that there were residual perturbations in the motion of Uranus is an important case in point, and one that is much discussed in the literature. The manifest failure of astronomers to account for Uranus's motion did not lead to the refutation of Newton's law of gravitiation, yet significant scientific progress obviously did result. Retreating to WPF, Popper claims that Newton's law was prima facie refuted. In general, astronomers have never shared this view, and they are correct in not doing so. I argue that the law of gravitation would have been prima facie refuted only if there had been good reason at the time to believe as false what is true, namely, that an unknown trans-Uranian planet was the cause of those Uranian residuals. Knowledge of the trans-Uranian region was then so slight that it was merely a convenient assumption, one which there was little reason to believe was false, that the known influences on Uranus's motion were the only such influences. I conclude that in believing vi or supposing that it was this assumption that was false, rather than the law of gravitation, Leverrier and Adams, the co-predictors of Neptune, were acting rationally and intelligently. Popper's commentators offer a variety of accounts of the alleged practice of avoiding a refutation, and of this case in particular. I analyse a sample of their accounts to show how common is the acceptance of some of Popper's basic mistakes, even amongst those who claim to reject his falsificationism, and to display the effects on their accounts of this acceptance of his mistakes. Many commentators recognize that anomalies are typically dealt with by changes in the boundary conditions or in other of the auxiliary propositions employed. Where many still go wrong, however, is in retaining the presupposition of WPF which encouraged Popper to hold the contradictory view about anomalies in the first place. Thus Imre Lakatos and others, for example, have developed a 'siege mentality' about major scientific theories; they see them as under continual threat of refutation from anomalies, and so come to believe that dogmatism is essential in science if such theories are to survive as they do. I examine various such doomed attempts to reconcile Popper with the history of science. It is a common failure in this literature to conflate or to fail to see the need to distinguish a belief from a supposition, and an epistemic reason from a pragmatic reason. I argue that only if one does draw these distinctions can one give an adequate account of how anomalies are rationally dealt with in science. The other important strand in Popper's thinking about 'avoidance' of refutation which has seriously misled some of his commentators is his unfounded belief in the dangers of ad hoc hypotheses. I examine the accounts that a sample of such commentators provide of the trans-Uranian planet hypotheses of Leverrier and Adams. These commentators imply or assert what Popper only hints at, namely, that there is something fishy about this hypothesis. I provide a further defence of the rationality of entertaining this hypothesis at the time. I conclude with a few remarks about Popper's dilemma in respect of scientific practice and his long standing emphasis on refutations. (shrink)

The scientific study of socio-cultural phenomenon requires a translocation of topics elaborated from the social perspective of the individual to a rationally ordered rendition of processes suitable for comprehension from a scientific perspective. Scholarly curiosity seeded from exposure in the natural setting to economic, political, socio-cultural, evolutionary, processes dictates that study of the self, should be a science with a necessary place in the body of world literatures; yet it has proven difficult to find a perspective to contain discussions of (...) topics in a coherent manner for scientific approach: for example, anthropology, the study of mankind, finds difficulty elaborating definition for the orientation of study; it is a member of the same set that contains it. In this presentation, based on features indigenous to a supposed distant perspective that is exposed employing experiences of history and criteria of common sensory perception, it is conjectured that a civilization lifetime pathology is contemporarily active. Example is taken from philosophical and sociological discourses, modern science theory, medicine in pursuit of international health issues, to capture conceptually a role of motions of external agents occurred within the interval of observation, elaboration of concepts, choice of directions, as a source of paradox and confusion. In supposition that does not escape simple logic, ubiquitously appealing to the experience bound senses for understanding, hidden motions, common to both observer and observed, are hypothesized to render from a sense of familiarity, a continued frustration in attaining an understanding of the self and nature. A psychical seduction is proposed to exist, related to historical behaviors associated with centrism and asceticism, produces eccentric interpretations that are bound modernly to logical circular, centric geometrical reasonings; world conceptualizations are conjectured to acquire an avoidance of a state of ‘motionless’ rather than death within selection processes. Projection by the imagination upon the unknown is conjectured to result in a seduction by an active ‘live-wire” embodied to motions occurred to a distant surface. (shrink)

Premier ouvrage de l’histoire de la philosophie à être totalement consacré au concept d’entéléchie, il ne s’agira pas de proposer un essai historique allant de la mise en place de cette notion chez Aristote jusqu’à la conception biologique développée par Hans Driesch. Inscrit dans un projet plus global de compréhension du temps aristotélicien, c’est à une véritable refondation métaphysique du concept que ce travail nous convie. Si Kant, à l’ultime fin de sa première critique, avait admis qu’il n’existait que deux (...) voies possibles de fondation de l’a priori - la voie historique (platonicienne) empruntée par Hegel et la voie physiologique (aristotélicienne) qui sera la nôtre - la première partie de ce second volume prendra pour acquis qu’il n’existe pas de théorie qui puisse unifier ces deux pôles du savoir. Cela impliquera une scission entre deux mouvements irrationnels que sont le mouvement entéléchique aristotélicien et le mouvement dialectique platonicien. A partir du corps a priori du surhomme, le premier mouvement sera à la racine de la théorie de la connaissance (De la science) alors que le second sera au fondement de la théorie des valeurs (De l’Idéologie). En circonscrivant le mouvement dialectique dorien autour du noûs perse (iranien), ce travail offrira une première définition totalement négative du mouvement entéléchique appuyé, lui, sur le noûs ionien (« phénicien ») dont la seconde partie sera l’objet. De l’analyse de la substance première en passant par l’étude phénoménologique des schèmes de la camusité et du membre moteur, cette étude reviendra sur l’élasticité du tendon afin d’approcher non-phénoménalement le concept lui-même et tenter ainsi une première symphyse avec les rythmes circadiens de la biologie contemporaine. (shrink)

In apparent motion experiments, participants are presented with what is in fact a succession of two brief stationary stimuli at two different locations, but they report an impression of movement. Philosophers have recently debated whether apparent motion provides evidence in favour of a particular account of the nature of temporal experience. I argue that the existing discussion in this area is premised on a mistaken view of the phenomenology of apparent motion and, as a result, the space (...) of possible philosophical positions has not yet been fully explored. In particular, I argue that the existence of apparent motion is compatible with an account of the nature of temporal experience that involves a version of direct realism. In doing so, I also argue against two other claims often made about apparent motion, viz. that apparent motion is the psychological phenomenon that underlies motion experience in the cinema, and that apparent motion is subjectively indistinguishable from real motion. (shrink)

There have long been calls from industry for guidance in implementing strategies for sustainable development. The Circular Economy represents the most recent attempt to conceptualize the integration of economic activity and environmental wellbeing in a sustainable way. This set of ideas has been adopted by China as the basis of their economic development, escalating the concept in minds of western policymakers and NGOs. This paper traces the conceptualisations and origins of the Circular Economy, tracing its meanings, and exploring (...) its antecedents in economics and ecology, and discusses how the Circular Economy has been operationalized in business and policy. The paper finds that while the Circular Economy places emphasis on the redesign of processes and cycling of materials, which may contribute to more sustainable business models, it also encapsulates tensions and limitations. These include an absence of the social dimension inherent in sustainable development that limits its ethical dimensions, and some unintended consequences. This leads us to propose a revised definition of the Circular Economy as “an economic model wherein planning, resourcing, procurement, production and reprocessing are designed and managed, as both process and output, to maximize ecosystem functioning and human well-being”. (shrink)

I argue that Plato believes that the soul must be both the principle of motion and the subject of cognition because it moves things specifically by means of its thoughts. I begin by arguing that the soul moves things by means of such acts as examination and deliberation, and that this view is developed in response to Anaxagoras. I then argue that every kind of soul enjoys a kind of cognition, with even plant souls having a form of Aristotelian (...) discrimination (krisis), and that there is therefore no completely unintelligent, evil soul in the cosmos that can explain disorderly motions; as a result, the soul is not the principle of all motion but only motion in the cosmos after it has been ordered by the Demiurge. (shrink)

Is perception cognitively penetrable, and what are the epistemological consequences if it is? I address the latter of these two questions, partly by reference to recent work by Athanassios Raftopoulos and Susanna Seigel. Against the usual, circularity, readings of cognitive penetrability, I argue that cognitive penetration can be epistemically virtuous, when---and only when---it increases the reliability of perception.

Disagreement and debunking arguments threaten religious belief. In this paper, I draw attention to two types of propositions and show how they reveal new ways to respond to debunking arguments and disagreement. The first type of proposition is the epistemically self-promoting proposition, which, when justifiedly believed, gives one a reason to think that one reliably believes it. Such a proposition plays a key role in my argument that some religious believers can permissibly wield an epistemically circular argument in response (...) to certain debunking arguments. The second type of proposition is the epistemically others-demoting proposition, which, when justifiedly believed, gives one a reason to think that others are unreliable with respect to it. Such a proposition plays a key role in my argument that some religious believers can permissibly wield a question-begging argument to respond to certain types of disagreement. (shrink)

Epistemically circular arguments have been receiving quite a bit of attention in the literature for the past decade or so. Often the goal is to determine whether reliabilists (or other foundationalists) are committed to the legitimacy of epistemically circular arguments. It is often assumed that epistemic circularity is objectionable, though sometimes reliabilists accept that their position entails the legitimacy of some epistemically circular arguments, and then go on to affirm that such arguments really are good ones. My (...) goal in this paper is to argue against the legitimacy of epistemically circular arguments. My strategy is to give a direct argument against the legitimacy of epistemically circular arguments, which rests on a principle of basis-relative safety, and then to argue that reliabilists do not have the resources to resist the argument. I argue that even if the premises of an epistemically circular argument enjoy reliabilist justification, the argument does not transmit that justification to its conclusion. The main goal of my argument is to show that epistemic circularity is always a bad thing, but it also has the positive consequence that reliabilists are freed from an awkward commitment to the legitimacy of some intuitively bad arguments. (shrink)

The concept of Substantial motion (حركت جوهرى) is fundamentally flawed and severely muddled. Aristotle and Mulla Sadra’s conception of motion, substance (جوهر) and substantial form صورت نوعيه)) were all based on a severe misunderstanding of nature as later was established by the scientists and philosophers that came after them. Here, by recalling the established facts of modern science, particularly the universally accepted scientific fact that, properties of objects are reducible to the motion of their electrons and there’s (...) no such thing as ‘substantial form’ much less substance, the author puts an end to a 400-year-old glorious error called ‘substantial motion’. Naturally any attempt to reconcile the paradigms of modern physics with Aristotle/Sadra paradigms of form/matter and substance/accidents, and to try to draw parallel between the two and revive their philosophy would be an exercise in futility. (shrink)

In this paper, I propose a critique of the naturalist version of the Desire-Based Reasons Model. I first set the scene by spelling out the connection between naturalism and the Model. After this, I introduce Christine Korsgaard’s circularity argument against what she calls the instrumental principle. Since Korsgaard’s targets, officially, were non-naturalist advocates of the principle, I show why and how the circularity charge can be extended to cover the naturalist Model. Once this is done, I go on to investigate (...) in some detail the different ways of responding to the circularity challenge. I argue that none of these responses succeed, at least not without serious costs to their advocates. I then end the paper with a brief summary and some concluding remarks. (shrink)

The paper argues that Motion and Rest are “greatest kinds” and not just convenient examples, since they are all-pervading. Thus Motion and Rest can be jointly predicated of a single subject and can be predicated of each other, just as Sameness and Otherness can. While Sameness and Otherness are opposites, a single subject may be the same in one respect, namely, the same as itself, and other in another respect, namely, other than other things. Thus they can be (...) predicated of a single subject, and they can be predicated of each other, as well, since Sameness is other than other things and Otherness is the same as itself. The same explanation applies to Motion and Rest, as the paper demonstrates: a given subject may be in motion in one respect while being at rest in another respect. This distinction is made in the Sophist itself, right in the passage concerning the greatest kinds. Thus Motion and Rest should be considered greatest kinds on par with Being, Sameness, and Otherness, and each of these kinds pervades all other kinds. (shrink)

One of the gravest charges that has been brought against Hume’s essay “Of the Standard of Taste” is that of circularity. Hume is accused of defining good art in terms of “true judges,” and of defining true judges in terms of their ability to judge good art. First, I argue that Hume avoids circularity since he offers a way of identifying good art that is logically independent of the verdict of true judges. Second, I argue that this clarifies an enduring (...) puzzle in the scholarship on Hume’s essay: why he appears to offer not one but two standards of taste. Hume’s standard does not consist of general rules; however, Hume needs general rules to establish that some individuals’ tastes are more “delicate” than others’. (shrink)

Open peer commentary on the article “Circularity and the Micro-Macro-Difference” by Manfred Füllsack. Upshot: The target article defends the fundamental role of circularity for systems sciences and the necessity to develop a conceptual and methodological approach to it. The concept of circularity, however, is multifarious, and two of the main challenges in this respect are to provide distinctions between different forms of circularities and explore in detail the roles they play in organizations. This commentary provides some suggestions in this direction (...) with the aim to supplement the perspective presented in the target article with some insights from theoretical biology. (shrink)

Contemporary philosophical accounts of the applicability of mathematics in physical sciences and the empirical world are based on formalized relations between the mathematical structures and the physical systems they are supposed to represent within the models. Such relations were constructed both to ensure an adequate representation and to allow a justification of the validity of the mathematical models as means of scientific inference. This article puts in evidence the various circularities (logical, epistemic, and of definition) that are present in these (...) formal constructions and discusses them as an argument for the alternative semantic and propositional-structure accounts of the applicability of mathematics. (shrink)

This paper is concerned with the senses in which paintings do and do not depict various temporal phenomena, such as motion, stasis and duration. I begin by explaining the popular – though not uncontroversial – assumption that depiction, as a pictorial form of representation, is a matter of an experiential resemblance between the pictorial representation and that which it is a depiction of. Given this assumption, I illustrate a tension between two plausible claims: that paintings do not depict (...) class='Hi'>motion in the sense that video recordings do, and that paintings do not merely depict objects but may depict those objects as engaged in various activities, such as moving. To resolve the tension, I demonstrate that we need to recognise an ambiguity in talk of the appearance of motion, and distinguish between the depiction of motion and the depiction of an object as an object that is moving. Armed with this distinction, I argue that there is an important sense in which paintings depict neither motion, duration, nor – perhaps more controversially – stasis. (shrink)

In the texts of the middle years (roughly, the 1680s and 90s), Leibniz appears to endorse two incompatible approaches to motion, one a realist approach, the other a phenomenalist approach. I argue that once we attend to certain nuances in his account we can see that in fact he has only one, coherent approach to motion during this period. I conclude by considering whether the view of motion I want to impute to Leibniz during his middle years (...) ranks as a kind of realism or rather as some kind of phenomenalism or idealism. (shrink)

One of the main challenges confronting Humean accounts of natural law is that Humean laws appear to be unable to play the explanatory role of laws in scientific practice. The worry is roughly that if the laws are just regularities in the particular matters of fact (as the Humean would have it), then they cannot also explain the particular matters of fact, on pain of circularity. Loewer (2012) has defended Humeanism, arguing that this worry only arises if we fail to (...) distinguish between scientific and metaphysical explanations. However, Lange (2013, 2018) has argued that scientific and metaphysical explanations are linked by a transitivity principle, which would undercut Loewer's defense and re-ignite the circularity worry for the Humean. I argue here that the Humean has antecedent reasons to doubt that there are any systematic connections between scientific and metaphysical explanations. The reason is that the Humean should think that scientific and metaphysical explanation have disparate aims, and therefore that neither form of explanation is beholden to the other in its pronouncements about what explains what. Consequently, the Humean has every reason to doubt that Lange's transitivity principle obtains. (shrink)

In this paper, I argue that Amie Thomasson’s Easy Ontology rests on a vicious circularity that is highly damaging. Easy Ontology invokes the idea of application conditions that give rise to analytic entailments. Such entailments can be used to answer ontological questions easily. I argue that the application conditions for basic terms are only circularly specifiable showing that Thomasson misses her self-set goal of preventing such a circularity. Using this circularity, I go on to show that Easy Ontology as a (...) whole collapses. (shrink)

Reliabilism is an intuitive and attractive view about epistemic justification. However, it has many well-known problems. I offer a novel condition on reliabilist theories of justification. This method coherence condition requires that a method be appropriately tested by appeal to a subject’s other belief-forming methods. Adding this condition to reliabilism provides a solution to epistemic circularity worries, including the bootstrapping problem.

John Searle’s theory of social ontology posits that there are indispensable normative components in the linguistic apparatuses termed status functions, collective intentionality, and collective recognition, all of which, he argues, make the social world. In this paper, I argue that these building blocks of Searle’s theory are caught in a petitio of constitutive circularity. Moreover, I note how Searle fails to observe language in reciprocal relation to the institutions which not only are shaped by it but also shape language’s practical (...) applications. According to Searle, social theorists that tried to show a connection between society, culture, and language all failed to see the constitutive role of language in the making of social reality. Consequently, I believe that Searle is himself guilty of a certain kind of blind presumption, and argue that Hegel’s philosophy of culture, which Searle dismisses as implausible, offers a more cohesive account of the normative transactions between human beings and their social world. (shrink)

Peter Godfrey-Smith and Nicholas Shea have argued that standard versions of teleosemantics render explanations of successful behavior by appealing to true beliefs circular and, consequently, non-explanatory. As an alternative, Shea has recently suggested an original teleosemantic account (that he calls ?Infotel-semantics?), which is supposed to be immune to the problem of circularity. The paper argues that the standard version of teleosemantics has a satisfactory reply to the circularity objection and that, in any case, Infotel-semantics is not better off than (...) standard teleosemantics. (shrink)

In the Metaphysical Foundations of Natural Science, Kant presents an argument for the centrality of <motion> to our concept <matter>. This argument has long been considered either irredeemably obscure or otherwise defective. In this paper I provide an interpretation which defends the argument’s validity and clarifies the sense in which it aims to show that <motion> is fundamental to our conception of matter.

This article proves that the motion principle of philosophical physics (every thing moved is moved by another) is truly compatible with the inertia principle of mathematical physics (Newton's First Law).

In this paper, I start by describing and examining the main results about the option of formalizing the Yablo Paradox in arithmetic. As it is known, although it is natural to assume that there is a right representation of that paradox in first order arithmetic, there are some technical results that give rise to doubts about this possibility. Then, I present some arguments that have challenged that Yablo’s construction is non-circular. Just like that, Priest (1997) has argued that such (...) formalization shows that Yablo’s Paradox involves implicit circularity. In the same direction, Beall (2001) has introduced epistemic factors in this discussion. Even more, Priest has also argued that the introduction of infinitary reasoning would be of little help. Finally, one could reject definitions of circularity in term of fixed-point adopting non-well-founded set theory. Then, one could hold that the Yablo paradox and the Liar paradox share the same non-well-founded structure. So, if the latter is circular, the first is too. In all such cases, I survey Cook’s approach (2006, forthcoming) on those arguments for the charge of circularity. In the end, I present my position and summarize the discussion involved in this volume. En este artículo, describo y examino los principales resultados vinculados a la formalización de la paradoja de Yablo en la aritmética. Aunque es natural suponer que hay una representación correcta de la paradoja en la aritmética de primer orden, hay algunos resultados técnicos que hacen surgir dudas acerca de esta posibilidad. Más aún, presento algunos argumentos que han cuestionado que la construcción de Yablo no sea circular. Así, Priest (1997) ha argumentado que la formalización de la paradoja de Yablo en la aritmética de primer orden muestra que la misma involucra implícitamente circularidad. En la misma dirección, Beall (2001) ha introducido factores epistémicos en esta discusión. Más aún, Priest ha también argumentado que la introducción de razonamiento infinitario como complemento de la formalización en la aritmética sería de poca ayuda. Finalmente, se podría rechazar todo intento de dar definiciones de circularidad en términos de puntos fijos adoptando teoría de conjuntos infundados. Entonces, se podría sostener que la paradoja de Yablo y la del mentiroso comparten la misma estructura infundada. Por eso, si la última es circular, también lo es la primera. En todos los casos, presento el enfoque de Roy Cook (2006, en prensa) sobre estos argumentos que atribuyen circularidad a la construcción de Yablo. En el final, presento mi posición y un breve resumen de la discusión involucrada en este volumen. (shrink)

This article explores how Plato, in his “metaphysical” dialogues, sees the specific properties of motion (and especially of motion in music), which lend themselves to adaptation for the purposes of maintaining or restoring the health of the soul. Plato explores the property of regular or rhythmic motion in particular. The attention has been drawn to the analogy between the calming effect of music, at the human level, and the Demiurge’s achievement in willing the world into existence. The (...) focus of the article lays on the Laws, in which the principle of musical motion plays a central role in resolution of the contradictions between material and spiritual, natural and physiological, medical and educative. (shrink)

This essay proposes a new interpretation of a central, and yet overlooked, argument Leibniz offers against Descartes’s power-free ontology of the corporeal world. Appealing to considerations about the successiveness of motion, Leibniz attempts to show that the reality of motion requires force. It is often assumed that the argument is driven by concerns inspired by Zeno. Against such a reading, this essay contends that Leibniz’s argument is instead best understood against the background of an Aristotelian view of the (...) priority of real being over time. The essay also shows how this alternative interpretation can help to shed new light on the difference between Leibnizian forces and Aristotelian powers, as well as on Leibniz’s famous claim that accounting for force leads us beyond the mechanistic corporeal realm. (shrink)

This work takes into account three Cartesian manuals diffused in 17th century France ; Jacques Rohault, Traité de physique ; Pierre-Sylvain Régis, Cours entier de philosophie, ou système general selon les principes de M. Descartes contenant la logique, la metaphysique, la physique et la morale ) in order to question if the development of an empirical attitude in the scientific research influenced their approaches to the study of motion. The article intends to deepen the role that these authors give (...) to God in the physical structure of the universe with the purpose of investigating whether their analysis of motion is untainted by the metaphysical component or on what terms it remains linked to it. (shrink)

Pretheoretically we hold that we cannot gain justification or knowledge through an epistemically circular reasoning process. Epistemically circular reasoning occurs when a subject forms the belief that p on the basis of an argument A, where at least one of the premises of A already presupposes the truth of p. It has often been argued that process reliabilism does not rule out that this kind of reasoning leads to justification or knowledge. For some philosophers, this is a reason (...) to reject reliabilism. Those who try to defend reliabilism have two basic options: (I) accept that reliabilism does not rule out circular reasoning, but argue that this kind of reasoning is not as epistemically “bad” as it seems, or (II) hold on to the view that circular reasoning is epistemically “bad”, but deny that reliabilism really allows this kind of reasoning. Option (I) has been spelled out in several ways, all of which have found to be problematic. Option (II) has not been discussed very widely. Vogel considers and quickly dismisses it on the basis of three reasons. Weisberg has shown in detail that one of these reasons is unconvincing. In this paper I argue that the other two reasons are unconvincing as well and that therefore option (II) might in fact be a more promising starting point to defend reliabilism than option (I). (shrink)

O artigo oferece diversas formulações da teoria da referência nominal conhecida como descritivismo circular ou meta-linguístico, introduzindo e discutindo diversos argumentos contra ela.

This item is a chapter from a book in progress, entitled "True Motion". Leibniz’s mechanics was, as we shall see, a theory of elastic collisions, not formulated like Huygens’ in terms of rules explicitly covering every possible combination of relative masses and velocities, but in terms of three conservation principles, including (effectively) the conservation of momentum and kinetic energy. That is, he proposed what we now call (ironically enough) ‘Newtonian’ (or ‘classical’) elastic collision theory. While such a theory is, (...) for instance, vital to the foundations of the kinetic theory of gases, it is not applicable to systems – like gravitational systems – in which fields of force are present. Thus, Leibniz’s mechanical principles never led to developments of the order of Newton’s in the Principia (additionally, he hamstrung their application by embedding them in a baroque philosophical system). (shrink)

I examine the reasons Aristotle presents in Physics VIII 8 for denying a crucial assumption of Zeno’s dichotomy paradox: that every motion is composed of sub-motions. Aristotle claims that a unified motion is divisible into motions only in potentiality (δυνάμει). If it were actually divided at some point, the mobile would need to have arrived at and then have departed from this point, and that would require some interval of rest. Commentators have generally found Aristotle’s reasoning unconvincing. Against (...) David Bostock and Richard Sorabji, inter alia, I argue that Aristotle offers a plausible and internally consistent response to Zeno. I defend Aristotle’s reasoning by using his discussion of what to say about the mobile at boundary instants, transitions between change and rest. There Aristotle articulates what I call the Changes are Open, Rests are Closed Rule: what is true of something at a boundary instant is what is true of it over the time of its rest. By contrast, predications true of something over its period of change are not true of the thing at either of the boundary instants of that change. I argue that this rule issues from Aristotle’s general understanding of change, as laid out in Phys. III. It also fits well with Phys. VI, where Aristotle maintains that there is a first boundary instant included in the time of rest, but not a “first in which the mobile began to change.” I then show how this rule underlies Aristotle’s argument that a continuous motion cannot be composed of actual sub-motions. Aristotle distinguishes potential middles, points passed through en route to a terminus, from actual middles. The Changes are Open, Rests are Closed Rule only applies to actual middles, because only they are boundaries of change that the mobile must arrive at and then depart from. On my reading, Aristotle argues that the instant of arrival, the first instant at which the mobile has come to be at the actual middle, cannot belong to the time of the subsequent motion. If it did, the mobile would already be moving towards the next terminus and thus, per Phys. VI 6, would have already left. But it cannot have moved away from the midpoint at the very same moment it has arrived there. This means that the instant of arrival must be separated from the time of departure by an interval of rest. I show how Aristotle’s reasoning applies generally to rule out any continuous reflexive motion or continuous complex rectilinear motion. On my interpretation, however, the argument does not apply to every change of direction. When, as in the case of projectile motion, multiple movers and their relative powers explain why the mobile changes directions, distinct sub-motions are not involved. Aristotle holds that such motions cannot be continuous, not because they involve intervals of rest, but because they involve multiple causes of motion. My interpretation of the Changes are Open, Rests are Closed Rule allows us to make better sense of Aristotle’s argument than any previous interpretation. (shrink)

The impetus theory of motion states that to be in motion is to have a non-zero velocity. The at-at theory of motion states that to be in motion is to be at different places at different times, which in classical physics is naturally understood as the reduction of velocities to position developments. I first defend the at-at theory against the criticism raised by Arntzenius that it renders determinism impossible. I then develop a novel impetus theory of (...) motion that reduces positions to velocity developments. As this impetus theory of motion is by construction a mirror image of the at-at theory of motion, I claim that the two theories of motion are in fact epistemically on par—despite the unfamiliar metaphysical picture of the world furnished by the impetus version. (shrink)

In this article, I focus on the circular relationship that, in his 1998 encyclical, Jean Paul II argued there is between faith and reason. I first note that this image of circularity needs some explaining, because it is not clear where exactly the circular process begins and ends. I then argue that an explanation can be found in Aquinas’s reflection on the gift of understanding. Aquinas referred to the virtue of faith as caused by God, which promotes human (...) reason, and this in turn strengthens the certainty of faith. (shrink)

If the reliability of a source of testimony is open to question, it seems epistemically illegitimate to verify the source’s reliability by appealing to that source’s own testimony. Is this because it is illegitimate to trust a questionable source’s testimony on any matter whatsoever? Or is there a distinctive problem with appealing to the source’s testimony on the matter of that source’s own reliability? After distinguishing between two kinds of epistemically illegitimate circularity—bootstrapping and self-verification—I argue for a qualified version of (...) the claim that there is nothing especially illegitimate about using a questionable source to evaluate its own reliability. Instead, it is illegitimate to appeal to a questionable source’s testimony on any matter whatsoever, with the matter of the source’s own reliability serving only as a special case. (shrink)

In Critique of Pure Reason Kant speaks about motion, as action of the subject in connection with the actions by which we describe a space, such as drawing a line or constructing a circle. In a 1992-paper in Kant-Studien I argued that this is one important piece of textual evidence for the so-called externalist interpretation, according to which the transcendental conditions of experience and indeed all the a priori elements in Kant’s system are public, depending upon overt action. Konstantin (...) Pollok has criticized my reading, arguing that the relevant use of the term “motion” here is just metaphorical, and considering some central Kantian doctrines that he thinks refutes the externalist interpretation. The present paper defends the externalist interpretation against Pollok’s charges. (shrink)

Natural systems are categorized according to their structural and dynamical similarities. A two-dimensional schema is proposed as a kind of "periodic table" of natural systems. Six of eight levels in this schema serve as sources of analogies, two levels are the targets of analogical reasoning. The source domains are the atomic, molecular, macromolecular, micro-organismic, organismic and socio-cultural systems and processes. One of the target domains discussed in the article is the level of subatomic particles. The other target domain, not discussed (...) in the article, could be the level of future supra-national systems. Three types of processes are identified occurring in natural systems: conservation, modification and transformation. Modifications allow a reversible adaptation of a system to environmental influences by changing its internal state. The entirety of all internal states defines the "state space" of the system. Similarities of state spaces between systems of six levels are investigated. A dual-space picture of natural systems can be defined on six levels, the source domains of analogical reasoning. On the subatomic level, space-time is identified as part of the state space of subatomic particles. However, space-time needs a completion by an additional state space in order to obtain a dual-space picture also for subatomic particles. A "basic space" is proposed, so that subatomic particles exist simultaneously in space-time and in basic space. The basic space is assumed to be a circular space, where masses and charges circulate force-free and generate the spin and the magnetic moment of particles. A presumption about the existence of hypothetical matter not detectable in space-time is derived. Such primitive forms of matter could exist in basic space only and represent the dark matter. (shrink)

This essay explores two of the more neglected hypotheses that comprise, or supplement, Descartes’ relationalist doctrine of bodily motion. These criteria are of great importance, for they would appear to challenge Descartes’ principal judgment that motion is a purely reciprocal change of a body’s contiguous neighborhood. After critiquing the work of the few commentators who have previously examined these forgotten hypotheses, mainly, D. Garber and M. Gueroult, the overall strengths and weaknesses of Descartes’ supplementary criteria will be assessed. (...) Overall, despite their ingenuity, it will be demonstrated that Descartes’ criteria cannot rescue his brand of natural laws from the inherent limitations of his strong relational account of motion. (shrink)

Although Alston believed epistemically circular arguments were able to justify their conclusions, he was also disquieted by them. We will argue that Alston was right to be disquieted. We explain Alston’s view of epistemic circularity, the considerations that led him to accept it, and the purposes he thought epistemically circular arguments could serve. We then build on some of Alston’s remarks and introduce further limits to the usefulness of such arguments and introduce a new problem that stems from (...) those limits. The upshot is that adopting Alston’s view that epistemically circular arguments can be used to justify their conclusions is more costly than even he thought. (shrink)

In this chapter, we will first argue that current practices in CBE are framed within the market or economic logic and miss the normative dimension of the call for circularity. The transition to the CBE requires a fundamental reflection on the role of economic actors in the social and ecological environment with significant consequences for their business practices. Second, we will argue that the transition to the CBE requires the acknowledgement of the normative and social dimensions of this transition at (...) the meso and macro levels, and the establishment of an environmental and social logic on the micro level of business practices. Third, we will argue that the concept of responsible innovation (RI) can help to articulate the normative and social dimensions of the transition to the CBE, and enables the operationalisation of the environmental and social logic at the micro level. In this respect, RI can be understood as a driver for the transition to the CBE. (shrink)