Examples are presented of Aristotle’s use of non-idealized mathematics. Distinctions Husserl makes in Crisis help to delineate the features of this empiricalmathematics, which include the non-persistence of mathematical aspects of things and the selective application of mathematical traits and proper accidents. In antiquity, non-abstracted mathematics was involved with practical sciences that treat motion. The suggestion is made that these sciences were incorporated by Aristotle into natural philosophy without first being abstracted as pure mathematics—a state of affairs not envisioned by Husserl, (...) for whom science recast natural ontology by means of the idealization of pure mathematics. The relation of empirical mathematics to life-world ontology is considered. (shrink)

Rethinking the meaning of mechanism in antiquity Content Type Journal Article Category Essay Review Pages 1-6 DOI 10.1007/s11016-011-9599-0 Authors Jean De Groot, School of Philosophy, Catholic University of America, 420 Michigan Ave., NE, Washington, DC 20064, USA Journal Metascience Online ISSN 1467-9981 Print ISSN 0815-0796.

In _Aristotle’s Empiricism_, Jean De Groot argues that an important part of Aristotle’s natural philosophy has remained largely unexplored and shows that much of Aristotle’s analysis of natural movement is influenced by the logic and concepts of mathematical mechanics that emerged from late Pythagorean thought. De Groot draws upon the pseudo-Aristotelian_ Physical Problems_ XVI to reconstruct the context of mechanics in Aristotle’s time and to trace the development of kinematic thinking from Archytas to the Aristotelian _Mechanics_. She (...) shows the influence of kinematic thinking on Aristotle’s concept of power or potentiality, which she sees as having a physicalistic meaning originating in the problem of movement. De Groot identifies the source of early mechanical knowledge in kinesthetic awareness of mechanical advantage, showing the relation of Aristotle’s empiricism to more ancient experience. The book sheds light on the classical Greek understanding of imitation and device, as it questions both the claim that Aristotle’s natural philosophy codifies opinions held by convention and the view that the cogency of his scientific ideas depends on metaphysics. (shrink)

Examples are presented of Aristotle’s use of non-idealized mathematics. Distinctions Husserl makes in Crisis help to delineate the features of this empiricalmathematics, which include the non-persistence of mathematical aspects of things and the selective application of mathematical traits and proper accidents. In antiquity, non-abstracted mathematics was involved with practical sciences that treat motion. The suggestion is made that these sciences were incorporated by Aristotle into natural philosophy without first being abstracted as pure mathematics—a state of affairs not envisioned by Husserl, (...) for whom science recast natural ontology by means of the idealization of pure mathematics. The relation of empirical mathematics to life-world ontology is considered. (shrink)

Modern commentators have doubts about the authenticity and cogency of the early propositions of Archimedes’ On Equilibrium of Planes Book 1. Ernst Mach famously said that the proof of Prop. 6, the so-called law of the lever, assumes what is to be proven. Comparing the initial text in Heiberg’s modern edition (1881, 1913) to the first propositions in Eutocius’ commentary on EP 1, J. L. Berggren ([1976]. ‘Spurious Theorems in Archimedes’ Equilibrium of Planes: Book I’, Archive for History of Exact (...) Sciences 16.2 (1976), 87–103.) claimed that the propositions up through Proposition 3 of the standard modern edition are schoolbook additions written by an ancient author inferior to Archimedes. The present paper argues for the logical connectedness of Postulates 1–5 to Props. 1–6, by means of a detailed examination of the course of the argument and a re-examination of Eutocius’ remarks. The paper reinterprets the role of the empirical in the early propositions and offers a reading of the contribution of Archimedes’ mechanics to the method of EP 1. (shrink)

This paper traces the significance of first principles in Greek philosophy to cognitive developments in colonial Greek Italy in the late fifth century BC. Conviction concerning principles comes from the power to make something true by action. Pairing and opposition, the forerunners of metonymy, are shown to structure disparate cultural phenomena—the making of figured numbers, the sundial, and the production, with the aid of device, of fear or panic in the spectators of Greek tragedy. From these starting points, the function (...) of the gnômôn in knowledge is explored. (shrink)

QUINE'S DOCTRINE of the indeterminacy of translation is made possible by the principle of substitution characteristic of extensional logic. The same characteristic makes it impossible, in philosophy of science, to choose among theoretical models no one of which is obviously best suited to explain the facts. Hilary Putnam achieved a sort of closure to the problem of reference in philosophy of science, when he pointed out the implications of the Skolem-Löwenheim theorem. He said that besides the facts a theory is (...) designed to explain, there are any number of unintended interpretations of the same theory that assign the correct truth values to all sentences of the theory. There can be no sound basis for deciding upon the sole interpretation for a theory. Following Putnam, some philosophers have abandoned the problem of reference in the context of axiomatic systems. Ian Hacking, for instance, prefers a notion of reference "that is not tied by any specific, binding theory about what is referred to." He has turned to the study of approximations and practical models, spurred on by the difficulty of reconciling axiomatic systems to scientific practice. (shrink)

It is shown that Aristotle’s references to automata in his biological treatises are meant to invoke the principle behind the ancient conception of the lever, i.e. that points on the rotating radius of a circle all move at different speeds proportional to their distances from the center. This principle is mathematical and explains a phenomenon taken as whole. Automata do not signify for him primarily a succession of material movers in contact, the modern model for mechanism. For animal locomotion and (...) embryological development, Aristotle models his dunamis concept on the idea of mechanical potential that the lever principle displays. (shrink)

Originally published in 1991. Philoponus’ long commentary on Aristotle’s definition of light sets up the major concerns, both in optics and theory of light, that is discussed here. Light was of special interest in Neoplatonism because of its being something incorporeal in the world of natural bodies and therefore had a special role in the philosophical analysis of the interpenetration of bodies and also as a paradigm for the soul-body problem. The material investigated in this book contains much about the (...) physiology of vision as well as the propagation of light. Several chapters investigate the philosophical theory and its origins in ‘multiplication of species.’ These issues in the history of science philosophy are looked at further and an analysis is offered of the development of the distinction between Aristotle’s kinesis and energeia. The book covers a substantial amount of the philosophy of mathematical science from the point of view of Philoponus, drawing on more of his works relating to three dimensionality. (shrink)

"This book collects essays by leading scholars, both American and European, on the American understanding of nature from Emerson to Dewey and beyond. The volume features essays on Emerson and Thoreau, Royce, Peirce, Wright, James, Holmes, Tocqueville, and Dewey. Topics include the role of nature in American idealism, the influence of Darwin, naturalism in psychology, and human nature in political thought. The final essay presents a comprehensive taxonomy of views of nature in relation to expressions of nature in American art." (...) "With its focus on philosophy of nature, this book fills a gap in the ongoing reassessment of nineteenth-century American philosophy, and it opens the way to further study of the role played by reflection on nature in the emergence of the American mind."--Jacket. (shrink)

QUINE'S DOCTRINE of the indeterminacy of translation is made possible by the principle of substitution characteristic of extensional logic. The same characteristic makes it impossible, in philosophy of science, to choose among theoretical models no one of which is obviously best suited to explain the facts. Hilary Putnam achieved a sort of closure to the problem of reference in philosophy of science, when he pointed out the implications of the Skolem-Löwenheim theorem. He said that besides the facts a theory is (...) designed to explain, there are any number of unintended interpretations of the same theory that assign the correct truth values to all sentences of the theory. There can be no sound basis for deciding upon the sole interpretation for a theory. Following Putnam, some philosophers have abandoned the problem of reference in the context of axiomatic systems. Ian Hacking, for instance, prefers a notion of reference "that is not tied by any specific, binding theory about what is referred to." He has turned to the study of approximations and practical models, spurred on by the difficulty of reconciling axiomatic systems to scientific practice. (shrink)

In the introduction to An Approach to Aristotle’s Physics, David Bolotin presents an exceptionally clear account of the difficulties of making a claim for Aristotle’s natural philosophy as a contemporary teacher about nature. Modern science has repudiated the chief elements of the Aristotelian cosmos—the geocentric universe, the account of projectile motion—and so the contemporary interpreter treats Aristotle as a brilliant expositor of the world “as it appears.” Alternatively, the interpreter may say there is no final truth in the matter of (...) nature, so Aristotle’s cosmos within its own perspective was as compelling as our modern science is within its own perspective. Neither of these interpretations suits Aristotle, Bolotin says, since the philosopher’s conception of science included its being a true account of nature itself. (shrink)

El desafío actual de la posverdad que amenaza el funcionamiento de la democracia surge desde los límitesde nuestro conocimiento y la interferencia de las emociones y los valores. Dos corrientes comunes, la ética del discurso, y la política agonista, son insuficientes para resolver este desafío. En la comprensión de la política de Aristóteles estos dos elementos ya estaban presentes. Él presenta a la política como un campo de saber determinado no exclusivamente por el saber, sino al mismo tiempo por los (...) límites del saber y por el cargo emotivo.El objetivo de este artículo es proponer una concepción contemporánea de un discurso político phronético,incorporando las características clave de una phronesis aristotélica. La hipótesis es que un discurso políticophronético contemporáneo no se puede fundar en el bien, ya que la pluralidad de las concepciones del bien es lo que separa la política moderna de los tiempos aristotélicos. En su lugar, y siguiendo a los debates en la ética neo-aristotélica, se debería buscar el fundamento en el desarrollo del carácter de los (futuros) participantes en dicho discurso. Por consiguiente, la educación es el punto de partida esencial para reforzar las capacidades y los hábitos de los participantes del discurso a fin de mejor manejar, en la medida de lo posible, las limitaciones de nuestro conocimiento y nuestro compromiso personal con el campo político. (shrink)

Positive monotone modal logic is the negation- and implication-free fragment of monotone modal logic, i.e., the fragment with connectives and. We axiomatise positive monotone modal logic, give monotone neighbourhood semantics based on posets, and prove soundness and completeness. The latter follows from the main result of this paper: a duality between so-called \-spaces and the algebraic semantics of positive monotone modal logic. The main technical tool is the use of coalgebra.

A social scientific survey on visions of human/nature relationships in western Europe shows that the public clearly distinguishes not only between anthropocentrism and ecocentrism, but also between two nonanthropocentric types of thought, which may be called “partnership with nature” and “participation in nature.” In addition, the respondents distinguish a form of human/nature relationship that is allied to traditional stewardship but has a more ecocentric content, labeled here as “guardianship of nature.” Further analysis shows that the general public does not subscribe (...) to an ethic of “mastery over nature.” Instead, practically all respondents embrace the image of guardianship, while the more radical relationships of partnership and participation also received significant levels of adherence. The results imply that ethicists should no longer assume that the ethics of the public are merely anthropocentric. Finally, they call into question the idea of a single form of ecocentrism and favor a hermeneutic virtue ethics approach to the study of the interface between ethics and action. (shrink)

In the Netherlands, consent from relatives is obligatory for post mortal donation. This study explored the perspectives of relatives regarding the request for consent for donation in cases without donor registration. A content analysis of narratives of 24 bereaved relatives of unregistered, eligible, brain-dead donors was performed. Relatives of unregistered, brain-dead patients usually refuse consent for donation, even if they harbour pro-donation attitudes themselves, or knew that the deceased favoured organ donation. Half of those who refused consent for donation mentioned (...) afterwards that it could have been an option. The decision not to consent to donation is attributed to contextual factors, such as feeling overwhelmed by the notification of death immediately followed by the request; not being accustomed to speaking about death; inadequate support from other relatives or healthcare professionals, and lengthy procedures. Healthcare professionals could provide better support to relatives prior to donation requests, address their informational needs and adapt their message to individual circumstances. It is anticipated that the number of consenting families could be enlarged by examining the experience of decoupling and offering the possibility of consent for donation after circulatory death if families refuse consent for donation after brain-death. (shrink)

Millions of human biological samples are stored worldwide for medical research or treatment purposes. These biospecimens are of enormous potential value to law enforcement as DNA profiles can be obtained from these samples. However, forensic use of such biospecimens raises a number of ethical questions. This article aims to explore ethical issues of using human bodily material in medical biobanks for crime investigation and prosecution purposes. Concerns about confidentiality, trust, autonomy and justice will be discussed. We explore how to balance (...) these concerns against the importance of crime solving. Relevant case examples of forensic use of medical biobanks show that requests by law enforcement to access biobanks are handled in disparate ways. We identify some core ethical issues and conclude that further research on these issues is needed to provide ethical guidance. (shrink)

In their interesting paper, Susser and Cabrera (2024) apply the contextual integrity framework to brain data and mental privacy. This framework, developed by Nissenbaum (2009) and rooted in digital...

In recent years the cognitive science community has witnessed the rise of a new, dynamical approach to cognition. This approach entails a framework in which cognition and behavior are taken to result from complex dynamical interactions between brain, body, and environment. The advent of the dynamical approach is grounded in a dissatisfaction with the classical computational view of cognition. A particularly strong claim has been that cognitive systems do not rely on internal representations and computations. Focusing on this claim, we (...) take as a starting point a question recently raised by Cliff and Noble: " if evolution did produce a design that used internal representations, how would we recognize it?" (Knowledge-based vision and simple visual machines, Philosophical Transactions of the Royal Society: Biological Sciences, 352 , 1165-1175, 1997). We will argue that cognitive science lacks a proper operationalization of the notion of representation, and therefore is unable to fruitfully discuss whether a particular system has representations or not. A basic method to detect representations in a physical system, grounded in isomorphism, turns out to be quite unconstrained. We will look at a practical example of this problem by examining the debate on whether or not van Gelder's (What might cognition be, if not computation? Journal of Philosophy, 92 , 345-381, 1995) controversial example of the Watt Governor is representational. We will conclude that cognitive science, as of yet, has no empirically applicable means to answer Cliff and Noble's question unequivocally. This makes the recent representationalism vs. anti-representationalism debate a debate for the sake of appearance. (shrink)

International treaties, conventions and declarations have been developed in an attempt to establish a world in which people s basic rights and needs are provided for. An increasing number of states have ratified and incorporated them into their national legislations. But are such norms and values truly universal? And with states no longer being the only actors that shape global developments, what can be said about the role of social contracts between state and society for shaping the agenda of international (...) cooperation? And how do these social contracts develop in heterogeneous societies? If people themselves are the main drivers behind development, what does this imply for foreign aid?These and other questions are addressed in "Global Values in a Changing World," the 2010-2011 lecture series organized by the Netherlands Chapter of the Society for International Development. This volume combines views and recommendations by international experts, academics, and activists, and analyzes the connection between internationally agreed norms, standards, goals, and common goods, and the way they can be realized in a world that is both globalized and localized.". (shrink)

This study investigates the likelihood of director turnover following opportunistic insider selling. Given that opportunistic insider selling may be costly to a firm due to potential legal risk and firm legitimacy concerns, we hypothesize that directors engaging in this type of transactions have a higher likelihood of subsequently leaving the board. Using archival data of 11,409 directors in 2280 US firms from 2005 to 2014, univariate comparisons show that directors engaging in opportunistic insider selling are about 8% more likely to (...) exit their firms’ board compared to directors not engaging in this behavior. Furthermore, multivariate results show that the likelihood of director departure following opportunistic insider selling is higher for some directors but not all. Specifically, directors who are especially valuable to the board or costly to replace do not seem to experience elevated levels of turnover. Interestingly, this difference in director turnover is only observed in smaller firms. We find that in larger firms, the likelihood of director turnover following opportunistic insider selling does not depend on director characteristics. As such, results seem to suggest that boards do not homogeneously self-regulate in this context as some directors seem to be shielded from turnover following unethical behavior. (shrink)

Building on Ben-Avi and Winter’s (2007) work, this paper provides a general “intensionalization” procedure that turns an extensional semantics for a language into an intensionalized one that is capable of accommodating “truly intensional” lexical items without changing the compositional semantic rules. We prove some formal properties of this procedure and clarify its relation to the procedure implicit in Montague’s (1973) PTQ.