Nach einer allgemeinen Diskussion des Zusammenhanges zwischen theoretischer und experimenteller Forschung, wird in Hinblick auf die vom Verfasser entwickelten physikalisch-mathematischen Grundlagen der Biologie, eine Reihe von Einzelproblemen betrachtet. Es wird an Hand von Kurvenmaterial gezeigt wie weit die mathematisch vorausgesagten Beziehungen mit den experimentellen Befunden übereinstimmen. Folgende Fragen werden besprochen: Zellatmung, Zellgrössen, deren Abhängigkeit von Stoffwechsel, Zellteilung, Protoplasmaströmungen, Nervenerregung, psychophysische Gesetze, Reaktion auf geometrische Gestalten.Après une mise au point générale de la relation entre les sciences théoriques et expérimentales, diverses questions (...) sont discutées, du point de vue des fondations physico-mathématiques de la biologie, développées récemment par l'auteur. On montre par la comparaison des courbes calculées à celles observées, comment les relations prédites mathématiquement se trouvent vérifiées. Les questions suivantes sont discutées: respiration cellulaire, dimensions cellulaires et leur rapport au métabolisme, division cellulaire, mouvements protoplasmiques, excitation nerveuse, les lois psychophysiques, perception des formes géométriques. (shrink)

Mathematical methods in biology occupy a somewhat peculiar position, and the attitude of many biologists toward them is similar to that of many practical engineers toward what is called pure scientific research. The modern progressive engineer recognizes the value of pure science, which seeks for truth regardless of any possibility of practical applications; yet he still frequently shows a definite dislike towards such investigations. The whole history of civilization demonstrates that discoveries which, at the time they were made, did not (...) show any signs of the possibility of being turned into practical use, now lie at the basis of many useful engineering devices. As Professor R. A. Millikan has said, we owe our present-day civilization to Galileo. Every educated person, be he pure scientist or engineer, recognizes this fact. And yet the frame of mind of the “practical” man is not too receptive to investigations which do not show at least some remote prospects of practical applications. Unless he can see at least hypothetically some practical results of such research, he will not give it his whole-hearted enthusiasm. The ultimate criterion in the evaluation of any research still remains its practical use. Those pure scientists who have had close contact with what is called “industrial research” know only too well the truth of the above statement. (shrink)

Auf Grund der Vorstellung, dass die Erregungsleitung auf einer Wiedererregung der benachbarten Gewebebezirke durch lokale bioelektrische Ströme beruht, wurde vorher eine mathematische Theorie der Fortpflanzung der Erregung im Nerv entwickelt, welche einige Tatsachen befriedigend darstellt. In der vorliegenden Arbeit wird die Theorie auf den Fall angewandt, dass die Erregung von einem Gewebe auf ein anderes übertragen wird, wobei die beiden Gewebe verschiedene elektrische Eigenschaften haben. Es zeigt sich, dass dabei gewisse Bedingungen für die Möglichkeit der Übertragung der Erregung erfüllt sein (...) müssen, welche an den vonL. Lapique geforderten Isochronismus erinnern.Dans deux mémoires précédents nous avons développé une théorie mathématique de la propagation de l'excitation nerveuse, basée sur l'hypothèse, que cette propagation est due à une réexcitation par les courants bioélectriques. Dans le mémoire présent nous étudions le cas de deux tissus adjacents, différents dans leurs constantes électriques, du point de vue du passage de l'excitation d'un tissu sur l'autre. Il se trouve, que pour que ce passage put avoir lieu, certaines relations doivent être satisfaites, des relations qui rappellent l'isochronisme postulé parL. Lapique. (shrink)

In studying various possible physico-chemical interpretations of biological phenomena we arrived by a systematical development of what we have called “Mathematical Biophysics” at the interpretation of even such complex phenomena, as those involved in learning, Gestalt-discrimination and Gestalt-transposition. Yet, in spite of the apparent progress made along this newly trodden road, a sophisticated mind may feel that we are advancing into a peculiar “cul-de-sac.” Indeed we are discussing possible physico-chemical mechanisms underlying the discrimination, recognition and constancy-properties of various spatial forms. (...) Yet we have not touched at all the much more fundamental question, which logically precedes all the above, namely, what can be the physicochemical interpretation of the general and primordial fact that we perceive those forms as spatial? Can we conceive any physicochemical model at all, which would illustrate how and why we experience everything as being in space? (shrink)

Das Vorhandensein bilateraler Asymmetrie bei Organismen ist an und für sich biophysikalisch verständlich. Schwierigkeiten entstehen jedoch beim Versuch die auffallende Ungleichheit in den Häufigkeiten des Vorkommens von Rechts- und Linksasymmetrie biophysikalisch zu deuten. Es werden zwei Möglichkeiten für solch'eine Deutung besprochen. Die eine stützt sich auf die fundamentale Asymmetrie des elektromagnetischen Feldes, und wird als biologisch weniger geeignet angesehen. Die andere, welche dem Verfasser als wahrscheinlicher erscheint, beruht auf der Asymmetrie der organischen Moleküle.L'existence d'une asymétrie bilaterale en général chez des (...) organismes divers n'offre pas de difficulté particulière du point de vue biophysique. Mais les difficultés surgissent quand on tâche de comprendre l'inégalité très prononcée des cas d'asymétrie droite et gauche. Deux possibilités sont discutées dans ce mémoire. L'une repose sur l'asymétrie fondamentale du champs électromagnétique. Cette explication est considérée comme moins probable. Une autre explication qui nous apparaît plus probable, est fondée sur l'asymétrie moléculaire. (shrink)

Es wird einführungsweise zuerst auf den allgemeinen Zusammenhang zwischen theoretischer und experimenteller Forschung hingewiesen, insbesondere darauf, dass die theoretische Forschung dem Experimentator nicht nur neue Probleme stellt, sondern auch die Ergebnisse vieler Versuche sinnvoll macht, unabhängig davon, ob diese Ergebnisse positiv oder negativ ausfallen. — Danach wird ein kurzer Überblick über einige neuere Ergebnisse der mathematischen Biophysik gemacht und es werden einige fundamentale Probleme der Krebsforschung vom Standpunkte dieser Ergebnisse diskutiert. Es wird auf eine Reihe neuer möglicher Versuche hingewiesen, welche (...) im Lichte der mathematisch-biologischen Forschung wichtige Fragen über die Natur der Tumoren beantworten würden.A titre d'introduction la relation entre les recherches théoriques et expérimentales est soumise à une discussion générale. L'auteur souligne particulièrement la circonstance que les recherches théoriques donnent non seulement des nouveaux problèmes à l'expérimentateur, mais que ces recherches théoriques donnent de la significance aux résultats expérimentaux, même aux résultats négatifs. — Ensuite l'auteur donne une revue générale de quelques nouveaux résultats de la biophysique mathématique. Quelques problèmes fondamentales du cancer sont discutées du point de vue de ces résultats. Des nouvelles expériences possibles qui porteraient à notre connaissance du mécanique intime des tumeurs, sont proposées. (shrink)

In our previous writings we have outlined a mathematical theory of biological phenomena. In our systematic construction of “mathematical biology,” similar in its aims to mathematical physics, we have started with the fundamental unit,—the living cell. After having established a physico-mathematical theory of the fundamental properties of the cell, we have studied the interaction of several cells. This led us into two different fields. On the one hand we studied such interactions of cells, which determine the form of cellular aggregates, (...) constituting multicellular organisms. On the other hand we studied different types of functional interactions, which determine the reactions of the aggregate as a whole to different environmental changes. While the first field leads us eventually to the theory of organic form, the second brings us to the physico-mathematical theory of behavior. (shrink)

Following the general program, outlined in a previous paper on the Foundations of Mathematical Biophysics, we shall outline some physico-mathematical aspects of the Gestalt-problem. Faithful to the principles laid down before, we shall not attempt to give a theory of such and such psycho-physiological phenomena connected with our problem, but we shall investigate in a preliminary way the abstract conceptual basis, which must underlie the construction of any concrete theory. To make our aim quite clear and to avoid at the (...) same time unnecessary repetition, we refer the reader to our previous paper. Furthermore we shall give here only an outline of the physico-mathematical aspects; and of necessity we must leave a number of details untouched and unanswered. (shrink)

The Stanford Encyclopedia of Philosophy is an open access, dynamic reference work designed to organize professional philosophers so that they can write, edit, and maintain a reference work in philosophy that is responsive to new research. From its inception, the SEP was designed so that each entry is maintained and kept up to date by an expert or group of experts in the field. All entries and substantive updates are refereed by the members of a distinguished Editorial Board before they (...) are made public. (shrink)

Vol. presents a method for critically evaluating relevance in arguments based on case studies & a new relevance theory incorporating techniques of argumentation theory, logic & artificiaI intelligence. For scholars/students in argumentation & rhetoric.

When making decisions, humans can observe many kinds of information about others' activities, but their effects on performance are not well understood. We investigated social learning strategies using a simple problem-solving task in which participants search a complex space, and each can view and imitate others' solutions. Results showed that participants combined multiple sources of information to guide learning, including payoffs of peers' solutions, popularity of solution elements among peers, similarity of peers' solutions to their own, and relative payoffs from (...) individual exploration. Furthermore, performance was positively associated with imitation rates at both the individual and group levels. When peers' payoffs were hidden, popularity and similarity biases reversed, participants searched more broadly and randomly, and both quality and equity of exploration suffered. We conclude that when peers' solutions can be effectively compared, imitation does not simply permit scrounging, but it can also facilitate propagation of good solutions for further cumulative exploration. (shrink)

A "slippery slope argument" is a type of argument in which a first step is taken and a series of inextricable consequences follow, ultimately leading to a disastrous outcome. Many textbooks on informal logic and critical thinking treat the slippery slope argument as a fallacy. Walton argues that used correctly in some cases, they can be a reasonable type of argument to shift a burden of proof in a critical discussion, while in other cases they are used incorrectly. Walton identifies (...) and analyzes four types of slippery slope argument. Walton presents guidelines that show how each type of slippery slope argument can be used correctly or incorrectly, using over fifty case studies of argumentation on controversial issues. These include abortion, medical research on human embryos, euthanasia, the decriminalization of marijuana, pornography, and censorship, and banning of American flag burning. (shrink)

This collection of essays, which includes a revised version of a famous article on the "male lesbian," addresses such issues as race, gender, and sexuality, and explores the body as a physical, psychological, and cultural construct.

Vice crimes, crimes prohibited in part because they are viewed as morally corrupting, engage legal theorists because they reveal importantly contrasting views between liberals and virtue-centered theorists on the very limits of legitimate state action. Yet advocates and opponents alike focus on the role law can play in suppressing personal vice; the role of law is seen as suppressing licentiousness, sloth, greed etc. The most powerful advocates of the position that the law must nurture good character often draw on Aristotelian (...) theories of virtue to ground the connection between law and virtue. While Aristotle believed that law and character were linked, it is ironic to note that he did not argue for the position evidenced in our vice laws that law was likely to succeed in instilling virtue. Indeed, Aristotle thought the project of using law to instill private virtue was nearly certain to fail. Aristotle’s deep concern was not for the way law protected private virtue within each person but the way law had to protect civic virtue between citizens. This article argues that even from its foundations, the project of vice crimes as moral instruction is misconceived. The use of law for overly instrumental or narrow reasons opens law and legal institutions to abuse and factionalism. Lawyers, judges and others specially connected to law must first and foremost aim at addressing “legal vices,” vices internal to the institutions of law. Particularly, increasing factionalism and instrumentalism which disconnects law from the pursuit of the common good threatens our civic bonds. Most importantly, where civic bonds are disrupted, citizens have no reason to remain law abiding. The striking lesson, captured both in ancient philosophy and modern history, is that when legal vices grow unchecked and factions use the law to pursue narrow interests, ultimately law abidingness is corrupted and interest groups harm themselves as much as others. (shrink)

Science provides us with representations of atoms, elementary particles, polymers, populations, genetic trees, economies, rational decisions, aeroplanes, earthquakes, forest fires, irrigation systems, and the world’s climate. It's through these representations that we learn about the world. This entry explores various different accounts of scientific representation, with a particular focus on how scientific models represent their target systems. As philosophers of science are increasingly acknowledging the importance, if not the primacy, of scientific models as representational units of science, it's important to (...) stress that how they represent plays a fundamental role in how we are to answer other questions in the philosophy of science (e.g. the scientific realism debate). This entry begins by disentangling ‘the’ problem of scientific representation, before critically evaluating the current options available in the literature. (shrink)

The so-called ergodic hierarchy (EH) is a central part of ergodic theory. It is a hierarchy of properties that dynamical systems can possess. Its five levels are egrodicity, weak mixing, strong mixing, Kolomogorov, and Bernoulli. Although EH is a mathematical theory, its concepts have been widely used in the foundations of statistical physics, accounts of randomness, and discussions about the nature of chaos. We introduce EH and discuss its applications in these fields.

EDITORS' INTRODUCTION B he Vedas tell of a conversation between a young man, Shvetaketu, and his father concerning what the son had learned in his education ...

This article draws attention to the origins, forms, and implications of “toxic discourse” as a genre central to the understanding of the public sphere in business in society.RachelCarson'sSilentSpringis used as a pivotal cultural document establishing “toxic discourse” as an ongoing form of moral narrative rooted in the rationality of counterpublics. Toxic discourse is framed within a center/periphery model in which toxic discourse gains salience in periods of economic dislocation and uncertainty. In these periods, toxic discourse draws together those on the (...) periphery or counterpublics who otherwise would not unite in their opposition to the center. The article critically examines how stakeholder theory, despite making sense of the public sphere for agents of organizations, glosses counterpublics and relegates toxic discourse, as evident in the “Occupy Movement,” to the ephemeral role of temporary, disruptive protest groups with very little of substance to communicate. (shrink)

Mathematical pluralism can take one of three forms: (1) every consistent mathematical theory consists of truths about its own domain of individuals and relations; (2) every mathematical theory, consistent or inconsistent, consists of truths about its own (possibly uninteresting) domain of individuals and relations; and (3) the principal philosophies of mathematics are each based upon an insight or truth about the nature of mathematics that can be validated. (1) includes the multiverse approach to set theory. (2) helps us to understand (...) the significance of the distinguished non‐logical individual and relation terms of even inconsistent theories. (3) is a metaphilosophical form of mathematical pluralism and hasn't been discussed in the literature. In what follows, I show how the analysis of theoretical mathematics in object theory exhibits all three forms of mathematical pluralism. (shrink)

Many different and contradictory claims have been made about the political dimensions (or lack thereof) of the ancient Chinese text known as the Zhuangzi 莊子. The two main positions on this topic set the parameters of the debate. One interprets the Zhuangzi to be apathetic toward political participation, focusing on individual survival instead. The other emphasizes the text’s defiant streak and locates a deliberately subversive force within it. A third position redirects the focus of the debate to an important aspect (...) of the Zhuangzi, recognizing that the text intentionally embraces ambiguity and multivocality, and investigates the political implications of this characteristic of the text. This article further explores the Zhuangzi’s engagement with notions of social and political indeterminacy, but through the lens of role performance. Attending to the text’s portrayal of various social actors’ engagement with established roles reveals a different kind of polysemic stance that lies in the intricate dynamics between societal expectations and individual actions. The article employs these examples to examine a type of role enactment that I contend muddies the line between the place of power and the place of resistance. (shrink)