Neoclassical economic theory in its pretensions to scientific status is founded on one of the variants of a now discredited positivism. Neoclassical economic theory claims that there are two distinct areas of economic research: positive economics and normative economics. The former is assumed to deal with the cognitive as scientific content of economics while the later focuses on welfare or equity issues. I argue that the reliance of the whole theoretical structure of economics on the normative postulate of rationality renders (...) neoclassical economics a normative discipline. I also argue that neoclassical economics should thus be viewed as an instance of applied ethics rather than as applied mathematics, say. Finally, it is suggested that neoclassical economics, if its scientific pretensions are to be taken seriously, should be absorbed theoretically into general anthropology. (shrink)

Carole Pearce's argument against African philosophy is founded on a set of factual flaws and the fallacious assumption that African philosophy is equivalent to ethnophilosophy, which she defines as a form of intellectual apartheid founded on irrational belief systems. I argue that African philosophy is in no way qualitatively different from, say, French or Chinese philosophy, and that ethnophilosophy is merely one aspect of it But ethnophilosophy could play the important role of critically evaluating African ethnic belief systems and the (...) interpretation of such by Western anthropologists. In general, African philoso phy is nothing more than the philosophical research (of whatever order) carried out by African philosophers in the context of African research paradigms. (shrink)

La notion de risque est mal comprise. Elle est intrinsèquement liée à notre perception de ce qu’est le hasard, aux peurs et aux biais cognitifs résultants de notre histoire individuelle et collective. Dans un monde de plus en plus chaotique, soumis au dictat du temps et avide d’émotions, il est dangereux de voir dans les chiffres et les algorithmes de nouveaux oracles. Accompagnant l’éducation au discernement, la confiance est un élément vital de la gouvernance dans le changement de paradigme qui (...) nous traverse. Car si la prévention est salutaire, la précaution, établie comme principe, ouvre la voie à des obscurantismes. Familier des chiffres et des usages du système d’information, nous proposons dans une première section des éléments de lecture pour comprendre que ce qui compte avant tout dans la gouvernance, c’est ce que l’on souhaite voir advenir. Une seconde section est l’occasion de toucher du doigt les limites des chiffres et du bon sens à travers un exemple pédagogique sur le questionnement du dépistage systématique, qui a agité, un temps, les débats pendant la gestion de la pandémie de la Covid-19 en France en ce début d’année. (shrink)

Much of the mathematics with which Felix Klein and Sophus Lie are now associated (Klein’s Erlangen Program and Lie’s theory of transformation groups) is rooted in ideas they developed in their early work: the consideration of geometric objects or properties preserved by systems of transformations. As early as 1870, Lie studied particular examples of what he later called contact transformations, which preserve tangency and which came to play a crucial role in his systematic study of transformation groups and differential equations. (...) This note examines Klein’s efforts in the 1870s to interpret contact transformations in terms of connexes and traces that interpretation (which included a false assumption) over the decades that follow. The analysis passes from Klein’s letters to Lie through Lindemann’s edition of Clebsch’s lectures on geometry in 1876, Lie’s criticism of it in his treatise on transformation groups in 1893, and the careful development of that interpretation by Dohmen, a student of Engel, in his 1905 dissertation. The now-obscure notion of connexes and its relation to Lie’s line elements and surface elements are discussed here in some detail. (shrink)

L. D. Harris; IV*—Solving the “Naval Battle”, Proceedings of the Aristotelian Society, Volume 78, Issue 1, 1 June 1978, Pages 45–62, https://doi.org/10.1093/ari.

L. D. Harris; IV*—Solving the “Naval Battle”, Proceedings of the Aristotelian Society, Volume 78, Issue 1, 1 June 1978, Pages 45–62, https://doi.org/10.1093/ari.

Provability logics with many modal operators for progressions of theories obtained by iterating their consistency statements are introduced. The corresponding arithmetical completeness theorem is proved.

A general equation is derived describing the concentration of all possible complexes of a central molecule with a set of ligands bound to the central molecule. This deduction allows the reaction rate constants for the binding of a given molecule to the central molecule to depend on the species of molecules already bound and the location of the molecules already bound. The model thus allows for structural alteration of the central molecule by binding. Functions describing the concentration dependence of any (...) effect whatever depending on the distribution of complexes are deduced. Possible applications and methods of application are indicated.II est dérivé une équation qui décrit la concentration des toutes les complexes d'une molécule centrale avec une collection de ligands connectés à la molécule centrale. La déduction montre comme les coefficients de la rapidité de reaction entre la molécule centrale et les molécules de la collection dépend de l'espèce et de la location des molécules déjà connectées.La modèle dérivée de l'équation montre les changements structurelles par la connection. Les functions qui décrivent la dependence de chaque effet à la concentration, sont dérivés. Ces effects dépendent aussi à la distribution des complexes. Des applications et des méthodes sont indiqués.Eine allgemeine Vergleichung hat man bekommen welche die Konzentration aller möglichen Komplexen eines zentralen Moleküles mit einer Reihe von „Ligands” verbunden mit dem zentralen Molekül beschreibt. Diese Folgerung gestattet dass die Reaktiongeschwindigkeit Konstanten für die Bindung eines gegebenen Moleküles mit dem zentralen Molekül abhÄngt von den Arten schon gegebenen Molekülen und die Ortsbestimmung der schon gebundenen Molekülen. Das Model zeigt die strukturelle Änderungen des zentralen Moleküls durch Bindung. Funktionen, die die Konzentrationband jedes Effektes beschreiben dass abhÄngt von der Distribution der Komplexen, sind abgeleitet.Mögliche Anwendungen und Methoden von Anwendung sind dargelegt. (shrink)

Clocks and Rulers Play Tricks. 6. Work Changes Mass. 7. Summing Up. Index. Unabridged republication of the edition published by Basic Books, Inc.

1. 4. 9. Fugite delicias, fugite enervantem felicitatem, qua animi permadescunt et, nisi aliquid intervenit quod humanae sortis admoneat, †velut perpetua ebrietate sopitif†. Although it is possible to produce a tolerable sentence by deleting et after permadescunt, it is generally agreed that a verb is missing in the last clause. Koch suggested sopiti, Gertz sopiti (...) manent Hermes, vivunt Schultess, languent Viansino. One would hesitate to add to the growing clutter of suggestions, did not one of Seneca's favourite verbs seem to meet all requirements, namely marcent. Cf. ben. 4. 6. 3 ‘quies in qua putrescis ac marces’; 4. 13. 1 ‘vobis voluptas est… securitatem sopitis simillimam adpetere e t … animi marcentis oblectare torporem’; dial. 1. 3. 10 ‘hunc voluptatibus marcidumet felicitate nimia laborantem’; 9. 2. 6; 10. 2. 2; epist. 74. 1; 89. 18 et al. (shrink)