Résumé — Alexandre d’Aphrodise a été étudié plus intensément en Europe continentale que dans le monde anglophone. Cet article s’interroge sur les raisons culturelles d’un tel fait. L’une des raisons de l’étude de la philosophie antique en général dans le monde anglophone est la volonté de montrer qu’elle est reliée, et peut rendre service, à des débats philosophiques contemporains. Un cas emblématique nous est fourni par le débat concernant le libre arbitre et le déterminisme. Susanne Bobzien a défendu la thèse (...) qu’alors que les termes du débat contemporain peuvent être décelés au IIe siècle après J.-C., et en particulier dans le traité d’Alexandre Sur le destin, il serait anachronique de les faire remonter à la période hellénistique. La partie finale du présent article se penche sur la façon dont elle rend compte de l’approche post-hellénistique de la question, vue comme le développement, à partir d’un certain nombre de textes aristotéliciens, d’une nouvelle doctrine de la contingence, reflétée dans une série de textes généralement décrits comme médioplatoniciens. On se demande, finalement, quelle relation il faut supposer entre ce développement et les changements, dans la forme et dans le fond, du déterminisme stoïcien.L’accident du déterminisme— Alexander of Aphrodisias has been studied more intensively in continental Europe than in the English-speaking world. This paper examines the cultural reasons for this. One factor in the study of ancient philosophy generally in the English-speaking world is the pressure to show that it relates to, and can be of service in, contemporary philosophical debates. One such case is the debate concerning free-will and determinism. Susanne Bobzien has argued that while the terms of the contemporary debate can be recognised in the second century AD, and in particular in Alexander’s treatise On Fate, it is anachronistic to read them back into the Hellenistic period. The latter part of the present paper examines her account of the origin of the new approach to the question in the development from a number of Aristotelian texts of a new account of contingency, reflected in a range of texts commonly described as Middle Platonist, and asks what relation we should suppose between this development and changes in the formulation and conception of Stoic determinism. (shrink)

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.

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)

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)

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)

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.

Scepticism about ought simpliciter is the view that there is no such thing as what one ought simpliciter to do. Instead, practical deliberation is governed by a plurality of normative standpoints, each authoritative from their own perspective but none authoritative simpliciter. This paper aims to resist such scepticism. After setting out the challenge in general terms, I argue that scepticism can be resisted by rejecting a key assumption in the sceptic’s argument. This is the assumption that standpoint-relative ought judgments bring (...) with them a commitment to act in accordance with those judgments. Instead, I propose an alternative account of our normative concepts according to which only ought simpliciter judgments commit one to acting in accordance with those judgments. In addition to answering the sceptical challenge, the proposal offers an independently motivated account of what makes a concept normatively authoritative. (shrink)

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)