Braudel: Les modèles intemporels

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„A la limite, comme diraient les mathématiciens, ce genre de modèle rejoindrait les modèles favoris, quasi intemporels, des sociologues mathématiciens. Quasi intemporels, c’est-à-dire, en vérité, circulant par les routes obscures et inédites de la très longue durée.“ (p. 742) #Braudel #modèle #intemporel #TrèsLongueDurée

Braudel, Fernand, Histoire et sciences sociales. La longue durée, in: Annales 18 (1958), 725–753.

Auffray: Spacetime and Continuity

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“Further on in this paper we investigate the significance of the concept of continuity, concluding that it should not be retained as a fundamental characteristic of space in general and of spacetime(s) in particular.” (p. 1428) #Auffray #continuity #spacetime

Auffray, Jean-Paul, E-Infinity Dualities, Discontinuous Spacetimes, Xonic Quantum Physics and the Decisive Experiment, in: Journal of Modern Physics 5 (2014), 1427–1436.

Hammersley: Crystals

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“We deal with atoms and bonds: a bond is a (perhaps directed) path between two atoms. An n-stepped walk is an ordered connected path along n consecutive bonds, each step being in the permitted direction of a bond (if the bond in question is directed) and starting from the atom reached by the previous step (if any). Wn(A) denotes a typical n-stepped walk starting from an atom A. A walk is self-avoiding if it visits no atom more than once. Sn(A) denotes a self-avoiding Wn(A). Two walks are distinct if they do not utilize the same set of bonds, with due regard to order. fA(n, r) denotes the number of distinct Wn(A), each of which can be broken into r or fewer self-avoiding subwalks. In particular we write fA(n) =fA(n, 1) for the number of distinct Sn(A). Two atoms A and B are outlike if fA(n) = fB{n) for all n. An outlike class is a class of pairwise outlike atoms. A crystal is an infinite set of atoms and bonds satisfying the three postulates” (p. 642) #Hammersley #atom #bond #walk #crystal

Hammersley, John M., Percolation processes. II. The Connective Constant, in: Mathematical Proceedings of the Cambridge Philosophical Society 53 (1957), 642–645.

Gueroult: La réalité du mouvement

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“La réalité du mouvement est attribuée aux corps en proportion du degré de leur force vive.” (p. 158) #Gueroult #réalité #corps

Gueroult, Martial, Leibniz. Dynamique et métaphysique suivi d’une Note sur le principe de la moindre action chez Maupertuis. Paris: Aubier - Montaigne 1967.

Wildgen: Continu et discontinu

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“Toutefois l’opposition entre continu et discontinu (discret) contient une aporie épistémologique” (p. 2) #Wildgen #continu #discontinu #aporie

Wildgen, Wolfgang, Le problème du continu/discontinu dans la sémiophysique de René Thom et l’origine du langage. The Distinction between Continuousness and Discontinuousness in René Thom’s „Semiophysics“ and the Origin of Language, in: Cahiers de praxématique 42 (2004), 1–16.