Archiv der Kategorie: Mathematik

Serres: La méthode structurale

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„[L]e système de l’harmonie marque l’introduction en philosophie de la méthode structurale.” (p. 5) #Serres #système #harmonie #MéthodeStructurale

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Serres, Michel, Le système de Leibniz et ses modèles mathématiques. Étoiles -Schémas - Points. Paris: PUF 42001. 834 S.

Chen: Networks and graphs

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“Networks, or graphs (a collection of nodes with edges connecting them), have long been studied in a prolific branch of mathematics known as “graph theory” and are often used by scientists to model the structure of many complex systems, ranging from technological systems and biological systems to social systems and economic systems. Human beings are surrounded by a variety of different types of networks.” (p. 1) #Chen #Network #graph #mathematics #structure #system

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Chen, Wei, Explosive Percolation in Random Networks. Berlin/Heidelberg: Springer 2014. 63 S.

Guyon et al.: Percolation

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“On parle alors de percolation d’invasion, par référence au modèle mathématique de la percolation qui décrit des effets de connectivité dans des réseaux.” (p. 273) #Guyon #percolation #connectivité #réseaux

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Guyon, Étienne/Pedregosa, Alice/Salviat, Béatrice, Matière et matériaux. De quoi est fait le monde? (Pour la Science). Paris: Belin 2010.

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

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

Neu :: Bauer/Damschen/Siebel: Paradoxien

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“Paradoxien rufen Staunen, Verwirrung und die Lust am Außergewöhnlichen hervor. Aber nicht nur das: Es sind Paradoxien, die bis heute auf Grundprobleme der Philosophie, der Mathematik sowie der Naturwissenschaften hinweisen und uns zu revolutionären Lösungsvorschlägen herausfordern.
Einige Paradoxien markieren dabei vielleicht sogar unüberwindbare Grenzen unseres Wissens. Dieser Band stellt eine Reihe der wichtigsten Paradoxien – Paradoxien der Wahrheit, des Infiniten, der Bestätigung, der Vagheit, der Quantenmechanik, der Zeit, des Visuellen und des Auditiven – sowie Überlegungen zu allgemeinen Lösungswegen aus einer analytisch-philosophischen Perspektive vor. Dabei richtet er sich an interessierte Einsteiger in die Thematik, ohne den Gegenstand dabei zu sehr zu verkürzen.” #Bauer #Damschen #Siebel #Paradoxien

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Bauer, Alexander Max/Damschen, Gregor/Siebel, Mark (Hgg.), Paradoxien: Grenzdenken und Denkgrenzen von A (llwissen) bis Z (eit). Paderborn: Brill | Mentis 2023. 250 S., ISBN 978-3-95743-251-3.