Titlebook: Logos and Alogon; Thinkable and the Un Arkady Plotnitsky Book 2022 The Editor(s) (if applicable) and The Author(s), under exclusive license

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,“Comprehending the Connection of Things”: Bernhard Riemann and Conceptual Thinking in Mathematics,a brief introduction in Sect. 3.1 and a general outline of the argument in Sect. 3.2, Sect. 3.3 considers Riemann’s concept of manifold [.], and Riemann’s understanding of space and geometry, grounded in this concept. Section 3.4 discusses the relationships between mathematics and physics in Riemann

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What Is a Curve?: A Pythagorean Essay,lows that of this study in general. While invoking earlier historical junctures, the history of the idea of a curve considered here extends from the mathematics at the rise of modernity, especially analytic geometry and calculus, with main attention given to Fermat and Descartes. Then, it moves to R

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,“To Create More Worlds”: Mathematical Practice as Philosophy,erging in and defining actual mathematical thinking and practice, as exemplified in three cases: Niels Henrik Abel and Évariste Galois, Nikolai Lobachevsky and Bernhard Riemann, and André Weil and Alexander Grothendieck. I speak of “and” and hence “conjunction,” rather than the disjunctive “or,” in

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Arkady Plotnitskygigkeit und Freiheit alleine lockt heute in der westlichen Hemisphäre aber niemanden mehr in den urbanen Lebensraum. Das liegt nicht daran, dass schon alle dort leben würden – selbst in der EU leben noch 56 % der Bevölkerung im ländlichen Raum (EU 2007: 9) – sondern dass selbst vom platten Land aus

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