O infinito – Ou por que o infinito é um limão

Autores

  • Christoph Asmuth Augustana Hochschule Neuendettelsau

Resumo

This article presents some of the philosophical reflections concerning the nature of mathematical infinity set out by Lazarus Bendavid in 1789. These reflections are highly important inasmuch as they show Bendavid’s attempt to elucidate Euler’s contribution to the theoretical and algebraic completion of infinitesimal calculus, now interpreted by means of the categorical apparatus developed by Kant in the logical core of the Critique of pure Reason. The passage from finite to infinity, from quantity to quality, from extensive to intensive magnitudes are here elucidated, shedding some light into possible inspirations for especially Schelling and Hegel in their own reflections concerning mathematical infinity.

Referências

BENDAVID, L. Versuch einer logischen Auseinandersetzung des Mathematischen Un-endlichen, Berlin: Petit und Schöne, 1789

BENDAVID, L. Vorlesungen über die Critic der reinen Vernunft. 2. Ed. Berlin: Quien, 1802

BINKELMANN, C. i – oder warum das Imaginäre das eigentlich Irrationale ist. In: Asmuth, Ch.; Neuffer, S. G. (Org.). Irrationalität. Würzburg: K&N, 2015

HEGEL, G.W.F. Der Geist des Christentums und sein Schicksal. In: Werke [in 20 Bän-den], Band 1: Frühe Schriften. Frankfurt am Main: Suhrkamp, 1990

STERN, S. Der preußische Staat und die Juden. Zweiter Teil: Die Zeit Friedrich Wil-helms I, Erste Abteilung: Darstellung. Tübingen: JCB Mohr, 1962

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Publicado

2020-12-31