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Zahlen by Vojtech Kolman

Zahlen

by Vojtech Kolman
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Book cover type: Paperback
  • ISBN13: 9783110480887
  • Binding: Paperback
  • Subject: N/A
  • Publisher: de Gruyter
  • Publisher Imprint: de Gruyter
  • Publication Date:
  • Pages: 199
  • Original Price: USD 35.0
  • Language: German
  • Edition: N/A
  • Item Weight: 291 grams
  • BISAC Subject(s): Epistemology and History & Philosophy

Warum schon bei Platon die Zahlen und ihr gutes Verständnis einen speziellen Platz in der philosophischen Bildung einnehmen, ist zunächst ein Rätsel. Eine Aufhebung der zukunftsweisenden Leistungen der Pythagoräer besonders in der Harmonielehre gegenüber mystifizierendem Verständnis eines Pythagoräismus ist daher nach wie vor interessant, auch noch im Blick auf Freges 'drittes Reich' abstrakter Gegenstände oder Cantors Mengenlehre. Zahlen sind von philosophischem Interesse durch ihr enges Verhältnis zu den Formen von Rationalität und Sprache - und wegen der Möglichkeit, Aussagen nicht blo über Zahlen selbst, sondern auch über andere Verhältnisse durch Zahlen zu kodieren und dadurch zum Thema zu machen. Auf einfach nachvollziehbare Weise wird au erdem die Verschränkung von mathematischem Fortschritt, von Problemen und ihren Aufhebungen vorgeführt oder skizziert, etwa die Entdeckung inkommensurabler Grö enverhältnisse und das Rechnen mit infinitesimalen Grö en, Cantors Stufen des Unendlichen, Brouwers Intuitionismus, Gödels Unvollständigkeitsätze, u.a.m. Die Philosophie der Mathematik wird zum Lehrstück logischer Selbstreflexion überhaupt.

Kolman, Vojtech: - Vojtěch Kolman, Karls-Universität Prag, Tschechische Republik.

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