Anzahl, Zahl und Menge: Die phänomenologischen Grundlagen der Arithmetik (Paradeigmata 3) (German Edition) Book PDF, ePub eBook

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Book Descriptions:
Anzahlen sind immer Anzahlen von etwas, niemals nur Anzahlen von. Ausgehend von diesem einfachen Grundgedanken, erörtert Grote die Versuche, den Begriff der Anzahl auf die Möglichkeit des Zählens zu gründen und aus dieser Möglichkeit auf die Gegebenheit idealer Zahlen zu schließen. Sein Befund: das Wesen der Anzahl ist durch den Rekurs auf die Zahl nicht definierbar, die Ableitbarkeit der Zahl aus dem Phänomen der Anzahl mithin nicht haltbar. In einer strengen phänomenologischen Deskription bestimmt er selbst den Begriff "Anzahl" auf der Basis der aller Gegenstandserfahrungen notwendig vorausliegenden Intention des Gefaßtseins auf So-etwas: allein diese Intention kann sich wiederholt gleichförmig erfüllen und so - im Unterschied zur Aneinanderreihung von Verschiedenem - die Anzahl als die Vervielfachung von etwas begründen. Grotes Resultat: Die Anzahl begründet die Möglichkeit des Zählens, und die Zahl erhält er aus der Pragmatik des Zählens ihr Sein.

Anzahl, Zahl und Menge: Die phänomenologischen Grundlagen der Arithmetik (Paradeigmata 3) (German Edition) by Albert Grote

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