Scientific Intuition of Genii Against Mytho-‘Logic’ of Cantor’s Transfinite ‘Paradise’

In the paper, a detailed analysis of some new logical aspects of Cantor’s diagonal proof of the uncountability of continuum is presented. For the first time, strict formal, axiomatic, and algorithmic definitions of the notions of potential and actual infinities are presented. It is shown that the ac...

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Bibliographic Details
Main Author: Alexander A. Zenkin
Format: Article
Language:deu
Published: Éditions Kimé 2005-11-01
Series:Philosophia Scientiæ
Online Access:http://journals.openedition.org/philosophiascientiae/532