Currently displaying 1 – 1 of 1

Showing per page

Order by Relevance | Title | Year of publication

Scientific intuition of Genii against mytho-‘logic’ of Cantor’s transfinite ‘paradise’

Alexander A. Zenkin — 2005

Philosophia Scientiae

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 actualization of infinite sets and sequences used in Cantor’s proof is a , but hidden, condition of the proof. The explication of the necessary condition and its factual usage within the framework of Cantor’s...

Page 1

Download Results (CSV)