Georg Cantor on Nature
Browse 2 quotations attributed to Georg Cantor, catalogued under nature, with dates where available.
This page displays 2 quotations attributed to Georg Cantor and filed under "nature" in QuoteLineage. The selection is ordered by stored importance and quality scores, not citation counts. A topic label describes how an entry is catalogued; it does not establish the theme's importance in the author's work.
Attributed to Georg Cantor, entry #134757: "I realize that in this undertaking I place myself in a certain opposition to views widely held concerning the mathematical infinite and to opinions frequently defended on the natu…"
Attributed to Georg Cantor, entry #86054: "That from the outset they expect or even impose all the properties of finite numbers upon the numbers in question, while on the other hand the infinite numbers, if they are to be …"
2 Quotes by Georg Cantor on Nature
"I realize that in this undertaking I place myself in a certain opposition to views widely held concerning the mathematical infinite and to opinions frequently defended on the nature of numbers."
"That from the outset they expect or even impose all the properties of finite numbers upon the numbers in question, while on the other hand the infinite numbers, if they are to be considered in any form at all, must constitute an entirely new kind of number, whose nature is entirely dependent upon the nature of things and is an object of research, but not of our arbitrariness or prejudices."