Admitting Quote by Georg Cantor
“I am so in favor of the actual infinite that instead of admitting that Nature abhors it, as is commonly said, I hold that Nature makes frequent use of it everywhere, in order to show more effectively the perfections of its Author. Thus I believe that there is no part of matter which is not - I do not say divisible - but actually divisible; and consequently the least particle ought to be considered as a world full of an infinity of different creatures.”
About This Quote
Source Book: Gesammelte Mathematische Werke, 1900
Cantor argues that infinity is not contradictory but a natural aspect of nature, suggesting matter consists of infinitely divisible parts, each a world of countless entities.
In simple terms: Infinity is a natural, pervasive part of reality.
Key Takeaway
Accept infinity as a fundamental concept.
Themes
philosophy
mathematics
metaphysics
Mood
thoughtful
intellectual
Type
philosophical
scientific
When to use this quote
- scientific research
- theoretical physics
- philosophical inquiry
- education
Key Concepts
infinite divisibility
cosmology
Questions to Reflect On
- How does accepting infinity affect your view of reality?
- What implications does infinite divisibility have for science?
A Different Perspective
Infinite concepts can be hard to grasp and may conflict with intuition.
![“The old and oft-repeated proposition "Totum est majus sua parte" [the whole is larger than the part] may be applied without proof only in the case of entities that are based upon whole and part; then and only then is it an undeniable consequence of the concepts "totum" and "pars". Unfortunately…” quote by Georg Cantor](https://sms4smile.com/quotes/img-quotes/1c9/georg-cantor-20252_axioms_the-old-and-oft-repeated-proposition-tot_1288544.jpg)
