Euclid avoids it [the treatment of the infinite]; in…
“Euclid avoids it [the treatment of the infinite]; in modern mathematics it is systematically introduced, for only then is generality obtained.”
About This Quote
This interpretation was drafted with AI assistance. It is one reading of the quote, not the author's own explanation.
Euclid avoided infinities; modern math embraces them for generality.
In simple terms: Euclid shunned infinities; modern math uses them.
Accept infinities to broaden theory.
Themes
Mood
Type
When to use this quote
- advanced coursework
- research methodology
- theoretical physics
Key Concepts
Questions to Reflect On
- Why did Euclid reject infinities?
- What benefits arise from their inclusion?
Infinite concepts can lead to paradoxes.