[The infinitely small] neither have nor can have theory…
“[The infinitely small] neither have nor can have theory; it is a dangerous instrument in the hands of beginners [ ... ] anticipating, for my part, the judgement of posterity, I would dare predict that this method will be accused one day, and rightly, of having retarded the progress of the mathematical sciences.”
About This Quote
This interpretation was drafted with AI assistance. It is one reading of the quote, not the author's own explanation.
He warns that using infinitesimal methods without caution can hinder scientific progress.
In simple terms: Misusing infinitesimals may slow science.
Apply new methods responsibly.
Themes
Mood
Type
When to use this quote
- research
- education
- theoretical work
Key Concepts
Questions to Reflect On
- How can we balance caution and creativity?
- What safeguards protect scientific progress?
Over‑reliance can stifle innovation.