Care Quote by Augustus De Morgan
“Mathematicians care no more for logic than logicians for mathematics.”
About This Quote
Source Essay: Observations on the Theory of Knowledge, 1862
Mathematicians prioritize intuition over strict logic, just as logicians focus on formalism over practical mathematics.
In simple terms: Mathematicians value intuition; logicians value formality.
Key Takeaway
Balance intuition with rigor.
Themes
intuition
logic
discipline
Mood
reflective
analytical
Type
philosophical
critical
When to use this quote
- research
- teaching
- problem solving
- academic debate
Key Concepts
philosophy of mathematics
epistemology
Questions to Reflect On
- How do you reconcile intuition and formal proof?
- When is formalism limiting?
A Different Perspective
Overemphasis on intuition can lead to errors.
![“Imagine a person with a gift of ridicule [He might say] First that a negative quantity has no logarithm; secondly that a negative quantity has no square root; thirdly that the first non-existent is to the second as the circumference of a circle is to the diameter.” quote by Augustus De Morgan](https://sms4smile.com/quotes/img-quotes/17f/augustus-de-morgan-18916_circles_imagine-a-person-with-a-gift-of-ridicule_136734.jpg)
![“As to writing another book on geometry [to replace Euclid] the middle ages would have as soon thought of composing another New Testament.” quote by Augustus De Morgan](https://sms4smile.com/quotes/img-quotes/ed4/augustus-de-morgan-18916_age_as-to-writing-another-book-on-geometry-t_584350.jpg)
