Demonstration Quote by Pierre de Fermat
“It is impossible for any number which is a power greater than the second to be written as a sum of two like powers. I have a truly marvelous demonstration of this proposition which this margin is too narrow to contain.”
About This Quote
Source Letter: Correspondence with Frénicle de Bessy, 1637
Fermat claims a proof exists for his theorem about sums of like powers, but the margin is too narrow to contain it.
In simple terms: Fermat says a proof exists for his theorem, but he couldn’t write it down.
Key Takeaway
Seek rigorous proof rather than relying on unverified claims.
Themes
mathematics
number theory
proof
challenge
historical
Mood
curious
respectful
Type
historical
analytical
When to use this quote
- academic research
- problem solving
- teaching
- self‑study
Key Concepts
Fermat’s Last Theorem
exponential equations
intellectual humility
Questions to Reflect On
- What problems do you assume are solved without verification?
- How can you balance confidence with humility in inquiry?
A Different Perspective
Relying on intuition without proof can mislead progress.
