Believe Quote by David Hilbert
“Besides it is an error to believe that rigour is the enemy of simplicity. On the contrary we find it confirmed by numerous examples that the rigorous method is at the same time the simpler and the more easily comprehended. The very effort for rigor forces us to find out simpler methods of proof.”
About This Quote
Source Lecture: Foundations of Mathematics, 1900
Rigor and simplicity are compatible; rigorous methods often lead to simpler, clearer understanding.
In simple terms: Rigor can simplify.
Key Takeaway
Pursue rigorous approaches to uncover simplicity.
Themes
mathematics
rigor
simplicity
clarity
Mood
analytical
inquisitive
Type
educational
philosophical
When to use this quote
- academic research
- problem solving
- teaching
- software verification
Key Concepts
proof techniques
logical analysis
elegant solutions
Questions to Reflect On
- How does rigor reveal underlying simplicity?
- When might simplicity be preferred over rigor?
A Different Perspective
Rigor may be time‑consuming and intimidating for beginners.
![“About Thomas Hobbes: He was 40 years old before he looked on geometry; which happened accidentally. Being in a gentleman's library, Euclid's Elements lay open, and "twas the 47 El. libri I" [Pythagoras' Theorem]. He read the proposition "By God", sayd he, "this is impossible:" So he reads the…” quote by John Aubrey](https://sms4smile.com/quotes/img-quotes/d43/john-aubrey-29611_convinced_about-thomas-hobbes-he-was-40-years-old_1668279.jpg)
![“[On Cantor's work:] The finest product of mathematical genius and one of the supreme achievements of purely intellectual human activity.” quote by David Hilbert](https://sms4smile.com/quotes/img-quotes/1dd/david-hilbert-12585_achievement_on-cantor-s-work-the-finest-product-of-m_34708.jpg)
