Mathematical Quote by Andrew Wiles
“The definition of a good mathematical problem is the mathematics it generates rather than the problem itself.”
About This Quote
Source Lecture: Mathematics and Problem Solving, 1995
A good problem is valuable for the new mathematics it inspires, not just its statement.
In simple terms: The worth of a problem lies in the mathematics it creates.
Key Takeaway
Seek problems that generate new ideas.
Themes
creativity
exploration
mathematics
Mood
analytical
inquisitive
Type
philosophical
academic
When to use this quote
- research projects
- academic study
- theoretical work
- collaborations
Key Concepts
problem definition
research value
innovation
Questions to Reflect On
- What problem has sparked unexpected ideas for you?
- How do you evaluate a problem's potential?
A Different Perspective
Not all problems lead to fruitful mathematics.
![“...There is no study in the world which brings into more harmonious action all the faculties of the mind than [mathematics], ... or, like this, seems to raise them, by successive steps of initiation, to higher and higher states of conscious intellectual being…” quote by James Joseph Sylvester](https://sms4smile.com/quotes/img-quotes/bc5/james-joseph-sylvester-23602_action_there-is-no-study-in-the-world-which-bri_23809.jpg)
