Able Quote by George Polya
“A mathematician who can only generalise is like a monkey who can only climb up a tree, and a mathematician who can only specialise is like a monkey who can only climb down a tree. In fact neither the up monkey nor the down monkey is a viable creature. A real monkey must find food and escape his enemies and so must be able to incessantly climb up and down. A real mathematician must be able to generalise and specialise.”
About This Quote
A mathematician must balance generalization and specialization, like a monkey that can climb both up and down to survive.
In simple terms: Balance broad and deep knowledge.
Key Takeaway
Cultivate both general and specialized skills.
Themes
knowledge
balance
growth
Mood
analytical
motivational
Type
educational
inspirational
When to use this quote
- research
- teaching
- career development
- problem solving
Key Concepts
generalization
specialization
adaptability
Questions to Reflect On
- How do you ensure you practice both breadth and depth?
- What risks arise from over‑specializing?
A Different Perspective
Overemphasis on one side limits flexibility.
![“Pedantry and mastery are opposite attitudes toward rules. To apply a rule to the letter, rigidly, unquestioningly, in cases where it fits and in cases where it does not fit, is pedantry. [...] To apply a rule with natural ease, with judgment, noticing the cases where it fits, and without ever…” quote by George Polya](https://sms4smile.com/quotes/img-quotes/927/george-polya-10766_action_pedantry-and-mastery-are-opposite-attitu_112396.jpg)
