Checks Quote by George Polya
“If you have to prove a theorem, do not rush. First of all, understand fully what the theorem says, try to see clearly what it means. Then check the theorem; it could be false. Examine the consequences, verify as many particular instances as are needed to convince yourself of the truth. When you have satisfied yourself that the theorem is true, you can start proving it.”
About This Quote
Source Book: Mathematics and Plausible Reasoning, 1949
Understand a theorem fully and test it before attempting proof; verification precedes formal proof.
In simple terms: Study and test a theorem before proving it.
Key Takeaway
Verify before you prove.
Themes
mathematics
logic
methodology
Mood
analytical
inquisitive
Type
educational
methodological
When to use this quote
- classroom teaching
- research
- self‑study
- exam preparation
Key Concepts
problem solving
critical thinking
proof strategy
Questions to Reflect On
- What examples show verification saved a proof?
- How can you balance speed and thoroughness?
A Different Perspective
Rushing can lead to false proofs or missed insights.
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