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Beauty Quote by George Polya

“The elegance of a mathematical theorem is directly proportional to the number of independent ideas one can see in the theorem and inversely proportional to the effort it takes to see them.” quote by George Polya
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“The elegance of a mathematical theorem is directly proportional to the number of independent ideas one can see in the theorem and inversely proportional to the effort it takes to see them.”

George Polya

About This Quote

Source Book: Mathematics and Plausible Reasoning, 1954

A theorem’s elegance grows with many independent insights and less effort to grasp them.

In simple terms: Elegant the = many ideas, low effort to see.

Key Takeaway

Seek simple, insight‑rich proofs.

Themes

mathematics beauty elegance insight

Mood

reflective appreciative

Type

philosophical inspirational

When to use this quote

  • teaching
  • research
  • creative work
  • personal learning

Key Concepts

problem solving cognitive economy aesthetic value

Questions to Reflect On

  • How can you simplify a hard concept?
  • What makes a proof feel elegant?
A Different Perspective

Complexity can obscure elegance for novices.

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