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An old French mathematician said: "A mathematical theory…

“An old French mathematician said: "A mathematical theory is not to be considered complete until you have made it so clear that you can explain it to the first man whom you meet on the street." This clearness and ease of comprehension, here insisted on for a mathematical theory, I should still more…” quote by David Hilbert
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“An old French mathematician said: "A mathematical theory is not to be considered complete until you have made it so clear that you can explain it to the first man whom you meet on the street." This clearness and ease of comprehension, here insisted on for a mathematical theory, I should still more demand for a mathematical problem if it is to be perfect; for what is clear and easily comprehended attracts, the complicated repels us.”

David Hilbert

About This Quote

This interpretation was drafted with AI assistance. It is one reading of the quote, not the author's own explanation.

A theory is complete only when it can be explained simply to anyone, making clarity essential for true understanding.

In simple terms: Clear explanations show true understanding.

Key Takeaway

Strive for simplicity in communication.

Themes

clarity education accessibility mathematics

Mood

thoughtful instructive

Type

educational philosophical

When to use this quote

  • teaching
  • public talks
  • writing textbooks
  • popular science

Key Concepts

pedagogy philosophy of science communication

Questions to Reflect On

  • How can you simplify without losing depth?
  • Who benefits most from clear explanations?
A Different Perspective

Simplicity may oversimplify complex ideas.

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