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Certain Quote by G. H. Hardy

“I am obliged to interpolate some remarks on a very difficult subject: proof and its importance in mathematics. All physicists, and a good many quite respectable mathematicians, are contemptuous about proof. I have heard Professor Eddington, for example, maintain that proof, as pure mathematicians…” quote by G. H. Hardy
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“I am obliged to interpolate some remarks on a very difficult subject: proof and its importance in mathematics. All physicists, and a good many quite respectable mathematicians, are contemptuous about proof. I have heard Professor Eddington, for example, maintain that proof, as pure mathematicians understand it, is really quite uninteresting and unimportant, and that no one who is really certain that he has found something good should waste his time looking for proof.”

G. H. Hardy

About This Quote

Source Speech: Lecture on Proof, 1940

Proof is undervalued in physics and some mathematics, yet it is essential for certainty.

In simple terms: Proof gives confidence in results.

Key Takeaway

Respect and seek rigorous proof.

Themes

mathematics physics proof certainty

Mood

analytical serious

Type

philosophical educational

When to use this quote

  • research
  • education
  • peer review

Key Concepts

philosophy of science logic rigor

Questions to Reflect On

  • How does proof influence scientific progress?
  • When is proof less critical?
A Different Perspective

Some fields prioritize intuition over proof.

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