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Consequence Quote by G. H. Hardy

“The "seriousness" of a mathematical theorem lies, not in its practical consequences, which are usually negligible, but in the significance of the mathematical ideas which it connects.” quote by G. H. Hardy
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“The "seriousness" of a mathematical theorem lies, not in its practical consequences, which are usually negligible, but in the significance of the mathematical ideas which it connects.”

G. H. Hardy

About This Quote

A theorem's value lies in the depth of its conceptual connections, not in immediate practical use, emphasizing the intrinsic beauty of mathematics.

In simple terms: Value is in conceptual depth.

Key Takeaway

Ideas, not applications, matter.

Themes

mathematics theory beauty intellectual depth connections

Mood

intellectual reflective admiring

Type

philosophical academic

When to use this quote

  • academic lectures
  • research seminars
  • philosophical discussions on math

Key Concepts

abstract reasoning conceptual significance

Practical Applications

  • curriculum design
  • mathematical outreach

Questions to Reflect On

  • Why do mathematicians prize elegance over utility?
  • Can practical impact ever outweigh conceptual insight?
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