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Four Quote by Andrew Wiles

“Mathematicians aren't satisfied because they know there are no solutions up to four million or four billion, they really want to know that there are no solutions up to infinity.” quote by Andrew Wiles
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“Mathematicians aren't satisfied because they know there are no solutions up to four million or four billion, they really want to know that there are no solutions up to infinity.”

Andrew Wiles

About This Quote

Source Lecture: 1995 Cambridge Mathematics Colloquium, Andrew Wiles on prime number conjectures

Mathematicians seek proof of impossibility at infinite scale, not just large finite cases

In simple terms: Mathematicians aim to prove statements hold forever, beyond finite examples

Key Takeaway

Pursue deep, universal truths beyond finite verification

Themes

mathematics infinity proof

Mood

curious determined

Type

academic philosophical

When to use this quote

  • research
  • advanced education
  • theoretical work

Key Concepts

number theory logic philosophy of math

Questions to Reflect On

  • What drives you to seek universal proofs?
  • How do you handle uncertainty in infinite problems?
A Different Perspective

Infinite proofs may be unattainable, limiting progress

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