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About this quote

What does it mean?
Fermat may have been self-deceived about having a valid proof.
In plain terms
Fermat might have tricked himself into thinking he solved it.
What can you take from it?
Self-belief can lead to false confidence.

Where it applies

  • self-reflection
  • peer review
  • problem solving

Putting it to work

  • seek feedback
  • test assumptions
  • check work

Questions to consider

  • How do you catch your own mistakes?
  • Who challenges your work?

Another view

It is hard to spot errors in your own thinking.

More from Andrew Wiles

  1. Fermat couldn't possibly have had this proof.

    Permalink to quote #9
  2. But what has made this problem special for amateurs is that there's a tiny possibility that there does exist an elegant 17th-century proof.

    Permalink to quote #11
  3. Young children simply aren't interested in Fermat. They just want to hear a story and they're not going to let you do anything else.

    Permalink to quote #8

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