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Aliens invade the earth and threaten to obliterate it in a year's time unless human beings can find the Ramsey number for red five and blue five. We could marshal the world's best minds and fastest computers, and within a year we could probably calculate the value. If the aliens demanded the Ramsey number for red six and blue six, however, we would have no choice but to launch a preemptive attack.

Paul Erdos#1

ScienceMathTheory

About this quote

What does it mean?
Erdos used a hypothetical alien threat to illustrate that computing some mathematical problems like Ramsey numbers is practically impossible.
In plain terms
He compared impossible math to an alien invasion to show we can't solve certain problems.
What can you take from it?
Some mathematical problems are so hard they are practically unsolvable.

Where it applies

  • teaching math
  • explaining complexity
  • research

Putting it to work

  • teaching computability
  • explaining hard problems

Questions to consider

  • What problems are truly unsolvable?
  • How do we explain complexity?

Another view

The joke relies on the listener knowing Ramsey theory basics.

More from Paul Erdos

  1. A mathematician is a device for turning coffee into theorems.

    Permalink to quote #2
  2. God may not play dice with the universe, but something strange is going on with the prime numbers.

    Permalink to quote #3
  3. This one's from the Book!

    Permalink to quote #4

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