A logician, a physicist, a statistician, and an engineer enter a mathematics contest, the first task of which is to prove that all odd integers are prime.
The logician argues: "3 is a prime, 5 is a prime, 7 is a prime. Therefore, by induction, all odd numbers are prime."
It's the physicist's turn: "3 is a prime, 5 is a prime, 7 is a prime, 9 is not a prime, 11 is a prime, 13 is a prime. Within experimental error, all odd numbers are prime."
The statistician states: "Let's try several randomly chosen numbers: 17 is a prime, 23 is a prime, 11 is a prime... our sample shows that all odd numbers are prime."
The engineer responds: "We just need to run a test, starting with the largest odd number and working backwards..."
(A lawyer puts forward that it is impossible to determine whether 1 is a prime or not, therefore we need not reach a result on 3, 5, 7, or 9)
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