Proof that all odd numbers are prime, various approaches:
Mathematician: 3 is prime, 5 is prime, 7 is prime, therefore by
induction, all odd numbers are prime.
Alternate mathematician's proof: 3 is prime, 5 is prime, 7 is prime,
9 is not prime, neither is 15, therefore not all not odd numbers are
not prime; applying the contrapositive, the original lemma holds.
Physicist: 3 is prime, 5 is prime, 7 is prime, 9--experimental error,
11 is prime, 13 is prime...therefore all odd numbers are prime.
Engineer: 3 is prime, 5 is prime, 7 is prime, 9 is prime, 11 is prime...
Philosopher: 3 is prime, therefore all odd numbers are prime.
Lawyer: 3 is prime, 5 is prime, 7 is prime, 11 is prime...
Programmer: Damn, can't find my sieve routine.
Politician: 3 is prime, uh, what comes next?
Mathematician: 3 is prime, 5 is prime, 7 is prime, therefore by
induction, all odd numbers are prime.
Alternate mathematician's proof: 3 is prime, 5 is prime, 7 is prime,
9 is not prime, neither is 15, therefore not all not odd numbers are
not prime; applying the contrapositive, the original lemma holds.
Physicist: 3 is prime, 5 is prime, 7 is prime, 9--experimental error,
11 is prime, 13 is prime...therefore all odd numbers are prime.
Engineer: 3 is prime, 5 is prime, 7 is prime, 9 is prime, 11 is prime...
Philosopher: 3 is prime, therefore all odd numbers are prime.
Lawyer: 3 is prime, 5 is prime, 7 is prime, 11 is prime...
Programmer: Damn, can't find my sieve routine.
Politician: 3 is prime, uh, what comes next?
Related:
- Prime Numbers
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