Thread: Styles of Proof Trick Question

Please help:

Give an example of a predicate P(n) about positive intergers N, such that P(n) is true for every positive interger from 1 to one billion, but which is never-the-less not true for all positive intergers.

(Hint: there is a really simple choice possible for the predicate P(n).)

Originally Posted by kturf

Please help:

Give an example of a predicate P(n) about positive intergers N, such that P(n) is true for every positive interger from 1 to one billion, but which is never-the-less not true for all positive intergers.

(Hint: there is a really simple choice possible for the predicate P(n).)

The the statement be

The number is less than or equal to 1,000,000,000