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Iffy Logic

Age 14 to 18 Challenge Level:

Thanks to Rushaan and Spencer from Cape Academy, Western Cape, South Africa who sent us the most complete solution. The full solution is:

Interestingly, if $n, m$ are positive whole numbers (as stated in the question), then $n> 0$ is always true (a tautology). So, we can in fact correctly write $n> 0$ IF [Any of the statements]