Question: If 1/2 of 5 is 3, then what is 1/3 of 10?

1 Answer
Jul 27, 2018

3, 4, a herring, or anything else you like.

Explanation:

In normal rational arithmetic 1/2 or 5 is 5/2 = 2.5. The result could be taken as 3 if we choose to round up.

Then 1/3 of 10 is 10/3 = 3.bar(3). If we round to the nearest value then we get 3. If we always round non-integers up, then we get 4.

If we simply take the antecedant "1/2 of 5 is 3" to be false, then we can deduce any consequent, e.g. that 1/3 of 10 is a herring or anything else we choose.