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

Jul 27, 2018

$3$, $4$, a herring, or anything else you like.
In normal rational arithmetic $\frac{1}{2}$ or $5$ is $\frac{5}{2} = 2.5$. The result could be taken as $3$ if we choose to round up.
Then $\frac{1}{3}$ of $10$ is $\frac{10}{3} = 3. \overline{3}$. 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 "$\frac{1}{2}$ of $5$ is $3$" to be false, then we can deduce any consequent, e.g. that $\frac{1}{3}$ of $10$ is a herring or anything else we choose.