What do you think is the first counterexample to the statement "half of a big number is also a big number"?
@christianp if you are a cat, 8 is too many to count to, but 4 is the number of paws you have.
Or, fractionally less facetiously, https://numberwarrior.wordpress.com/2010/07/30/is-one-two-many-a-myth/ for cultures who go “one, two, many”, where many is clearly a big number but half of many might be two.
