What do you think is the first counterexample to the statement "half of a big number is also a big number"?
@christianp Depends. The concept of a big number is both fuzzy and somewhat context dependent to me.

@quincy I deliberately asked a fuzzy question 😉

Can you think of any examples?

@christianp A natural number seems big to me if it would take a considerable (fuzzy concept again?) stretch of time to count manually, say 1000.

But 4 can already be a big number if it counts the number of pizzas in my lunch (whereas 2 would be only moderately big, maybe). That would seem to put an upper bound of 4 on my answer.