What do you think is the first counterexample to the statement "half of a big number is also a big number"?
Is this the same question as "what's the smallest big number"?
If not, why not?
@christianp Basically yes, same question, I think.
Besides other options graciously offered here I can think of one more. I encountered the term big numbers, or large numbers, if you allow me the liberty, in the title of the law of large numbers. So, what if we define it like this:
A number can be called a big number if the outcome from a sample of that size is within the standard deviation from the predicted mean. Or something along this line.
@christianp I asked the Jr your question.
On the obvious request to define "big number" I said "you define". Here's what I got in response:
If all positive numbers (or rational numbers as another example) are big numbers then there's no counterexample. Now go to bed dad.