fretgod99 wrote:
Tacticslion wrote:
No. Infinite means "without end". What I wrote means "uncountably large, but still finite". A googleplex is, for example, uncountably large but finite - feel free to start counting to it (hint: you can't ever get there). You are factually incorrect.
Good luck in court tomorrow, presupposing you're pursuing the most morally correct course! (I don't know, as I have no details of the case! But I hope you are and, given that, that it works out well!)
No, if something is finite, it is by definition countable. That you would not be able to reach the number by counting within your lifetime does not mean something is not countable. ("Googolplex", by the way. Not a big deal, just thought you might like to know.) Of course, to be fair, that something is countable does not necessarily mean it is finite (integers are countable, yet infinite).
Infinite does in fact mean impossible to calculate (i.e., cannot be counted). So no, I am not incorrect. Regardless, that this wasn't the intended meaning of your statement doesn't mean that it isn't a possible meaning of your statement, which is ultimately my...
Not to be picky here, but the set of all integers is countable and infinite. The set of real numbers is uncountable and infinite. Infinite does not mean countable - they are two different things. Countable is only relevant when dealing with sets. Foundations of Math FTW!