Quote:
Originally Posted by plaaynde
How do you know it varies absolutely continuously? Maybe it never is exactly 120V?
Are you just trolling now? Pick any value. It's a sine wave. If your argument is that probability theory in practice is only precise with physical perfection, that's true. The point is about theory, i.e. how things work and can be predicted in an idealized system. It's also true that physical infinities don't exist as far as we know (or can know), so that blows up everything then.
Edit: also, in an infinite set, you can remove any number of values and the set is still infinite. The probability is still 0 if some values don't occur in our sine wave (even though it's unlikely, a voltage increase physically can't happen instantaneously, it has to rise or fall. Unless of course you want to now argue at the electron level that it must change by discrete electrons. Do you know for sure that electrons are discrete even? ) We can do this all day.
Last edited by NewOldGuy; 08-12-2020 at 03:21 PM.