>>11954099next as an idea only exists for a set that is countably infinite
the reals are UNcountably infinite
theres too many of them to put them in a linear order like that
>>11954157>If it's always either 0 or 1, it's never 0.5.yeah, none of the finite terms are ever .5, theyre only 0 or 1 by definition
thank you einstein, what a fucking wonderful insight
the point of extending 1-1+1-1... to 1/2 is not by saying the limit approaches 1/2, the limit doesnt exist everyone knows this
but we can still find a sensible definition that agrees with the limiting one (when the limit exists) and that sensible definition gives 1/2
in fact, every single sensible definition gives 1/2 to 1-1+1-1...
if you think its obvious bullshit, then you didnt learn it properly, did you only ever see the NumberPhile vid on it or some shit?
Is that why you're calling it a "limit" in quotes, cuz James Grime called it a pseudo limit?
Its got jack shit to do with limits, we arent saying 1 0 1 0 1 ... has a limit at 1/2
>>11954164>basedbased on nothing
>>11954186.333... = 1/3
its exact
