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You can divide by zero, it happens all the time. With l'hopital's rule it is always welcomed in concept. Also this, idea of not dividing by 0 comes back to infinity not being able to be reached--mere speculation that cannot technically be proven nor disprove except through more concept and speculation. SO for our purposes in the original thread, we assume it CAN be.
sinx/x evaluated at 0 produces an indeterminate (infinity) so it is difficult to say that this example really works. Yes the limit does not correspond with the "plugging in" of 0, but it produces something else that could mean many different things (theoretically even 1, who knows)
Originally posted by PhysicsAdept
reply to post by OutKast Searcher
Has to do with rates is my guess. You cannot just multiply each side by infinity to resolve that 1=2.
Ok seriously, last post of the night, more tomorrow
0*1 = 0. 0*2 = 0. This works fine too. There's no paradox. Think of numbers in terms of distance from the origin (typically 0).
If you divide any finite number an infinite number of times, the resulting length or distance (from 0) is still 0.
Originally posted by OutKast Searcher
So in your world....100 = 1 and 45 = 0 and 32 = 98????
I'm sorry...but I have to say you are more confused than anyone else in this thread. I would suggest that you take some formal courses instead of just teaching yourself...easy to confuse yourself to the point where valid mathematics will never make sense to the incorrect world view you have built in your mind.
Originally posted by OutKast Searcher
It will never be zero...and you can never divide it an infinite number of times.
Like the OP...if you claim you can....you are breaking the definition of infinity.
Infinity isn't a large number...it is a boundless boundry.
Umm no. Did you read what I said? Did you even BOTHER to try and understand it?
Originally posted by circlemaker
Originally posted by OutKast Searcher
It will never be zero...and you can never divide it an infinite number of times.
Like the OP...if you claim you can....you are breaking the definition of infinity.
Infinity isn't a large number...it is a boundless boundry.
You're limiting yourself with preconceptions. Peek outside your box every once in a while and you might actually learn something.
Originally posted by OutKast Searcher
In your world:
1/infinity = 0
2/infinity = 0
since 0=0, we can replace
1/infinity = 2/infinity
Multiply both sides by infinity and you get
1 = 2
That's completely nonsensical. Both sides of what?
You're treating infinity as if it's a finite (but very large) number with polarity. It doesn't work like that. I've already explained how this works but you claim that a finite number can't be divided an infinite number of times and that's where you stopped thinking.