Quote:My eureka moment came when trying to double the 'gap' to see the larger gap... the difference between 0.9r and 2 - 0.9r ...in both cases there is not ever convergence with '1', but there is still no number you can add to 0.9r to make it 2 - 0.9r ...there is no representation of infinity minus an infinitesimal amount which would = convergence.But you still do need that infinitesimal before it will be 1.
That's my 'hang-up', if it can be called that. I also reject the 'mathematics' that could claim an infinite to be finite. That's why I cited the infinite limit: that the infinite looks like a graph that grows ever steeper, with a repulsion to the finite it is endlessly approaching. It's like being caught in the event horizon of a black hole
Please give me a home where cloud buffalo roam
Where the dear and the strangers can play
Where sometimes is heard a discouraging word
But the skies are not stormy all day
