(April 27, 2016 at 12:34 pm)RoadRunner79 Wrote:(April 27, 2016 at 10:03 am)Excited Penguin Wrote: The set of natural real numbers aren't really infinite, we only think of them as such. Same holds for the points on a line segment. In the real world, nothing has been proven to be infinite, nor could it be. Feel free to dream of it though.
In my uninformed, uneducated opinion infinity is illogical and doesn't have a place in the real world.
Do correct my ignorance.
I am confused by your statement, about the abstract of real numbers, not being infinite. Could you clarify? I do agree about the line though.... In any case you are going to have a finite number of points. You can redefine what the point means, but then you still have a finite number.
How exactly do you think that real numbers are infinite?