(March 5, 2018 at 1:12 pm)polymath257 Wrote:(March 5, 2018 at 1:08 pm)RoadRunner79 Wrote: 1.) Ok... if all positive integers end in one direction, and all negative integers end in one direction. Would you agree, that they are infinite in at least one direction. This would be a definition of a ray. Now are you telling me, that when definitions say that the ray proceeds infinitely in one direction, that this is telling me something about the order, not that the line goes on without end?
2.) So the points correspond to locations, and the locations correspond to points. My question is what does a point or a location or a point like under a microscope?
1) Both are infinite. Yes, having an 'end' is a matter of how things are ordered, NOT a matter of the quantity.
The interval from 0 to 1 has an infinite number of real numbers, but has an end at both ends.
2. ???? What does time look like under a microscope? Silly question.
So what order equates them the description of being infinite? And infinity is used often (I would say normally) in regards to quantity. Which would seemingly be the case in your "points" / "Locations". Or are you saying now that there is not an endless number of points (that they can be completed)?
It is said that an argument is what convinces reasonable men and a proof is what it takes to convince even an unreasonable man. - Alexander Vilenkin
If I am shown my error, I will be the first to throw my books into the fire. - Martin Luther
If I am shown my error, I will be the first to throw my books into the fire. - Martin Luther