(February 13, 2018 at 6:08 pm)polymath257 Wrote:(February 13, 2018 at 5:54 pm)RoadRunner79 Wrote: I'll try to comment on the other stuff later. However I've had the discussion concerning a infinite number of points on a finite line before here (and haven't gotten very good answers).
How are you defining a point, and on what basis do you state that there are an infinite number of them on a 1 inch line?
Between any two points, there is another that is halfway that is different than both ends. That alone is enough to guarantee an infinite number of points. And that is true no matter what the definition.
Yes, that is the assertion, and it sounds good. However if you are saying that there is an infinite number of something, then I want to know an infinite number of what (definition) and how did you determine that they where infinite? I'm just guessing, but I don't think that you counted them. And you can check my math, but I think that dividing by two will always return a finite number.
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