RE: Why, how do you do?
February 12, 2010 at 3:18 pm
(This post was last modified: February 12, 2010 at 3:23 pm by BioLogos.)
(February 12, 2010 at 2:05 pm)Tiberius Wrote:(February 12, 2010 at 1:07 pm)BioLogos Wrote:Awesome(February 12, 2010 at 1:05 pm)fr0d0 Wrote: And you seem to be able to read and write!Only barely: I'm a mathematician.
You should have been here for our 0.999... = 1 discussions.
Oh boy. Please tell me the dissenters were kicked out.
(February 12, 2010 at 2:09 pm)Tiberius Wrote: Infinity is a mathematical concept; it can't exist in the real world (unless the non-observable universe is infinite). This is why physicists have trouble understanding what happens in a black hole, because their calculations always have infinities in them which isn't good in a finite universe.
Of course in mathematics you have two types of infinity, countable and non-countable. The set of all integers between 0 and positive infinity is countably infinite in size, same as the set of all integers between 0 and negative infinity. The set of all real numbers between 0 and 1 is non-countably infinite.
Since [0,1] is uncountable, there exist uncountably many points along any finite length in the universe. Why is this not a counterexample to your statement in bold?
