RE: Evidence for a god. Do you have any ?
October 10, 2018 at 8:00 am
(This post was last modified: October 10, 2018 at 8:08 am by polymath257.)
(October 9, 2018 at 9:41 am)RoadRunner79 Wrote:(October 9, 2018 at 8:07 am)polymath257 Wrote: There is no *logical* contradiction to an infinite regress. There is also no *logical* contradiction to an actual infinity in the real world. Both of those are positions taken because of an adherence to Aristotelian philosophy that has been superseded by Cantorian logic.
Where you not just recently saying that these axioms are just made up, and need to see if they correspond to the real world? As well; how does this show that the issue with the logic against having an acutal infinity and against an infinite regress? It seems that you just assume that the numbers and axioms (which you admittedly make up) so; I don't see how this is supersedes anything and gets around the issues of traversing an infinite regress.
Once again, there is no *logical* contradiction with an actual infinity or infinite regress. It is a question of science whether either turns out to be the case. But that goes beyond mere logic to a question of observation.
The axioms and their lack of self-contradiction show that there is no *logical* issue with infinities.They differ from finite quantities, clearly, but there is no actual contradiction. So, assuming standard two-valued logic along with quantifiers, there is no logical issue with there being infinities that are 'completed'. That said, there is a lot of very poor philosophy about infinity that was done prior to Cantor's work. ANYTHING concerning infinity should take that work into consideration.
(October 9, 2018 at 11:29 am)RoadRunner79 Wrote:(October 9, 2018 at 11:26 am)Grandizer Wrote: So Steve, no counter response to my response?
https://atheistforums.org/thread-56808-p...pid1827684
Oh, speaking of infinity, here's a link to a thread in which both Steve and RR showed they couldn't do maths and consequently got their asses spanked badly by a number of us. It's an amusing read, enjoy:
https://atheistforums.org/thread-53460.html
If your math leads to logical contradictions, then I think that you need to re-examine your math. But it's not really about math, but assumptions that haven't been properly thought through.
Yes, of course. But infinities do NOT lead to logical contradictions. They are different than finite quantities, yes, but they obey standard logic when correctly done.
(October 9, 2018 at 12:19 pm)RoadRunner79 Wrote:(October 9, 2018 at 11:32 am)Grandizer Wrote: You are an idiot. Just as 0/0 = indeterminate is not a logical contradiction, it's the same with infinity - infinity.
Not surprised you still don't get it.
I wasn’t talking about that. I’m talking about the concept of an anctual infinity or of crossing an actual infinity, by stepping through each one. As I said, not talking about the math. The problem is with its assumptions.
And what assumption do you see as being problematic? Again, the consistency of the mathematics shows that there is no *logical* issue with actual infinities. Whether they exist in the real world is question for science, not logic (logic not being strong enough to resolve the issue).
You make *assumptions* that addition, subtraction, multiplication, and diviision work the same way for infinities quantities as they do for finite ones. That is your mistake and is what leads to your problems. But the fact is that those operations work *differently* for infinite quantities than they do for finite ones. Those differences are NOT contradictions because we are talking about different types of things.