(March 3, 2018 at 2:03 pm)RoadRunner79 Wrote:(March 3, 2018 at 1:30 pm)polymath257 Wrote: 1.) Please be more precise: exactly what process do we use to go from 0 to 1? Be specific.
2.) But yes, at any point there is another point to go through. And yes, we manage to go through all of them.
3.) The problem is that you are assuming we cannot compete an infinite process. Look at my comments on the definition of 'infinity' above.
1. ) In this case, we are cutting in half the distance between the current position and the end position. Which you agree, will never result in a number greater or equal to the end positions correct? In actuality, I believe that one would need to proceed through each point, between 0 and 1 sequentially. The dichotomy method of half marks allows us an abbreviated way to move forward, to systematically show an infinity and show that we that the end (1) will never be reached.
2.) If they are without end... how do you go through them all? That is the question. (And if you are going to say time again, then how does that help you to get to 1 if X<Y<1.... More or less time, does not help you complete this sequence, it's not a matter of completing it in a timely manner).
3. Using the same method, that you use to show an infinity, also shows that you cannot complete that infinity (hence the concept and the term). If you disagree with Zeno.... then where? You agreed to the premises including the math. Do you think that the conclusion doesn't follow that if X<Y<1 ad infinitum then an infinite number of halfway marks cannot be crossed, therefore the path can never be fully completed? If so why?
We don't care. Even if we agreed with this argument, which we do not, it still would NOT favor your pet god over any other. Hawking has already said, and I agree with him, "A God is not required".
1+1= Jesus
1+1= Allah
1+1=Yahweh
1+1= Buddha
1+1= Brahma
You could argue 1+1= Unicorns or Yoda and it would mean the same thing to us.
What would be so frightening to you if you figured out you got sold old mythology? What would be so frightening to you if you found out you really are finite?
That was then, this is now. It was understandable that BOTH polytheists and monotheists made that crap up because they didn't know any better. Our knowledge of scientific fact has exponentially increased over the past 2,000 years. Just like you don't find it credible to gap fill with Poseidon to claim him to be the cause of Hurricanes.