(October 17, 2017 at 12:47 pm)Jehanne Wrote:(October 17, 2017 at 12:40 pm)RoadRunner79 Wrote: Again, I ask what is it that is infinite? I think that as soon as you define the what, you lose the infinity. It is largely a trick of non-definition.
Professor Kenneth Rosen, in his very popular textbook series on Discrete Mathematics, defines an "infinite set is one that is not finite". Or, in other words,
And the question still remains, a set of what? Really all you seem to have is a concept of infinity. And you can only have this, as long as you do not define the set.
Quote:When we've been there ten thousand years,
Bright shining as the sun,
We've no less days to sing God's praise,
Than when we first begun.
An "actual infinite", no?
P.S. Here's Wikipedia's article on Cantor's proof:
https://en.wikipedia.org/wiki/Cantor%27s...l_argument
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No... that is what is referred to as a potential infinity.
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