The problem I have with this is that in set theory, there are several
examples of sets who owe their existence to axioms alone. In other words,
there is an axiom that states there is a set X such that (blah, blah,
blah). How are we to know which sets/notions are meaningless concepts?
Because to me, it sounds like Doron's personal opinion that some concepts
are meaningless while other concepts like huge, unknowable, and tiny are
not meaningless. Is there anything that would remove the opinion portion
How is the second axiom an improvement while containing words like huge,
unknowable, and tiny??
So I deny even the existence of the Peano axiom that every integer has a
we would get an overflow error in the big computer in the sky, and the sum
and product of any
two integers is well-defined only if the result is less than p, or if one
wishes, one can compute them
modulo p. Since p is so large, this is not a practical problem, since the
overflow in our earthly
computers comes so much sooner than the overflow errors in the big computer
in the sky.
What if the big computer in the sky is infinite? Or if all computers are
finite in capacity yet there is no largest computer?
What if NO computer activity is relevant to the set of numbers that exist
On Monday, April 22, 2013 11:28:46 AM UTC-7, smi...@zonnet.nl wrote:
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