Re: infinity


sci.logic_20050517:
The universe is infinite, infinite sets are equivalent.

sci.logic_2005071:
The universe is infinite. There are three dimensions in space: why.

sci.logic_20050710:
Several hundred years ago, the square root of negative one was
undefined. Are you so quick to think that 1/0 is undefined? 1/0 is
one divided by zero, i is the square root of negative one. Where there
are a variety of complex number systems that simplify the use of
complex and hypercomplex numbers, there are as well a variety of
systems to treat 1/0, a realized unit scalar infinity, and it is seen
in some modern analytical results, for example where a variety of
solutions exist.

sci.logic_20050710_b:
A model is to a theory as a class is to a set. What is the set of all
sets? What is the class of all classes or group of all groups or
collection of all collections ad infinitum? ZF is inconsistent. The
universe is infinite and infinite sets are equivalent.

sci.logic_20050710_c:
ZF is obsolete. It's also inconsistent, or it's rational for you to
expect a universal set in a theory of sets, and it's incomplete. Don't
you think a theory to explain everything rationally need be able to
prove every true thing, ie be complete? Infinite sets are equivalent,
as the universe is infinite.

sci.logic_20050711:
That's kind of like the notion that with induction and the transfer
principle that the set of natural numbers can't help having basically
"infinite" elements.

sci.logic_20050711:
Basically, axiomatization leads to incompleteness, so then the idea is
to determine the truth there may be from none (or various infinitely
axiomatized theories, universally axiomatized, with the minimal and
maximal ur-element being the same thing as the null axiom).

sci.logic_20050711_c:
Anyways I'm under the impression that any finitely or infinitely and
non-universally axiomatized theory is incomplete as a result of Goedel.

sci.logic_20050712_b:
Zero: equals infinity. Infinity in various ways is equated to zero,
negative one, and/or positive one, in the clockworks, and sometimes i
or e_n.

sci.logic_20050715:
What is a watt? What does the electron's path have to do with its
angular momentum, relativistically, in terms of its equal mass, as a
point particle, to other point particles, in infinital and infinitally
mathematical terms?

sci.logic_20050715:
Heh, hey, psst... infinite sets are equivalent. Why.

sci.logic_20050717:
Is the atom an RNA? The universe is infinite and as we learn more
about it its apparent bounds recede.

sci.logic_20050717_b:
Please answer the question: the universe is infinite.

sci.logic_20050717_b:
The universe is infinite: infinite sets are equivalent.

sci.logic_20050720:
The universe is infinite.

sci.logic_20050721:
There are so many points possible to address, in a variety of ways,
with regards to this increased amount of discussion (and confusion)
about the infinite, sets infinite, theories of infinite sets, and
various perceptions of perspectives of infinity, increase without
bound, untrammeled induction, universality, etcetera.

sci.logic_20050721:
It would be interesting to diagram the progression of various arguments
and stated opinions about basically "transfinite cardinals" as the
obviously to some, not contradictory, the word, uh, ... people argue
about it, uh, contentionary, conflictory, confrontational, ah,
controversial flashpoint of discussion of infinity.

sci.logic_20050721:
In a nonstandard measure theory, Vitali's result may be seen to not
hold, and non-measurable sets don't exist, and transfinite cardinals
are ineffective and evne misleading as a nomenclature for various
quantities in those models, using what is called a kind of
infinitesimal, which is a similar, yet different, thing, as an
infinity.

sci.logic_20050721:
Infinite sets are equivalent. Bob: the universe is infinite.

sci.logic_20050721:
Now, where that is so, that leads to various notions including, where
basically the powerset, diagonal, and nested interval results are held
as the epitome of pure mathematics about the infinite, direct
contradictions of those things. I have addressed many or the most of
the salient issues with regards to the pickling of transfinite
cardinals and post-Cantorian theory of the infinite.

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