@MJA,
The following bears re-iteration: Existence is a set of finite, and infinite magnitudes, proof of one infinite aspect of existence, is proof the whole is infinite.
StupidBoy wrote:I thought I'd take a moment out to question this little bit. 321423*infinity= infinity.
Thx StupidBoy for pointing this out.
What I meant though is, infinity implies wholeness, which is where the '1' came from. In absolute arrhythmic all things are apart of 1 whole infinite thing.
You are correct though, I misrepresented this.
Quote:I can take a line segment of a Cantor Set and measure it. I can measure the entire set, or any given segment of the set, at any point along the series.
Yes but what about when dealing with a line and not a line segment? IE, a set with no end points, or a infinite set? The set of all natural numbers, is a infinite set. Now yes, this infinite set of natural numbers is technically 'countable' because its the collection of countable natural numbers, but there are uncountable infinite sets as well. A set is countable when we can put it on a 1-to-1 correspondence with the set of natural numbers - IE when it has the same cardinality of the set of natural numbers, which is aleph-0. Cantor has a whole series of customized transfinite numbers that he represents with the hebrew aleph symbol, which isnt allowed in this forum. The aleph series are power sets of un-enumerables used to describe cardinality or 'size' of infinities both countable and uncountable. Cantors Aleph series helps us see how some infinities are 'bigger' than others or have a higher order than others. For example, the infinite set of natural numbers, has to be 'smaller' than the infinite set of real numbers, which is uncountable. Cantor proved this in his diagonalization argument.
For those who don't know what Aleph-0 is, the enumerable Aleph-zero category is the category of all objects and things which are enumerable, of not only numbers and symbols, but of all things which are identifiable as separate entities. It follows that the enumerate members of the Aleph-zero category are, transfinitely, in one-to-one correspondence with each other, that is to say, they are not separable from each other transfinitely. Transfinitely, all enumerates pertain to an integrated whole of finite and infinite magnitudes - the absolute. All subsets, are apart of an infinite mainset - the absolute. All members of Cantor's Aleph-zero series are not only in one-to-one correspondence with each other but, also, they are each in one-to-one correspondence with the whole or absolute.
Concerning time and transfinite life: Mathematically, life is an absolute main-set which has transfinite and finite sub-sets and the absoluteness of all sub-sets is inalienable. The absolute is wholly present in each of its parts. Essentially, from an absolute perspective which includes all view-points and all truths, all finite things are transfinite things - all things are apart of the absolute. It is impossible to make that which is absolute, un-absolute. We are apart of that whole, and as transfinite beings, while body-death ends our finite life which perceives the whole in separated parts through time, our essential being is unaffected. Time is of finite perception, but existence is absolute. A fully self-realized monadic being has no concept of time, because it is consciously aware all is one, it is aware it creates itself, and it is aware it creates its environment, it is aware it creates each eternal moment, it is fully self-realized and treats each piece of itself as such.