Pah
Uber all member
Both religion and science begin with thought - separately.SPLogan said:Religion is the beginning science. You must begin with a datum of super-nature to investigate nature. Theres no other place to set it. (unless you can count to infinity)
While you are some what right about data being dependenrt on lower orders ofd data , you have not accounted for postulization.. Science can accept the inaccurances of measurement. and still postualte a therory, conduct tests with the acurracy of the data postulated and prove the theory. When that process is repeatable by others with accuracy to the same degree or better enough times, it becomes scientific law. One of the problems with religion is that is has nothing to measure and accuracy is irrevelant. None of religions axioms or postulates have been proved. It is foolish to talk of God's salvation when God has not been proven to exist. The scientific method negates God
What's the problem counting to infinity? Time perhaps! But not with mathmatics - !+2+3 ...+n+(n+1). In mathmatical fact there are more than one infinity.
Aleph-null
Aleph-null is a transfinite number as defined by Cantor when he proved that infinite sets can have different cardinalities or sizes. Aleph-null is by definition the cardinality of the set of all natural numbers, and is the smallest of all infinite cardinalities. Any set of cardinality Aleph-null can be put into a direct one-to-one correspondence (see bijection) with the integers, and thus is a countably infinite set. Such sets include the set of all prime numbers, the set of all squares of integers, the set of all positive integers, and the set of all integer multiples of a given non-zero real number n.
Aleph-one is the cardinality of the set of all countably infinite ordinal numbers. It can be demonstrated within the Zermelo-Fraenkel axioms (without the axiom of choice) that no cardinal number is between aleph-null and aleph-one. If the axiom of choice (AC) is used, it can be further proved that the class of cardinal numbers is totally ordered, and thus aleph-one is the second-smallest infinite cardinal number. Aleph-one is pretty uninteresting without AC; using AC we can show one of the most useful properties of aleph-one: any countable subset of aleph-one has an upper bound in aleph-one (the proof is easy: a countable union of countable sets is countable; this is one of the most common applications of AC). This fact is analogous to the (also very useful) fact that any finite subset of aleph-null has an upper bound (finite unions of finite sets are finite).
http://www.fact-index.com/a/al/aleph_number.html
Just two of the infinite number of infinities.
-pah-