Since I can't write an aleph or subscribe a digit I'm writing it as pronounced - which at least where I did my degree was aleph null.Fascinated With God said:Aleph-null is actually aleph-zero (in German zero and null are the same word, but not in English, so calling it null is very misleading).
2^aleph-0 = c, but whether c = aleph-1 depends on the set theory one is using and is undecidable.Aleph numbers are closely related to powers, for example 2 to the power of aleph-zero equals aleph-one: And in general . So increasing aleph numbers are very much like increasing powers.
That's far to vague.The point remains that Georg Cantor, the founder of Set Theory, stipulated that the process of constructing symbols to describe larger and larger infinities is itself an infinite process, thus logically, the set of all things, Absolute Infinity, must be larger than any infinity that can be constructed with symbols.
Clear proof of a Creator who is much larger than the visible universe. It is a subject that really gets atheists very emotional and angry.
What is God?
This is not a trick question, and is only my way of trying to get information.
I am a secular person wishing to appreciate how believers understand God. Honestly, I'm not looking for a debate or anything like that; and I'm not looking to be converted, either.
I would just really like to hear how believers answer this not-so-simple question.
Thanks.
Karl
So what is your point? Are you attempting to deny that aleph one is greater than aleph zero?2^aleph-0 = c, but whether c = aleph-1 depends on the set theory one is using and is undecidable.
Naturally you would think so since you are doing everything you can think of to evade Cantor's definition of Absolute Infinity.That's far to vague.
No. That the relation between the two is more nuanced than you suggest.Fascinated With God said:So what is your point? Are you attempting to deny that aleph one is greater than aleph zero?
I'm not trying to do anything except point out where half understood mathematics is being misused.Naturally you would think so since you are doing everything you can think of to evade Cantor's definition of Absolute Infinity.
What is God? ...I would just really like to hear how believers answer this not-so-simple question.
So once again, can you make a point that actually nullifies Cantor's notion of Absolute Infinity in any manner? If you acknowledge that increasing aleph numbers are larger then it sounds like you can't.No. That the relation between the two is more nuanced than you suggest.
Aleph-1 is greater than aleph-0 by definition. , but whether or not not it is c is undecidable.
I'm not trying to do anything except point out where half understood mathematics is being misused.
Pretty much the first thing one learns about transfinite cardinal numbers is NOT to treat them intuitively - the mathematics must be absolutely rigourous or its almost certainly wrong.
Fascinated With God said:So once again, can you make a point that actually nullifies Cantor's notion of Absolute Infinity in any manner? If you acknowledge that increasing aleph numbers are larger then it sounds like you can't.
The way I describe it is the way Cantor described it with the only version of set theory that existed in his day. The fact that set theory is more nuanced today is not relevant to the subject unless that nuance in some way nullified Cantor's definition of Absolute Infinity. If increasing aleph numbers describe larger and larger infinities then an extremely elementary analog to Cantor's argument can be made just as easily in even the strangest of modern twists on set theory.
Fascinated With God said:So you still can't address the principle topic, all you can do is evade the topic and split hairs over minutia. That is not rigor in logic, that is nothing more than polemics.
You are a classic case example of a dupe to the subtly atheistic undertones that still resonate in science that get these people so riled up. You are doing nothing put playing into the hands of the anti-scientific crowd by being such a dupe.
what is where?Fascinated With God said:It is Cantor's argument as he made it.
The quality of any argument depends on the quality of the argument, not whether one agrees with the conclusion.Why do you feel such an urge to attack Cantor's argument for the existence of God?
Do you really believe in God? If so, then why do you feel so compelled to try and discredit Cantor's argument for the existence of God?
are you sure about that? Biology is where the extreme is, certainly.This is not rhetoric, you are doing nothing but proving the Creationists right about the atheistic bias to science. Outside of biology atheism is no longer a majority view,
Fascinated With God said:Your argument is nothing but pure polemics. In order to knock down Cantor's very simple definition of Absolute Infinity you would have to...[ /QUOTE]
Examine the whole argument.
I haven't tried. What I have said is that if you want to present a mathematical argument you need to present a rigorous mathematical argument, not a few random inaccurate bits of maths and an appeal to authority.Fascinated With God said:I have and you have abjectly failed to demonstrate that there is a largest infinity, and thus you have failed to making any argument that meaningfully contradicts Cantor's definition of Absolute Infinity.
I've no idea what you think that meansThe only thing you have accomplished is playing into the hands of the anti-scientific crowd and convincing them that they are correct that science is an atheistic ideology.
All you can do is evade the topic. You have yet to directly address the topic of Absolute Infinity. Your purely polemic arguments are nothing but condescending rhetoric. You appear to have no comprehension of Cantor's argument.I haven't tried. What I have said is that if you want to present a mathematical argument you need to present a rigorous mathematical argument, not a few random inaccurate bits of maths and an appeal to authority.
That is because you lack common sense. Only a very confused person would play into your opponents negative stereotypes of you.I've no idea what you think that means