Re: Foundations
"Logos"
At each moment an infinite is one thing, in the next instant it contains properties of the former thing and becomes something else. What would prevents a collection of infinite elements (mindful they are bounded) from being collected and approximated? Accuracy and precision are scale issues.
You are wrong, Infinite elements can only be finitely bounded, they can't be infinitely bounded. If they were infinitely bounded, then they would be unbounded. What kind of logic do you have?
Why is it more plausible to relegate the idea, of simply being, to an extrinsic creator rather than to the intrinsic essence of nature?
You did not explain what would cause a certain amount of matter to exist. I didn't even ask if a creator made the matter and you didn't answer my question.
Philosophers of antiquity applied ab initio,
first principle deduction, to establish existence as intuitive and immutable. They sought a
monad, a smallest geometric entity, of which all things were a common multiple. It is a philosophical foundation of
monism.
At no point does it imply a distinction between a creator and the creature.
Guess what? My pi paradox doesn't involve a creator. It simply involves a cause where a creator would do "work".
The second statement is counter intuitive to the essence of a foundation with elements of infinite quality. The first statement is counter intuitive to temporal facility.
Your second sentence doesn't make any sense and has no backing, aka claim by opinion. You did not answer the question on how can a computer calculate pi without beginning, assuming that matter existed forever. You just make claims and opinions about a statement without no proof. Why don't you say "hey, this sentence assumes time existed forever". Well don't people in this forum believe that, so that is why I assumed time existed forever in those 2 statements.
Although, being bounded but infinite says nothing about the countability of the collective of elements, that does not detract from the temporal interaction of their perpetuation, which obviously involves assimilation.
Wrong, actual infinitely can never be represented through the use of numbers, just as pi can't be FULLY represented through the use of numbers. You have no idea what your talking about.
You think infinity involves assimilation? :rofl
How pathetic.
How do you know?
The most that you can legitimately say is that you don't see how time can reach infinity.
No, how about going at an infinite speed to reach a finite distance away with no time used when doing so. Is that legitimate? Is time is the "4th dimension", then can you go an infinite speed across it?
I don't recall anybody making any claims about how fast time goes...
?????
Because our counting system is composed of defined, finite numbers that means that infinity cannot exist????
Funny that you'd claim that. Mathematics give us an infinite number of actual inifinites. The set of all fractions between 0 and 1, the set of all fractions between 1 and 2, the set of all fractions between 2 and 3, ad infinitum.
Lets see if perfect circles exist in reality. Fractions simply represent real (or non-existent) numbers.
35/100 = 0.35
35/99 = 0.353535353535...
How fast the computer would be computing pi is moot.
You still have the same problem.
The contradiction is still that you are trying to claim that the computer has existed eternally, and are also trying to give it a starting point.
Your contradiction is still in your basic premise.
No, I purposely made 2 paradox's which 1 paradox had premises for without a beginning. And another paradox which premise had a beginning.
Your contradiction is still that you are trying to define the computer as eternal and having a begining.
Wrong, I did not say the computer had a beginning. I simply pointed out that every cause and effect is governed by the cause and effect of the past.
http://en.wikipedia.org/wiki/Laplace's_demon
If every speed and direction of matter was calculated, would you expect the future time to be based on past direction and speeds of matter?
What your assuming is not logical. Do you believe that the future is determined by the present and/or past?
The NeS paradox forever
1. time is constant.
2. The computer
existed forever.
3. The computer calculated 1 digit of pi a second.
4. The computer would have calculated
an infinite amount of digits by the time our state of existence.
The NeS paradox beginning
1. time is constant.
2. The computer came in to
existence at a point of time.
3. The computer calculated 1 digit of pi a second.
4. The computer would have calculated
a certain amount of digits by the time our state of existence.
LOOK AT THE BOLD PRINT TO SEE WHAT CHANGED!
Now everyone's going to reply saying that nes paradox forever has contradictions that the computer had a beginning. No where does it say that. Tell me which sentence number implies that statement. Think the nes paradox forever is false? Good, because the nes paradox beginning is true.