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[Shish]

[SilentAvenger]

[tanner]

l





to shish
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ike i said if you wanna know you gotta learn maths(number theory) -- if you want to learn, then great thinkers have trod those paths before, worth reading -- you have already made your opinions clear on this thread and i would suggest that, for you, this thread may be worth avoiding in future.if it upsets you

love to all

.
however i will agree that this thread maybe should be on another forum -- however what the hell else we got too do?/

[tanner]

[Shish]

[quote="tanner"]like i said if you wanna know you gotta learn maths(number theory)[quote]

Any specific pointers? I have yet to be told which bits of the above post are wrong, which makes correcting it hard :?

And even if I'm incapable of understanding, you can still put a tick or a cross next to the points I was questioning, with an explanation or a pointer to one...

[Olorin]

At this point I wonder:
In an infinite and random thread, like this, could you find any random post, like this one?

F.O.R.

[tanner]

ok shish -- im not sure where you should start --- as i do not know you --- but its a big and beautiful subject --- so maybe formal logic would be a start

as for engineering --- i am an electronics engineer by profession but i prefer (in my spare time) number theory, poker and beer

enjoy

[Shish]

[SilentAvenger]

When refering to a random sequence/infinite number in this post, I mean a COMPLETELY random sequence, as in, one about which NO predictions can be made.

[Shish]

[thebruce]

[SilentAvenger]

Yea, we have done this proof ALOT of times in this thread. From now on I will just go LATPWHDMTA (Look At The Proof We Have Done Many Time Above), or RTFP (Read The F(G-rated-censor)ing proof).

And no, no truly random infinite stream can be repeating, as from the point it starts repeating it stops being random.

Random means you cannot say for every number, what the next number will be. You CAN say what it WONT be. You can say, that each 1 has a 2 after it, and you have no number other than 1 and 2, but you can still have infinite random strings, basically, a long stream of 2's, with 1's strewn in at random intervals.

And you cant generate a specific string randomly. Cause in a specific string, you can say what the next number will be for each number, or, using series terminology, you can provide a function for each a(n), given a(n-1)...a(1) and n, to calculate a(n), which defies the definition of random.

About infinity in calculations, the thing you need to think of is this, say instead of I you put in a REALLY big number. Anything that becomes insignificant compared to the biggest one can be assumed to be 0. Now, make it even bigger, etc., until you think it cant get any bigger, and you're done. Basically, do lim I -> infinity.


About kinds of infinity:

Think of all the integers.
Now think of all the Real numbers.

Integers = alpha-null.

Now, consider all the subgroups within alpha-null.
Given a subgroup S and a number N, N could either be in (1) subgroup S, or not in (0) subgroup N.

Therefore, there is 2^alpha-null subgroups of Integers.

Now, consider all the subgroups within the group of subgroups of integers....
2^(2^alpha-null) etc.

Now, assume we do this lim -> Infinity, we end up with aleph-infinity, or aleph-aleph-null, transfinity, and we can have aleph-2^(aleph-null).

*Watches heads explode*

thebruce, the problem is that you cannot completely generate a full infinite random stream, therefore you can never know if its 1's that go on forever. The chance of an infinite generated stream S being the 1's string is 1/inf. Consider the meaning of that as you will.

[Rei]

[firefox]

so the monkeys did get there first. hmm go figure

now that you've warmed up those big juicy brains of yours, how about running over to the postcard thread and solving that number

or we could discussing time travel? or the possibily of creating a self sustaining wormhole to travel between parallel space continuums, which feeds off the natural chaos or black (dark even ) matter present around us in the univers.....

[Shish]