Brainteaser/Puzzle Corner (Part 5)

Now that I give it another thought I should have said I think I can show why. But let me hive it a wack anyway. Assuming we are talking about a circle and the line of such (not the area contained inside sine it is not part of the circle) So the only that could be infinite about the circle is either the radius or the circumfrance im going to run with the radius because the function is easier. r^2 = x^2 + y^2  with the aqssumption r = infinity. rewritten in terms of y,
y = (r^2 - x^2)^(1/2)  with the derivative being -2x(1/2)(r^2 - x^2)^(1/2) now assuming r = infintity and the only way for that to happen is either x or y is infinity, that would mean the only things the derivative could be is either 0 or infinty either one would create a straight line.

Now im not sure if that makes my point but it is my guess also the same thing would apply to a sphere but you would have another variable.

EDIT: @quanta I think my logic is correct but that is only with my current understanding of math and 2d/3d objects if I new more I would try and say more.

 

lol square? stop smoking deh pot

'twas a line. circles have curvature, which changes depending on size, which is why you can only see a little sliver of the big earth. an infinite circle is a line.

that the universe has some 27 dimensions(i think that was it) we really don't have a name for it's shape. but i would guess that it's a...what do you call it, a 3D oval? it's round, is up-down, and is always expanding.



to explain the circle a bit better, imagine a circle on your screen. take a little section, say 6 inches, of the circle and look at the curve. not imagine a bigger circle, and 6 inches will have less curve. 6 inches on a planet has a barely noticeable curve. an infinite circle will be so big, the curve will be 0, making it a line.

 

ssjfox, its been a long time since I read any books that covered the subject.  I don't remember the details exactly so maybe I shouldn't say the shape of the universe is definitely not a plane.  I know one things for certain.  The universe is finite.  if I remeber right the authors I was reading argued that that universe also was unbounded.  For both of those things to be true the universe must curve back on itself in a higher dimension.  In which case the universe would not be a plane but probably a 4 dimensional doughnut shape.

PS 27 dimensions is to high, I remember vaguely what you are reffering to but I think its out of date, I think.  I know M theory predicts 11 dimensions including time.  However, according to the theory, the other 7 spacial dimensions are curled up upon themselves so that they are very very small and thus not noticed by us.

PPS I would still argue an infinite circle would have no bound so that there would be not straight line to talk about.

 

Ok... now that all that is done how bout we stop with the science (and yes I understand it, I'm not just trying to get rid of it, oh and I cant spell) and get back to our riddles yay riddles I love some riddles. :drunk: I think I'll go smoke some more pot :drunk:

 

see the life a good riddle breaths into this thread that a stupid picture doesn't?

2900
i r teh spawn

 

What is it like a quote? If it is I'll just say infested terran until I know if its a actual quote or not.

 

I hesitate to post this since I'm not sure any of you have the required knowledge to answer it but I may be wrong and at any rate it will make you think.

I am part of a larger whole yet I am whole myself.
My parts are many and each is as whole as I.
My bounds are finite as well as the bounds of the larger whole
The same is true for the bounds of each of my parts
Yet the sum of the bounds of my parts is infinite
And at the same time no part contains any area

PS, this is for how ever many minerals I have on hand when this is answered. At the moment that's 55 but that should rise.

 

black hole

 

fractal?

 

an integral? (I only mention this because there are some that have those properties but my guess would have been a gravitational singualarity...)

 

a number?

 

atom? or atom part?

 

a good someone got is right away. A fractal is the correct answer.

 

New one, for a power up, what percentage of integers contain the digit 3.

 

10%

If you dont like 2 guesses discount this one.

 

11.1% where the decimal is infinitely repeated.

 

None you can't take a percetage of infinity

 

Now that I think about it its 100% or 99.999999999999.....% they are pretty much the same thing.

 

power up for LordKerwyn, owerup: the correct answer is 100%. Some of you may scoff since there are obviously numbers that don't contain a 3, however, that does not change the fact that 100% of integers contain the ditig three.

The question can be reworded to ask what is the probablility of picking a random integer and it having the digit 3. You could reword this again to ask what is the probabliity of picking a random integer and it not containing a 3. There is a 9/10 chance that any given digit will not be a three. Since any random integer will contain an infinite numbe of digits the probabliity of none of them being a three is ( 9/10 )^infinity, which goes to zero. Thus the probability of picking a random integer with the number 3 as a digit is 1, or 100%. Meaning the percent of integers with the digit 3 is 100% and in fact any random integer will contain an infinite number of digits that are 3 or any other number for that matter.

 

where do you guys learn this stuff? I've never hear of such wierd ideas.