[dog77_1999]

The real question is how are you dividing the paper? If you use a knife, the smallest size paper you could end up with would be the thickness of the blade of the knife plus 2 paper molecules for each of the lengths of the paper. Now if you are tearing it, it would be the size of one paper molecule.

Now if you are just folding it, that's a whole other animal right there. Would you stop once the paper starts to rip? If so, you need to calculate the maximum allowable shear stress that the paper could have(dependent on what kind of paper it is mind you). If you would count ripping, you would then be limited by the force the folder can apply, that is if you are using only human power to fold.

Can you be more precise on what you asked?

[Knoss]

Quote:

As a matter of fact, Godel's Incompleteness Theorem, provided that no logical system can show all truths to be true or all falsehoods to be false. In other wrods, using mathematics, some truths will remain unknowable. Turing expanded on this concept wiht his Halting Problem. Roger Penrose presented a fascinating argument that only a non-raitonal intelligence could have developed Godel's Incompleteness Theorem (that is to say, a computer could not, even in princinple, discover Godel's Incompleteness Theorem).

So True, and this is the limit of computers the use of irrationally or artistic thought in the development of mathematical theorem, and the philosophical use of mathematics.