Is Pi An Illusion?

[addictedartist]

yes, It is a three dimensional image, the shadow of a fourth dimensional image, similiarly how ancients considered the stars the gateway to the fifth dimension which creates fourth dimensional shadows.


1+2=3 is the same whether its apples or oranges, math is as much a language of the universe as radio waves.

 

[DeadonDreaming]

But, 1+2 = 0 sometimes, how does that have anything to do with apples or oranges?

 

[pjoa09]

yes, It is a three dimensional image, the shadow of a fourth dimensional image, similiarly how ancients considered the stars the gateway to the fifth dimension which creates fourth dimensional shadows.


1+2=3 is the same whether its apples or oranges, math is as much a language of the universe as radio waves.

pie?

 

[Paintzee]

Imagine a length, any length approaching zero to approaching infinity. This is the x axis. Now imagine a second length, its only criteria be that it be equal in length to the first length. This is the y axis. These two lengths represent any length in space. If the length is defined as one unit, using Pythagoras theorem the hypotenuse is an irrational number, the square root of two. This length in space must also exist if the other two lengths are absolute, therefore none of the lengths can be absolute. An absolute point cannot exist, only a distribution around a point.

 

[DeadonDreaming]

Imagine a length, any length approaching zero to approaching infinity. This is the x axis. Now imagine a second length, its only criteria be that it be equal in length to the first length. This is the y axis. These two lengths represent any length in space. If the length is defined as one unit, using Pythagoras theorem the hypotenuse is an irrational number, the square root of two. This length in space must also exist if the other two lengths are absolute, therefore none of the lengths can be absolute. An absolute point cannot exist, only a distribution around a point.

Why if the length exists as the square root of two multipled by your original unit length and the two other lengths are absolute (which means, I'm guessing, a definite real number) must none of the lengths be absolute?

 

[Etheri]

If the length is defined as one unit, using Pythagoras theorem the hypotenuse is an irrational number, the square root of two. This length in space must also exist if the other two lengths are absolute, therefore none of the lengths can be absolute. An absolute point cannot exist, only a distribution around a point.

At first glance, what you're saying seems coherent and acceptable. If you prefer to step away from the idea of absolute points rather than working with irrational numbers, that is fine to me. As stated, when it comes down to the actual reality we live in, irrational numbers do not matter. But they do exist, and are very useful in our ideal mathematical world.

So in your mind, or mathematical setup, there are only fractions? If this is the case, which fraction represents sqrt(2)? I'm assuming you can't pinpoint a single one, since, by your proof, exact points don't exist, thus exact lengths can't exist either. While I don't see why you'd work like this, I guess that knowing there's always heisenberg and measurement errors, it shouldn't make a huge diffrence. In the end, when it comes down to real applications, we almost always use rational approximations of our irrational numbers anyways.

 

[BigApplePi]

You may have gotten 4 but yer still wiggling.

 

[Paintzee]

If you want a mathematical proof use set theory, not difficult.

Pi and it's brother square root of 2 are nature's way of letting us know that it abhors such things as infinite density, singularity of a black hole for instance.