Re: infinity

sci.math_20050417:
It's easy to see, and probably not too misleading, that there are as
many points, on a line segment, as there are line segment on a square
and squares in a cube. That's an advantage of the infinite dimensional
perspective.

sci.math_20050417_b:
I think it may be possible to illustrate to you why there are
infinitely many values of at least one thing in the universe. Consider
any two masses, there is the force of gravity between them, as a
function of their distance. Because it is seen as a force, the
velocity, acceleration, and third and fourth and so on derivatives of
position with respect to t, time, exist, infinitely many of them, and
because the force varies continuously as a function of the distance,
none of the higher derivatives are ever zero.

sci.math_20050417_b:
The units of those higher dimensions, or rather, derivatives, are m/s,
m/s^2, m/s^3, ..., ad infinitum.

.

Relevant Pages
Quantcast