Date: Feb 13, 2013 6:05 AM
Author: dan.ms.chaos@gmail.com
Subject: Re: infinity can't exist
I've had a look at the paper : there are at least two objections to

it :

The first appeals to an idea popularity not considered as Leibnitzian,

although the truth on the matter is more complex :

the idea of ether , namely , for space , or space-time to have

reality , it must have "matrix style" unique and absolute coordinates

for every point . The spheres are distinguished by possessing

different coordinates .

The second , affirms a mode of 'esse est percipi' , namely, a universe

cannot be 'real' without at least one 'real observer' .Such an

observer will distinguish the spheres .

Even ignoring the above objections , to the extent that they can be

real without any observer or coordinates , they are either distinct ,

or are the same object . (in the same way members of the same

equivalence class in a group are the same in a factor group ) . That

object would be something along the lines of 'the potentiality of a

sphere to be to the left and/or to the right of an observer' .

The identity of indiscernibles can be formulated as simple principle

of second order logic applicable to every mathematical object :

?F(Fx ? Fy) ? x=y.

No one would dispute it's truth with regards to real numbers, for

example .

To apply it to reality , one needs an extra piece of info/assumption :

that is, the doctrine of the pythagoreans, that the universe is

mathematical at the deepest level :

"Number rules the universe" -Pythagoras