By
Neutral Monism's reasoning there is difference between relative infinity (at the level of collections that is the level of SOME
x and EVERY
x) and actual infinity that is the level of YES
x.
The definition of limit by
Neutral Monism's reasoning is as follows:
Let
X be a placeholder for that is summed.
If |
X -
L| = 0 then
L is called the limit of
X.
By this definition "that is summed" is at the relative level (the level of collections), where
L>0 is at the level of actual infinity (the level of YES
x, which is beyond collections)).
A concrete example of the unclosed gap between relative infinity and actual infinity, is given by the following diagram:
By this diagram there is the sum (notated by 2*(
a+
b+
c+
d+...)) of the convergent projection of aleph0 objects (with constant length X>0 each) along length X, such that 2*(
a+
b+
c+
d+...) < X, exactly because length X is beyond the sum of the aleph0 projections along it (|
X -
L| > 0).
In other words,
Neutral Monism's reasoning deals directly with the difference between relative infinity (the level of EVERY
x) and actual infinity (the level of YES
x), and no artificial forcing of the finite on the infinite (and in the traditional case, it is only relative infinity) is used by
Neutral Monism's reasoning, as it is clearly used by the traditional reasoning (abstract or physical (where
http://www.internationalskeptics.com/forums/showpost.php?p=10834527&postcount=698 is a concrete example of forcing the finite of the relative infinite, by physical science).