Mathematics and God
“The conception of an infinite sequence of
choices (or of any other acts)…is a mathematical fiction – an idealization of what is imaginable
only in finite cases Of course, infinities can be applied to sets in merely
theoretical or abstract ways but this cannot be thought to have
applicability to the real world:
The existence of a
mathematical infinity in an algorithmically finite structure results not only
in a contradiction, but also in the undermining of the axioms of finite numbers
which it was intended to complete. If devastating consequences for the whole of
mathematical reasoning (and also the applicability of mathematics to the finite
universe) are to be avoided, infinities must not be applied to real
magnitudes, successions, series, or any algorithmically finite structure
that could be considered real (such as past time).
The hypothesis
“infinite past history” or “infinite past time.” Is invalid.
infinite history
(implying infinite past time) cannot exist through any possible reality (or
contemporaneously unified group of realities) in any possible universe. There
will have to be a beginning (and a creator) of past time wherever past time
exists. Infinities not only undermine the axioms of finite mathematics, but
also the intelligibility of the finite realities to which they have been
applied. For example, the existence of an infinity in the whole of past history
would undermine the distensive separation of every part of that past history
(reducing its aggregative effect within the whole to nothing – a dimensionless
point), because an infinite distension minus any finite part, or any infinite
part which is a subset of the whole, is still infinity. But this cannot be the
case in real history, because every part of past time must maintain its
distensive separation and its power to aggregate the whole. If it did not, then
history would be fraught with irresolvable contradictions (e.g., the cat
alive and dead simultaneously).
Therefore if every
part of real history (and real time) are to maintain their real distensive
separation then every part of real history and time must contribute or
constitute (build up) the whole of real history or time, because every part
separates everything that came before it from everything coming after it. But
as we saw, no part can really contribute or constitute (build up) an infinite
continuum – its addition or removal has no effect – it does not change the
whole at all. Inasmuch as parts in an infinite whole cannot build up the whole,
they cannot cause real distensive separation of everything that came before
from everything coming after in that whole and so parts of an infinite whole
cannot be parts of real history or real time. If they were, history would be
fraught with contradictions. This leads to the conclusion that history
and time must be finite, and if finite, must have a beginning. A
beginning of time implies a Creator. This Creator would have to
be timeless.
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