Given your present beliefs, it logically follows that a necessarily existent Being capable of
spontaneous free action exists.
You believe that it is possible for a maximal collection of contingent
things, C, to exist. Now C would be a contingent thing, since C’s non-existence
is possible (this follows from the fact that every part of C is contingent, and
C only exists if all its parts
exist).
You also believe that any contingent thing (other than a free action)
that begins to exist must have a cause. That means that if C began to exist, it
must have a cause. No contingent
thing could possibly cause C or any other maximal collection, since every
contingent thing compatible with C is part
of C, given that C is maximal (and no
cause can be part of its effect, as I stipulated at the outset). Therefore, the
only possible cause of C has to be a non-contingent
being, a.k.a., a necessarily existing Being—a being that, by definition, exists
in every possible world, if it exists at all.
Now if any possible world had a being that exists in all
possible worlds, then that being would exist in the actual world, too (given
the modal axiom, S5). It follows that if it is really possible for C to have a
cause, then there really is a necessarily existent Being, N.
Now N can cause C by a free action, by a non-free action, or by a
non-free non-action. In all three cases, N’s
causing C would be a contingent state of affairs, for otherwise C would be necessary, which is a contradiction.
Since C contains every contingent thing compatible with it other than free actions, C also includes N’s causing C, unless N’s
causing C is a free action. But if C includes N’s causing C, then N could not cause C without causing N’s causing C, which is circular.
Therefore, N’s causing C cannot be included
in C, which entails that N’s causing C
is a free action.
Note: I did not assume at the outset that some free actions are
impossible to cause. Rather, I left it open
whether or not free actions would be an exception to the general principle that
every beginning has a cause. One can believe that every beginning other than
free actions possibly has a cause without
being sure if any free actions would require cause. However, once one follows
the above argument, then one may see
that some free actions don’t require a cause.
Your
beliefs may have further implications. Would you like to Continue?