Suppose time is discrete. The usual story then is that we are always
at some *point* of time. But what if, instead, we are always
*between* times? I.e., the times themselves are something like
imaginary points—we don’t occupy them on their own. It is only the
interval between two successive times that we occupy, and we occupy the
interval as a whole. Such an interval is a “now”.

If *t*_{n}
and *t*_{n + 1}
are successive times, then we say that at (*t*_{n},*t*_{n + 1})
(think of this as an ordered pair *or* an interval—your choice of
mathematical representation!):

*x*is*F*iff*x*is*F*at*t*_{n}and at*t*_{n + 1}*x*is non-*F*iff*x*is non-*F*at*t*_{n}and at*t*_{n + 1}*x*exists iff*x*exists at*t*_{n}and at*t*_{n + 1}*x*non-exists iff*x*is does not exist at*t*_{n}or at*t*_{n + 1}*x*is changing from*F*to non-*F*iff*x*is*F*at*t*_{n}but not at*t*_{n + 1}*x*is changing from non-*F*to*F*iff*x*is non-*F*at*t*_{n}and at*t*_{n + 1}*x*is coming into existence iff*x*exists at*t*_{n + 1}but not at*t*_{n}*x*is ceasing to exist iff*x*exists at*t*_{n}but not at*t*_{n + 1}*x*is coming to be*F*iff*x*is*F*at*t*_{n + 1}and either does not exist at*t*_{n}or exists at*t*_{n}but is not*F*then*x*is ceasing to be*F*iff*x*is*F*at*t*_{n}and either does not exist at*t*_{n + 1}or exists at*t*_{n + 1}but is not*F*then.

Here is a plausible thesis:

*x*fails to exist or*x*is*F*or*x*is non-*F*.

On the theory we are exploring, this is false in a now. Instead:

*x*non-exists or is coming into existence or is ceasing to exist or is*F*or is non-*F*or is changing from*F*to non-*F*or is changing from non-*F*to*F*.

This theory is a variant of one I tried out in an earlier post, minus the possibility of the now being a point.

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