It is possible to have a simple that exists at more than one time.
Four-dimensionalism is true.
So, temporally extended simples are possible. (By 1 and 2)
If four-dimensionalism is true, the time and space are metaphysically very similar.
So, probably, spatially extended simples are possible.
1.It is certain without any possibility of error a simple exists.
ReplyDelete2.Four-dimensionalism is true.
3.Temporally an extended simple is physically real. (By 1 and 2)
4.If four-dimensionalism is true, time and space are equivalent.
5.So, spatially extended simples exist.
You may take issue with proposition 1. (which is global; conclusion 5 is local)
ReplyDeleteHowever, proposition 1 has only two options:
1/ a simple is identical with itself.
OR
2/ a simple is non-identical with itself.
In either case a simple is a piece of information; hence a certainty.
Clearly, a simple is non-formal; hence non-intelligible without recourse to the Principle of Limitation which defines a simple.
The inferences cannot be contradicted.
Upon reflection the global simple is stronger if it is defined as:
ReplyDeleteA simple is non-identical with itself. A simple is identical with itself.
The advantage of using this global structure is that it leads to proposition 5/ straight forwardly:
1/ simple is non-identical with itself -> a zero-solution that does not lead to additional physical phenomenon.
2/ simple is identical with itself -> an extremization solution that leads to physical phenomenon.