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All that exists is finite

By giving essence to existence we give substance to the question of what it would mean for an infinite structure to exist. A defining property of infinite sets is that one can add something without changing them. A defining property of conscious experience is its indivisible wholeness. Any change in its structure changes its essence.

This suggests two classes of existence. The first is immediate gestalt experience. The second is the collection of all such experiences. This collection may be infinite, but is not an immediate gestalt experience. Mathematics already has such a distinction between sets and classes. This was necessary because of the contradictions that arise from assuming there can be a set that contains all sets. There is a class of all sets that cannot be a set. We are suggesting that this necessary boundary occurs between the finite and the infinite.

Mathematics studies all possible structures. The only constraint is logical consistency. The same constraint would seem to apply to a gestalt. When we have an immediate conscious experience it is a definite unique event. It may have many ambiguous interpretations, but the experience itself is exactly what it is. A patch of color cannot be red and also not red. As mathematics is the study of all possible logical structures it is also the study of the structure of all possible gestalts.


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