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Time is fundamental to our existence. Things change with time and there seems to be a creative element to time. The physical universe evolves over time. Biological evolution creates more complex creatures over time. Human culture advances in complexity over time.
The instinct in the mathematical search for absolute truth is to eliminate any fundamental philosophical significance to time. Sets exist absolutely. They do not exist in time. But if the world is as it seems this may be the wrong approach. Mathematics may not involve the discovery of preexisting infinite structures. It may instead involve the creation of objective truth about what may happen in a universe that could be potentially infinite but has no actual or completed infinite totalities. This suggests that mathematical truth can be both creative and experimental.