Some philosophers may tell you that there isn't geometry in nature, and that your mind imposes a geometry, allowing you to see beyond fragments of sense data to a gestalt.

Now, although we may have the impression that our perception of space depends upon only the functioning of our minds and organs of perception, and that space itself is simply exists and requires no process to maintain, some theological views assert otherwise. For example, it has been said that it requires the active will of God to maintain the universe in existence.

Now, although seeing yourself in a mirror, and reading about the physiology of the eye may persuade you that we understand the true nature of space, is there any reason to believe that you wouldn't perceive such things if your mind were interacting with a simulation of physical reality? Alternatively, what if there is no underlying physical universe as a basis for a simulated reality, and it is the active creation of your perceptions that maintains the appearance of your interaction with a physical universe? In that case, a miracle wouldn't require God's intervention in a self-regulating physical universe. God could provide you with a gift-wrapped present, and God wouldn't have to decide what is inside until somebody opens the wrapping.

Problems in architecture, surveying land, map-making, and navigation helped to motivate the development of geometry. We have no evidence that such a simple thing as Pasch's postulate was discovered until after a series of civilizations had come into existence and then faded away. Although any given view regarding the ultimate relationship between human beings and geometry may depend upon metaphysical presuppositions, it seems to be beyond dispute that our understanding of geometry has been a byproduct of the formation and development of civilizations -- and competition between rival civilizations -- over a vast period of time.

Some philosophers may tell you that there isn't geometry in nature, and that your mind imposes a geometry, allowing you to see beyond fragments of sense data to a gestalt.

Now, although we may have the impression that our perception of space depends upon only the functioning of our minds and organs of perception, and that space itself simply exists and requires no process to maintain, some theological views assert otherwise. For example, it has been said that it requires the active will of God to maintain the universe in existence.

Now, although seeing yourself in a mirror, and reading about the physiology of the eye may persuade you that we understand the true nature of space, is there any reason to believe that you wouldn't perceive such things if your mind were interacting with a simulation of physical reality? Alternatively, what if there is no underlying physical universe as a basis for a simulated reality, and it is the active creation of your perceptions that maintains the appearance of your interaction with a physical universe? In that case, a miracle wouldn't require God's intervention in a self-regulating physical universe. God could provide you with a gift-wrapped present, and God wouldn't have to decide what is inside until somebody opens the wrapping.

Problems in architecture, surveying land, map-making, and navigation helped to motivate the development of geometry. We have no evidence that such a simple thing as Pasch's postulate was discovered until after a series of civilizations had come into existence and then faded away. Although any given view regarding the ultimate relationship between human beings and geometry may depend upon metaphysical presuppositions, it seems to be beyond dispute that our understanding of geometry has been a byproduct of the formation and development of civilizations -- and competition between rival civilizations -- over a vast period of time.