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When we (humanity) divided the world with words, we got an empty middle within words instead of the world.
What this empty middle is, depends on whether we believe we have invented or found words. If we believe we have invented words, then the empty middle is an uncertainty (where the probability is 1), whereas if we believe we have found words, then the empty middle is a paradox like the “Higgs particle” of particle physics.
None if these possibilities does thus exist outside of words, but are instead both merely products of our division of the world with words. However, since only the former agree with this fact, only it is consistent with the world outside of words. Only the belief that we have invented words is thus consistent with the world outside of words.
This conclusion is as far as we can come to an understanding of what the world outside of words IS. We can, however, reach a total understanding of HOW the world FUNCTIONS by mathematics.
Another contribution to understanding of conceptualization http://menvall.wordpress.com/