First of all, one has to make the assumption that the universe is made up of objects, and that the objects can interact with each other. This is so basic an assumption, that I will fear the day we question it. From there I built upon Descartes, who says that other things exist because the world we perceive is larger than we can imagine, and often surprises us. Descartes then provides an argument for God, that we have an idea of God (and infinitely good), which cannot have come from anything less than something infinitely good (i.e. we cannot construct the idea of God from some combination of our perceptions of other objects in the universe.)
Unfortunately, this assumes that relationships (data transfer, collisions, whatever) between objects are consistent and can be used to determine the re of an object. I struggled for awhile, considering objects floating around in the universe, until I remembered that I was an object. From there we can see that data flow to me is consistent (following some pattern) and logical, so chances are (unless I am some special being in respect to data flow), that all relationships between objects follow logical orders. This provides a crutch for all logical arguments after it.
Actually, I have just thought now, our innate rules of logic probably stem from the sorts of patterns we perceive in the information flowing to us.
Anyway, the great collapse of reason has been averted (until I can bring myself to question objects and relationships).
Whoops! I just used logic to prove that the world is logical!
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