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komponisto comments on Open Thread: May 2010, Part 2 - Less Wrong
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Except that....that isn't a logical contradiction!
You have inadvertently demonstrated one of the best arguments for the study of mathematics: it stretches the imagination. The ability to imagine wild, exotic, crazy phenomena that seem to defy common sense -- and thus, in particular, not to confuse common sense with logic -- is crucial for anyone who seriously aspires to understand the world or solve unsolved problems.
When Albert Einstein said that imagination was more important than knowledge, this is surely what he meant.
I can see how that phrasing would strike you as being redundant or inaccurate. To try to clarify --
The rocks not occupying the same point in space is a logical contradiction in the following sense: If it wasn't a logical contradiction, there wouldn't be anything preventing it. You might claim this is a "physical" contradiction or a contradiction of "reality", but I am attempting to identify this feature as a signature example of a sort of logic of reality.