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Two mutually exclusive or contradictory categories. (like when you flip a coin)
You cannot have linear square footage because: "linear" means the measurement is 1-dimensional. "square" means the measurement is 2-dimensional. The above two statements are mutually contradictory!
It's more of a philosophical term in general. It refers to two or more conditions which can't be true at the same time. For instance, the statements "There is a god." and "There is no god." are mutually exclusive.
oxymoron
Inconsistent