The Collaborative International Dictionary
Impossibility \Im*pos`si*bil"i*ty\, n.; pl. Impossibilities.
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The quality of being impossible; impracticability.
They confound difficulty with impossibility.
--South. -
An impossible thing; that which is not possible; that which can not be thought, done, or endured.
Impossibilities! O, no, there's none.
--Cowley. -
Inability; helplessness. [R.]
--Latimer.Logical impossibility, a condition or statement involving contradiction or absurdity; as, that a thing can be and not be at the same time. See Principle of Contradiction, under Contradiction.
Usage examples of "logical impossibility".
The paradoxes associated with time travel are part of the subject's fascination, but they do rather point towards the conclusion that time travel is a logical impossibility, let alone a physical one.
He would be able to feel it, and never mind the distance and the logical impossibility of the idea.
True Betan, she had always considered a double standard of sexual behavior to be a logical impossibility.
They were not back in port by dinner-time: it would indeed have been a logical impossibility, since they had not yet left it, but were sweeping majestically through the close-packed craft towards the fairway.
As there has never been a political system that actually worked (the concept of the many being fairly governed by the few being a logical impossibility), each survives until its inefficiencies can no longer be tolerated.
I suppose it's simply a logical impossibility to change the past, same as it's logically impossible for a uniformly colored spot to be both red and green.
And similarly there is no logical impossibility in the view that the world was created five minutes ago, complete with memories and records.