It is not the wish that is impossible, nor even the actuality but the reconciling of it with "reality", or the observable circumstances and rules of the situation. If I were to look out to the world I would see that strife and dissention are endemic. Knowing the extent of my ability to change the whole world, logic would conclude that it was an impossibility.
Logic has not stopped me, because I abandonded it. (or discard it when not needed) I chose to disagree with the "rules" and observable phenomenon.
If logic is the coherence of cause and effect, and in the model of life as when generally know it, which generally excludes the supernatural and miraculous, logic is not the path to achieve effects outside the model.
Model=context=universe=gestalt=paradigm=reality etc...
The very notion of logic excludes factors outside the scope of it. Which is where the spirit plays....
alex