What is another word for logically impossible?
Pronunciation: [lˈɒd͡ʒɪkli ɪmpˈɒsəbə͡l] (IPA) 
When something is logically impossible, it means that it cannot occur within the parameters of reason and reality. Synonyms for this phrase include absurd, inconceivable, irrational, nonsensical, preposterous, and unrealistic. These words all describe a situation or idea that defies logical reasoning and cannot be explained or understood within the given context. Other synonyms for logically impossible include unfathomable, unworkable, unimaginable, and implausible. These words emphasize the idea that the situation or concept is beyond comprehension or the scope of reason. Regardless of which synonym is used, they all describe a situation that simply cannot exist or occur within the boundaries of reason and logic.
