Despite its being highly illogical and utterly improbable, all five of her senses insisted that she wasn't exactly in Kansas anymore.
To dismiss such a notion out of hand simply because we have not witnessed it firsthand would be highly illogical.
"It would be highly illogical to trust the word of-" "I understand that."
However, I must point out that your move of the king's knight was highly illogical.
I realized that I behaved in a highly illogical fashion.
To say that ships would sail round the opposite side of the hill from the river seemed highly illogical to those who first heard the prediction.
I found these highly illogical, and as I gathered that you did too, there seemed no point in raising the subject.
"Though it is highly illogical to let one's emotional impressions dictate action."
It would be highly illogical, and a waste of both our times, to prolong the process.
"It is highly illogical to think that 'popping' this moon would be a solution," Spock said.