What does the word illogical mean?

Usage examples for illogical

  1. And, indeed, to tell the truth, I should have considered the slightest departure from the precise law of fate illogical. – French and Oriental Love in a Harem by Mario Uchard
  2. When my children were small, and my little boy came and climbed up in my lap and expressed himself in all sorts of illogical and foolish ways, telling me every sort of thing he wanted, impossible things, unwise things, things I could not get for him, things I would not get if I could, because I thought myself wiser than he, did these things trouble me? – Our Unitarian Gospel by Minot Savage