alogically

a·log·i·cal

A0222600 (ā-lŏj′ĭ-kəl)adj. Beyond or outside the bounds of logic.
a·log′i·cal·ly adv.a·log′i·cal·ness n.

alogically

(əˈlɒdʒɪkəlɪ; eɪˈlɒdʒɪkəlɪ) advin an alogical manner