alogical

From a- +‎ logical.

alogical (comparative more alogical, superlative most alogical)

1. Not based upon logic or reasoned argument.
2. Opposed to logic.

• logical

• illogical

• John A. Simpson and Edmund S. C. Weiner, editors (1989), “alogical”, in The Oxford English Dictionary, 2nd edition, Oxford: Clarendon Press, →ISBN.

• colalgia