ILLOGICALLY
illogically
(adverb) in an illogical manner; “she acted illogically under the pressure”
Source: WordNet® 3.1
Etymology
Adverb
illogically (comparative more illogically, superlative most illogically)
In an illogical manner, without following methods of sane and correct reasoning, in a manner lacking thought or logic.
Antonyms
• logically
Source: Wiktionary
ILLOGICAL
Il*log"ic*al, a.
Definition: Ignorant or negligent of the rules of logic or correct
reasoning; as, an illogical disputant; contrary of the rules of logic
or sound reasoning; as, an illogical inference.
– Il*log"ic*al*ly, adv.
– Il*log"ic*al*ness, n.
Source: Webster’s Unabridged Dictionary 1913 Edition