Illogical rhymes with:
archaeological, archeological, astrological, biological, biotechnological, chronological, dermatological, ecological, epidemiological, eschatological, geological, gynecological, ideological, immunological, logical, meteorological, methodological, morphological, mythological, neurological, ontological, pathological, pharmacological, phonological, physiological, psychological, radiological, sociological, technological, theological, topological, toxicological, virological, zoological