illogical
Concise Oxford English Dictionary © 2008 Oxford University Press:
illogical/ɪˈlɒʤɪkl/
▶adjective lacking sense or sound reasoning.
– derivatives
illogic noun,
illogicality noun (pl. illogicalities),
illogically adverb.
illogic noun,
illogicality noun (pl. illogicalities),
illogically adverb.
'illogical' also found in these Oxford entries:

