Synonyms of illogical

1 Syllable
mad
2 Syllables
wacky, silly, sappier, sillier, groundless, screwy, fatuous, madder, nutty, faulty, maddest, absurd, cockeyed, spurious, sappy, unsound, specious, silliest, false, hollow
3 Syllables
casuistic, birdbrained, incorrect, mistaken, sophistic, inanest, fallacious, meaningless, ill-founded, invalid, incongruous, unbacked, unproved, senseless, inane, far-fetched, unfounded, farfetched, obscurer, nonviable, reasonless
4 Syllables
unscientific, implausible, irrelevant, unthinkable, irrational, muddleheaded, untenable, preposterous, disconsonant, inconsequent, impractical, unsubstantial, disconnected, unconnected, sophistical, scatterbrained, infeasible, unreasoned, inconsistent
5 Syllables
unreasonable, unnegotiable, inconclusive, unserviceable
6 Syllables
self-contradictory, counterintuitive, unbusinesslike