incomprehensible
inexplicable
abnormal
absurd
ambiguous
ambivalent
anomalous
antinomic
baffling
barred
bewildering
closed-out
conflicting
confusing
contradictory
contrary to reason
disproportionate
enigmatic
equivocal
excluded
hopeless
illogical
impossible
improbable
incoherent
incommensurable
incommensurate
incompatible
inconceivable
incongruous
inconsequent
inconsistent
inconsonant
ironic
irreconcilable
logically impossible
mysterious
not possible
out of proportion
oxymoronic
perplexing
preposterous
problematic
prohibited
puzzling
ridiculous
ruled-out
self-contradictory
unimaginable
unthinkable
paradox
paradoxicality
paradoxically
bizarre
confuse
disturb
divergent
ludicrous
mislead
nonsensical
perverse
sophistical
unconventional
unfounded
unintelligible