paradoxical (adj.)
- abnormal
- absurd
- ambiguous
- ambivalent
- anomalous
- baffling
- barred
- conflicting
- confusing
- contradictory
- disproportionate
- enigmatic
- equivocal
- hopeless
- illogical
- impossible
- improbable
- incoherent
- incommensurable
- incommensurate
- incompatible
- incomprehensible
- inconceivable
- incongruous
- inconsequent
- inconsistent
- ironic
- irreconcilable
- mysterious
- perplexing
- preposterous
- problematic
- prohibited
- puzzling
- ridiculous
- self-contradictory
- unimaginable
- unthinkable