Definition of paradoxical in English:
 paradoxical
adjective ˌparəˈdɒksɪk(ə)lˌpɛrəˈdɑksək(ə)l
Seemingly absurd or self-contradictory.
 by glorifying the acts of violence they achieve the paradoxical effect of making them trivial
 Example sentencesExamples
-  It would be paradoxical to advocate an inquiry into inquiries, but we can begin to see criteria that will make them more likely to succeed.
 -  In the end his interest in ‘ordinary’ life accompanies a paradoxical despair about change.
 -  It is also about the paradoxical tension between human freedom and divine providence.
 -  The paradoxical truth is that nothing is more unpopular with the public than the pursuit of the public interest.
 -  Both appear to have a paradoxical effect of either increasing or decreasing the stress response.
 
 Synonyms
contradictory, self-contradictory, inconsistent, incongruous, anomalous, conflicting
improbable, impossible, odd, illogical, confusing, absurd, puzzling, baffling, bewildering, incomprehensible, inexplicable
rare oxymoronic
  Definition of paradoxical in US English:
 paradoxical
adjectiveˌperəˈdäksək(ə)lˌpɛrəˈdɑksək(ə)l
Seemingly absurd or self-contradictory.
 by glorifying the acts of violence they achieve the paradoxical effect of making them trivial
 Example sentencesExamples
-  In the end his interest in ‘ordinary’ life accompanies a paradoxical despair about change.
 -  It is also about the paradoxical tension between human freedom and divine providence.
 -  Both appear to have a paradoxical effect of either increasing or decreasing the stress response.
 -  The paradoxical truth is that nothing is more unpopular with the public than the pursuit of the public interest.
 -  It would be paradoxical to advocate an inquiry into inquiries, but we can begin to see criteria that will make them more likely to succeed.
 
 Synonyms
contradictory, self-contradictory, inconsistent, incongruous, anomalous, conflicting