A paradox is a statement that appears to be self-contradictory or unrealistic but may surprisingly express a possible truth.
Heterodox beliefs, ideas, or practices are different from accepted or official ones.
An unorthodox opinion is unusual, not customary, and goes against established ways of thinking.
any opinions or doctrines at variance with the official or orthodox position
of or pertaining to or characteristic of Judaism
the quality of being orthodox (especially in religion)
seemingly contradictory but nonetheless possibly true
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