A situation in which two propositions or choices are mutually exclusive and cannot both be true or satisfied; an antinomy or contradiction.
その問題は、自由と安全の二律背反を含んでいる。
That issue involves an antinomy between freedom and security.
哲学の授業で二律背反の例として、倫理的ジレンマを扱った。
In philosophy class we dealt with an ethical dilemma as an example of an antinomy.
二律背反に陥ると、どちらを優先するか明確な基準が必要だ。
When faced with an antinomy, you need a clear criterion for which to prioritize.