Meaning & usage
得る expresses that an event can happen or is possible, often translated as can or -able, and describes a general possibility rather than someone's skill. It attaches to the masu-stem of a verb, as in 起こり得る and あり得る, with the negative form 得ない meaning cannot happen. It has a formal, written tone, and あり得ない is especially common as a fixed expression for something unbelievable or impossible.
Example sentences 3
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こんなこと、日本では起こりえない。
Such a thing can't happen in Japan.
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歯が、あり得ないほど痛い。
My tooth is giving me unbelievable pain.
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君、そんなに運がいいとはあり得ない!
I can't believe how lucky you are!