cross sb's mind

occur to one without being deliberately reasoned out or striven for

It was really extremely hazardous, and as we stood there peering vainly into the blanket of fog it did cross my mind that we were all quite crazy.  BNCI

I would be a liar if I said the thought of being shot at didn't cross my mind. BNCI

I think of so many things, so many sad and bitter thoughts cross my mind.  BNCI

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