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I think you have it written correctly. "I remember Eve" means that at the moment he's speaking, he does in fact remember her. To say "I remembered Eve" means that at some point (in the past) he did...
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#4: Attribution notice removed
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#3: Attribution notice added
Source: https://writers.stackexchange.com/a/4429 License name: CC BY-SA 3.0 License URL: https://creativecommons.org/licenses/by-sa/3.0/
#2: Initial revision
I think you have it written correctly. "I remember Eve" means that at the moment he's speaking, he does in fact remember her. To say "I remembered Eve" means that at some point (in the past) he didn't remember Eve, and then at some point (still in the past, but more recently), he _did_ remember her again. The same with "I don't think I'll ever recover" because he is again talking about what's happening in the present moment. (Actually he's making a prediction: he thinks it will never happen in the future.)