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[逻辑小分队] powerscore里关于sufficient condition, necessary condition的问题

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发表于 2015-7-21 11:41:59 | 只看该作者 回帖奖励 |倒序浏览 |阅读模式
If you get an A+, then you must have studied.
Taking the above statement as true, consider the following three statements:
1. John studied for the test, so he must have received an A+ on the test.
2. John did not receive an A+ on the test, so he must not have studied for the test.
3. John did not study for the test, so he must not have received an A+ on the test.
不知道第三句为什么对,我觉得原句只告诉我get an A+是must have studied的充分条件,并没有告诉我must have studied 是 get an A+的必要条件啊。
放上powersore里的解释:Statement 3 is valid. If studying is the necessary condition for getting an A+, and John didn’t study, then according to the original statement there is no way John could have received an A+. This inference is known as the contrapositive, and you can see that when the necessary condition fails to occur, then the sufficient condition cannot occur.
拜托大家教教我,感谢感谢
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