用归谬法证明一下题目是这样的:“IF I go to my offic
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用归谬法证明一下
题目是这样的:
“IF I go to my office tomorrow,then I must get up before 7AM,and if i attend the dinner party at the club,i will return home late.IF i return home late and get up before 7AM,I will not sleep well.I want to sleep well.Therefoer,either i will not go to the office tomorrow or i will not attend the dinner party”(LET P=I will go to my office tomorrow,Q=I must get up before 7AM,R=I will attend the dinner party at the club,S=I return home late,W=I will sleep well)
![](http://img.wesiedu.com/upload/7/dd/7dd9459a95f71da9b4e3f7895f9f92f7.jpg)
题目是这样的:
“IF I go to my office tomorrow,then I must get up before 7AM,and if i attend the dinner party at the club,i will return home late.IF i return home late and get up before 7AM,I will not sleep well.I want to sleep well.Therefoer,either i will not go to the office tomorrow or i will not attend the dinner party”(LET P=I will go to my office tomorrow,Q=I must get up before 7AM,R=I will attend the dinner party at the club,S=I return home late,W=I will sleep well)
![](http://img.wesiedu.com/upload/7/dd/7dd9459a95f71da9b4e3f7895f9f92f7.jpg)
![用归谬法证明一下题目是这样的:“IF I go to my offic](/uploads/image/z/17134809-33-9.jpg?t=%E7%94%A8%E5%BD%92%E8%B0%AC%E6%B3%95%E8%AF%81%E6%98%8E%E4%B8%80%E4%B8%8B%E9%A2%98%E7%9B%AE%E6%98%AF%E8%BF%99%E6%A0%B7%E7%9A%84%EF%BC%9A%E2%80%9CIF%26nbsp%3BI%26nbsp%3Bgo%26nbsp%3Bto%26nbsp%3Bmy%26nbsp%3Boffic)
该题有误,P,Q,R,S,均取真,W为假,上式蕴含不成立,左为真,右为假.
前提少了W
![](http://img.wesiedu.com/upload/d/c3/dc3d081b54755ac34051a76504494845.jpg)
前提少了W
![](http://img.wesiedu.com/upload/d/c3/dc3d081b54755ac34051a76504494845.jpg)