一些逻辑训练的谜题:娜塔莎、十二点钟和茶
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Given:
P(now) knower = either American or Chinese <*>
P(-10) knower = either English speaker or Chinese <**>
Examine If-clause:
If and ONLY if that a Chinese is also an English speaker, ta knows P(-10). Contradicts <**>
-> Chinese do not know P(-10). <***>
If there is an American who is NOT an English speaker, ta definitely knows P(now). <****>
According to <*>
-> If there is an American who is not an English speaker, no Chinese knows P(now).<*****>
Falsification:
<H2> "If 开心的苹果 does not speak English, 开心的苹果 knows P(-10) AND
Some Chinese citizens know P(now) and/or (P-10), at least one."
-> Someone who does NOT speak English knows P(-10).
-> According to <**> and <***>, 开心的苹果 is NOT Chinese.
-> 开心的苹果 is an American who does not speak English. <+>
-> According to <****>, 开心的苹果 knows P(now).
If <H2> is TRUE that "Some Chinese citizens know P(now) and/or (P-10), at least one."
According to <***> Chinese do not know P(-10),
-> There must be some Chinese who know P(now).
Then, both 开心的苹果, an American <+>, and some Chinese know P(now), which contradicts <*> given.
-> <H2> is FALSE.
-> only <H1> can be TRUE.
-> 开心的苹果 speaks English, and 开心的苹果 does not know P(-10). QED
<H1> Checking process omitted given that 开心的苹果 did post in English before. LOL
品葱上所有知道南京现在的羊肉串价格的人中不可能既有美国公民又有中国公民,
P(now) knower = either American or Chinese <*>
所有知道南京10年前的羊肉串价格的人中不可能既有说过英语的人又有中国公民。
P(-10) knower = either English speaker or Chinese <**>
Examine If-clause:
当且仅当某位中国公民说过英语,ta知道南京10年前的羊肉串价格。
If and ONLY if that a Chinese is also an English speaker, ta knows P(-10). Contradicts <**>
-> Chinese do not know P(-10). <***>
假如品葱上有某位美国公民没说过英语,ta必然知道南京现在的羊肉串价格,
If there is an American who is NOT an English speaker, ta definitely knows P(now). <****>
According to <*>
-> If there is an American who is not an English speaker, no Chinese knows P(now).<*****>
Falsification:
<H2> "If 开心的苹果 does not speak English, 开心的苹果 knows P(-10) AND
Some Chinese citizens know P(now) and/or (P-10), at least one."
-> Someone who does NOT speak English knows P(-10).
-> According to <**> and <***>, 开心的苹果 is NOT Chinese.
-> 开心的苹果 is an American who does not speak English. <+>
-> According to <****>, 开心的苹果 knows P(now).
If <H2> is TRUE that "Some Chinese citizens know P(now) and/or (P-10), at least one."
According to <***> Chinese do not know P(-10),
-> There must be some Chinese who know P(now).
Then, both 开心的苹果, an American <+>, and some Chinese know P(now), which contradicts <*> given.
-> <H2> is FALSE.
-> only <H1> can be TRUE.
-> 开心的苹果 speaks English, and 开心的苹果 does not know P(-10). QED
<H1> Checking process omitted given that 开心的苹果 did post in English before. LOL
