李元有210元钱,买书用去5/4,买文具的钱比买书的钱少85%.买文具用去多少元?

wyhg_4442022-10-04 11:39:541条回答

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pgbvthy 共回答了22个问题 | 采纳率100%
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MBA考试,逻辑学问题。如果赵川参加宴会,那么钱华、孙旭和李元将一起参加宴会。如果上述断定是真的,那么以下哪项也是真的?
MBA考试,逻辑学问题。
如果赵川参加宴会,那么钱华、孙旭和李元将一起参加宴会。如果上述断定是真的,那么以下哪项也是真的?A.如果赵没参加宴会,那么钱、孙、李中至少有一人没有参加宴会。B.如果赵没参加宴会,那么钱、孙、李都没有参加宴会。C.如果钱、孙、李都参加了宴会,那么赵参加了宴会。D.如果李没有参加宴会,那么钱和孙不会都参加宴会。E.如果孙没有参加宴会,那么赵和李不会都参加宴会。答案是:E。可是为什么?
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提干中的命题“如果赵川参加宴会,那么钱华、孙旭和李元将一起参加宴会”的逻辑形式是p→(q∧r∧s)。由于充分条件假言命题不能通过否定前件从而否定后件进行推理,所以A、B两项排除。充分条件假言命题也不能通过肯定后件从而肯定前件进行推理,所以C项排除。充分条件假言命题可以通过否定后件从而否定前件进行推理,所以有逻辑形式¬(q∧r∧s)→¬p。而¬(q∧r∧s)等值于¬q∨¬r∨¬s,由于相容选言命题不能通过肯定一部分选言支来断定另一部分选言之,所以排除D项。用排除法可知所以答案是E。从p→(q∧r∧s)可以看出p是q∧r∧s的充分条件,而q∧r∧s是p的必要条件,也就是说,只有钱、孙、李都参加,赵才会参加,只要钱、孙、李有一人不参加,赵就不会参加。因此当孙不参加时,虽然我们不知道李是不是参加,但是我们知道赵肯定不参加,所以有“如果孙没有参加宴会,那么赵和李不会都参加宴会”,答案是E.
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