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本课程起止时间为:2021-03-01到2021-05-31

1. Propositional logic of mathematical logic Chapter 1 unit tests

小提示:本节包含奇怪的同名章节内容

1、 问题:Which is a proposition in the following statements?
选项:
A:Please don’t copy!
B:The sun is a planet.
C:Can I smoke here?
D:x – y = 3
答案: 【The sun is a planet.

2、 问题:Which is an atomic statement in the following statements?
选项:
A:Zhang San and LiSi are friends.
B:If it rains tomorrow, I won’t go to the park.
C:There is no savior or god.
D:Xiao Ming is either in class or running on the playground.
答案: 【Zhang San and LiSi are friends.

3、 问题:Suppose P: I’m ChineseQ: I come from Beijing"Unless I am from Beijing, I am not Chinese" is the result of the symbolic statement:
选项:
A:
B:
C:
D:
答案: 【

4、 问题:Which is a false statement in the following statements?
选项:
A:When x >4, then x+1 > 5
B:As long as today is the Spring Festival, tomorrow is the Lantern Festival.
C:If the earth does not turn, the crow is white.
D:2 is a prime number only if USTB is not in Beijing.
答案: 【2 is a prime number only if USTB is not in Beijing.

5、 问题:Which is the simplified form of the following combination formulas:?
选项:
A:
B:
C:
D:
答案: 【

6、 问题:According to the implication law, which one is  equivalented in the following formulas?
选项:
A:http://edu-image.nosdn.127.net/_PhotoUploadUtils_b47780b7-7294-4a53-8c08-f0212ac781d2.png
B:
C:
D:
答案: 【

7、 问题:German Nazi leader goebbels once said that a lie repeated three times becomes a truth.Which law does this violate?
选项:
A:Law of double negation
B:Idempotent law
C:Associative law
D:DE Morgan law
答案: 【Idempotent law

8、 问题:"Stinky tofu stinks and smells good" is a false statement.Which law does this use?
选项:
A:Law of identity
B:Law of excluded middle
C:Law of contradiction
D:Absorption law
答案: 【Law of contradiction

9、 问题:Our cat either sleeps on the balcony or eats meat in the kitchen.I haven’t found it on the balcony yet, so it must be in the kitchen.What is the law of inference used?
选项:
A:Modus tollens
B:Refuse to take type
C:Disjunctive syllogism
D:Structural difficulty
答案: 【Disjunctive syllogism

10、 问题:What is the dual of?
选项:
A:
B:
C:
D:
答案: 【

11、 问题:What is the type of?
选项:
A:tautologies
B:contradiction
C:Nontautological satisfiable formula
D:Unable to determine
答案: 【Nontautological satisfiable formula

12、 问题:Which one is conjunctive and disjunctive paradigms?
选项:
A:
B:
C:
D:
答案: 【

13、 问题:Which are propositions in the following statements?(multiple choices)
选项:
A:The shot is not a ball.
B:If he doesn’t play, we’ll lose.
C:Liu xiang spent less than 13 seconds in the 110m hurdles. Does he a real athlete?
D:Liu xiang took less than 13 seconds in the 110m hurdles. He is a real athlete.
答案: 【The shot is not a ball. ;
If he doesn’t play, we’ll lose.;
Liu xiang took less than 13 seconds in the 110m hurdles. He is a real athlete.

14、 问题:Which are not compound propositions in the following propositions? Multiple choices
选项:
A:I can’t sing.
B:If it doesn’t rain,I’ll go out.
C:I have classes every day.
D:Are there people on Mars?
答案: 【I have classes every day. ;
Are there people on Mars?

15、 问题:Which is a false statement in the following statements?

选项:
A:When x >4, then x+1 > 5
B:As long as today is the Spring Festival, tomorrow is the Lantern Festival.
C:If the earth does not turn, the crow is white.
D:2 is a prime number only if USTB is not in Beijing.
答案: 【2 is a prime number only if USTB is not in Beijing.

2. Predicate logic of mathematical logic Chapter 2 unit tests

小提示:本节包含奇怪的同名章节内容

1、 问题:Which one is not a predicate formula?
选项:
A:
B:
C:
D:
答案: 【

2、 问题:In the formula,the free variable is()
选项:
A:第一个x
B:第二个x
C:y
D:z
答案: 【y

3、 问题:Which one is wrong?
选项:
A:
B:
C:
D:
答案: 【

4、 问题:Which one is wrong?
选项:
A:
B:
C:
D:
答案: 【

5、 问题:Which one is wrong?
选项:
A:
B:
C:
D:
答案: 【

6、 问题:There is a proposition as follows: any real number x, there will always be real number y, which is less than x. Set: F(x): x is a real number. G(x, y) : x < y What is the symbolic representation of the correctness of the proposition in the scope of predicate logic?
选项:
A:
B:
C:
D:
答案: 【

7、 问题:Which one is the prenex normal form?
选项:
A:
B:
C:
D:
答案: 【

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