Answer to Question #176091 in Discrete Mathematics for Diganta Saha

Question #176091

Translate these statements into English sentence, where C(x) is "x is a comedian" and F(x) is "x is funny" and the domain consist of all people. a) Ax(C(x) -> F(x)) b) Ex(C(x) ^ F(x)) c) Ex(C(x) -> F(x))

1
Expert's answer
2021-03-30T07:52:10-0400

Let us translate the following statements into English sentence, where

C(x)C(x) is "xx is a comedian" and F(x)F(x) is "xx is funny" and the domain consist of all people.


a) x(C(x)F(x))\forall x(C(x) \to F(x))


If a human is a comedian then this human is a funny.


b) x(C(x)F(x))\exists x(C(x) \land F(x))


There exists a human that is a comedian and a funny.


c) x(C(x)F(x))\exists x(C(x) \to F(x))


There exists a human such that If this human is a comedian then this human is a funny.



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