Section 1.2. SYMBOLIC LOGIC. Statements. This section we will study symbolic logic which was developed in the late 17 th century. All logical reasoning is based on statements. A statement is a sentence that is either true or false. Which of the following are statements?.
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Section 1.2
Mr. D listened to a Pink Floyd CD.
The negation is: The senator is not a Republican.
p: Jerry Seinfeld is a comedian.
q: Jerry Seinfeld is a millionaire.
Express the following in symbolic form:
i. Jerry Seinfeld is a comedian and he is a millionaire.
ii. Jerry Seinfeld is a comedian and he is not a millionaire.
p: The lyrics are controversial.
q: The performance is banned.
Express the following in symbolic form:
a. “The lyrics are controversial and the performance is banned.”
b. “The lyrics are not controversial and the performance is not banned.”
Answers:
a. p ^ q
b. ~p ^ ~q