Logic Worksheet With Answers
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22Logic
Statements, negations, connectives, truth tables, equivalent statements, De Morgan’s
Laws, arguments, Euler diagrams
Part 1: Statements, Negations, and Quantified Statements
A statement is a sentence that is either true or false but not both simultaneously.
Ex:
a. Paris is the capital of France;
b. Edgar Poe wrote the last episode of Monk.
Commands, questions, and opinions, are not statements because they are neither true nor false.
Ex:
a. Titanic is the greatest movie of all time. (opinion)
b. Solve the exercises 20 – 50.(command)
c. If I start losing my memory, how will I know? (question)
In symbolic logic, we use lowercase letters such as p, q, r, and s to represent statements.
Ex:
p: Paris is the capital of France;
q: Edgar Poe wrote the last episode of Monk.
The negation of a statement has a meaning that is opposite that of the original meaning. The
negation of a true statement is a false statement and the negation of a false statement is a true
statement
Ex:
a. The negation of the statement “Edgar Poe wrote the last episode of Monk” can be
“Edgar Poe did not write the last episode of Monk” or also “It is not true that Edgar Poe wrote
the last episode of Monk”
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