Logical Operators
What are two indicator words for the wedge(v)?
or, either.
A taco is not a sandwich but a hotdog could be considered a sandwich.
~T . H
Two statements are logically _____ if it is possible for both or all statements to be true at the same time (for at least one line on the truth table).
Logically consistent
Assume both P and Q to be true, what is the truth value of P v Q?
True
What is the function of the dot (.)?
If we are not careful and we don't change the oil often enough, then the engine will be ruined.
~(C . O) ---> E
Two statements are logically ____ if their truth values are opposite for every state of the world.
Logically Contradictory
Assume P is true and Q is false, what is the truth value of P . Q
False
What logical operator is used for a conditional statement?
---->
Sally got a promotion, and either Louis asks for a raise or he looks for another job.
Two(or more) statements are logically ______ if their truth values match for every state of the world(row of the truth table).
Logically Equivalent
Assume both P and Q to be false, what is the truth value of P=Q (triple bar)
True
Identify the logical operators in this statement; I will go on a hike today if and only if it is sunny outside.
Triple bar
Both slot machines and table gaming do not take credit cards.
~S . ~T
or
~(S . T)
A statement that is necessarily true; it is true regardless of the state of the world (for every line in the truth table)
Tautology
Assume P to be false and Q to be true, what is the truth value of P ---> Q
True