PROPOSITIONAL LOGIC
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CONJUCTION p ∧ q
It’s sunny and It’s windy P Q
EXAMPLES:
He’s ugly and He has girlfriend P Q
P ∧ Q: F
It’s hot and It’s summer P Q
P ∧ Q: T She is angry and she is sad. P Q
P ∧ Q: T
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EQUIVALENCE: IFF
She is a woman iff she is female. P Q
EXAMPLES
He is a teacher iff He is a man. P Q
P ≡ Q: F
I cry iff I lose the game. P Q
P ≡ Q: T
I study iff I listen to music. P Q
P ≡ Q: F
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IMPLICATION: If, then
If it rains then I go to bed . P Q
EXAMPLE
If I go to school then I go to sleep. P Q
P c Q: T: F
If I read then I learn new things P Q
P c Q: T If I run then I go to dance. P Q
P c Q: F
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DISJUNTION: OR
I went to Melgar or I went to Tocaima P Q
EXAMPLES
They’re bored and They are dancing P Q P OR Q: T
It's rain and’ It’s cold P Q
P or Q: T She is happy and she is smiling.
P Q
P or Q: T
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NEGATION: ¬p, ~p
She is my sister
EXAMPLE
¬P P
He runs so fast T F She is beautiful F T It's raining today F T
