TRUTH TABLE -Conjunction, Disjunction and Negation

#TRUTH TABLE -Conjunction, Disjunction and Negation
#Discrete Mathematics
A truth table is a useful tool in logic and mathematics that provides a systematic way to determine the truth value of a proposition based on the truth values of its constituent propositions. In propositional calculus, truth tables are used to determine the truth value of compound propositions formed using logical operators such as "and", "or", "not", etc.

Conjunction (∧): The conjunction of two propositions, P and Q, is represented as P ∧ Q, and is only true if both P and Q are true. The truth table for conjunction is:
P Q P ∧ Q
T T T
T F F
F T F
F F F
Disjunction (∨): The disjunction of two propositions, P and Q, is represented as P ∨ Q, and is true if either P or Q, or both, are true. The truth table for disjunction is:
P Q P ∨ Q
T T T
T F T
F T T
F F F
Negation (¬): The negation of a proposition, P, is represented as ¬P, and is true if P is false, and false if P is true. The truth table for negation is:
P ¬P
T F
F T
Truth tables are a useful tool for testing the validity of arguments and for verifying the truth value of propositions under different conditions. They can also be used to simplify complex propositions by reducing them to simpler, equivalent statements.

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