PROPOSITION-SIMPLE-AND-COMPOUND-_20241028_071947_0000

Proposition

A statement that is either true or false.

Simple Proposition

A statement that expresses a single idea and can be either true or false.

Compound Proposition

A statement formed by combining two or more simple propositions using logical connectives.

Conjunction (p and q)

A logical connective that combines two propositions and is true only if both propositions are true.

Disjunction (p or q)

A logical connective that combines two propositions and is true if at least one of the propositions is true.

Negation (not p)

A logical connective that inverts the truth value of a proposition.

Equivalence (if p then q)

A logical connective that states if one proposition is true, then another proposition is also true and vice versa.

Analyzing Propositions Exercise

An exercise to determine whether a statement is a proposition, and whether it is simple or compound, as well as the logical connectives used.

Logical Connectives

Operators that combine propositions into compound propositions.