Logic Symbols

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What is a biconditional statement?

Back

A biconditional statement is a statement that combines a conditional statement and its converse, typically expressed as "p if and only if q" (p ↔ q).

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What does the contrapositive of a statement mean?

Back

The contrapositive of a statement "If p, then q" is "If not q, then not p" (¬q → ¬p).

Front

What does the symbol ↔ represent in logic?

Back

The symbol ↔ means "if and only if" in logic.

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Write the logical expression for 'If Victor eats tacos for dinner, then he does not go to the game.'

Back

The logical expression is: @@q ightarrow eg r@@.

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What is a counterexample in logic?

Back

A counterexample is an example that disproves a statement or proposition.

Front

What is a conditional statement?

Back

A conditional statement is an if-then statement, expressed as "If p, then q" (p → q).

Front

What is the converse of a conditional statement?

Back

The converse of a conditional statement "If p, then q" is "If q, then p" (q → p).

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What does the symbol ∼ represent in logic?

Back

The symbol ∼ represents negation, meaning 'not'.

Front

What is the inverse of a conditional statement?

Back

The inverse of a conditional statement "If p, then q" is "If not p, then not q" (¬p → ¬q).

Front

What is the difference between a theorem and a conjecture?

Back

A theorem is a statement that has been proven to be true, while a conjecture is a statement that is believed to be true but has not yet been proven.