Logic connectives

Front

What is a logical connective?

Back

A logical connective is a symbol or word used to connect two or more propositions in a logical manner, forming a compound statement.

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What is the contrapositive of a conditional statement?

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The contrapositive of a conditional statement 'If p, then q' is 'If not q, then not p'.

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What is the negation of a statement?

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The negation of a statement is the opposite of the original statement, indicating that the original statement is false.

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What is a conditional statement?

Back

A conditional statement is a logical statement that has the form 'If p, then q', where p is the hypothesis and q is the conclusion.

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What is the converse of a conditional statement?

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The converse of a conditional statement 'If p, then q' is 'If q, then p'.

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What is an implication in logic?

Back

An implication is a logical relationship between two statements where one statement (the conclusion) follows from another statement (the hypothesis).

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What does it mean for a conditional statement to be false?

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A conditional statement is false only when the hypothesis is true and the conclusion is false.

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What is the difference between a statement and a proposition?

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A statement is a declarative sentence that is either true or false, while a proposition is a statement that expresses a judgment or opinion.

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What is a biconditional statement?

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A biconditional statement is a logical statement that combines two conditional statements, expressed as 'p if and only if q'.

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What is the truth table for a conditional statement?

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The truth table for a conditional statement 'If p, then q' shows that it is false only when p is true and q is false; otherwise, it is true.