Propositions and Logical Connectives Quiz

What is a proposition?

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What are examples of statements that are not propositions?

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What does negation (¬) do to a proposition?

• Reverses the truth value of a proposition.

• Combines two propositions.

• Shows all possible truth values.

• None of the above.

When is a conjunction (P ∧ Q) true?

• When both P and Q are true.

• When at least one of P or Q is true.

• When P is true and Q is false.

• When both P and Q are false.

What is the truth value of P ∨ Q if both P and Q are true?

• True

• False

What is the condition for a conditional (P → Q) to be false?

• When P is true and Q is false.

• When both P and Q are true.

• When both P and Q are false.

• When P is false.

What does biconditional (P ↔ Q) mean?

• True if both propositions have the same truth value.

• True if at least one proposition is true.

• True if one proposition is true and the other is false.

• None of the above.

What are truth tables used for?

• To show all possible truth values of propositions.

• To combine propositions.

• To evaluate the truth of a single proposition.

• None of the above.

Why is propositional logic important?

• It is fundamental to reasoning and computer science.

• It is only useful in mathematics.

• It has no real-world applications.

• None of the above.

What should you be careful about with conditional and biconditional connectives?

• They can sometimes be counterintuitive.

• They are always straightforward.

• They have no exceptions.

• None of the above.