Logic Propositions Quiz (M4 ADVANCED)

Identify: A proposition p is denoted by ~p which is read as “not p”, and is defined through its truth table.

• Conjunction

• Biconditional

• Negation

• Conditional

Identify: A proposition p and q which is denoted by 𝑝 ∧ 𝑞 and read as “p and q”, and is defined through its truth table.

• Conditional

• Conjunction

• Disjunction

• Biconditional

Identify: A proposition p and q is denoted by 𝑝 ∨ 𝑞 which read as “𝑝 𝑜𝑟 𝑞”, and defined through its truth table.

• Conditional

• Disjunctions

• Biconditional

• Conjunctions

What is the logical symbol used in biconditional propositions?

• v

• ∧

• →

• ↔

Find the negation of p: 3 is an odd number.

• ~p: 3 is not an odd number

• ~p: 2 is not an odd number

• ~p: 3 is an even number

• ~p: 3 is not an even number

Express the compound statement in words: p ∧~q p: China is in Africa q: Rwanda is in Asia

• China is in Africa and Rwanda is not in Asia.

• China is in Africa or Rwanda is not in Asia.

• China is not in Africa or Rwanda is in Asia.

• China is not in Africa and Rwanda is not in Asia.

Convert from symbolic notation to words: p ∨ ~q p: Matthew arrives home before six o'clock. q: Anna cooks dinner.

• Either Matthew arrives home before 6:00 or Anna does not cook dinner, but not both.

• Either Matthew arrives home before 6:00 or Matthew washes the dishes.

• Either Matthew arrives home before 6:00 or Anna does not cook dinner.

• If Matthew arrives home before 6:00, then Anna does not cook dinner.

Which of the following is NOT a logical connector?

• or

• if-then

• would

• and

Which describes a compound proposition?

• It is neither true nor false.

• It is a proposition that requires the use of prepositions to form logic.

• It is made up of simple propositions joined by logical connectors

• It is an imperative sentence.

Which of the following is a proposition?

• Run!

• Could you please give me some money?

• All of the above

• I am a strong and independent person.