Math Logic

What are the truth values for this statement?    ~p $\wedge$   q

 

• {T, F, F, F}

• {F, T, T, T}

• {F, F, T, F}

• None of the above

What are the truth values for this statement?   p $\vee$ ~q

• {T, T, F, T}

• {F, F, T, F}

• {F, T, F, F}

• None of the above.

1. In a disjunction, even if one of the statements is false, the whole disjunction is still...

• False

• Negated

• True

• Both true and false

Suppose p is the statement 'There are 1,000 meters in one kilometer' and q is the statement 'You will give me a cake.' Select the correct symbolization for the statement 'There are 1,000 meters in one kilometer or you will not give me a cake'.

• ~(p ∧ q)

• p ∧ ~q

• p ∨ ~q

• None of these

Suppose p is the statement 'There are 1,000 meters in one kilometer' and q is the statement 'You will order a burrito.' Select the correct symbolization for the statement 'There are not 1,000 meters in one kilometer and you won't order a burrito'.

• ~p ∧ ~q

• ~(p ∧ q)

• ~ p ∨ ~q

• None of these

Suppose p is the statement 'I play softball' and q is the statement 'The moon is 250,000 miles from Earth.' Select the correct statement corresponding to the symbols ~p ∧ q.

• I don't play softball and the moon is 250,000 miles from Earth.

• It is not the case that either I play softball or the moon is 250,000 miles from Earth.

• I don't play softball or the moon is 250,000 miles from Earth.

• It is not the case that both I play softball and the moon is 250,000 miles from Earth.

Select the statement that is the negation of “The speed limit is 55 and granny is driving 35.”

• The speed limit is not 55 or granny is not driving 35.

• The speed limit is not 55 and granny is not driving 35

• The speed limit is not 55 or granny is driving 35.

• The speed limit is not 55 and granny is driving 35.

Select the statement that is the negation of “You wear matching socks to the interview or you don’t get hired.”

• You don’t wear matching socks to the interview or you get hired.

• You don’t wear matching socks to the interview and you get hired.

• You don’t wear matching socks to the interview and you don’t get hired.

• If you don’t wear matching socks to the interview, then you don’t get hired.

is the study of the methods and principles used in distinguishing correct from incorrect reasoning.

• Argument

• Logical Operation

• Logic

• None of these

any group of propositions of which one is claimed to follow logically from the others.

• Argument

• Logical Operation

• Logic

• None of these