Logic Flashcards

1
Q

What is p?

A

P in logic is topically the hypothesis

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2
Q

What is q?

A

Q is topically the conclusion

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3
Q

What are common letters used in logic?

A

p,q,r,s

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4
Q

What is a conditional statement?

A

An if-then statement

i.e.=p->q

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5
Q

What is an inverse statement?

A

It is the negation of a conditional statement.

i.e.=~p->~q

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6
Q

What is a converse statement?

A

It is the opposite of a conditional.

i.e.=q->p

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7
Q

What is contrapostive?

A

It is the opposite negation of a conditional.

i.e.=~q->~p

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8
Q

What are the truth values of the types of statements?

A

Conditional-always true
Inverse-sometimes true
Converse-sometimes true
Contrapositive-always true

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9
Q

What is a truth table?

A

It is a table that show the truth values of both p and q (sometimes r and s)

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10
Q

What does the ^ symbol represent?

A

And

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11
Q

What does the \/ symbol represent?

A

Or

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12
Q

How is an or statement (q\/p) true?

A

One of the two statements must be true.

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13
Q

How is an and statement (p^q) true?

A

Both parts must be true.

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14
Q

How is a conditional statement

(p->q) true?

A

P must be true and q must be true. If p is false it is true by default (vT)

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15
Q

What does the symbol .•. mean?

A

Therefore/ moreover

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16
Q

What does the symbol ~ mean?

A

Not or negation

17
Q

What diagram is typically used in logic?

A

Venn diagrams (2 and 3 circles, never more)

18
Q

What Is this statement:

If it is monday, then tomorrow is tuesday.

A

A conditional statement

19
Q

If today is mon., then tomorrow is tues. if tomorrow is tues., then the following is wed.
Syllogism or detachment?

A

Syllogism

20
Q

What is syllogism?

A

It uses the form p->q, q->r, then

p-> r

21
Q

What is detachment?

A

Use the form p->q, p, then q

22
Q

What is the inverse error?

A

It is when the conditional’s inverse is not true. ~p->~q isn’t always true

23
Q

What is the converse error?

A

It is when the converse isn’t true.

q->p isn’t always true