LOGIC Flashcards

1
Q

and

A

conjunction (^)

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2
Q

or

A

disjunction (v)

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3
Q

no

A

negation (~)

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4
Q

if p, then q

A

conditional / implication (->)

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5
Q

if and only if

A

biconditional (<->)

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6
Q

p exclusive or q

A

exclusive-or (O + cross)

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7
Q

true for all possible combinations of truth values

A

tautology

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8
Q

false for all possible combinations of truth values

A

contradiction

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9
Q

compound statement that can either be true or false

A

contingency

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10
Q

p v q = q ^ p
p v q = q v p

A

commutative

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11
Q

p ^ (q ^ r) = (p ^ q) ^ r
p v (q v r) = (p v q) v r

A

associative

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12
Q

p ^ (q v r) = (p ^ q) v (p ^ r)
p v (q ^ r) = (p v q) ^ (p v r)

A

distributive

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13
Q

p ^ t = p
p v F = p

A

identity

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14
Q

p ^ ~p = F
p v ~p = t

A

inverse

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15
Q

~ (~p) = p

A

double negation

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16
Q

p ^ p = p
p v p = p

A

idempotent

17
Q

~ (p ^ q) = ~p v ~q
~ (p v q) = ~p ^ ~q

A

De Morgan’s law

18
Q

p ^ F = F
p v t = t

A

universal bound

19
Q

p ^ (p v q) = p
p v (p ^ q) = p

A

absorption

20
Q

(p ^ q) -> r = p -> (q ->r)

A

exportation law

21
Q

p -> q = ~q -> ~p

A

contrapositive

22
Q

p -> q = (p ^ ~q) -> F

A

Reductio Ad Absurdum

23
Q

p <-> q = (p -> q) ^ (q -> p)
p <-> q = (~p v q) ^ (p v ~q)

A

equivalence

24
Q

p -> q = ~p v q

A

implication