1.1 - Propositional Logic Flashcards

1
Q

Proposition

A

A statement that is either true or false

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2
Q

~

A

NOT - negation

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3
Q
A

AND - conjunction

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4
Q

v

A

Inclusive OR - disjunction

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5
Q

A

Exclusive OR - disjunction

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6
Q

A

Conditional (if, then)

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7
Q

_ implies _

A

p implies q (conditional)

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8
Q

_, if _

A

q, if p (conditional)

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9
Q

_ whenever _

A

q whenever p (conditional)

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10
Q

_ is sufficient for _

A

p is sufficient for q (conditional)

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11
Q

_ is necessary for _

A

q is necessary for p (conditional)

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12
Q

_ only if _

A

p only if q (conditional)

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13
Q

A

iff (if and only if) - biconditional, must prove both ways ( 2 proofs!)

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14
Q

Converse

A

q → p

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15
Q

Contrapositive

A

~q → ~p

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16
Q

Inverse

A

~p → ~q

17
Q

Logical operator precedence

A

NOT ~
AND ^
OR v
Cond →
Bicond ↔