Conditional Propositions Flashcards

1
Q

Conditional Proposition

A

a proposition which takes the form if p, then q. The if p part is called the antecedent while the then q part is called the consequent

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2
Q

sufficient condition

A

enough, if side, antecedent

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3
Q

necessary condition

A

has to be, then side, consequent

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4
Q

antecedent

A

if side
if there is smoke

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5
Q

consequent

A

then side
then there is a fire

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6
Q

if p, then q

A

p is sufficient for q

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7
Q

if p, then q

A

q is necessary for p

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8
Q

if p, then q

A

p only if q

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9
Q

if p, then q

A

q if p

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10
Q

if p, then q

A

p implies q

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11
Q

if p, then q

A

q is implied by p

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12
Q

p unless q

A

if not -q, then p

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13
Q

if p, then q

A

if not -q, then not -p

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14
Q

if

A

whatever is right after if, is the antecedent

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15
Q

only if

A

if x, then y
x only if y
the only exception to the rule that whatever is after the if is the antecedent
only if introduces necessary condition

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16
Q

unless

A

introduces conditional
x unless y = if y does not occur, then x is sure to occur
same as if not -y, then x
take whatever is after unless, put a negation in front and make it the antecedent, then make the other thing the consequent