9 Elementary Valid Argument Forms Structures Flashcards

1
Q

p ⊃ q
p
∴ q

A

Modus Ponens

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2
Q

p ⊃ q
~ q
∴ ~p

A

Modus Tollens

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3
Q

Modus Tollens

A

p ⊃ q
~ q
∴ ~p

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4
Q

Modus Ponens

A

p ⊃ q
p
∴ q

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5
Q

p ⊃ q
q ⊃ r
∴ p ⊃ r

A

Hypothetical syllogism

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6
Q

Hypothetical Syllogism

A

p ⊃ q
q ⊃ r
∴ p ⊃ r

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7
Q

p V q
~ p
∴ q

A

disjunctive syllogism

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8
Q

disjunctive syllogism

A

p V q
~ p
∴ q

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9
Q

(p ⊃ q) * (r ⊃ s)
p V r
∴ q V s

A

Constructive Dilemma

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10
Q

Constructive Dilemma

A

(p ⊃ q) * (r ⊃ s)
p V r
∴ q V s

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11
Q

p ⊃ q
∴ p ⊃ (p * q)

A

Absorption

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12
Q

Absorption

A

p ⊃ q
∴ p ⊃ (p * q)

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13
Q

p * q
∴ p

A

Simplification

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14
Q

Simplification

A

p * q
∴ p

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15
Q

p
q
∴ p * q

A

Conjunction

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16
Q

Conjunction

A

p
q
∴ p * q

17
Q

p
∴ p V q

A

Addition

18
Q

Addition

A

p
∴ p V q