Rules Of Inference Flashcards

1
Q

Modus Tollens

A

¬Q
P→Q
∴¬P

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2
Q

Hypothetical Syllogism

A

P→Q
Q→R
∴P→R

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3
Q

Disjunctive Syllogism

A

P∨Q
¬P
∴Q

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4
Q

Addition

A

P

∴P∨Q

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5
Q

Simplification

A

P∧Q

∴P

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6
Q

Conjunction

A

P
Q
∴ P∧Q

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7
Q

Resolution

A

P∨Q
¬P∨R
∴Q∨R

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8
Q

Modus Ponens

A

P
P→Q
∴Q

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