Logic Flashcards

1
Q

Disjunction elimination

A

((P v Q) & ~P) => Q

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2
Q

((P v Q) & ~P) => Q

A

Disjuntion elminination

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3
Q

Disjunction introduction

A

P => (P v Q)

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4
Q

P => (P v Q)

A

Disjunction introduction

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5
Q

Conjunction elimination

A

(P & Q) => P (and Q)

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6
Q

(P & Q) => P (and Q)

A

Conjunction elmination

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7
Q

Conjunction introduction

A

((P) & (Q)) => (P & Q)

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8
Q

((P) & (Q)) => (P & Q)

A

Conjunction introduction

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9
Q

Negation

A

~~P => P

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10
Q

~~P = > P

A

Negation

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11
Q

Contradiction

A

~(P & ~P)

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12
Q

~(P & ~P)

A

Contradiction

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13
Q

Modus Ponens

A

((P => Q) & P) => Q

OR

A=>B
A
Therefore, B

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14
Q

((P => Q) & P) => Q

OR

A=>B
A
Therefore, B

A

Modus Ponens

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15
Q

Fallacy of affirming the consequent

A

A=>B
B
Therfore A

INCORRECT USE OF MODUS PONENS

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16
Q

((P=>Q) & Q) => P

A

Fallacy of affirming the consequent

17
Q

Modus tollens

A

((P=>Q) & ~Q) => ~P

OR

A=>B
Not B
Therfore, not A

18
Q

((P=>Q) & ~Q) => ~P

A

Modus tollens

19
Q

Fallacy of denying the antecenet

A

((P=>Q) & ~P) => ~Q

INCORRECT USE OF MODUS TOLLENS

20
Q

((P=>Q) & ~P) => ~Q

A

Fallacy of denying the antecedent

Incorrect use of modus tollens