Natural Deduction Rules Flashcards

1
Q

∧I

A

Conjunction Introduction

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2
Q

∧E

A

Conjunction Elimination

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3
Q

→E

A

Conditional Elimination

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4
Q

→I

A

Conditional Introduction

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5
Q

↔I

A

Biconditional Introduction

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6
Q

↔E

A

Biconditional Elimination

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7
Q

∨I

A

Disjunction Introduction

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8
Q

∨E

A

Disjunction Elimination

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9
Q

¬E

A

Negation Elimination

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10
Q

¬I

A

Negation Introduction

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11
Q

X

A

X-PLOSION Rule (aka ⊥-Elimination)

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12
Q

TND

A

Tertium non Datur (No third way)

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13
Q

R

A

Reiteration

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14
Q

DS

A

Disjunctive Syllogism

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15
Q

MT

A

Modus Tollens

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16
Q

DNE

A

Double-negation Elimination

17
Q

DeM

A

De Morgan Rule 1, 2, 3, 4

18
Q

ⱯE

A

Universal Elimination

19
Q

ⱯI

A

Universal Introduction

20
Q

∃I

A

Existential Introduction

21
Q

∃E

A

Existential Elimination

22
Q

CQ

A

Quantifier Conversion Rules

23
Q

=I

A

Identity Introduction

24
Q

=E

A

Identity Elimination