Logic Flashcards

1
Q

&

A

Conjunction

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2
Q

V

A

Disjunction

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3
Q

->

A

Conditional

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4
Q

~

A

Negation

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5
Q

If and only if (three bars)

A

Biconditional

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6
Q
  1. A
  2. B
    ———
    A&B 1,2 &I
A

Conjunction Introduction

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7
Q

DM
~(A&B) -> ~Av~B

A

DeMorgan’s Law

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8
Q
  1. C
    ———
    CvD 1, vI
A

Disjunctive Introduction

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9
Q
  1. A&B
    ———
    A 1, &E
A

Conjunction Elimination

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10
Q
  1. RvS
  2. ~S
    ———
    R 1,2 vE
A

Disjunctive Elimination

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11
Q

Av(G&H)
(AvG) & (AvH)

A

Distribution

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12
Q
  1. R->U
  2. R
    ———
    U 1,2 -> E/MP
A

Conditional Elimination/Modus Ponens

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13
Q

1.R->U
2. ~U
———
~R 1,2 MT

A

Modus Tollens

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14
Q

(CvD)
(~C->D)

A

Material Implication

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15
Q

->I

A

Conditional Introduction

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16
Q

A&B
|
V
B&A

A

Commutative Property

17
Q

A&(B&C)-> A&B&C

A

Associative Property

18
Q

To prove a point by making resource to force if the other person does not accept their conclusion

A

Argumentum ad baculum (appeal to force)

19
Q

Appeals are made to popular attitudes instead of logic

A

Argumentum ad populum (appeal to the people)

20
Q

An attack on an opponent’s character instead of the argument

A

Ad hominem

21
Q

Point out the speaker’s hypocrisy

A

Tu quoque

22
Q

Rather than proving a casual relation between two things, you believe the order of events is enough to prove causation

A

Post hoc (after this, therefore because of this)

23
Q

Appealing to a person of authority rather than providing a logical argument

A

Ad verecudiam (appeal to authority)

24
Q

Appealing to the fact that no evidence exists for or against something

A

Argumentum ad ignorantium (appeal to ignorance)

25
Q

Misconstruing the speaker’s argument

A

Straw man (missing the point)

26
Q

The conclusion is asserted in the premises

A

Begging the question

27
Q

Ask a question which has a built in assumption

A

Complex question

28
Q

The claimant always has the duty to provide proof for what he is saying

A

Burden of proof

29
Q

Assume that a property of individual parts can also be assigned to the whole

A

Composition

30
Q

Wrongly transfer a property of the whole to each of its individual components

A

Division

31
Q

When you justify your argument by appealing to sentiments and evoking pity

A

Appeal to pity

32
Q

When an argument employs a word in an ambiguous manner, providing it with one meaning in a certain portion of the argument while using a different meaning in another

A

Equivocation

33
Q

When a sentence has an ambiguous structure leading to multiple interpretations

A

Amphiboly

34
Q

Typically argues that a seemingly acceptable initial proposition can lead through a sequence of small logical steps to an objectionable or absurd conclusion

A

Slippery slope