Logic Flashcards

(34 cards)

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

21
Q

Point out the speaker’s hypocrisy

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
Misconstruing the speaker’s argument
Straw man (missing the point)
26
The conclusion is asserted in the premises
Begging the question
27
Ask a question which has a built in assumption
Complex question
28
The claimant always has the duty to provide proof for what he is saying
Burden of proof
29
Assume that a property of individual parts can also be assigned to the whole
Composition
30
Wrongly transfer a property of the whole to each of its individual components
Division
31
When you justify your argument by appealing to sentiments and evoking pity
Appeal to pity
32
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
Equivocation
33
When a sentence has an ambiguous structure leading to multiple interpretations
Amphiboly
34
Typically argues that a seemingly acceptable initial proposition can lead through a sequence of small logical steps to an objectionable or absurd conclusion
Slippery slope