Basic concepts Flashcards

1
Q

what is logic

A

the organized body of knowledge, or science that evaluates arguments

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2
Q

What is an argument

A

A group of statements, one or more of which (the premises) are claimed to provide support for, or reasons to believe, one of the other (the conclusion).

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3
Q

What is a statement

A

A sentence that is either true or false

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4
Q

What is a premises

A

Statements tha set forth the reason or evidence

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5
Q

What is a conclusion

A

The statement that the evidence is claimed to support or imply.

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6
Q

Therefor

A

conclusion indicater

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7
Q

wherefore

A

conclusion indicater

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8
Q

thus

A

conclusion indicater

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9
Q

consequently

A

conclusion indicater

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10
Q

we may infer

A

conclusion indicater

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11
Q

accordingly

A

conclusion indicater

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12
Q

we may conclude

A

conclusion indicater

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13
Q

it must be that

A

conclusion indicater

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14
Q

for this reason

A

conclusion indicater

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15
Q

so

A

conclusion indicater

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16
Q

entails that

A

conclusion indicater

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17
Q

hence

A

conclusion indicater

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18
Q

it follows that

A

conclusion indicater

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19
Q

implies that

A

conclusion indicater

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20
Q

as a result

A

conclusion indicater

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21
Q

since

A

premise indicator

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22
Q

as indicated by

A

premise indicator

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23
Q

because

A

premise indicator

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24
Q

for

A

premise indicator

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25
Q

in that

A

premise indicator

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26
Q

may be inferred from

A

premise indicator

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27
Q

as

A

premise indicator

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28
Q

given that

A

premise indicator

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29
Q

seeing that

A

premise indicator

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30
Q

for the reason that

A

premise indicator

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31
Q

inasmuch as

A

premise indicator

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32
Q

owing to

A

premise indicator

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33
Q

~

A

tilde - negation (not, it is not the case that)

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34
Q

• (dot)

A

dot - conjuction (and, also, moreover)

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35
Q

v

A

wedge - disjunction (or, unless)

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36
Q

A

horeshoe - implication (if…. then…, only if)

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37
Q

A

triple bar - equivalence (if and only if)

38
Q

rule 1

A

the middle term must be distributed at least once

39
Q

Rule 2

A

If a term is distributed in the conclusion, then it must be distributed premise

40
Q

Rule 3

A

Two negative premises ar not allowed

41
Q

Rule 4

A

A negative premise requires a negative conlcusion, and a negative conclusion requires a negative premise

42
Q

Rule 5

A

if both premises are universal, the conclusion cannot be particular

43
Q

P(A or not A) =

A

1

44
Q

P(A and not A) =

A

0

45
Q

P(Aand B) = (when A and B are independent)

A

P(A) x P(B)

46
Q

P(A and B) =

A

P(A) X P(B given A)

47
Q

P(A or B) = (when A and B are mutually exclusive)

A

P(A) + P(B)

48
Q

P(Aor B) =

A

P(A) + P(B) - P(A and B)

49
Q

P(A) =

A

1 - P (not A)

50
Q

and

A

dot

51
Q

also

A

dot

52
Q

but

A

dot

53
Q

however

A

dot

54
Q

yet

A

dot

55
Q

still

A

dot

56
Q

moreover

A

dot

57
Q

although

A

dot

58
Q

nevertheless

A

dot

59
Q

or

A

wedge

60
Q

unless

A

wedge

61
Q

if…. then ….

A

horseshoe

62
Q

Only if

A

horseshoe

63
Q

in case

A

horseshoe

64
Q

provided that

A

horseshoe

65
Q

given that

A

horseshoe

66
Q

on condition that

A

horseshoe

67
Q

implies

A

horseshoe

68
Q

rule on “if”

A

“if” is always the antecedent, and the statement that follows “only if” is always the consequent.

69
Q

sufficient and necessary

A

SUN

70
Q

if and only if

A

Triple bar

71
Q

is sufficient and necessary condition for

A

Triple bar

72
Q

Not either S or T

A

~(S v T)

73
Q

Not both S and T

A

~(S•T)

74
Q

not

A

~

75
Q

it is not the case that

A

~

76
Q

it is false that

A

~

77
Q

and

A

78
Q

yet

A

79
Q

but

A

80
Q

however

A

81
Q

moreover

A

82
Q

nevertheless

A

83
Q

stil

A

84
Q

also

A

85
Q

although

A

86
Q

both

A

87
Q

additionally

A

88
Q

furthermore

A

89
Q

or

A

V

90
Q

unless

A

V

91
Q

sufficient conditioin for

A

SUN

92
Q

necessary condition

A

SUN