Basic concepts Flashcards

(92 cards)

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
in that
premise indicator
26
may be inferred from
premise indicator
27
as
premise indicator
28
given that
premise indicator
29
seeing that
premise indicator
30
for the reason that
premise indicator
31
inasmuch as
premise indicator
32
owing to
premise indicator
33
~
tilde - negation (not, it is not the case that)
34
• (dot)
dot - conjuction (and, also, moreover)
35
v
wedge - disjunction (or, unless)
36
horeshoe - implication (if.... then..., only if)
37
triple bar - equivalence (if and only if)
38
rule 1
the middle term must be distributed at least once
39
Rule 2
If a term is distributed in the conclusion, then it must be distributed premise
40
Rule 3
Two negative premises ar not allowed
41
Rule 4
A negative premise requires a negative conlcusion, and a negative conclusion requires a negative premise
42
Rule 5
if both premises are universal, the conclusion cannot be particular
43
P(A or not A) =
1
44
P(A and not A) =
0
45
P(Aand B) = (when A and B are independent)
P(A) x P(B)
46
P(A and B) =
P(A) X P(B given A)
47
P(A or B) = (when A and B are mutually exclusive)
P(A) + P(B)
48
P(Aor B) =
P(A) + P(B) - P(A and B)
49
P(A) =
1 - P (not A)
50
and
dot
51
also
dot
52
but
dot
53
however
dot
54
yet
dot
55
still
dot
56
moreover
dot
57
although
dot
58
nevertheless
dot
59
or
wedge
60
unless
wedge
61
if.... then ....
horseshoe
62
Only if
horseshoe
63
in case
horseshoe
64
provided that
horseshoe
65
given that
horseshoe
66
on condition that
horseshoe
67
implies
horseshoe
68
rule on "if"
"if" is always the antecedent, and the statement that follows "only if" is always the consequent.
69
sufficient and necessary
SUN
70
if and only if
Triple bar
71
is sufficient and necessary condition for
Triple bar
72
Not either S or T
~(S v T)
73
Not both S and T
~(S•T)
74
not
~
75
it is not the case that
~
76
it is false that
~
77
and
78
yet
79
but
80
however
81
moreover
82
nevertheless
83
stil
84
also
85
although
86
both
87
additionally
88
furthermore
89
or
V
90
unless
V
91
sufficient conditioin for
SUN
92
necessary condition
SUN