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THE
LOGIC OF CAUSATION
©
Avi Sion, 2003. All rights reserved.
Phase Two: Microanalysis
Chapter
14
-
Main
Three-Item
Syllogisms
1.
Applying Microanalysis to Syllogism.
2.
The Moduses of Premises.
3.
The Moduses of Conclusions
4.
Dealing with Vaguer Propositions
3.
The Moduses of Conclusions.
Putting the data in the above table together in various
combinations, we can now ascertain the moduses of resulting conclusions. As
already said, when the premises have no common modus, they are “inconsistent”.
When some resulting modus(es) fall under causation (c)
and some other(s) under non-causation (not-c),
we must admit that there is “no
conclusion”. In all other cases, there is a conclusion, namely the
determination (whatever it be, at least causation or non-causation) which
includes all the resulting moduses.
The following table lists all these results. Note well that
all weak determinations mentioned in it are intended as absolute, though not so specified. Syllogism with relative weaks
will be considered later.
Table 14.4.
Moduses of conclusions of all syllogisms with strong or absolute weak
positive premises, generic or joint.
|
|
Major
|
Minor
|
Conclusion
|
Common
moduses
|
No.
|
|
|
First
Figure
|
|
|
|
Mood
|
QR
|
PQ
|
PR
|
|
|
|
111
|
mn
|
mn
|
mn
|
130
|
1
|
|
112
|
mn
|
mq
|
mq
|
138
|
1
|
|
113
|
mn
|
np
|
np
|
146
|
1
|
|
114
|
mn
|
pq
|
pq
|
154
|
1
|
|
115
|
mn
|
m
|
m
|
130, 138
|
2
|
|
116
|
mn
|
n
|
n
|
130, 146
|
2
|
|
117
|
mn
|
p
|
p
|
146, 154
|
2
|
|
118
|
mn
|
q
|
q
|
138,
154
|
2
|
|
121
|
mq
|
mn
|
mq
|
132
|
1
|
|
122
|
mq
|
mq
|
mq
|
140
|
1
|
|
123
|
mq
|
np
|
no
conclusion
|
147-148, 162, 164, 178-180
|
7
|
|
124
|
mq
|
pq
|
not-n
|
155-156,
170, 172, 186-188
|
7
|
|
125
|
mq
|
m
|
mq
|
132,
140
|
2
|
|
126
|
mq
|
n
|
no
conclusion
|
132, 147-148, 162, 164, 178-180
|
8
|
|
127
|
mq
|
p
|
no
conclusion
|
147-148, 155-156, 162, 164, 170, 172,
178-180, 186-188
|
14
|
|
128
|
mq
|
q
|
not-n
|
140, 155-156, 170, 172, 186-188
|
8
|
|
131
|
np
|
mn
|
np
|
194
|
1
|
|
132
|
np
|
mq
|
no
conclusion
|
74, 78, 134, 142, 198, 202, 206
|
7
|
|
133
|
np
|
np
|
np
|
210
|
1
|
|
134
|
np
|
pq
|
not-m
|
90, 94, 150, 158, 214, 218, 222
|
7
|
|
135
|
np
|
m
|
no
conclusion
|
74, 78, 134, 142, 194, 198, 202, 206
|
8
|
|
136
|
np
|
n
|
np
|
194, 210
|
2
|
|
137
|
np
|
p
|
not-m
|
90, 94, 150, 158, 210, 214, 218, 222
|
8
|
|
138
|
np
|
q
|
no
conclusion
|
74,
78, 90, 94, 134, 142, 150, 158, 198, 202, 206, 214, 218, 222
|
14
|
|
141
|
pq
|
mn
|
pq
|
196
|
1
|
|
142
|
pq
|
mq
|
not-n
|
76, 80, 136, 144, 200, 204, 208
|
7
|
|
143
|
pq
|
np
|
not-m
|
211-212, 226, 228, 242-244
|
7
|
|
144
|
pq
|
pq
|
no
conclusion
|
91-92,
95-96, 106, 108, 110, 112, 122-124, 126-128, 151-152, 159-160, 166, 168,
174, 176, 182-184, 190-192, 215-216, 219-220, 223-224, 230, 232, 234,
236, 238, 240, 246-248, 250-252, 254-256
|
49
|
|
145
|
pq
|
m
|
not-n
|
76, 80, 136, 144, 196, 200, 204, 208
|
8
|
|
146
|
pq
|
n
|
not-m
|
196, 211-212, 226, 228, 242-244
|
8
|
|
147
|
pq
|
p
|
no
conclusion
|
91-92, 95-96, 106, 108, 110, 112, 122-124,
126-128, 151-152, 159-160, 166, 168, 174, 176, 182-184, 190-192,
211-212, 215-216, 219-220, 223-224, 226, 228, 230, 232, 234, 236, 238,
240, 242-244, 246-248, 250-252, 254-256
|
56
|
|
148
|
pq
|
q
|
no
conclusion
|
76, 80, 91-92, 95-96, 106, 108, 110, 112,
122-124, 126-128, 136, 144, 151-152, 159-160, 166, 168, 174, 176,
182-184, 190-192, 200, 204, 208, 215-216, 219-220, 223-224, 230, 232,
234, 236, 238, 240, 246-248, 250-252, 254-256
|
56
|
|
151
|
m
|
mn
|
m
|
130, 132
|
2
|
|
152
|
m
|
mq
|
mq
|
138,
140
|
2
|
|
153
|
m
|
np
|
no
conclusion
|
146-148,
162, 164, 178-180
|
8
|
|
154
|
m
|
pq
|
not-n
|
154-156, 170, 172, 186-188
|
8
|
|
155
|
m
|
m
|
m
|
130, 132, 138, 140
|
4
|
|
156
|
m
|
n
|
no
conclusion
|
130, 132, 146-148, 162, 164, 178-180
|
10
|
|
157
|
m
|
p
|
no
conclusion
|
146-148,
154-156, 162, 164, 170, 172, 178-180, 186-188
|
16
|
|
158
|
m
|
q
|
not-n
|
138, 140, 154-156, 170, 172, 186-188
|
10
|
|
161
|
n
|
mn
|
n
|
130, 194
|
2
|
|
162
|
n
|
mq
|
no
conclusion
|
74, 78, 134, 138, 142, 198, 202, 206
|
8
|
|
163
|
n
|
np
|
np
|
146, 210
|
2
|
|
164
|
n
|
pq
|
not-m
|
90, 94, 150, 154, 158, 214, 218, 222
|
8
|
|
165
|
n
|
m
|
no
conclusion
|
74, 78, 130, 134, 138, 142, 194, 198, 202,
206
|
10
|
|
166
|
n
|
n
|
n
|
130, 146, 194, 210
|
4
|
|
167
|
n
|
p
|
not-m
|
90,
94, 146, 150, 154, 158, 210, 214, 218, 222
|
10
|
|
168
|
n
|
q
|
no
conclusion
|
74, 78, 90, 94, 134, 138, 142, 150, 154, 158,
198, 202, 206, 214, 218, 222
|
16
|
|
171
|
p
|
mn
|
p
|
194, 196
|
2
|
|
172
|
p
|
mq
|
no
conclusion
|
|
