Fifteen forms of valid syllogism in categorical forms.
There are fifteen forms of categorical valid syllogism. The valid forms of syllogism are link with mood and figured with their latin names.
In the first figure.
M – P
S – M
S – P
in this first figure, the middle term is the subject of the major premise and predicate of the minor premise.
There forms and latin names
A A A – 1. Barbara
E E E – 1. Celarent
A I I -. 1 Darii
EIO -. 1. Ferio
From here, the major premise is universal while minor premise is affirmative.
In Second figure;
P — M
S –. M
S — P
In Second figure, the middle term is the predicate of both premise
A E E — 2. Camestres
E A E — 2. Cesare
A O O — 2. Baroko
E I O — 2. Festino
From here, the major premise is universal while the conclusion is negative.
In the third figure;
M — P
M — S
S — P
In third figure, the middle term is both the subject of both premises.
A I I Datisi
I A I. Disamis
E I O. Ferison
O A O. Bokardo
From here, the minor premise is affirmative while the conclusion is particulars
In fourth figure;
P — M
M — S
S — P
In fourth figure, the middle term is the predicate of major premise and the subject of minor premise.
A E E Camenes
I A I. Dimaris
E I O. Fresison
From here, if the major is a”the minor must be particular ”
If the ” minor is affirmative the conclusion must be particular” and
If the “conclusion is negative, the major must be universal”.
NOTE: How to identify the major, minor and conclusion is as easy. Example
AAA is the mood and it’s of first figure.
A. A. A
E. A. E
Major terms minor terms conclusion.
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Noted these part of GST/GNS (philosophy and logic) and Phil 112/102 first semester work.