To argue that its validity can be explained by the theory of syllogism would require that we show that " Socrates is a man " is the equivalent of a categorical proposition.
12.
In the categorical proposition " All S is P ", the subject term'S'is said to be distributed, that is, all members of its class are exhausted in its expression.
13.
:The categorical proposition " Some man is not learned " has the same meaning as the existential proposition " A non-learned man exists " or " there is a non-learned man ".
14.
I do not and have not adhered to the tenets of the Communist party . " Note that a categorical proposition is a very different thing; " some cats are tailless " is one.
15.
Arguments consisting of three categorical propositions & mdash; two as premises and one as conclusion & mdash; are known as categorical syllogisms and were of paramount importance from the times of ancient Greek logicians through the Middle Ages.