How to understand the GAI of the subject-predicate of the outspoken proposition

If the extension of the subject or predicate in the outspoken proposition is completely determined, then the subject or predicate of this proposition is GAI's; If the extension of the subject or predicate of a proposition is not completely determined, then the subject or predicate of this proposition is not GAI.

1, the full name affirms the GAI of the subject and predicate of the proposition.

"All S are P" determines all S, that is, all extensions of the subject S, so the subject S belongs to GAI. However, it cannot be concluded that all P's are S's in the stem, so the predicate P is not GAI.

2. GAI with the full name of negative proposition subject and predicate.

"All S are not P" determines all S, that is, all extensions of the subject S, so the subject S belongs to GAI, and all S in the stem are not P, so it can be concluded that all P is not S, that is, all P is certain, so the predicate P belongs to GAI.

3. The subject-predicate GAI of the special affirmative proposition.

"Some S are P" only determines the partial extension of the principal term S, not the whole extension of S, so the principal term S is not GAI. However, it cannot be concluded that all P's are S's in the stem, so the predicate P is not GAI.

4. GAI of subject and predicate of special negative proposition.

"Some S are not P" only determines the partial extension of the principal term S, but not the whole extension of S, so the principal term S is not GAI. Some s are not p, that is to say, some s are not any of p, and the extension of p is certain, so the predicate p belongs to GAI.

Judging from the extension of the subject concept, the GAI of the subject proposition and the full-name proposition are consistent, and both of them judge the complete extension of the subject concept, so the traditional logic classifies the subject proposition as the full-name proposition.

Extended data:

The subject-predicate relationship and subject-predicate extension in blunt judgment are two completely different relationships. The extended relationship between subject and predicate in blunt judgment is the extended relationship between subject and predicate concepts or the relationship between two kinds of things independent of the form of blunt judgment.

When the things reflected by concepts exist and are not all categories, there are five kinds of relationships between concept extensions: the same relationship, the true inclusion relationship, the true inclusion relationship, the cross relationship and the completely different relationship.

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