“No S is P” surely means that no part of the subjectbelongs to any part of the predicate and no part of the predicate belongs to any part of the subject. The subject and predicate are mutually exclusive.
The following illustrate the E proposition:
1. “No man is immortal.”
2. “No true teacher works for money.”
3. “No thorough student can remain unwise.”
The E proposition may be represented by two circles, the one entirely without the other as in [Fig. 2]:
FIG. 2.
(3) The Particular Affirmative or I Proposition.
This may be symbolized as “Some S is P,” and considered as meaning that a part of the subject belongs to a part of the predicate. It has already been noted that “some” is ambiguous and that its logical signification is “some at least.” (It may be all or it may not be all.) For example, the only logical interpretation which can be placed on “Some men are wise” is, that the investigation has resulted in finding only a part of the man family wise. Whether or not all are wise is unknown as the entire field has not received attention. In no case can it be assumed that all the others are not wise.