Although the meanings of the quantifiers “all” and “no” are fairly intuitive, the word “some” has a specific meaning in logic. The quantifier “some” in logic always means at least one. It is important to remember that categorical propositions relate two sets or classes of objects. Therefore, the words “all” and “no” specify a reference to the entire class being denoted, and the word “some” specifies at least one member of the denoted class. You should form the habit of thinking of categorical propositions in terms of the relationship between two sets, two classes, or two groups of objects that may or may not overlap to various degrees. Consider the following standard-form categorical propositions. Indicate the meaning of these categorical propositions in terms of members of the classes (sets) denoted by the subject term and the predicate term.
Although the meanings of the quantifiers “all” and “no” are fairly intuitive, the word “some” has…
Although the meanings of the quantifiers "all" and "no" are fairly intuitive, the word "some" has a specific meaning in logic. The quantifier "some" in logic always means at least...
