Logic and Reference
I want to better explain why I reject the idea that logic refers to something, such as abstractions or Platonic forms. Words and sentences, of themselves, do not refer to anything. Rather, people can use words and sentences to refer to things. (This should be clear when we remember that the same words and sentences can refer to different things, depending on the context of utterance.) Furthermore, the meaning of a sentence is not always its referent; for we can understand sentences even when a referent is unspecified, and also in cases where the referent is non-existant. (E.g., "The King of France is bald.") From these points it follows, first, that the referent of a sentence depends on how it is used in a particular context; and, second, that sentences can be meaningful even if they have no known referent. When we look at the meaning of a syllogism, we may easily find referents. For example, All men are mortal. Socrates is a man. Therefore, Socrates is mortal. Taken by...