Abstract
As we have concluded at the end of the section 1.7, if we interpret classical quantifiers, individual constants, and generalised quantifiers of any known kinds as subsets of P(D), then the semantically unexploited subsets of this set can still remain. Let us assume then that they can serve as interpretations of the extended (beyond quantifiers and constants) term category. Now suppose, for example, that t is a term such that I(t) = {set of idlers, set of students}. Then it turns out that t (or, more precisely, the entity represented by t) possesses, in the sense determined by the truth condition (2) in 1.6, the following properties: being lazy, being a student, being a human, etc. At the same time, it does not possess many other properties, like being a cat, being a girl, being handsome, being not handsome, etc. So t may be identified as lazy student (we do not put here any article since neither does justice to the meaning of the term). In a similar way we may create more objects, and even, in a sense, every thinkable and nameable object, and this procedure will perfectly agree with the bundle theory of objects. If we once admit that an individual may be represented by (or even identified with) a set of properties, why not allow every set of properties to represent an object?