Relations and Multiple Quantification:

In addition to talking about things and their properties, we can talk about the relationships among things, and, to represent such statements symbolically, we often need more than one quantifier.

To symbolize a relation, we make use of a predicate letter and two subject letters.

Let's start with singular statements:

Brazil is larger than Uruguay.
Jane was married to Dan last Saturday.
Lorna sold the Brooklyn Bridge to June.
Everything that exists is a product of the Big Bang.
No South American country is larger than Brazil.
(x)(Sx ~ Lxb)

Relations | Overlapping Quantifiers

Relations and Multiple Quantification

© Copyright 1998, W.W. Norton & Co.