We have instances of a thing divisible into two halves, both in arithmetic and elsewhere; in arithmetic the name of this is “the even,” and the definition is “a number divisible into two equal parts.”

Yes, that is what I mean. So in either case it is the same object, is it not, which we describe, whether, when asked for the definition, we reply by giving the name, or, when asked for the name, we give the definition,—describing one and the same object by the name “even,” and by the definition “a number divisible into two halves”?

Most certainly.

What is the definition of that object which has for its name “soul”?