In the August 1970 Word Ways, Dave Silverman observed that

recursive definitions inevitably lead to the Chasing-one's-tail phenomenon.

Analyzing this statement in terms of the recursive definition yields the following result.

In order to establish symmetry, we will exploit a recurrence relation that follows naturally from the recursive definition of [[phi].

n] be a function defined by a discrete recursive definition, and let B [n.

is, even under the relaxation above, a discrete recursive definition.

i) If an account of the common characteristics of the class of things that are artwork is to explain the sense or meaning of 'artwork', then the recursive definition does not do this.

Now Levinson is fully aware that the recursive definition does not explain the sense of 'artwork'.

Within the overload definition, the fixed point of this

recursive definition is represented by a parameter (the program variable [f.

Derive an almost homomorphism from the

recursive definition of [p.

The well-foundedness of many

recursive definitions is obvious enough to be verified automatically.

There is, of course, in Locke no idea of

recursive definitions of truth (or of any other semantic feature), but Locke can, surely, be interpreted as trying to say what a term's having meaning consists in, which is a thoroughly modem ambition.

In the environment of Mendel's experiments, the constraints on the breeding relations between parents and offspring provide a starting point for the

recursive definitions.