Kendall Walton

In nelson goodman's "languages of art" a symbol system must be 'finitely differentiated', both syntactically and semantically, to count as a 'notation'. goodman's formulations of these differentiation requirements are seriously defective. it is shown that most of the examples of systems which he claims fail these requirements, do not fail them as they are stated. reformulations of the two requirements are offered, which accord with the examples and seem otherwise acceptable