Unpublished letter, regarding Benjamin Gompertz's critique from John Walsh to Davies Gilbert Walsh responds to Benjamin Gompertz's remarks (AP/10/21) on Walsh's paper on the development of functions (AP/10/16). Walsh attempts to explain the aspects of his argument that Gompertz deemed unclear, using further examples and equations. Includes two diagrams in the text. Subject: Mathematics Written by Walsh in Leitrim Street, Cork [Ireland]. 5 May 1830