CHAPTER 5 - HOLOTHETICITY OF AN IMPLICIT TECHNOLOGY

Abstract

This chapter explains the holotheticity of an implicit technology. There is a consistent and systematic way of generating implicit technology from a Lie type of technical change. Under certain conditions, the implicit formulation is presented to be the best approach to the study of the nonhomotheticity structure. By defining an implicitly holothetic technology as a type of technology that is invariant under the twice-extend group of a Lie type of technical progress, one can formulate several useful theorems, one of which is the nonexistence theorem of technical change. In contrast to an explicit technology, it is impossible to find Lie types of technical change under which an implicit technology is holothetic. Even if an implicit technology is holothetic under several Lie types of technical change, this number is limited. Hence, by classifying implicit technologies according to the number of ways under which they are holothetic, one can analyze the structure of implicit technology in the most efficient manner.