Is Killing to Save Lives Justifiable?

Abstract

This article explores the application of the mathematical system that Hartman used to develop his calculus of value which in turn underlies formal axiology. Cardinal number arithmetic given in set theory textbooks is this system. Part 1 of this article contains background information on: (1) the nature of cardinal number arithmetic, (2) the manner Hartman adapted it to calculate the value content in situations of human interest, and (3) a modification of one of the calculuses value premises. Part 2 reveals how the modified calculus works in resolving two important problems of a valuation nature not given in Hartman’s The Structure of Value. They are: ! How to determine when wrongs and badness are justified. ! How to redress wrongs and badness. In technical terminology, these processes are known as “justifying trans- positions” and “transposing transpositions.” Their addition to the scope of the calculus of value improves and broadens the application of formal axiology.