My new math monograph now is available on Amazon.com and Amazon.co.uk, and soon will be available on other venues via Ingram as well.
The monograph is an attempt to mathematically codify a notion of “moral systems,” and define a sensible measure of distances between them. It delves into a number of related topics, and proposes mathematical proxies for otherwise vague concepts such as hypocrisy, judgment, world-view, and moral trajectory. In addition to detailed derivation of a number of candidate metrics, it offers several examples, including a concrete distance calculation for a simple system. The framework developed is not confined to the analysis of moral systems, and may find use in a wide variety of applications involving decision systems, black box computation, or conditional probability distributions.