Knowledge is non-fungible

TL;DR

This paper explores the fundamental nature of knowledge, proposing that knowledge is non-fungible and examining how this impacts mathematical modeling of knowledge addition.

Contribution

It introduces the novel concept that knowledge is non-fungible, challenging traditional views and providing a new perspective on modeling knowledge mathematically.

Findings

Knowledge is non-fungible, meaning each piece of knowledge is unique.

Questions about adding knowledge reveal fundamental issues in its mathematical representation.

The chapter discusses implications for understanding and modeling knowledge in various contexts.

Abstract

What would you do if you were asked to "add" knowledge? Would you say that "one plus one knowledge" is two "knowledges"? Less than that? More? Or something in between? Adding knowledge sounds strange, but it brings to the forefront questions that are as fundamental as they are eclectic. These are questions about the nature of knowledge and about the use of mathematics to model reality. In this chapter, I explore the mathematics of adding knowledge starting from what I believe is an overlooked but key observation: the idea that knowledge is non-fungible.