Values, Diffs and Functions

We awaken in a world of "things" (e.g. points, states, versions). We call these values. From any ordered pair of values (a, b) we can form a diff from the first to the second. We write this as a→b, pronounced "a to b". (A better terminology could perhaps be simply absolutes and relatives, or abses … Continue reading Values, Diffs and Functions

Notes on the Differences Between Things

This series will deal with the following truly widespread concept: the absolute "state", and the relative "change between states". Some examples: Points and Vectors Certain areas of mathematics (e.g. homogenous co-ordinates in computer graphics) distinguish between points -- i.e. multiple origins -- and vectors, the "displacements between points". You can't really do any operations on … Continue reading Notes on the Differences Between Things