## on why you will have trouble predicting what I say in this post

One of the things about complexity/chaos theory is that prediction submits to very specific limits, in the sense that with anything but a VERY simple system, we must give up the potential for long-term predictive certainty.  This is because very small differences can lead towards extremely large differences later down the line, and we...

## Concerning functionalism

I have this feeling that appeals to functional equivalence (or even similarity) are somehow, well, disrespectful, or at least intrinsically misleading.  Functional appeals 'work' because they abstract very specific relations from an otherwise fully real and completely embedded situation, and show how regardless of how those relations come about, if they do, then for the purposes of...

## Harmonic Points and Lines: A Projective Geometric Exercise

WARNING: PROJECTIVE GEOMETRY MAY PUT HOLES IN YOUR BRAIN.  YOUR MIND MIGHT LEAK OUT - IF YOU WANT YOUR MIND IN YOUR BRAIN STOP READING NOW. Okay, here is a geometric exercise that I find very interesting (for some context about WHY it is interesting, look here). It is, however, more complicated than the previous one...

## Why every line is a circle… and vice versa: a projective geometric exercise.

I'd like to make a contribution with regards to circularity/linearity, from a geometrical standpoint.  If you don't like geometry, stop reading, or better yet, read with increased intensity. The polarity between circle/line is one that is fundamental to many geometries - they are taken to be quite different logical entities.  Primarily this arises because of...