George Spencer-Brown (GSB) did some wonderful work for a system of logic that has us consistently painting ourselves into a corner. That's the problem. His work contributes to a system of reasoning that is consistent but incomplete. What he doesn't see (and few who I've encountered who understand his work) is that he is stuck…

## The Circle in the Plane: How bizarre is this?

The circle is a strange creature, and most definitely not as simple as it seems. In fact, you will see that a circle in the plane doesn't enclose anything - that 'inside' and 'outside' are completely arbitrary and in the end, meaningless. Hold on to your seats! Imagine a sphere upon which you've written the…

## Adjacent Existents – A Theory

These ideas are a work in progress. Axiom 1: A Thing "exists" if and only if it also defines what it is "not", which is also a Thing. Axiom 2: A Thing "does not exist" if it is "not not" what it is not - i.e. if it is also its 'not-Thing' - this is…

## Mathematics and the Real

To my previous post, Louis Kauffman, himself, generously took the time to reply. I have included his reply in the comments section of that post. In that comment, I'd promised to continue the discussion in a new post. Here it is, with the brief continuation of the dialogue I had begun with Mr. Kauffman. I…

## On rotations as continuously-reflected translations

rotatn_is_reflected_translatns.pdf is a pdf of a little diagram I created this morning, where I muse with the ideas of transformations and how we can express Rotations (and circularity or curvature) using "not" - the 'omni-dimensional' Reflection (how would you describe a zero-yet-infinity-dimensional thing? "multi-"? or "trans-"?). I don't know why I called those vectors in the diagram…