Spencer-Brown: Cataphatist

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…

Advertisements

OK… So Spencer-Brown isn’t wrong, he’s just cataphatic.

The (cataphatic) Laws of Form George Spencer-Brown did an incredible job of breaking it down to the barest of bare-bones. But he could have gone further - he just didn't see it. He thought the 'Distinction' was "perfect continence" (yes, he notes that 'continence' refers to the archaic meaning - to contain - contain yourselves!),…

The Law of Existence – Part 2

Law of Existence - continued In my previous post, I promised to illustrate how the Laws of Thought, as they are used today, emerge naturally from the Law of Existence. Time to make good on my promise. In a comment left by reader SelfAwarePatterns he mentioned that he didn't see how the Law of the…

The Law of Existence – a better logic?

Overview George Boole's "Laws of Thought" have been extremely useful in many disciplines, but I contend that they are nevertheless incomplete. In their dominance over most of Logic and Philosophy, they have caused a conceptual 'blind spot' in the many fields of research which use or emanate from such reasoning - including the Foundations of…

Set Theory 2.0 – a first attempt

Definition of a Thing: If a Thing is to exist, it must be, by necessity, at the very least 'not' that-from-which-it-exists. This 'not' is what enables it to exist, and as such is the transformation by which it exists. This transformation is the defining boundary of a Thing; the Thing is fully-bounded by "not". But…

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…