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…

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To admit you are a fool…

... is to begin your journey of learning. Is this not typical of the learning process? To realize that one has been naïve and therefore perhaps not utterly wrong, but too hopeful or certainly over confident. I've just finished reading the "Logic: Very Short Introduction" by Graham Priest (Oxford University Press), and man oh man…

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…