Mathy Stuff and Ternary Logic

The binary perceptive lens is not for the purpose of dividing everything, but for the purpose of uniting everything

A recent essay where I invented the word trivulet as the name of the fundamental ternary logic element ended up becoming a fertile field for new insights. This is now the second post derived from ideas discovered while writing that one. While explaining how ternary logic is different from binary  […]

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On why to use "trivulet" instead of "trit" to describe computing with the fundamental ternary logic element

In the ongoing labor to develop an internally-coherent way of perceiving ternary logic -- and its most famous derivative, binary logic -- I have come to an understanding of how ternary logic is the proper logic of the continuum; not of particles, division, or separation. Particles, division, and  […]

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Upon realizing the Riemann Sphere theory I'm working on is gaining traction independently of me

In a brand new article published yesterday on Medium, Kasper Müller writes about The Riemann Sphere: A world where you can divide by zero in a manner which weaves in some insights that have been the endpoints of several private thought experiments. So as I'm reading the article, not only do I  […]

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Somewheres about 10,000 hours into solving the Riemann Hypothesis, one encounters Dante's lion, wolf, and leopard

Map of Mathematics

Introduction I'm not so good at basic math. I really struggle with understanding many things which any good mathematician aces early. For example, a few elements of calculus still remain over my head, although I have climbed the slopes of that mountain several times. Linear algebra is only just  […]

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Upon realizing I independently discovered another new theory in mathematics

A few months ago, I found that one of the more beautiful ideas I had been developing alone for several years had already been discovered by other mathematicians, who had published rigorous papers on the idea. While my own insights were not yet rigorous, they were developed well enough that I quickly  […]

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Chomsky confirms an element of a developing theory on the ontology of mathematics

As you can see by this third post of the day on the same topic, I'm rather enjoying this interview: Noam Chomsky on Jung, Wittgenstein, and Gödel (Ask Me Anything), and this time I'm not nitpicking his answers, but I find him confirming a hunch I developed as a component of a larger theory on the  […]

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Another non-answer from Chomsky, this time on the hard problem of consciousness

I'm still digging this interview with Noam Chomsky, Noam Chomsky on Jung, Wittgenstein, and Gödel (Ask Me Anything), but this post is similar to another I made earlier today, wherein he gives a complete non-answer to a question for which I really think his answer would be particularly insightful.  […]

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All fractions are one fraction

I call my weblog "Rough Drafts" even though some of the entries are fairly well polished, published after weeks or even months of careful writing and editing before release. But in other entries, I write wild stream-of-consciousness gagompoofery like this. This one is so rough it's right  […]

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