Awaken the deep: insights from a meditative adventure on the nature of Speaking and Being

The Deep

First, a brief summary. This morning during meditation I was deep in my heart, listening, when I found myself arriving into a rare condition of clarity. It seemed to me as though I had entered a holy place within my soul, where the veil between heaven and earth is fading. My attention was in a  […]

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How to visualize gravity correctly

This is not how gravity works

First, how to visualize gravity incorrectly   Gravity is illustrated incorrectly in almost all images published over the past century, ever since Einstein determined how gravity works. Only a few artists get it right, while hundreds of books and websites explaining gravity show visually compelling  […]

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Discovering David Wray and not realizing he was the conductor, and thereby seeing a window into sublime joy

The longer I listen to classical music, the deeper grows my ability to discern a depth of quality which I previously missed. I grow hungry for that depth -- or is it a height? -- of quality, and suffer through many mediocre performances in search of the gorgeous ones. And then I find one and am  […]

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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 good at basic math. I struggle with many things which any decent 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 starting to make sense to  […]

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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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A few OSINT (Open Source Intelligence) tools to quickly check your network vulnerabilities

External Network Asset Discovery and Vulnerability Scans This is a list of OSINT (Open Source Intelligence) tools which will quickly give you an awareness of your cybersecurity risk profile. I put this list together when someone said they were quoted $40,000 for security analysis, and wondered if  […]

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Upon realizing I independently discovered a new theory in mathematics

Wheel Theory illustration from Wikipedia

(Note: The two spherical illustrations from this weblog post are taken from a post which I wrote last year; compare with this illustration for Wheel Theory from Wikipedia) It's true that the original discovery by others goes back to 1999, and the first serious paper on this new branch of mathematics  […]

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