This "Mathy Stuff and Ternary Logic" category covers mostly mathematical essays, with occasional forays right into ternary logic, which underpins my inquiry into mathematics.
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. […]
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 […]
Got it. Been working on this one for a while, I've seen it in glimpses over the years, but it just fell into place. Infinity is the backside of zero. Just like a quarter has a heads and a tails, this thing I've been calling "the origin" for a long time has a heads and a tails. This idea is […]
Years ago I was impressed by the power of Law to transform me. I was impressed because I was sincerely changing my nature and behaviors due to the way I had encountered Law and Order (the justice side of it), and wanted to ensure that I did not encounter Law in that way before. I began a long series […]
I just now, minutes ago, was drifting between awake and asleep. slowly becoming aware of the lightly falling rain outside, while also in a half-dream state, contemplating random mathematical ideas, when I caught a glimpse of the 1/2 which completes the sphere of infinity. I have glimpsed it […]
The following quote brings a compelling moment of perception into clear view. Dinah is keen that I not misquote her by writing something as sentimental and clichéd as "being at one with the universe." So she describes a process in which there was a "dissolution of the self" and a […]
A fragment of infinity happens when we count "one, two, three, four," or any sequential series of numbers, and conclude it by saying "and so forth, unto infinity." Note, this not infinity, it is only a fragment of it, which represents it. We symbolize this repeated iteration with […]
In a series of meditations on the nature of infinity while in the process of developing a larger concept of a new kind of mathematical infinity -- a super-infinity which contains all possible infinities in an intuitively-coherent way -- I have been bumping into the relationship between time and […]
Reading D.G. Leahy's writing is to me an experience that feels like reading Isaiah. It is obviously densely packed with meaning, but so inscrutable, it's like reading hieroglyphs must have been before the Rosetta Stone was found -- glimpses of meaning percolate up through the text in iridiscent […]
The word infinite is from the Latin roots for "un-limited" or another way to say it: "without-end." Structurally, this word is similar to Greek a-perion, Hebrew ein-sof, Chinese tai-ji, and many others, all referring to the same underlying concept: that which is so great it is […]
I subscribe to a number of techy innovation-rich groups via social media, and every now and then a real gem of the genre comes scrolling past on my newsfeed. A few days ago, social media linked me to a curious article recently posted on Vice Motherboard. I have no interest in astral travel, but the […]
The following is a "thinking-out-loud" kind of thought experiment which sort of went off the rails... and then got righted again. The simplicity of emptiness We accept the simplicity of emptiness as a reliable foundation upon which to establish all of mathematics without question. The […]
This article is related, and a little similar, to another recent article. While researching, I was simultaneously reading through both a Wikipedia entry and a Better Explained discussion on a subject I know fairly well (Imaginary Numbers). The articles were saying the same things from different […]
[I wrote the following while I was learning about how the imaginary realm works. It looks like I didn't yet understand how i is a rotation, and was still thinking of it as a vertical-only movement. So it's a lot of kerfuffle about nothing, but I'm keeping here as a reference point on the journey to […]
I tried for years to get a clear intuitive image for the inside of a sphere, as clear as I already have for the outside of a sphere. It's really hard! I've even been inside a large spherical room (there's a church in Boston with one), and of course, as we all do, I can easily imagine being inside of […]
Before you can understand the physics of mathematical infinity properly you will need to understand the role of local sovereignty in the act of counting. The fundamental structure of infinity is not defined by layers and layers of division-of-divisions which grow larger in quantity but smaller in […]
I was going to call this "Monotonic monads of infinitely superimposed zeros: Inquiries into categorical atomism at the foundation of mathematics" but I think I'll wait a moment before giving this a public title, and go with this working draft, which auto-save calls it "draft […]
At the time this is written, the mathematics and logic of D. G. Leahy are less well known than his philosophical and theological work. Yet it may be the mathematics for which he is remembered longest. For Leahy has discovered a mathematical structure of primordial dimension, a layer of math beneath […]
It is wholly hilarious that I got to this point in studying prime numbers before I learned of the quasicrystalline nature of prime numbers, which was discovered by Freeman Dyson while in idle conversation with Hugh Montgomery over lunch one day in the early 1970s. I knew of the legendary […]
Well, well, well. I am delighted to find yet another piece of private intuition has a respectable home already existing in the public domain. I've been working on this insight for years, but not able to put it into words well enough to relay it to others coherently. Much to my delight, I find that […]