Insight into Time and its relationship to Good and Evil

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  […]

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The origin of synarché and why it is an infinity greater than all infinities

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  […]

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The Point of Grace

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  […]

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On the rather curious "Analysis and Assessment of Gateway Process" and its long-lost page 25

Consider the following sentence without any context, except that it was written in 1983: "Then I found it necessary to delve into various sources for information concerning quantum mechanics in order to be able to describe the nature and functioning of human consciousness." Think about it  […]

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Mathematical infinity at the beginning instead of at the ends

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  […]

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Imagining the Riemann Sphere rotated for new insights

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  […]

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If i² = -1, what's happening inside i² to get it to -1?

[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  […]

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A binary mindset is actually a single-minded sort of thing

How binary looks like a unity It occurred to me the other day that one of the obstacles preventing people from understanding how binary logic penetrates into every aspect of their lives, and how this pervasiveness causes all kinds of problems they cannot see -- just like fish cannot "see"  […]

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Yes, hyperbolic geometry does describe the inside of a sphere

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  […]

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Initial Meditation on the Point of Humility Required to Envision D. G. Leahy's Cube Like No Other

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  […]

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