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fractal

we now know is tied to mandelbrot's Geometry it's just it's beautiful and you know in Elke lilies uh whose video if memory serves because I
Concept
fractal
Score
5 · because · evidence
Status
candidate — not yet promoted to canon

Corpus evidence — top 10 passages

Most-relevant passages from the entire indexed corpus (67,286 paragraph chunks across YouTube transcripts, PubMed, arXiv, archive.org, Stanford Encyclopedia of Philosophy, OpenAlex, and more) ranked by semantic similarity (bge-small-en-v1.5).

  1. 01 · yt0.708

    And this was also regarded as a great achievement. And in fact, our friend Alfred North Whitehead was very much involved in that. In 1913, he in collaboration with Bertrand Russell uh, published that epochal work, Principia Mathematica, in three volumes. I think there are few books in the history of the world that have had uh, uh, a comparable influence while at the same time being read only by a handful of people. It's It's so abstract so only a handful of specialists have ever written this book. But let me just say that whereas contemporary uh, mathematicians regard this as a landmark, a a w

    yt/V_ZWBkSNMFg-platonic-physics-in-dialogue-with-wolfgang-smith/transcript.txt

  2. 02 · blog0.699

    This is attained when the details of the work are of a height suitable to their breadth, of a breadth suitable to their length; in a word, when everything has a symmetrical correspondence. Symmetry also is the appropriate harmony arising out of the details of the work itself: the correspondence of each given detail to the form of the design as a whole. As in the human body, from cubit, foot, palm, inch and other small parts come the symmetric quality of eurhythmy. (Vitruvius, 26–27) Aquinas, in a typically Aristotelian pluralist formulation, says that “There are three requirements for beauty.

    blog/plato-stanford-edu/beauty.md

  3. 03 · yt0.699

    But there's this bunch of other areas where we see blue and green right next to one another. And remember from Isaac Newton, he said that blue and green don't really go well together in this sort of sense, and you can kinda get the sense that blue and green create this sort of like tension here. And there's a lot of blue and green kind of smushed next to one another in this particular painting. There's all sorts of different colors. And if I was trying to make a sort of musical analysis of what this painting would be, I would say this is kind of like atonal music or serial music. Music which r

    yt/JiNKlhspdKg-new-horizons-in-music-polyrhythms-loop/transcript.txt

  4. 04 · yt0.697

    If you swim, you're a swimmer. If you run, you're a runner. But if you flow, then you are a flower. Everything in the universe is geometric. Whether it's people, trees, cats, planets, solar systems, you name it. Literally everything in the universe can be measured on a geometric scale. In this same way, we can actually identify that creation is also geometric. And what we're going to look at today is the pattern of creation and see if we can't glimpse the source of all things. Essentially, everything in reality is said to come out of this single pattern. I'm not making this up. This single ima

    yt/1hBRzz1VmK0-sacred-geometry-explained-like-never-before/transcript.txt

  5. 05 · yt0.696

    Beauty can be recognized again, but it requires something our culture despises. Humility, the humility to admit that you might not yet see what's there. That the tradition might know something you don't. That your initial reactions might need refinement. But what exactly are we perceiving when we perceive beauty? What's the structure of beautiful things that makes them beautiful? Here comes a really interesting part. Scrutin's analysis of what makes something beautiful. He identifies three essential elements. Form, imagination, and transcendence. Let me unpack each [music] one. Form is order m

    yt/3Qq2lLa6_8Y-this-changes-everything-you-think-about-beauty-scruton-s-met/transcript.txt

  6. 06 · _intake0.696

    > ideas and intuitions and so on. I always think we need to rely on nature giving us a hint. Uh-huh. Because theory space is infinite dimensional. And if you tip with your finger somewhere and you say, “oh, the metric may be non-symmetric.” Einstein did that, right? I mean, Einstein in his later years, he fanatically looked for the inclusion of Maxwell theory into the geometric framework

    _intake/claims-allbranch/curated-low/einstein/002-ideas-and-intuitions-and-so-on.md

  7. 07 · yt0.694

    >> Very good one. Yes. >> Um I am very fascinated at this distinction you have in this example with the vidantic lens of Indra's net where it is like the blossoming of a flower where there's an unfolding of something that is unfolded uh which I've heard you speak to. And so it reframes our position in the universe when we go from this left hemispheric notion of a mechanistic universe of atoms bouncing off of each other towards a relational universe uh where there's meaning tied into how things are unfolding and uh and I'm just curious if you want to highlight any of your thoughts t

    yt/LZ5C11mlTH4-your-brain-has-2-masters-and-one-is-leading-us-astray-dr-iai/transcript.txt

  8. 08 · yt0.693

    Actually, Schrödinger did that,   right? Schrödinger had a modified idea. Again,  Schrödinger had an idea of modified gravity.   And he said, “no, no, no, no. Einstein does  these non-symmetric metrics. But actually,   a deeper structural concept than the  metric is the connection.” And there   are connections that come from a metric, and  they're more general connections, right? So,   that was Schrödinger's idea. Actually, a wonderful  book by Schrödinger, Space-Time Structure.   A very beautiful, thin book o

    yt/Bnh-UNrxYZg-frederic-schuller-the-physicist-who-derived-gravity-from-ele/transcript.txt

  9. 09 · yt0.689

    And that's what I propose we need, and that's what I was just trying to do with you with the notion of the hermeneutics of suspicion, the proper placement of beauty, the foundational role of the dia-logos, and the ability to track beauty as an answer and a response. Now, I know you'll disagree with me, but I wanted to give you a a a a a respectfully deep answer so that you you that you have something to work with. Thank you. Um I know Wolfgang has been working on uh a a new paper on Platonist cosmology. And um I think that it is part of your quest, Wolfgang, right? To try to provide that throu

    yt/1Lm3y_4a--0-wolfgang-smith-and-john-vervaeke-the-perpetual-promise-inexh/transcript.txt

  10. 10 · yt0.689

    Let's divert yet again to look at something very interesting. There was a man named Keith Critslau who discovered something very important to understanding the geometry of music. First, he drew a straight line through an equilateral triangle and then he measured from the middle of the center line and drew a straight line up to the top edge and back down to the bottom corner. Then he did the same but passed through the center line of the top and back down again. He did this yet again on the other side. You can keep doing this on either side as well. By drawing this funny little form, he discove

    yt/09YGgT8XN_I-flower-of-life-and-sacred-geometry-movie/transcript.txt

Curation checklist

  • ☐ Verify excerpt against source recording
  • ☐ Tag tier (axiom · law · principle · primary derivation · observation)
  • ☐ Cross-cite to ≥1 primary source (PubMed / arXiv / archive.org)
  • ☐ Promote to bucket-canon/01-mathematics/