“Can infinity cease to exist?”
Infinity: noun.
Infinity: tangible actor (as it “does” ceasing)
Infinity: exists in Time
Infinity: Has a before and after.
Infinity: Finite.This is established by the asking of the question.—It’s the kind of logic puzzle used to stump Calvinists.—- Turning the question into an answer is surprisingly useful.
“Can infinity cease to exist?”Infinity can cease to exist.From that answer presupposed via the very asking of that question, everything you need to detangle the clever logic game is exposed.==== Oh I could be mistaken. I think we just meant two diff things when we said “computationally”. It itself can’t be computed but it can be worked with as a variable.==== Indeed. It’s used as a “halt” for computation yet if you leave it be, you can work ‘around it’, even to the point of eliminating it, which is a typical mathematician goal when encountered.-infinity + 3x – 5 = 8x + 37 + infinity—- This is one of my old cover photos for FB. I was fascinated by infinitessimals at the time and I *think* I figured out their nature.
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Basically, the engine within an infinitesimal is a corner of rotation.
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always resolves to pixels or fuzzies.
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Think about it though. Pressures at corners; what would it do?
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Ah here is the engine at corners:
https://en.wikipedia.org/wiki/Canonical_transformation
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https://en.wikipedia.org/wiki/Linear_canonical_transformation
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In short, there’s simply NOT enough room on a number line to express what’s going on.
So, pick a point on the line, rotate 90 degrees AWAY from the line (tangent) and go “out” into another dimension. It’s in that new dimension that you’ll find more answers.
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mentally, I visualize the 0 diagonal as a fold in a paper, where one part is horizontal and the other vertical.
No idea why but it helps me.
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This is an area where the development of modern physics and the development of modern mathematics are married and co-evolved, each supporting the other.
Angular momentum is conserved https://en.wikipedia.org/wiki/Noether%27s_theorem or:
” If a system has a continuous symmetry property, then there are corresponding quantities whose values are conserved in time.”
Conservation of energy. Hi physics!
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I like turning my brain around mathematics to find metaphors/analogies to comprehend some of what the concepts being expressed are, as I always had a fascination with time and *was* going to go into quantum physics for college but the professor I wanted was on sabbatical and I didn’t finish college anyway… and to comprehend theoretical physics, you need to know at least some of the math that goes with it.
Well, that ship sailed for me, which is fine, and that was back in 1990 and I’m kind of glad as I would’ve probably been trapped doing String Theory calculations in the 90s and early 00s doing the publish or perish thing.
Flash forward 28 yrs and it remains an interest. I still have an 8th grade voice for talking math most of the time but in comprehension I get vivid imagery when reading the descriptions of math operations. The formulas don’t do it, but the descriptions do.
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For infinitesimals, like Fox Mulder in the early X-Files, “I want to believe” – gosh it’d be so nice to go down infinite caves within multidimensional fractals but I sorta know it’s a limitation of having a short life span and simply not having enough time to traverse the vast distances required to reach borders or find shortcuts, whether of the tiny or the grand.
Still, I’d like to believe in them, but I’m a quanta ultimately, even though I know it’ll never be smooth.
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Still, there’s always a crack to be missed. Within that crack is a fracture and into that fracture you find layers, and through those layers you find other membranes. Squeeze between the membranes and find another world.
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