The thing that blows my mind is: say you start filling the plane with pi. Pi has been proven to contain every finite sequence. That means that somewhere in the plane is a full physics simulation of YOU in the room you are in right now.
Does that you exist any less fully because its not currently in the memory of a computer being evaluated?
Depending on the infinite grid filling scheme even these properties may not be sufficient to guarantee that every two dimensional pattern is initially generated because the grid is two-dimensional, but the number property is "one-dimensional". A spiral pattern for example may always make it line up in a way such that certain 2d patterns are never generated.
Since it's not provable with pi, then we'd have to do a more circuitous proof of every finite pattern occurring. Inspired by Champernowne's constant, I propose a Pontifier Pattern that is simple, inefficient, but provably contains every finite pattern.
Starting at the origin, mark off rows of squares. the Nth row would contain NxN^2 squares of size n x n. Each square would be filled in left to right reading order with successive binary numbers with the most significant digit at the top left.
Somewhere in that pattern is the physics simulation of you reading this comment :)
Yes, sounds like it! Though I'm thinking that the relative arrangement of patterns would also make a difference. I wonder if such a thing as "all (infinitely many) possible arrangements of all patterns" can exist
My mother is currently dying in the hospital with breathing problems. I mentioned this to her earlier today... I thought this would have been much farther along than it is. Hurry up with the medical tech already!
I remember reading somewhere that because Ternary computing is inherently reversible, that from an information theoretic point of view that ternary computations have a lower theoretical bound on energy usage, and as such could be a way to bypass heat dissipation problems in chips built with ultra-high density, large size, and high computational load.
I wasn't knowledgeable enough to evaluate that claim at the time, and I'm still not.
I recently saw another video about a high accuracy 3d positioning stage. The differences and similarities were very interesting. For instance, both used rigid rods with ball joints for accuracy, but wildly different encoders and testing methods.
I'm attempting to revive/create a streaming service to compete with Netflix et al. without any DRM. This would leverage physical media to eliminate requirements from copyright holders about how you might access something you actually own. There are challenges, and I'm almost certain to be sued, but it's a fight I believe is needed.
I did this by accident in bash scripts many years ago when I was just getting into linux. I'd be running a script, and editing the script at the same time. It caused some REALLY weird issues before I figured out what was happening. For instance I'd change the text somewhere and it would change in the running program, or the program would get into states it should never be in. I didn't use it constructively, I just avoided editing running programs after that.
Consistency is key. I need it too. With 1000 things pulling me this way and that, I get the most done when I just open my IDE and do it. It's so hard though. I feel like an agoraphobic trying to leave the house. What's the big deal? Just open the IDE and start doing stuff... but it's almost physically painful to even think about... I gotta get help.
I get this aversion to action from time to time. I'm a big fan of slapping the earbuds in and just cranking up an album I know by heart. Gets the groove goin
I started thinking about Ven diagrams too and how that might be a useful flow control mechanism. It feels like there is a disconnect somewhere, and im not sure what it is.
We're at the "lol, ai cant draw hands right" stage with these hallucinations, but wait a couple years.