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redallia.bsky.social
Erisian Taoist
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My exploration into this liminality framework is rapidly exceeding my ability to handle as an individual. I'm being pulled into too many conceptually lucrative directions at once. I need collaborators. I don't know how to find them.

Here, have some music: www.youtube.com/watch?v=MIBt...

The problem with playing around with this nonsense I've been playing around with is that my brain gets worn out. That goes double because I'm largely relying on intuition and thinking things out through play, rather than perusing the literature or relying on an education. So. Much. Iteration.

𝓘(A, R, ⋔{r₁, r₂, ..., rₙ}) → Path(τ) Where: 𝓘 = Interpreter A = Ambiguous input (e.g., visual, linguistic, symbolic) R = Resolution rule (could be attentional, cultural, logical) ⋔{r₁, r₂, ..., rₙ} = Mutually exclusive resolution states Path(τ) = A trajectory across a tension landscape

Here's my attempt at describing, symbolically, a visual illusion. A : R → ⋔{r₁, r₂} Given ambiguous state A, and resolution rule R, the system outputs a mutually exclusive set (⋔) of possible interpretations (r₁, r₂). Useful for illusions like the Impossible Fork or figure-ground illusions.

A higher-order contradiction might unravel an entire chain of, otherwise stable, recursive definitions if and when that chain is dependent an oscillatory state. That is to say, rules that apply in one state no longer apply in the other.

I'm making solid progress in developing this framework for handling ambiguity in an ironically technical and precise manner. A : T ⭲ ⋔{B₁, B₂} A is the ambiguous drawing, T is the target resolved state, ⋔{B₁, B₂} is the set of two irreconcilable states, and ⭲ is the perceptual oscillation between

My foray into forbidden mathematical territories is realizing formalisms for handling ambiguity. (Duck-Rabbit Illusion) → ⋈{"Those two things sticking out are its ears", "Those two things sticking out are its bill"} Or captured notationally: A→ ⋈{r₁, r₂}

Authoritarians cannot stand to be made fun of, while the real deal leaders would happily join in the comedy. So what we need: pop-up street theater performances of Donny T and the Musk, and their cabinet of clowns acting out each week's political news.

My favorite way of learning stuff is to jump in the deep end and figure things out as I go, picking up concepts as I slam into conceptual walls. I'm pretty atypical though, and enjoy the process of reasoning through things from first principals whenever possible.

Gonna share this 'cause I've never seen *anybody* state it outright: You're allowed to create new math whenever you want. All it math is is just a way of abstractly encoding actions about things. The rest is making sure the system you've created makes sense logically.

Leaning hard into mathematics, paradox, and philosophy hard these days because whenever I look up and try paying attention to what's happening, I start to get all panicky and irrational.

Stepping around an illusion sculpture, seeing the chaos changing shape, only seeing the individual pieces of the sculpture because we're not looking at it from the right perspective. Then we step into the right spot and then... Clarity. This is a mathematical proof.

Towards the end of a search algorithm, it only speeds up as the same elements get sorted again and again, until the algorithm is finished. And it sure seems like we're seeing the same elements again and again these days.

It occurs to me that in mathematics, zero can equal a lot of things, all depending on how we choose to scaffold an equation around that nothing. x=2 is 2=x, is also x-2=0 but also 0=x-2. Looking at an equation backwards like this, we glimpse that mathematics is built on an illusion of certainty.