timelets

Context can be modeled as a topos (characteristic function within a topos).

When in doubt build a model based on the Kan extension. Or at least, use Lawvere's simplified version of it ( determination/choice).



* Questions (A) -> Little Red Riding Hood (B) -> Learning [Wolf Detection] (C)

A -> C maps to False ( A -> Ω), which hints at the idea that marginal knowledge can be modeled as a topos. We can also show the nature of the transition from Google Search to GPT.

* All objects are marginal.

Красная Шапочка — инструмент для понимания волка-оборотня.

upd. connect to Uber.

Let's use Aristotle's four causes to probe and reveal hidden gems in the Three Little Pigs story, while keeping an eye on potential categorical implications.

Aristotle's theory proposes four main types of causes:
1) Material cause -- an undifferentiated raw material, e.g. straw, sticks, bricks. (M – material)
2) Formal cause –- a form that gives shape to a material. (P – package)
3) Efficient cause –- an active effort to apply a form to a material. (T – technology)
4) Final cause –– an end, a purpose, a final use worth bothering with the whole effort. (R - result)

How does this theory work for the Little Pigs?

1) We have three types of raw materials: a) actual physical materials: straw, etc.; b) pigs' raw labor – a day per each; c) wolf's effort.
2) We also have three types of form: a) house design; b) labor organization that divides each pig's day into work and fun; c) wolf's labor, e.g. trickstery and blowing.
3) Each character (pig/wolf) acts an efficient cause because they shape both the material and their own labor.
4) The purpose for the pigs is to have fun and repel the wolf. For the wolf, it's eating the pigs.

PxT --> MxM --> R.
PxT --> MxM --> RxR. ( when we consider a zero-sum game between the pigs and the wolf).

The outcomes are binary: success(true) and failure (false). Therefore, we can use booleans to measure them, which in turn allows us to apply boolean algebra, so that we can easily evaluate and compare various uses of resources and technology.
Our choice of booleans has an important implications because it helps build a dynamic model that shows life-changing reversals from failure to success and back. (being vs becoming).

If one does not know to which port one is sailing, no wind is favorable. - Seneca

via Remchukov https://youtu.be/fggfPTemnWA?t=3255

Before I forget,

s: P -> D;
t: P -> D;
j: P -> D;
a1: P -> C;
a2; D -> C.

F: C -> Ω (quantity type functor).

C can be thought of as J2BD.

In a simplest case, P = D; therefore, the model collapses to P -> C and becomes a choice problem wrt f: X -> P, wherein X -> C and P -> C are given.

“In 1952, tired of seeing MDs deem premature babies too weak to survive and allowing them to die, she introduced the Apgar score, a ten-point measure of a neonate’s breathing, heart rate, complexion, reflexes, and muscular activity, gathered at one and five minutes after birth. Its spread into medical practice has saved hundreds of thousands of lives and raised our awareness of the costs of premature births”

--- Dacher Keltner. “The Power Paradox: How We Gain and Lose Influence.”

To make it actionable, she introduced relevant dimensions and their quantification.
Also see https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3712619/

https://docs.cdn.yougov.com/1qb5j6pdqd/econTabReport.pdf

Trump voters don't trust most mainstream media outlets, except Fox, because they expose Trump as a liar, which is a practical impossibility in Trumpworld, i.e. "fake news."








"Not trustworthy" is a characteristic function, both for Trump and Biden voters.

“...the Special Products Division next called in Foote, Cone & Belding, the advertising agency that had lately been signed up to handle the E-Car account. With characteristic Madison Avenue vigor, Foote, Cone & Belding organized a competition among the employees of its New York, London, and Chicago offices, offering nothing less than one of the brand-new cars as a prize to whoever thought up an acceptable name.

...Suspecting that the bosses of the Special Products Division might regard this list [18K names] as a trifle unwieldy, the agency got to work and cut it down to six thousand names, which it presented to them in executive session. “There you are,” a Foote, Cone man said triumphantly, flopping a sheaf of papers on the table. “Six thousand names, all alphabetized and cross-referenced.”
A gasp escaped Krafve. “But we don’t want six thousand names,” he said. “We only want one.”
( Read more... )

--- John Brooks. “Business Adventures: Twelve Classic Tales from the World of Wall Street.” Apple Books.

Idea generation is useless when there's no rigorous selection process. I feel that it can be modeled as a topos because the codomain for the names is 1.