Episode 4 Spoilers Out Of Context

Inej comes from a people who have no physical home, who are constantly relocating. And so home for them is the people they surround themselves with. Their family, their loved ones.

Kaz has been birthed in Ketterdam and is a personification of the city itself. When Inej tells him she's not done with Ketterdam, it's understood that the unspoken meaning is that she isn't done with Kaz himself. But what's more important is that when she refers to Ketterdam as her home she's speaking about Kaz specifically. He's her true home.

As is traditional amongst the Suli people, her restless soul calls her to roam the earth, to travel far and wide, to always keep moving. But her heart will always call her back to her true home in Ketterdam. To the boy that is the beating heart of the city. To Kaz.

Kaz is Inej's home. Inej is Kaz's family.

« For many, including myself, mathematics is comforting. In an era of fake news, worldwide illness, and economic uncertainty, mathematics provides proof of another reality which is harmonious, universal, and eternal. Or so it would seem.

In fact mathematics, like all literature, is none of these things. Mathematics is, of course, a human artefact. It is a language which consists of a vocabulary, a grammar, and a community which employs these enthusiastically. Arguably, mathematics is the most refined language ever produced.

[…] The practical […] usefulness of the work of mathematicians does not concern them. Even a brief exposure to number theory, for example, is sufficient to convince most outside the mathematical community (or even outside the community of number theorists) that the things mathematicians are concerned about are essentially trivial. The strange and often captivating relationships among numbers are simply alien to practical experience. The non-mathematician can only ask ‘Why bother?’.

And the answer to this question must be the same as it is to the issue of literature in general. There is no reason for mathematics other than itself. Mathematics is a form of highly refined, esoteric poetry. Its form and subject matter is not to everyone’s taste. But neither is the Iliad, or The Wasteland, or Finnegans Wake. It takes considerable linguistic skill and aesthetic fortitude to comprehend the content of mathematical poetry. Success in such an endeavour is, as usual, its own reward. »

— From a review of Reuben Hersh’s What is Mathematics, Really?

nevermind this kid is perfect to play percy 💀

About proofs

March 18, 2022

I prepared some sources, mainly books, to study proofs in depth. It's funny how they hardly ever teach how to prove in high school. Only students of physical-mathematical areas or those who are oriented to some engineering learn that kind of thing, and they only learn a single technique (yup, induction). I went to review the secondary education plans in my country, and most of the time the word "mathematical proof" appeared in the documents, it was preceded by "without any". The only case mathematical proofs was part of that plan, it was in a concrete math subject made only for engineers.

Kevin Houston's methods seems like a good place to get a first perspective. I will OBVIOUSLY review Hammack's Book of Proof as well, and possibly compare methods to make sure I understand it.

I think I have nothing else to say. Without this, I'm basically lost for practically all the lectures. At the end of the day, I hope to at least prove that if x is an odd integer, then x^3 is odd. Yeah, that's how bad the situation is.

I give you: memes that I think would exist in the grishaverse

https://bluemoonlagoon94.tumblr.com/post/678007640683610112/could-there-be-an-common-theme-of-our-reality-that

What are your thoughts on this?

Interestingly Richard Fenyman remarked the occurence of the Fibonacci sequence and the 'golden angle' (primary part of the fine structure constant) in his work on quantum mechanics. And according to my information progression stuff, yes it wouldn't surprise me that this elementary principle of 'self-replication" might be one of the fundamental underlying patterns.

This is a plain idea I head: dividing the Fibonacci numbers: Larger Fib. number/smaller Fib. number (like 3/2 or 8/5) results in a damped wave alterating around large PHI (1.618...) and smaller number/larger number (like 2/3 or 5/8) results in a damped wave around small phi (0.618...) in the pic I just combined them in a strange axes system - and it's fun to imagine what would happen if you cause torsion and skews upon that visualized model:

Interestingly, the Fibonacci numbers also exist in a certain interference-diffraction pattern/fourier transform, Fraunhofer diffraction to be more concrete.

Made a post about that some days ago(or was it weeks already?): (Although the stretched x-axis is not really required)

In concrete, these describe position probabilities of superposed/entangled elementary particles. It is the pattern recognized in the double slit experiement.

Secondly, as the standard distribution also has connections to the concept of Pascal's triangle, in which the pattern of the fibonacci numbers are also omni-present, this would hint even more on the fundamentality of this logical sequence. But what is it concretely interpreted? In a different approach of interpretation, the Fibonacci sequence can be ragarded as a simple replication sequence, of continuing certain progression patterns, somewhat, yes it sounds silly: "Past+Present=Future, and Present=Past+more previous past", although it is far too simplified if taken literally. In a very rough pattern, this might be correct. But the exact details are generated by that same process just interacting with uncountable similar parallel versions of it (these are what i regarded as butterfly clones in my thesis)- chaos theorists might call them "feedback loops", and you can imagine it as a ball of uncountable worms knotting each other...

Math that is art, and art that is math

For me, drawing 3D plots has something really calming. Although the results have uncountable imperfections, the insight-gaining effect of drawing such illustrations is the most satisfying of all aspects. Makes one see the ratios and connections of the depicted plot's underlying patterns from a different perspective.

I believe someone already mentioned this, but we know that Lil Nas X survived the snap because Shaun and Katy are singing Old Town road in a bar in Shang-Chi. But I’d like to point out just how close these two events were, (the release of Old Town Road and the snap).

In spring of 2018, Thanos snapped and wiped out half of all life.

In October of 2018, Lil Nas X started recording the original Old Town Road, but he found the instrumental even earlier.

The song released on December 3rd, and later re-released with Billy Ray Cyrus on April 5th, 2019.

So, essentially, in a matter of months:

*half of all life is destroyed, governments are in ruins, world consumed with chaos*

Meanwhile Lil Nas X:

I will give $100 to anyone who can spot the difference✌

I see no difference