About Proofs

« 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?

GUYS DID YOU SEE THE TIDE PODS COMMERCIAL FEATURING MULTIVERSE OF MADNESS???

Dr. Strange Fanfic writers' hcs were right about the Cloak of Levitation being stubborn and unrelenting when it comes to washing/cleaning itself KAHSHSHHAHSH

“Kiss me until I am sick of it.” 💜

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...

truer words cannot be spoken

me to any fictional character i hate: well you're not even real you dumb bitch

me to any fictional character i love: why aren't you real you dumb bitch

MIT engineers have developed a magnetically steerable, thread-like robot that can actively glide through narrow, winding pathways, such as the labrynthine vasculature of the brain.

In this new paper, the researchers combined their work in hydrogels and in magnetic actuation, to produce a magnetically steerable, hydrogel-coated robotic thread, or guidewire, which they were able to make thin enough to magnetically guide through a life-size silicone replica of the brain’s blood vessels.

The core of the robotic thread is made from nickel-titanium alloy, or “nitinol,” a material that is both bendy and springy. Unlike a clothes hanger, which would retain its shape when bent, a nitinol wire would return to its original shape, giving it more flexibility in winding through tight, tortuous vessels. The team coated the wire’s core in a rubbery paste, or ink, which they embedded throughout with magnetic particles.

Finally, they used a chemical process they developed previously, to coat and bond the magnetic covering with hydrogel — a material that does not affect the responsiveness of the underlying magnetic particles and yet provides the wire with a smooth, friction-free, biocompatible surface.

They demonstrated the robotic thread’s precision and activation by using a large magnet, much like the strings of a marionette, to steer the thread through an obstacle course of small rings, reminiscent of a thread working its way through the eye of a needle.

The researchers also tested the thread in a life-size silicone replica of the brain’s major blood vessels, including clots and aneurysms, modeled after the CT scans of an actual patient’s brain. The team filled the silicone vessels with a liquid simulating the viscosity of blood, then manually manipulated a large magnet around the model to steer the robot through the vessels’ winding, narrow paths.

imagine trying to side w a guy who is some country's national ass 🤡

Imagine being someone who thinks Tony Stark was right in Civil War 🤡

the fact that marc takes every same step steven takes before sleeping to ensure he knows when he's been awake when gets home before the shift, like cleaning the blood, changing clothes, putting the tape on the door, the sand around the bed (unless he carefully steps over it when he leaves which cool), and chaining himself to the bed again is hilarious cause like, dude's a mercenary yet he cannot let poor shop gift-ist steven realise his body is out there in the world, god knows where, every night, sometimes for a couple days, fighting the leader of a cult and his minions to try and stop them from murdering people and all in the name of khonshu, an egyptian god

it's hilarious and i love it

welcome to this weeks episode of 

‘Is this Canon, or is this from a fanfiction I cant remember?”

a memorable mention being ‘is this an original post or did I see it somewhere else?’

A big part of ADHD (and Graves' disease, which can give similar symptoms) is feeling like it's your fault somehow.

That if you did just try harder or put "more effort in", you'd somehow stop struggling.

There can be times where you're at the absolute end of your rope, emotionally and physically exhausted, and you'll still feel like pushing yourself because you "could" be productive right now.

I'm here to tell you to STOP. When you reach those moments, do not suffer in an attempt to get more work done - let's be honest, if you're in that state, the work you do isn't going to reflect your capability anyway.

Right now, you might feel like "productivity" is defined by working or studying or something similar.

This is a lie. Right now, productivity is defined by self-care. Don't try to push the exhaustion aside, even if there are deadlines on the horizon. Right now, focus on keeping YOU healthy enough that you don't end up breaking down. If you've already broken down, now's the time to stop it from happening again.

Drink some cold water, and eat some food. This does NOT have to involve cooking either! Have a microwave meal. Eat cereal out of a mug or a glass. Don't have the executive function available to make a sandwich? Eat the ham slices and bread by themselves.

Can't find the energy to wash up, but you need dishes? Rinse a dish with boiled water. No, it's not the same, but it'll do for now, just for the moment.

The washing up and the cleaning and the deadlines and the stress can WAIT.

Productivity isn't just stuff that affects other people. It's also doing stuff that helps YOU.

You won't be able to properly do the other stuff if your body and mind are shutting down.