Supernovae

How do I systematically become better at becoming better? recursive self-improvement as applying the engineering idea of “improve the system that improves the system” to yourself.

:))

Day 6 For today … I just wanted to share the thing promised last time [here] So I related some real-life experience with the distributed system CAP theorem, so I just published the draft check it out :)))

I just found this channel and ngl peak.

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Very amazing 🫡

One of random and interesting topic I’ve researched abt lol so cool it was requested by u guys in sma

Pearls How the shell gets made🤩 .....An oyster is a soft animal in a hard shell. It built that shell itself. A body layer called the mantle makes shell material, constantly, for life. 🐚How a pearl happens ....Sometimes those shell-making cells get knocked loose a worm drills through, the shell cracks, the animal gets hurt. The loose cells don't stop working. They form a small pocket and keep making shell material inside it. No flat surface to build on, so it grows outward in every direction.

That's a pearl. A piece of the shell factory in the wrong place, still running.

The sand story Not really true

Oysters push sand out. And if the point were to cover something up, the animal would stop once it's covered but it keeps going for years. A pearl doesn't protect the oyster. It's just cells doing their job somewhere they shouldn't be.

What it's made of ….sooo 95% mineral (basically chalk) + 5% soft glue. Chalk snaps. A pearl doesn't. It's much tougher than the chalk inside it. Why The mineral is in tiny flat plates, stacked offset like bricks, with soft glue between each layer. A crack can't run straight through it hits a soft layer and turns sideways. The plates slide instead of breaking.

Weak material + good arrangement = strong thing.

Why it shines The plates are about as thin as a wave of light. Light bounces off different layers and mixes with itself some colours strengthen, some cancel. That's the shifting colour. Same as a soap bubble. And the more even the layers, the shinier and the stronger. Beauty and strength from the same thing 🤍

I just pay anything to hit that skull 👀😁

Oh can't believe I did talk the movie Vi for vendetta … wow

Mewodel

Let me tell u how this site has been helpful https://plato.stanford.edu

Gödel’s Incompleteness Theorem Gödel proved that sufficiently strong, consistent mathematical systems contain true statements they can’t prove within that system.

The trick is basically encoding. He turned symbols and statements into numbers, which let arithmetic talk about statements themselves. He then constructed a sentence that essentially says:

“This statement is not provable in this system.” Sooo...

If the system proves it, there’s a problem. If it doesn’t, the statement is true but unprovable in that system.

Ngl I initially confused myself. I wrote “there are truths that can’t be proved” and also “it’s wrong to say Gödel proved there are truths that can’t be proved.” They’re not actually opposites.

Unprovable always means unprovable in a particular system. A stronger system can prove something the original one couldn’t.

So Gödel isn’t really saying “truth is unknowable.” He’s showing that no sufficiently powerful formal system can capture all mathematical truth from within itself. And apparently this is closely related to the halting problem. Different proofs, but the same weird family of ideas around self-reference and limits.

how weird it is that a system becoming capable of talking about itself is also what exposes its limits.