<aside> 🧠Content below started as a conversation in the Blockchain for Science Telegram group.
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1. Oksana Stanevich
“🤓 Seminars about General Theory of DAO was INSPIRING 🤓:
General Theory of DAO, First Part. Mitja Goroshevsky uncovers empirical nature of current DAOs, voting paradoxes and wicked problem that should be considered before decentralized governance will be designed.
https://youtu.be/uvEtFlqpSm4?si=cbP_CcZ8Bg6DIxE6
General Theory of DAO, Second Part. Andrey Lyashin is sharing insights of how formal verification can help to develop optimal theoretical frameworks of DAOs.
https://youtu.be/042tnM3AZ_s?si=ydLbyXh2BYgIdLJM”
2. Rod Mamin
Obey hyperstructures :D
As L2 overcomes scalability trilemma from engineering perspective, exactly in that manner Arrows impossibility theory could be overcomed with carefully engineering “structure of structures” - hyperstructures :D
I have a feeling that in general it’s related to ordering sets, and impossibly to create ordering function for every set, but by introducing of structures structures on top of the set it’s possible to order every possible set in a way that makes sense %)
https://en.m.wikipedia.org/wiki/Partially_ordered_set
With different governance systems we are trying to order sets of “proposals “ in a different manners, and by selecting how we introduce the order we create different systems with different properties.
Haha, in a sense- web3 is when mathematicians have a tool to test all the abstract math irl :D
3. Elijah Spina
“I've been thinking of this concept in terms of type recursion vs partially ordered sets, then abstracting into the equivalent of relational database keys.”
Hyperfiles ⛓️🧠Hyperstructures Hyperfiles Data Structures List of Database Structures Data Management Strategies
4. Rod Mamin
Hyperstructures suggest to use non-recursive way of constructing systems, I assume meaning that different rules are applied at differnt levels, but such an approach makes the system a mess
Elijah Spina
Find me references that discuss whether and how partially-ordered sets relate to fractals and hyperstructures
SciSpace
Talked to researchgpt.typeset.io
The relationship between partially-ordered sets, fractals, and hyperstructures is explored through various mathematical frameworks and contexts. For instance, partially ordered sets can be applied to define relationships within hyperstructures, which are then used to construct fractal-type sets in multi-dimensional spaces, highlighting the intricate connections between order, dimensionality, and fractal properties (Luna-Elizarrarás et al., 2020). This integration showcases how mathematical structures can be interconnected to generate complex geometric and algebraic configurations.