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What is a beautiful concept or idea that continues to blow your mind?

For me it is Cellular Automata, and more precisely the Game of Life.

Imagine a giant Excel spreadsheet where the cells are randomly chosen to be either "alive" or "dead". Each cell then follows a handful of simple rules.

For example, if a cell is "alive" but has less than 2 "alive" neighbors it "dies" by under-population. If the cell is "alive" and has more than three "alive" neighbors it "dies" from over-population, etc.

Then you sit back and just watch things play out. It turns out that these basic rules at the individual level lead to incredibly complex behaviors at the community level when you zoom out.

It kinda, sorta, maybe resembles... life.

There is colonization, reproduction, evolution, and sometimes even space flight!

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  • Evolution as a concept; not just biological. The fact that you can explain the rise of complex systems with just three things - inheritance, mutation, selection. It's so simple, yet so powerful.

    Perhaps not surprisingly it's directly tied to what OP is talking about cellular automata.

    • DNA still blows my mind. Some weird simple molecules that just happen to like to link together have become the encoding of how complex biological systems are constructed. Then mash two separate sets of DNA together, add a little happenstance, and you have another new being from those three things you mentioned.

    • There's something interesting in here about the persistence of legacy systems that I can't quite put my finger on. Rest assured I will be consumed by the thought for the remainder of the day.

      • There are plenty things that we could talk about legacy systems from an evolutionary approach. It's specially fun when you notice similarities between software and other (yup!) evolutionary systems.

        For example. In Biology you'll often see messy biological genetic pools, full of clearly sub-optimal alleles for a given environment, decreasing in frequency over time but never fully disappearing. They're a lot like machines running Windows XP in 2023, it's just that the selective pressure towards more modern Windows versions was never harsh enough to get rid of them completely.

        Or leftovers in languages that work, but they don't make synchronic sense when you look at other features of the language. Stuff like gender/case in English pronouns, Portuguese proclisis (SOV leftover from Latin in a SVO language), or Italian irregular plurals (leftovers of Latin defunct neuter gender). It's like modern sites that still need animated .GIF support, even if .WEBM would be more consistent with the modern internet.

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