Any thought-experiment about "universal" programming ideas runs smack into anthropocentrism. Programming languages reflect how we think about problems, and there's no reason to believe an alien intelligence would "think" in the same way.
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To think otherwise is a failure of imagination. If everyone had eidetic memory, how would that change our programming languages? If everybody had perfect metacognition? How would a hivemind write programs? Gaseous lifeforms? Sapient shadows?
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Odds are, when we first encounter another intelligent civilization, we'll both be thinking "I had no idea that was even biologically possible". Then fifty years of xenologists figuring out how to talk to each other, then another fifty of figuring out unspoken assumptions in minds
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"How do you deal with race conditions?" <<We don't need to, we can perfectly track all the timelines in our minds and write the code to never have a race condition>> "Wow." <<When addition is angry how do you calm it>> "We don't need to, our math isn't sapient." <<Wow>>
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Or it could be like this https://www.eyeofmidas.com/scifi/Turtledove_RoadNotTaken.pdf …
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What about Umbu-Ungu are you referring to exactly? I tried to do an internet search and only found they used a different base for their number system - I'm curious if your point was referring to more than that
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It's a lot more complicated than just a different base- check out the IOL-2012 Umbu-Ungu problemhttps://www.ioling.org/problems/2012/i2/ …
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Related: http://tomasp.net/blog/2018/alien-lambda-calculus/ … "Would aliens understand lambda calculus?"
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The parameters of the question are already human-centric -- 21st century humans are sufficiently advanced, but 17th century humans would have basically none of the mathematical formalizations
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But but modus ponens
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