It's funny that you mention music and notation: sheet music is very compact for musical absolutes like pitch/rhythm/harmony, but a huge part of what we care about with music is nuance, which doesn't reduce cleanly to symbols. Hence there are plenty of words in musical notation that try to describe the desired characteristics of performance, that can't be otherwise encoded into that notation. For example, "with feeling".

That reminds me of an argument on here a while back: where I said I wished Spotify let you filter tracks by presence of pitch-correction or autotune. This wasn't because I thought autotune was 'bad' or modern artists were 'fake', but because sometimes I wanted to listen to vocals as a raw performance - intonation, stability, phrasing - I wanted the option of listening to recordings that let me appreciate the _skill_ possessed by the artists that recorded them.

I got _absolutely destroyed_ in that comments section, with people insisting i'm a snob, that I'm disrespectful, bigoted towards modern artists, there's no way i can actually hear the difference, and if i cant why does it even matter, and anyway everyone uses it now because studio time is expensive and it's so much cheaper than trying to get that perfect take. People got so angry, I got a couple of DMs on Twitter even. All the while I struggled to articulate or justify why I personally value the _skill_ of exceptional raw vocal performance - what I considered to be performance "with feeling".

But, I had to come to terms with the fact that anyone can sing now - no-one can tell the difference, so the skill generally isn't valued any more. Oh, you spent your entire life learning to sing? You studied it? Because you loved music? Sorry dude, I dunno what to say. I guess you'll have to find another way to stand out. You could try losing some weight. Maybe show some skin.

> It is a far more concise and precise way of communicating than using natural languages.

No. We have programming languages because reading and writing binary/hexadecimal is extremely painful to nigh on impossible for humans. And over the years we got better and better languages, from Assembly to C to Python, etc. Natural language was always the implicit ultimate goal of creating programming languages, and each step toward it was primarily hindered by the need to ensure correctness. We still aren't quite there yet, but this is pretty close.

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This is why I never use a calculator. Since my school days I have the skill to do long division. Why hit the sin button when I have the skill to write out a Taylor series expansion? For many other purposes I have the skill to use Newton Raphson methods to calculate values that mostly work.

Those who use a calculator simply don't have these skills.