"human convention of written language" is a bit much. Stroke order is almost as important as what the actual strokes are in the definition of a Chinese character, for example. Of course unless you literally watch someone write you observe the characters after they're written, but the most predictive latent mental representation of a character does include an order component. I know this because I made the mistake of memorizing many characters almost like bitmaps and have had to go back and learn how to reliably write/read hand written characters.

I don't know what to say other than that the entire purpose of written language is to carry information between people who aren't in a position to directly observe each other writing. (If they were, they could just talk and would not need to write.)

There exist counterexamples in the broader world. Historically in the Sinosphere it was commonish that two people might share a command of written Classical Chinese but not really be able to speak to each other. For a modern example, consider the paper below: https://eric.ed.gov/?id=ED515291

Even learning English the stroke order can help considerably. Mostly it helps in just learning to write legibly, but that really is just a fancy way of saying it increases the accuracy of recognition. :)

I completely concede that it is possible to get the same results with other stroke orderings. However, there is a reason when teaching children how to write, we often get fairly prescriptive with stroke ordering, as well.

In calligraphy there is the notion of 'ductus', or how and in which order the strokes are written. It has a significant effect on the end result, and for each script, there is arguably only one "correct" ductus. A similar concept can be applied to normal handwriting.

I highly doubt people are using non standard stroke orders, unless they are very young or it isn't their first language. However, this scheme probably won't work for cursive, which is how people actually write.

Oddly,I know more folks that were non cursive. Even more interestingly, I would think most cursive is more strict in stroke order.

Going back and fixing up is almost never as legible as getting it right the first time. Even for human readers.

If you truly want to write fast, you go with a shorthand system. I don't know many folks that have tried reading other's shorthands. It probably isn't as tough as you'd imagine, but most of those systems are more demanding on stroke order, not less. If only because the speed is gained by being very prescriptive.

>The human convention of written language it to interpret the symbols after they have been completed, not during the act of writing them.

Not exactly. E.g. Japanese handwriting and the order of strokes etc (also in traditional caligraphy/penmanship)

I understand the idea of looking at completed characters and inferring the original order of strokes.

But are you saying that Japanese writing is only readable if you observe the writer during the act of writing? Because that's what some stroke recognition engines do.

Here's a tangible example. Imagine I write "h l o", pause, then go back and place an "e" in the first space, and an "l" in the second space, then hold it up to you. You're going to see "hello," right?

But an algorithm that tries to interpret the act of writing itself, might see "hlo el", because that's the order in which I wrote the characters.

>But are you saying that Japanese writing is only readable if you observe the writer during the act of writing? Because that's what some stroke recognition engines do.

Not exactly, but the situation, as I understand it, is somewhat related: Japanese writing is better (and thus more readable) if the writer observes (respects) a specific stroke ordering.

So, one doesn't have to observe a writer while he is writing to be able to better read what they wrote. But the ordering of strokes can have impact on readability, even when one sees the written words after they've been completed.