How should I read type system notation?
This seems like maybe a right place to evangelize [1] the only hill I've decided to die on: the formatting of type annotations that use a colon in their syntax. Specifically, there should be an equal amount of space on both sides of the colon. I keep meaning to write a proper essay, but this is the essential argument.I think of it this way: there are two symbols that by coincidence are written the same (two aligned dots). I mean that genuinely (as in, I actually think of them as separate things), but it also helps as an explanative device.The first I'll call the prefatory or label(ing) colon. Its usage matches usage in English [2], where the text preceding the colon introduces the text after the colon, or the thing on the left is a label or name for the thing on the right. For example, it is used to start a block (as in Python), or to define a key-value pair, or define a name-value pair in a struct (as in C or Rust).The second is the type annotation. This syntax is borrowed from mathematics. It is a binary relation, and binary relations are written with equal space on the left and right. Just as you'd never write "x= 1" (another relation), "x> y" (relation), or "x+ z" (operator), you'd never write "x: X". Instead you write "x = 1", "x > y", and "x + z" or "x+z" instead.Whenever I see "a: b", I immediately think labeling colon. Despite having seen it thousands of times, I always have to perform an additional mental step (however trivial) when it turns out to be a type annotation; it takes a small amount of mental energy to dismiss each instance of syntax that looks wrong.[Truthfully, I'm somewhat baffled how it would ever even cross anyone's mind when designing a language to write type annotations like "x: X" given the long-established, pre-existing precedent in mathematics and the way its semantics seem backwards (if you had to use a labeling colon, "X: x" would make much more sense to me).]edit: I should be explicit that I'm referring to programming language syntax, and that I much prefer "x : X" over "X x" (there are good reasons I think for the type to be on the right-hand side, but other people have already written about that).[1] "Evangelion" is a really lovely word, from εὐαγγέλιον good news = εὐ- good + ἄγγελος messenger, the double gamma pronounced even in ancient Greek as "ŋg" ("ng") rather than "ːg" ("g").[2] https://en.wikipedia.org/wiki/Colon_(punctuation)#Usage_in_E...