And if you really want to dive down that rabbit hole I think you have to establish that prefix is better than suffix as well. I'm somewhat dubious of even this claim, since I find suffix easier to reason about. But maybe that's just me.
I think looking at pros and cons (in the abstract and in people's heads) of prefix vs. suffix could be interesting. What I like about suffix is that you can treat it as a stack. What I like about prefix is that I know what kind of node I'm building as I consider the arguments. I've not done enough of either to have much opinion on which matters more (some lisp, some rpn calculators, but not enough). I certainly wasn't agitating for prefix (in particular) above.
Note that English itself is an infix language: "Bob likes Clara" (SVO, infix), rather than "Likes Bob Clara" (VSO, prefix) or "Bob Clara likes" (SOV, suffix). A cursory search tells me SVO and SOV cover 75% of all languages. It would be interesting to see if people speaking SOV languages would prefer suffix notation. I would expect common patterns in (unrelated) world languages to loosely mirror natural dispositions towards syntax. In practice, that's probably a hodge podge of prefix, suffix and infix depending on whether you're dealing with verbs, connectives, prepositions, etc.
Of course, usually there's an implicit subject (receiver): this or self. In a language like ruby, which is very very object oriented, and has a similar thing where you always have a receiver to any function call, every instance has a certain set of stuff (the Kernel module) mixed into it that allows for general tasks to be treated as an implicit receiver. It works pretty well for solving this problem on the other side.
Take for example a common prefix notation: (< a b c d) this stands for "are all increasing?"
Since none are really the subject, most Java-like languages (if they had this at all) would have to invent a subject Integer.areIncreasing(myList). No longer does this give you a valuable subject, just a made up subject.
Certainly some operations (mostly arithmetic) are easier on the eyes since we've had a lot of practice with it.
Whenever I do arithmetic, I use threading macros to make it easier to read. Suddenly, it reads like infix, but with more flexibility.
(+ 4 (- 1 (/ 4 2))) ;; what?!
becomes
(_> 4 (/ _ 2) (- 1 _) (+ 4)) ;; ah
In infix, it would be:
(1 - (4 / 2)) + 4
The threading macro isn't quite as nice as the default infix, but it allows for both notations.
I think the second reads very well all things considered, start with 4, divide by 2, subtract from 1, add 4. (_ is the placeholder).
Re your example with <, the 'natural' object oriented way to do this to me would be to treat the list itself as the subject. [a,b,c,d].isOrdered() say. To the fact that doing it this way in java would be incredibly ugly, I'll only say that I'm not even remotely a fan of java or, for that matter, C++/Java/C#-style static-typed object-orientation.
As to the are increasing, yes, I suppose the list itself would be a more natural subject.
This is why I love macros, not really infix or prefix specifically, because a macro makes it trivial to just have this:
(. [1 2 3 4].isOrdered)
turn into this:
(isOrdered [1 2 3 4])
That way both the human and the compiler get their preferred view.
When you're dealing with human interfaces, existing convention counts enormously.
There is a reason we don't program in English, and keep inventing new programming languages. English is poor and ill suited for the problem, even though it has enormous existing convention.