All sorts of ambiguity and hilarity would ensue; to be a good writer, you needed to ensure that words didn't bleed together and form incorrect meanings in unintended combinations. If you lost your place when reading, you'd have to know generally where you were in a scroll, and restart from a place you remembered.
Kinda crazy to think how difficult it would be to cross reference things and do collaborative research with no spaces or pages.
The whole context of written words had so much implicit process and knowledge and institutional memory, compared to now when we have petabytes of throwaway logs and trivial scratchpads for software running on a "just in case I might need to figure something out" basis. I'd love to see a written word graph over time, starting ~4k BC to now. And the complexity and diversity of those automated words are going up like crazy since LLMs.
It's been built up over centuries where new innovations and shifts in perspective often create new kinds of notation, but those most frequently just get tacked onto whatever else is already standard and the new notations almost never actually supplant the old.
AFAICT we haven't really had a big shift in fundamental mathematical notation in Europe (and its colonies) since Roman Numerals (CXXIII) gave way to Arabic (123) numerals four hundred years ago. 8I
Your history is a little confused. Arabic numerals came into use in Europe as early as the 13th century (introduced by Leonardo Fibonacci), but most other mathematical notation like "=" or or "√" didn't show up until the 16th or 17th century.
https://commons.wikimedia.org/wiki/File:Pantheon_Rom_1_cropp...
The parent article mentions that binding the pages of the first bibles in the correct order, in the absence of page numbers, was an extremely tedious work.
That is why page numbers have invented many years later, exactly as you say, "to help printers not mix up pages".
https://en.wikipedia.org/wiki/Gutenberg_Bible#/media/File:Gu...
Hindsight is 20/20 , lol. There are so many obvious, effective constructs and functions in modern English, we kinda miss the absolute janky mess of hacking and tradition and arbitrary rules and facepalm moments that went in to the last 1500+ years of development, let alone the tens of thousands of years prior.
It's an interesting idea. Remember they printed large sheets containing many 'pages', I think even in different orientations, which were then folded and the ends cut to produce a nice orderly codex for the reader. They were printing in a different order than the one you read in.
I do think they numbered the large sheets or similar, and you can find old books that retain that number, but I don't recall what it is called.