And why goblins have to do their accounting for them.

Although that could also be them being perplexed by the fact that muggles did it with no magic at all.

Imagine us discovering a species that developed computers and tech just like ours, but using neither transistors nor electricity.

I'm not familiar with the series, what's muggle technology?

Logically, that does follow, but we're talking about wizards here.

I always wondered the opposite of the harry potter universe.

So much of math was difficult to teach or obscure because of difficulties in visualization or computation. Surely there would have been at least one wizard over hundreds of years that could figure out how to use the powers of illusion magic to visualize things? To demonstrate integrals to the unfamiliar? To render a fractal like a julia set?

Even if magic iteslf followed little internal logic, it could be used as a tool, surely? But that's the sort of fridge logic (warning tv tropes link) that maybe didn't belong in a story book like Harry Potter. I had to stop reading anyway around the time house elves were introduced, anyway. I took issue with that stuff even when I was a kid.

Exactly what more than 5th grade math do you need in such world?

I think a lot of people forget what they learn in 5th grade math. You learn negative numbers. You learn unit conversion, fraction, prime, square roots.

Would more math help absolutely. Especially with the logic wizard seems to lack. But it is not like many people use higher level math today anyway.

Divination with maths is statistics.

Jesus Christ this book series is fucking stupid

Facts

Source: self

Who needs magic when we have science?

They literally go through the class schedule in each book. General studies are not in it.

Boring? This is the same universe where wizards canonically defecated in the streets and used fecal vanishing spells.

However, when Hogwarts’ plumbing became more elaborate in the eighteenth century (this was a rare instance of wizards copying Muggles, because hitherto they simply relieved themselves wherever they stood, and vanished the evidence), the entrance to the Chamber was threatened, being located on the site of a proposed bathroom.

https://www.wizardingworld.com/writing-by-jk-rowling/chamber-of-secrets

He broke down his door, mutilated his cousin, threatened his uncle, then lured Harry away with cake (which was eaten by said cousin).

arithmetic arithmancy
source :
Arithmancy | Harry Potter Wiki
https://harrypotter.fandom.com/wiki/Arithmancy