[pegasus]

The fundamental paradigm shift is the categorical distinction. And what would constitute many new words for you? It introduced a bunch of concepts and terms which we take for granted today, including "derivative", "integral", "infinitesimal", "limit" and even "function", the latter two not a new words, but what does it matter? – the associated meanings were new.

[azakai]

There was a lot new in calculus, but it also didn't come out of nowhere.

That Newton and Leibniz came up with similar ideas in parallel, independently, around the same time (what are the odds?), supports that.

https://en.wikipedia.org/wiki/Leibniz%E2%80%93Newton_calculu...