I expected this to be about Plankalkül or something devised by Babbage.
Yeah, "oldest" needs an asterisk.
Edit: and just three paragraphs in, the author admits they didn't even bother using the oldest version of FORTRAN itself.
So, "oldest" means "rather early".
I was expecting a system like Leibniz notation, Boolean Algebra, Begriffsschrift, or the notation system in Principia Mathematica