Choice of appropriate notation can absolutely make one version of a formula "more perfect" than another. Maxwell's equations underwent a painstaking "evolutionary" process as vector notation improved.
Ditto for proofs; it's not hard to believe that Albert Einstein could prove a theorem from scratch and end up with a better argument than one found in a previous textbooks.
The fatal flaw in the article, rather, is exemplified by the quote
> With the advent of Einstein, mathematics ceased to be an exact science in the fashion of Euclid.
Which I am in complete disagreement with. Einstein exploited elegant, novel (at the time), anything but inexact mathematical tools for his theory. That the theory posits uncertainty and, well, relativity of real-world phenomena has no bearing on the exactitude of mathematics. If anyone ever put a dent in that, it should be Gödel :)
Ditto for proofs; it's not hard to believe that Albert Einstein could prove a theorem from scratch and end up with a better argument than one found in a previous textbooks.
The fatal flaw in the article, rather, is exemplified by the quote
> With the advent of Einstein, mathematics ceased to be an exact science in the fashion of Euclid.
Which I am in complete disagreement with. Einstein exploited elegant, novel (at the time), anything but inexact mathematical tools for his theory. That the theory posits uncertainty and, well, relativity of real-world phenomena has no bearing on the exactitude of mathematics. If anyone ever put a dent in that, it should be Gödel :)