Comment by jmyeet

This isn't all that significant to anyone who has done Calculus 2 and knows about Taylor's Series.

All this really says is that the Taylor's expansions of e^x and ln x are sufficient to express to express trig functions, which is trivially true from Euler's formula as long as you're in the complex domain.

Arithmetic operations follow from the fact that e^x and ln x are inverses, in particular that e^ln(x) = x.

Taylor's series seem a bit like magic when you first see them but then you get to Real Analysis and find out there are whole classes of functions that they can't express.

This paper is interesting but it's not revolutionary.