4 ms·
> the natural base of logarithms turns out to be something else than 2.71828 The Euler number has a very concrete definition (or, actually, quite a few equival
by stared 3y ago
> the natural base of logarithms turns out to be something else than 2.71828
The Euler number has a very concrete definition (or, actually, quite a few equivalent ones). The answer is clear if definitions are the same (all - including the operations we perform and structures we use).
Yet, math we know revolves around the abstraction of (discrete) language AND that we operate with things that we count. Even if we were slime molds (well within the same universe), we may have never developed the concept of integers. At the same time, there could have been 3D geometry without words.