Euler S Identity Quotes

“e^(iπ)+1 = 0”
― Leonhard Euler

“Consider Euler’s identity: eiπ + 1 = 0. Here we have the exact situation where a something – the expression on the left – is exactly equal to zero (nothing). The expression on the left is not nonexistence. It has properties, capacities, potentialities, the ability to interact with others of its kind, indeed, to contribute to the entire infinite system of mathematics, which, in the end, reduces to nothing but a set of infinite tautologies expressing 0 = 0. Since we know that eiπ + 1 = 0, we can substitute 0 for eiπ + 1, leaving 0 = 0. So, here we have something whose essence is to exist and yet be nothing. This is true of the whole of ontological mathematics, and it’s the only system of which this is true, hence it’s the only true system.”
― Mike Hockney, Science's War On Reason