Yes, but it takes several years of study to understand Euler's identity. It's kind of like e=mc2. Or Newton's gravitational equation, why should it be so? But it is. Euler has another larger identity which connects addition and multiplication which is also tremendous and completely unexpected.
Pythagoras goes a lot farther - he felt that idea and form were God and generated all other realities. It's kind of form and beauty as God. This is a pre-Christian pagan religion.
Numbers are part of the natural, created world, in the realist sense or not. And any part of the created world turns out to be beautiful.
Right, mathematics or science or reason by itself, without the tempering of human considerations, make perfect sense, but lead to disaster.
"God is a mathematician." Einstein
Wonderful to see a gifted mathematician!
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