> > it starts to sound more like math and less like a miracle.
> that applies to all of math. There are no miracles.
Err, what applies to all of math? That it sounds like math?
I do not agree that there are no miracles—plenty of mathematics is miraculous. As a first example off the top of my head, the areas of squares that can be drawn with vertices on the integer lattice in the plane are the integers whose prime factorisations include an even number of times each prime `p` for which `p + 1` is divisible by 4. This is a miraculous relationship between geometry and number theory, and it's just the tip of an iceberg!
> that applies to all of math. There are no miracles.
Err, what applies to all of math? That it sounds like math?
I do not agree that there are no miracles—plenty of mathematics is miraculous. As a first example off the top of my head, the areas of squares that can be drawn with vertices on the integer lattice in the plane are the integers whose prime factorisations include an even number of times each prime `p` for which `p + 1` is divisible by 4. This is a miraculous relationship between geometry and number theory, and it's just the tip of an iceberg!