One of your three sheep is black. 1/3 - that's a fraction, a idealized representation of the real world. Now you take that concept and do it again over and over ad infinitum.
That's not a magical invention that has no bearing on the world around us. That's just an expression of real world taken to its logical conclusion. It was not invented from a vacuum, it was invented from the input of the world around us.
What is "hokum" is the idea that the human mind would somehow come up with meaningful output without meaningful input to seed it.