Was pi invented or discovered?

[The Grand Nudger]

The term for and definition of a perfect circle is an invention of humanity, but what it describes is not. Pi is a property of an "object" (obviously using the word loosely) that describes a delineated area. In a dimensionless universe, for example, there would be no circles, perfect or otherwise, and pi would be meaningless. Sure, we've divorced the concept of a circle from our experience of a circle and set it as the standard of an ideal (and for good reasons).....but please, explain to me why a near infinite numbers of perfect circles cannot be found wherever there is a single dimension to parcel up? We don't construct them, we don't see nature "constructing" things that are perfect circles, but purely by the way we define them they are there, everywhere, nevertheless. It would be hard to isolate anything in human experience that is not directly contingent upon some observation of the physical world around us (and this is unsurprising, given our sensory package wouldn't you agree?) Pi, as a property of this thing we call a perfect circle depends on at least a single dimension, pi could not have been anything other than what it was, we could not have "invented" an alternative pi. There's no wiggle room for us here. The very moment we decided to describe some portion of an area (an area, I'll remind you, that we did not invent) as a circle pi's value became set as a relationship. Before we defined that perfect circle that relationship was already set. It waited there, to be discovered.

The concept as it is sometimes said, is not the thing, it is shorthand for communicating "the thing".
(and as Apo so quickly recognized way back, perhaps no one is arguing about anything at all, but working from two separate and distinct ideas of what pi (or any other concept) actually is)