Not at all, you sparked thought in an area I find fascinating (philosophy of maths). Albeit I find this specific topic a bit too commonly discussed relative to how important it is, but I'm still happy to talk about it and share my thoughts.
To me, it doesn't sound like you did. The parent comment of yours just stated, albeit bluntly, that the "invention" and "discovery" are fundamentally the same. Whether we use one or the other depends on how big the size of the space of the possibilities feels to us. Math has a very rigid and easily enumerable space of possibilities (strings of symbols), so we call it "discovery", while cooking has an enormous space of possibilities (countless pieces of meat and vegetables, each unique in its configuration of atoms, etc.), so we call it "invention".
When you invent a way to make music, did you really invent it? Or did you simply discover a particular configuration of atoms that can produce sound when handled in a particular way, that was already there in some platonic universe of ideals? Either way, the end result is the same. Nothing really changes.
> Math has a very rigid and easily enumerable space of possibilities (strings of symbols), so we call it "discovery", while cooking has an enormous space of possibilities (countless pieces of meat and vegetables, each unique in its configuration of atoms, etc.), so we call it "invention".
I think you've made a good point here.
Although, to nitpick a bit:
Both spaces (cooking and maths) are infinite, and for most fields of math, uncountably infinite. The difference is in the numbers we are dealing with. For cooking, it's mixtures of trillions of molecules. For maths, it's usually in the order of thousands of symbols (although those ellipses do some infinitely heavy lifting!).
Not at all, you sparked thought in an area I find fascinating (philosophy of maths). Albeit I find this specific topic a bit too commonly discussed relative to how important it is, but I'm still happy to talk about it and share my thoughts.