Are mathematical theorems property? No, because someone who proved the theorem "owns" it just as much as someone who has studied the proof and learned it by heart. And what about independently discovered theorems? Who owns the idea in that case? Curiously when we talk about science where there is no money, the knowledge is ownerless, but when we talk about engineering where there is money to be made, suddenly inventions are property.
The moment "your" idea travels from your brain to my brain it becomes "my" idea too. Just like a digital file that gets copied from one computer to another is the exact same file, bit for bit. It's senseless to talk about "original" in that case.
>Also the presentation of something is an idea just like the something itself, so
This is exactly what copyright is. Copyright is based on the argument that the presentation of an idea is a unique correspondence to the idea, and constitutes a tangible item to which property value is attached. It's not intangible and ephemeral (an idea) or concrete and unremarkable (a piece of paper that the idea will be written on).
>Curiously when we talk about science where there is no money, the knowledge is ownerless
USDA grant disbursements for ag science alone would make your eyes bleed.