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.
Legally, the expression of an idea is a form of property in the United States and most other nations (looking at you, Vatican City). Conceptually, the two questions ("ideas are/are not property") have been debated in the West for centuries. "We stand on the shoulders of giants" lost, and Fichte/Talfourd won. For better and worse, ideas are property.
>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.
Intellectual property and copyright are not the same thing. Also the presentation of something is an idea just like the something itself, so copyright is also a scam.
They are literally the same thing. "Intellectual property" comprises copyright, patent, trademark, and trade secrets.
>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).
Sophistry. Intellectual work is indeed Work, and people who engage in it expect money for their service, otherwise, they're happier to not do it at all.
Nothing wrong with wanting to get paid. They're monopolists because their means to that end is a literal monopoly. Created something? Government gives you an essentially eternal monopoly on it. In other words: if you're a copyright holder, you're a monopolist. It really is that simple. I suppose I'm also a monopolist.
Then the concept is meaningless. If we go with your definition, Toyota now has a "monopoly" on Toyota Camrys, even though there are quite a few comparable cars for sale from other manufacturers.