1 - software is taught AS mathematics. it can also be expressed AS mathematics (see Functional Programming). There is plenty of math that has nothing to do with nature. Do you know a mathematician? One of their favourite pastimes is making stuff up that "is neat". It doesn't have much to do with anything, other than to float the creator's boat. You still can't patent it.
2 - software is an artistic expression.
3 - software isn't a process, it's a series of expressions ACCELERATED by a computer. We just call it software cause it's a specialized case of math. you mistake biochem for quantum mechanics.
4 - physical is gears, ropes or chemicals. Electrons do not qualify as any of these things.
5 - They don't have time to "use its [sic] own judgment". Have you seen the latest report on the backlog?
6 - "they affect things that are part of the lives of the average Joe on the street" - anybody who writes any code. "But those Joes generally have no idea of the true issues at play" - neither do you. "less than ten in the last 20 years to my count" - learn to count. "copyrights & trademarks" - protect your stuff and leave the rest of us alone. we're hobbiests and open-source developers/users.
"FWIW, my 2c." - and that's going to be $20,000? Buy a programming textbook and get a real job in the field your profession loves to oppress in the name of big business.
That's my Toonie, eh?