> Premise 2: Algorithms are pure mathematical objects.

Algorithms can actually produce a real physical result, whereas mathematics exists beyond pen and paper.

Algorithms that we (programmers) construct usually aren't done in terms of Turing machines or the lambda calculus. Therefore they're not purely mathematical.

> Premise 3: Hahaha, lawyers don't know math but they do know billable hours.

A patent lawyer I worked with had a mechannical engineering degree. I'm fairly sure he knew some math that I didn't.