And the thinking just happens. Turing shows that if a computer can add, subtract, multiply, and divide, and if it can tell the difference between zero and one, it can do anything. You can take that set of mindless abilities and build them up into structures of indefinite discriminative power, indefinite discerning power, indefinite reflective power. That's the idea of an algorithm. That's one of the roles.
Life is short, and life is complicated.
People can't do everything they'd like to do. And one of the things people can't do is keep track of how their particular bailiwick, their somewhat blinkered specialization, fits into the larger picture. One of the goals for philosophers is to do this better than other people. It's not the only role, but it's one I take very seriously. In the beginning, it was all philosophy.