computation as simulation
One of the realizations we had about computers in the 60s was that they give rise to new and more powerful forms of arguments about many important issues via dynamic simulations. That is, instead of making the fairly dry claims that can be stated in prose and mathematical equations, the computer could carry out the implications of the claims to provide a better sense of whether the claims constituted a worthwhile model of reality. And, if the general literacy of the future could include the writing of these new kinds of claims and not just the consumption (reading) of them, then we would have something like the next 50 year invention after the printing press that could very likely change human thought for the better.
— Alan Kay - The Real Computer Revolution Hasn't Happened Yet