I can easily argue that people don't think in terms of boolean logic. For one, the evidence seems as strong that people generally think backwards from the answer far more than they do forwards from the ingredients. This is often why new things are so long to be discovered. It isn't that people couldn't have gotten there, but they didn't know to go for it.
For two, addition is a wildly disparate thing everywhere we use it. We like to joke that computers made that hard, but literally half of intro chemistry is learning how to get thing to add together in a meaningful way, no? Balancing a chemical equation is a thing.
