Interesting.
Inventing is not generally considered science or even engineering- we might not be the right people to ask.
Science is about posing a question, making a hypothesis about the answer and testing the hypothesis with experiment and peer review.
Engineering is about building practical things in a repeatable way (it uses scientific concepts, and scientific method for troubleshooting, but you will not get a PHD in a scientific field for just building something)
Inventing is a kind of engineering where you are not trying to build something already imagined but instead are trying to imagine something new, either a new solution to an existing problem or something that changes the kinds of questions being asked.
This can be illustrated when thinking about a cart pulled by a horse, and a farmer complaining that it keeps getting stuck in the mud.
A scientist would present a theory on why the cart got stuck, and test the theory. He might theorize that the wheels are too narrow and run a test with fatter wheels. Or he might theorize that the horse is too weak and experiment with using oxen or a different horse breed instead. He might theorize that the horse and cart are fine but the road is bad, and test performance on a road with better drainage or surface.
An engineer would usually be presented with the situation. "I have XXX to spend, how do I fix this". He has learned from the scientist's research that wider wheels, stronger horses or better roads might improve the situation, so he compares the cost to the farmer of each and chooses the one that gives the best result for least cost. In the case of the road he might try to get multiple farmers to chip in, as they all use the road.
An inventor tends to change the paradigm entirely. He might instead build a sledge (cart without wheels or an attachment that replaces wheels on muddy days) that allows the horse to pull through mud, or he might invent a harness that lets the horse pull harder without being stronger. He might also invent a new service - perhaps he brings a string of mules around to all the farmers and charges them to transport the produce to market on days too muddy for the farmer's carts.
The point is invention is hard, especially when you are talking about building the invention out of legos. I remember a series of books from my childhood, Alvin Fernald - he invented things like a device that would automatically make his bed for him. (that one almost worked, I rigged it up in my own bedroom...) He was an inventer. I'm just an engineer
