"Property" here comes from mathematics (and I guess similar definition to science). What are the properties of this function? E.g. x * y has the property that x * y = y * x.

So we do import stuff from Mathematics alot.

I think we need better tutorials. It is a hard problem. How to teach something, who is your audience. For an AI tutorial, do I need to explain what inference is? Maybe. If I don't and they don't know it is another weird word.

In terms of brain problem - I have the same thing. It is worse inside the corporate barrier as there is no internet documentation on what the terms mean. I think all we can do is slow down and write cheat sheets until we remember.