The linguist is showing our writing system. This is how we write and it gives you an idea how to spell your words in ourlanguage.
The diplomat shows basically what the government is and all of the laws. So it is like our system with the police and court.
The mathematician shows our math system/ money system. It shows how we calculate numbers and change our symbols into something we understand.
The cartographer is the person who designed gummy world. So in the picture you see our ideas coming to life. We have so many features and this is how we live and what we live around.