Is the continent with Australia in it Oceania or Australia?
Partly, it depends on where you got educated. In many countries of Europe, Oceania is the continent. Calling the continent Australia is pretty much considered "English-centric". The reasoning for calling it Oceania is that Australia is only part of the continent. The extend of the mainland during the ice ages included part of today's Indonesia and Papua-New Guinea. While calling it Australia makes some sense and it is the largest part of the continent, in a sense it is like if we were to call Asia, Russia.


Source: Wikipedia (Maximilian Dörrbecker (Chumwa) - Self made, using this map for the background, CC BY-SA 3.0, https://commons.wikimedia.org/w/index.php?curid=7382691)