it's not nonsense to call Australia a continent: it's about three quarters the size of Europe. But it depends how you want to define "continent": geologically, historically, culturally? Only Australia and Antarctica don't have arbitrary borders with other continents. But there's no world government to decree what's a continent and what isn't.
There are arguments for dividing the world into four, five, six or seven continents; you take your pick (but note that all of them include Australia, defined to include Tasmania and New Guinea island, but not "Australasia")
https://en.wikipedia.org/wiki/Continent#Number