There's more than one model for which land masses are continents and there's nothing wrong with the ones that count America as a single continent.
I know. When I wrote that there's no continent called America, I was including that with "in most standard forms of English..." (even though it's arguably not about language). The naming of continents is done differently in different places and has also changed over time. But most English-speaking countries currently don't count America as one continent. It's arbitrary but it is a convention, and that strongly influences how the language is used.
IF I HAD A MINE SHAFT, I don't think I would just abandon it. There's got to be a better way. -- Jack Handley, The New Mexican, 1988.