You are all correct, now would you PLEASE just shut the **** up.
Ionus is using "ice age" in the glaciological sense of the term, to refer to a period alternating between extensive glaciations and interglacials.
Parados is using "ice age" in the sense that the 99.9% of people who are not glaciologists use it 99.9% of the time, to refer to the period of extensive glaciation that started around 100,000 years ago and ended about 10,000 years ago. If for some reason they extend their time frame beyond 100,000 years ago, they refer to that as the "last ice age" in a cycle of "ice ages".
As wikipedia says:
Quote: More colloquially, "the ice age" refers to the most recent colder period that peaked at the Last Glacial Maximum approximately 20,000 years ago, in which extensive ice sheets lay over large parts of the North American and Eurasian continents. This article will use the term ice age in the former, glaciological, sense: glacials' for colder periods during ice ages and interglacials for the warmer periods.
So which sense you use it in depends on how pedantic you want to be. Either one is okay, so just drop the whole damned thing and get on with business.
Speaking of pedantic, "Arkham's razor"? Sheesh! You've been reading way too much H.P.Lovecraft. It's Occam, as Parados says. If you're going to refer to it, even if not very usefully, at least attribute it right.