Does "escalate" mean "to go up" as an escalator is a machine to carry people up?

Native speaker’s answer
Rebecca
Yeah, pretty much! "Escalate" means "to go up" or "to increase." So here, the hostilities increased or went up in intensity, more than anticipated. It's usually used in a negative sense, or to emphasize the drastic change in something. Ex: Don't let the argument escalate into a fight. Ex: Oil prices have escalated over the last month.