I’m just an amateur but it seems like the argument above yours is pretty airtight, just based on the difference between the mathematic definition of Dimension (

I’m just an amateur but it seems like the argument above yours is pretty airtight, just based on the difference between the mathematic definition of Dimension (“…is informally defined as the minimum number of coordinates needed to specify any point within [a space]”) and the colloquial definition (“a space”) which your last sentence seems to rely on. If I’m reading the first paragraph of Wikipedia right (surely an airtight source for a pedantic argument about advanced mathematics!) “dimensionality” is an adjective describing a space (a set?), so saying that we moved to “the fourth dimension” is about as meaningful as saying we moved to “The Euclidean” or “the big”. Rather than “a euclidean space” or “a big space”. That said you’re colloquially absolutely correct, of course. If I was giving advice to fiction writers or journalists I’d definitely endorse your common-sense argument.