Full Definition of generation
a : a body of living beings constituting a single step in the line of descent from an ancestor
b : a group of individuals born and living contemporaneously
c : a group of individuals having contemporaneously a status (such as students in a school) which each one holds only for a limited period
d : a type or class of objects usually developed from an earlier type
contemporaneously : existing or happening during the same time period.
*edit:
This isnt how most gamers understand the world "generation" applied to consoles.
Its not just about the 1 product, being another in a line from the last one of its kinde.
People are talking past one another, because they have differnt understandings of what the word means applied to consoles.
Nintendo guys here are saying Generations = d.
Others are saying Generations = b.
Both are right.
Nintendos next system is their 9th.
But its not a 9th gen (it wont exist to compete against PS5 or XBtwo, but rather 8th gen systems, PS4 & XB1) = its a 8th gen system in that sense.
It depends on how you think the word generations is used with consoles.
