In the abstraction formalism I use, it can be ambiguous whether any particular thing “is a rose”, while still having a roughly-unambiguous concept of roses. It’s exactly like clustering: a cluster can have unambiguous parameters (mean, variance, etc), but it’s still ambiguous whether any particular data point is “in” that cluster.
Good point. I was more thinking that not only could it be ambiguous for a single observer, but different observers could systematically decide differently, and that would be okay.
Are there any concepts that don’t merely have continuous parameters, but are actually part of continuous families? Maybe the notion of “1 foot long”?
In the abstraction formalism I use, it can be ambiguous whether any particular thing “is a rose”, while still having a roughly-unambiguous concept of roses. It’s exactly like clustering: a cluster can have unambiguous parameters (mean, variance, etc), but it’s still ambiguous whether any particular data point is “in” that cluster.
Good point. I was more thinking that not only could it be ambiguous for a single observer, but different observers could systematically decide differently, and that would be okay.
Are there any concepts that don’t merely have continuous parameters, but are actually part of continuous families? Maybe the notion of “1 foot long”?