@Jasper10,
It is meaningless unless you provide a definition of what "good" and "bad" is. Anytime you use math to define something in the real world, you need to precisely define the terms. Otherwise it is garbage in and garbage out.
Let's say I have a [b
]vector space[/b] where I define "good" and "bad" this way. (A
vector space is a mathematical term that can be thought of as being governed by a set of rules ... it is a little more complicated than that of course, but I am not going to give you a full course in linear algebra here.).
- Anything that has has a vowel as the last letter in the singular form of the most commonly used English word is
good. (I suppose I could be more precise and specify American speakers... etc, but I think this is good enough to make the point.
- Anything that that has a consonant as the last letter (with the same conditions) is
bad.
In this
vector space life is good and death is bad. A baby is good (yeah 'y' counts) and a dog is bad.
I could then define an opposite vector space... where death is good and life is bad.
In that case the mapping function you define... where good changes to bad and bad changes to good... would be the way to transform objects from one vector space to the other.
If you don't define the terms "good" and "bad", then the transformation is meaningless in the real world.