It bears noting because this system is intended to replace the normal alignment system and remove good and evil from alignments altogether. As such the standard D&D definitions become null and void when discussing it.
I wasn't just talking about player characters. This was a statement about helping people in general (and selfish is quite different from not good). There is no choices that can willingly be made that can't be considered selfish. Everyone makes choices in their own best interest. Even placing other's interests above your own is done for selfish reasons, though the ones doing it may not consider it such.
There aren't really equations between them. The requirements made just happen to make sense. Paladins tend to believe in some form of order or working for the good of the group, which is white, and if they didn't they'd likely be some other martial group. Monks usually are focused around not being controlled by their emotions while red is about following your emotions with total abandon. Hence the restrictions. They are however much more open than the normal alignment system.
Also, while there are possible connections between this and the old system, they aren't direct connections. Most any alignment could be any colour, there are just some that are more easily seen than others.
Owrtho