First off, there's no such thing as, "X philosophy." Philosophy (the noun) is a field of study, there's no such thing as, "My personal philosophy," - you don't get your own philosophy, there's just "philosophy." It wouldn't make sense to say, "well according to my own personal mathematics..." Likewise it doesn't make sense to do this kind of comparative cultural philosophy nonsense. It's extremely plausible that ancient African philosophers could have been absolutely wrong with certain propositions they put forward, and it is absolutely plausible that French philosophers in the early modern age were completely wrong. There's no, "happy smile and hold hands, let's all agree that there are different philosophies." That would be called politics, not philosophy.
> a person is a person through other persons
Secondly, that was not what Descartes was talking about, he was not talking about how to define a person, he was talking about how do you create a platform on which to define absolute truth of the existence of something. He was saying, "well, suppose you have a mind, doesn't matter where that mind comes from, just a mind...if that mind doubts that even itself exists, that doubting proves that it exists, therefore it exists." He wasn't talking about defining personhood, he was talking about securing the foundation of how knowledge works.