Cārvāka (or charvak), which is a sub-ideology within Hinduism, contains highly conflicting ideals with the core religious views. For example, it's dominantly atheistic (and that sort of defeats the purpose of a religion).

Moreover, according to this ideology:

* There's no soul.
* Metaphysical concepts ― like reincarnation, an extracorporeal soul, the efficacy of religious rites, other worlds (heaven and hell), fate, and accumulation of merit or demerit through the performance of certain actions ― don't exist.
* There's no afterlife.
* There's nothing wrong in sensual pleasure.

And so on. 

How can this ideology exist within Hinduism?