What are counter-belief systems?

We have already defined what belief systems are, but now we remain unsure on what a counter belief system really is. I myself have trouble grasping the total meaning of a counter-belief system but I came up with a book by Ronald Britton that helped me a lot.
If you want to see the extract click here please.

A counter-belief is the idea opposing and contradicting a belief, it can be either a belief system itself, a lifestyle, any type of practice that goes against a main belief, or belief system. It can also be any kind of distortion of a belief system. Some examples are:

• Voodoo
• Anarchism
• Satanism
• Atheism
• Sorcery
• Yoga

In order to help us understand more about counter belief systems lets analyze two of the above mentioned.

Atheism is a counter belief system with a very strongly explicit stance. Either the affirmation of the fact that gods do not exist, or the rejection to theism. Atheism is concurrently used along with non-theism and irreligion. Wait a minute if this is so, why is then Buddhism not a counter belief system? Buddhism is not considered an irreligion, the belief in a deity is not part of Buddhism but due to other characteristics of the system it is defined as a religion, and by being a religion that doesn't go against any other belief system it is not a counter belief system but preferably a belief system. Going back to Atheism, Atheists do not adhere to a specific ideology to answer the philosophical questions to which most religions aim to withhold an answer to. So it is a widespread term and is quite common in scientists as in many ways religion does not go with science due to conflict in reasoning as one holds on to faith and the other to specific answers with physical, mathematical proof.

Magic or Sorcery is referred to the counter belief system that is based on a conceptual system that states human ability to control the natural world by paranormal, mystical and supernatural means. It was widely believed in during the middle ages and in ancient civilizations or cultures.

Before finishing with counter belief systems, religious syncretism should be mentioned. It is the fusion of two or more belief systems to create another one, in other words a derivation or distortion of a belief system. Many times it is by syncretism that counter belief systems are created or strengthened.