First of all, the differences are unified.

1. Ideal is the emotional premise of faith. Without ideals, there is no corresponding belief.

2. Faith is the guarantee of ideal will. Without faith, it is often difficult to realize one's ideals.

Second, direct reunification.

Ideals are also beliefs, and beliefs are also ideals. For example, the ideal of productism and the belief of productism.

Definition of ideal: ideal is people's rational pursuit of a bright future that can be achieved through struggle.

Definition of belief: belief is a psychological state in which people firmly believe in a certain concept or trend of things.