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believed that salvation is achieved through faith alone;

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believed that God predetermines who will be saved.
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The first belief, that salvation is achieved through faith alone, is typically associated with Protestant Christianity, particularly with Martin Luther's doctrine of justification by faith. This belief emphasizes that individuals are saved by placing their trust in God's grace and mercy, rather than relying on their own good works or efforts.

The second belief, that God predetermines who will be saved, is a key tenet of the Calvinist branch of Protestant Christianity, known as predestination. This belief holds that before the creation of the world, God chose certain individuals to receive salvation, irrespective of their own actions or decisions. This belief is based on the concept of divine sovereignty and is often associated with the teachings of theologian John Calvin.

It is important to note that these beliefs are not mutually exclusive, as someone can hold both beliefs simultaneously. However, historically, they have been associated with different branches of Christianity and have caused theological debates and divisions within the Church.