The following is the first in a series of lessons that was aimed to non muslim audience to teach the answer to the question that is what is religion. However, this should also be beneficial to muslims, and I am a muslim, and includes answers to the apparent problems related to predestination, the Creator, and similar, and very importantly, what is religion, and to a muslim, what is Islam.
What is truth? Truth is a set of information that are not in contradiction. Given a set of premises, a set of statements that are simply decided to be true, and are themselves not in contradiction, and non of them is implied by one or a combination of others, truth is the set of all statements that are directly or indirectly implied by the premises. The premises form the context. All in all, this means what is true in one context might be false in another, but it still means that we can not pick and choose truth. Also notice how the set of truth is larger than the context.
For completeness I mention that a weaker form of truth, given a context, is the set of all statements that are not in contradiction with the premises of the context.
What is fact? Fact is truth where the premises are the physical part of the world, which also includes time and space. The context includes one extra premise that rejects all premises that are not in the context. All fact is truth, but not all truth is fact. And no truth is partially fact. This is because if a truth is partially fact, its context must include the premises of fact, and if this context includes other premises that are not from the context of fact, it would be a contradiction.
What is correct? A statement is correct if it is true. Hence, what is correct in one context can be incorrect in another.
What is right? A statement is right if it is fact. What is right is necessarily correct, but what is correct is not necessarily right.
The English language retains certain relationships about the word right. A person's right, and the right in right and wrong, are both called right. In other words, a person's right is right. However, the language loses the connection with the word fact. In the old language, a person's right is from the root H Q Q, and is called huq. And right, from right and wrong, is called huq. And fact is called huq. In other words a person's right is a fact. It is not something that you make up. In English this connection is lost, and hence people needed to say, inalienable right.