The former is the logical approach. This is why:
To believe in something is not the same as knowing something.
Intrinsic to the concept of belief is implication that there is an opposite to belief, disbelief. Not everyone will believe something is true, but all sane and rational people will acknowledge an observable fact.
I can claim that I believe that it will rain at 3:00 AM, six years from today, and someone may agree with me and believe the same thing. If I hold a rock, and drop it, all who are present will acknowledge that a rock had been dropped...unless they are just choosing to be childish, whimsical, or are a philosophy major.
The difference between the matter of the rock and the matter of the rain, is the difference between an observable fact, and a thought accepted as a fact. One is present, provable, undeniable and concrete, the other, howsoever fervently believed, is not. The rain could come, my belief about it could be true enough, but there is no observable proof. There is nothing to point to, nothing to show, nothing to touch, nothing to smell, nothing to be experienced by the senses of myself or others.
The only way belief can be experienced is in the mind. Facts can be experienced both in the mind and by the senses...and what is more, unlike a mental hallucination, the sensory experience can be shared with others.
It is a common error of human beings to allow belief, to allow a mental construct accepted on faith, to become so important, so obsessive, that it is taken as the same thing as fact. Indeed, there are many emotional reasons why a person might be driven to do this, but it still remains that any belief is purely mental whatever it's origin, and the mind can be mistaken.
This means that all beliefs have as part of them an implied doubt. Facts cannot be doubted, they are observably real.
When belief is assumed to be fact, when this mistake is made by a mind clouded by a motivation to assume belief as fact, that belief is considered beyond doubt, just as is a fact.
Beliefs beyond doubt are inherently dangerous. They are dangerous because they are often acted upon as though they were facts, and the inherent weakness of this is that a belief is not a fact.
Beliefs can be, and often are, wrong.
Children in our culture often believe in Santa Claus, in the Easter Bunny and the Tooth Fairy. To them, with their simple minds, these beliefs are facts. This is because very young children may not have developed sufficiently to discriminate between belief and fact.
But even adults can fall prey to such immature thinking, because they are afraid, because they are disturbed, because they are mentally ill, because they are filled with excitement, or a whole host of reasons. Hallucinations can occur that seem so real that they convince the brain that it has experienced observable fact. Such events add false certainty to beliefs.
Understanding always that beliefs are not facts, is the fundamental component of sanity. Confusing the two inevitably leads to catastrophe.
If I believe that by rubbing a hunk of quartz I will gain the Power of Absolute Indestructibility, and I act on this belief as though it were a fact, I will quickly die under the metal onslaught of the first train I attempt to block. My belief might be true, but I have no proof. Acting as though I did have proof would lead to my destruction.
When any belief is accepted as fact, catastrophe is inevitable.