If you can refer back to my
post 1141 in this thread, Wilber explains how that faith is different from belief:
The person of faith, on the other hand, will usually have a series of beliefs, but the religious involvement of this person does not seem to be generated solely, or even predominantly by the beliefs. Frequently, in fact, the person cannot say why he is "right" (faith), and should you criticize what reasons he does give, he generally takes it all rather philosophically. In my opinion, this is because belief, in these cases, is not the actual source of the religious involvement; rather the person somehow intuits very God as being immanent in (as well as transcendent to) this world and this life. Beliefs become somewhat secondary, since the same intuition can be put in any number of apparent equivalent ways ("They call Him many who is really One"). The person of faith tends to shun literalism, dogmatism, evangelicalism, fundamentalism, which define almost solely the true believer.
[Emphasis mine]
Going with this understanding, which I find an altogether better and more supportable understanding than merely reducing and equating faith and beliefs as the same thing (as most posters here seem to prefer to do on their own), faith I would say as a part of that 'intuiting' the nature of the Absolute, it puts someone in the position of
openness. That openness allows understanding to come in, as opposed to filtering it out because it doesn't fit within a closed system of belief: either religiously or scientifically.
With that
openness, intuiting without cognitively grasping something (faith), experiences are allow to flourish and grow. Faith, in fact is what allows someone to walk away from religion and its beliefs. That is certainly true in my case as
Example 1. I knew in my heart, without understanding in my head, that the beliefs I was told to accept were untrue. That 'faith', that intuition, allowed me to investigate the claims and find them wanting on a rational basis. That is very much why I said, that atheism, in my case, was faith in action. Doubt is a servant of faith, to help us grow. It was the
heart, that lead the mind to look, to question. As you know well, that if the heart is unwilling to look, so follows the mind. "A man convinced against his
will, remains of same opinion still."
For
Example 2, I'd like to quote something Einstein wrote I think perfectly describes "faith" as expressed above, that intuition, that "emotion" as he calls it below. See how that works to overcome the mind's limitations, to see Truth, that the mind in all its greatness is unable to penetrate. But the heart, or the 'eye of spirit' through faith, can:
“The most beautiful thing we can experience is the mysterious. It is the source of all true art and science. He to whom the emotion is a stranger, who can no longer pause to wonder and stand wrapped in awe, is as good as dead —his eyes are closed. The insight into the mystery of life, coupled though it be with fear, has also given rise to religion. To know what is impenetrable to us really exists, manifesting itself as the highest wisdom and the most radiant beauty, which our dull faculties can comprehend only in their most primitive forms—this knowledge, this feeling is at the center of true religiousness.”
- Albert Einstein, Living Philosophies
You can clearly see here he is speaking of something beyond beliefs. This is the nature of what "faith" in the truest religious sense means. It "has also given rise to religion". That's faith. Now 'beliefs' come in behind it, as supports, and all too often overwhelm and replace faith with "believerism". That's where the posters in this thread get ensnared, unable to differentiate between faith and belief. Not entirely their fault that happened. But it's an error nonetheless.
Example 3, I'd say any great movement of spirituality which overcomes the religious indoctrination that overtake faith. I'd say Jesus and the early Christian movement was in fact just that, overturning the tables of religion. That was all driven by an intuition or faith that Truth was greater than religion. Unfortunately, but predictably, it became a religion itself, and the process of overcoming religion by faith is once again needed. That's where "doubt" comes in. A great book for you to read to understand how Faith and Doubt are bedfellows together, is this book:
Doubt
I could come up with many more, but you asked for three, so I'll stop there. Let me know your thoughts after you carefully consider my points I've made. Faith has a knowledge of something that leads the mind to follow in behind to attempt to understand rationally, as best it can. Faith is knowing with the heart, what the mind cannot yet grasp, if possible at all, such as the nature and existence of "God" itself, or the Absolute, "Ultimate Reality" to give it a less baggage-laden term. "Faith" is the "experience of the Mysterious", as Einstein put it.