Tommy & Dylan and Halloween
The difference between knowing and believing
The actual difference between knowing and believing could be as simple as those that can differentiate wisdom from discretion. However, that may prove to be harder than you think. The case to show definitive evidence while answering this question is nearly impossible, so it’s all about opinion and speculation.
Science
Those that form their answers based upon scientific fact will tell you that the truth here cannot be determined through laboratory experiments or even statistical tests. In order to reach the “burden of proof” evidence needs to be repeatable and consistent. Yet most scientists, even when experiments seem conclusive, will admit no scientific claim is beyond repute. To doubt is the natural scientific answer. So, that leaves the view of knowledge mostly provisional while the intention of believing firmly speculative at best. These scientific views end in awe and mystery.
Religion
A Pope, a Rabbi, a Mormon or Muslim all use their faith and religious teachings to answer this question. This approach takes the statistics out of the equation and inserts the how to believe in to it. As now it becomes a question of “how you believe”. In turn, the knowledge comes from a strong belief in the written word. Yes, there can be common spiritual principles that make believing ultimately real, yet it’s still an end result similar to science as many will doubt the truth is absolute and genuine.
In conclusion
Science is more a tool for the understanding of the natural world and advancing technology. It attempts to distinguish what we know is true from what we believe is true. In doing so often bringing about probable truths. Religion, on the other hand, attempts to morally lift the spirit and answers questions on how and what to do or believe. This eliminates the value of science while never discrediting any scientific revelation.
Yet at their best, both emphasize and equally embrace a deep sense of humility.