As Etienne Klein shows in his book "Matière à contredire", believing in science often means thinking against your brain. It is admitting that what our brains spontaneously think can be wrong. Thus, the observation of phenomena does not allow us to understand them. For example, our brains and common sense tell us that heavy bodies fall faster than light bodies. While to understand that all bodies fall at the same speed into the void, as Galileo has demonstrated, we must do something other than watch the bodies fall. In other words, the first law of modern science "the fall of Galileo's bodies" is a law that contradicts observation. And Galileo discovered this law, when he had no data and the observations contradicted what he found.
Another example from the article "notre monde est devenu quanttique" by France Culture, we are experiencing paradoxical situations..... Never before have polling firms had such sophisticated tools at their disposal, and yet they are being tested by reality as never before. And beyond that, massive data (or Big Data) promised to make us predictable through algorithms that would anticipate each of our actions, and yet no one could predict the election of Trump or Brexit. It's very disturbing.