Many years ago I was in a research group meeting where we were discussing some astrophysics related idea. One of the other graduate students, referencing a particular paper under discussion, made the comment that some feature observed by astronomers is "apparently" caused by a certain type of star. My PhD advisor stopped the grad student right there and asked, "Apparently? What else could it be? There is nothing else that it could be."
He then went on to make the point that in science we are taught to doubt established explanations, but only if we have a reason to doubt it and have an alternate explanation. In this case he explained that expressing skepticism of the commonly accepted explanation was not warranted because we did not have an alternate explanation. The standard explanation did not have any "apparent" problems, it fit with everything else we know about astronomy, stars, and galaxies. So the impulse to maintain a skeptical attitude was not helpful unless we were willing to provide an alternate explanation. Science was about increasing our understanding, and skepticism for skepticism's sake does not do that. He told us that if we are going to doubt the established explanation, even by throwing in a seemingly innocuous "apparently", then we should have a better, alternate explanation.
So how does this fit with the popular conception of science. Typically science is portrayed as constantly asking questions, doubting previous conclusions, and maintaining a skeptical attitude. As one person put it, "science without doubt isn't science at all."
It is easy to find a plethora of quotes about how science doesn't go anywhere without people doubting, asking questions, and throwing out old ideas. Famous science communicators will proudly proclaim that all the old ideas we once thought to be true have now been shown to be false, and we may eventually overturn everything we now think to be true.
In science classes we emphasize the importance of asking questions, being critical, demanding rigor, and not accepting an explanation "just because". But is that how actual scientists do science? We may say that it is, but when it comes down to it scientists never actually "question everything". They only try one thing at a time, and even then they don't throw it out. They look for an explanation within established parameters. Even Thomas Kuhn's paradigm shifters did not "question everything" and throw out all "false ideas of the past." They worked within a larger epistemological approach that had established norms and rules that they did not try to undermine.
What gets lost when popular science communicators tell the stories of Galileo, Newton, and Einstein is that they weren't right because they questioned fundamental assumptions. They were right because their explanations were better than the alternatives.
Galileo wasn't right because he questioned the established science of the day. He was right because his explanation fit with what others took the time and effort to measure and observe. In some cases Galileo wasn't even "right" until hundreds of years later.
Einstein wasn't right because he "thought outside the box" and questioned the established wisdom. He was right because hundreds of other physicists conducted experiments to check if his theories fit the data better than other possibilities. Some of these tests were at first inconclusive, and had to be redesigned to make the necessary measurements.
When it comes down to it, always questioning things, and never accepting explanations and answers really isn't science. It's just ignorance. Maintaining a constant stream of skepticism is not conducive to science. Offering alternate explanations is. Just doubting is not the stuff of science. You must have a reason to doubt. The received wisdom, or standard explanation must fail in some way. Science happens not when we try to break things, but when we try to fix things that we find to be broken.