A lot of people who I have spoken with in philosophy courses treat science as if it is completely separate from philosophy. Some scientists, like Stephen Hawking when he was still alive, seem to agree with this view of the two being completely separate. However, after reading some text, I discovered that English philosopher, Sir Francis Bacon, established the scientific method and argued that " science could be achieved by use of a skeptical and methodical approach whereby scientists aim to avoid misleading themselves." Also, science is seen as part of the Enlightenment philosophical movement according to Stanford:
Scientific method became a revolutionary force of the Enlightenment. -Stanford Encyclopedia of Philosophy
Even empiricism, a form of philosophy created by Francis Bacon, is essentially the view that knowledge comes from experience via the senses, and that science also flourishes through observation and experiment. To me, this would make science a branch or part of philosophy. Is this assumption correct, and if so, why do so many people see science and philosophy as completely separate? Was there any philosophical movement or thought reform that led to the separation of the two, or does science continue to be part of philosophy and the idea of them being completely separate is simply a misinterpretation?