I would disagree that philosophy is a science and is the search for ultimate causation. Philosophy may lead to empirical reasoning which is associated with science. The reasoning itself is not scientific but a belief system which involves justification and proofs for their justification. Philosophy is closer in my opinion to beliefs and therefore ascertaining those beliefs in the field of epistemology, logic, ethics, and metaphysical in nature. The above mentioned is one goal of philosophy; and whether those beliefs should be taken for granted or rejected or accepted, and ect... Whether one believes in causation or ultimate causation (Ultimate meaning metaphysical?) is exactly what a philosopher may try to determine or reject in the area of metaphysics. Yet, a philosopher may not search nor care for causation such as an infinite regress or infinity or eternity or any other un-caused event. Example: If the philosopher in pragmatic in particular metaphysical view in which causation may be detrimental she might say it does not matter; causation is unhelpful/ not necessary.
I like the post. I don't know what metaphysics is but I get the overall message. Maybe when I take PHY-101 in spring 2021, I will know more about this stuff.
