It's the "confining oneself to phenomena or objects as they appear" where the break from philosophy occurs. From the scientific standpoint you ignore the concept of life after death and other "perplexities of life" because it's not knowable. A true scientist builds models on what phenomena he sees and lays no clams one what he can't. Now you might question how that works with a paleontologist, but confining oneself to phenomena means a he thinks it's reasonable to look for patterns based on what your eyes tell you because they are not deceiving you even if they are not a window to deep truth. A paleontologist does not argue with the fact god could have created the world ten seconds ago, rather he argues "excluding unknowable things" this is the patterns I see. But, a philosopher sees no lines of inquiry outside of his purview and still attacks the unknowable questions such as life after death or the invisible god who does nothing.
PS: A better example from that time would be how a water clock behaves after you leave the room, if it displayed the correct time when you get back may have gotten up and danced about the room before you got back and hidden that from you but if that's the case it's an unknowable truth best ignored for visible phenomena.
Thanks for telling me what skepticism is. no I showed an example of "modern" skepticism that is over 2,000 years old. Think about this ~2,300 years ago people were having the same basic argument as we are having today I can think of no other field which has stagnated to that degree.