The position of philosophical skepticism is something like this:
We cannot know anything about reality with certainty.
Or wiki:
(It is generally agreed that knowledge requires justification. It is not enough to have a true belief: one must also have good reasons for that belief. )
Skeptics claim that it is not possible to have an adequate justification.
Do you think this is correct? Why?
Please note this is different than scientific skepticism. Scientific skepticism is questioning whether claims about reality are justified scientifically...they are testable, evidenced, observable, etc. Scientific skepticism is really just applied science...or scientific inquiry, being critical, etc. Or the general definition of skepticism that is "to question". None of these types of skepticism is being addressed.
If you don't know, how can you know the above (you don't, it's a contradiction)
Of course we can differentiate true from false.
You did it yourself in making the above claim "we cannot know what is true". <-- Is that true? Contradiction again.
I'm no epistemologist, but here's my 2c:
We can have a priori knowledge with certainty. Logic, tautologies, mathematics etc.
We cannot have a posteriori knowledge with absolute certainty. Anything that cannot be derived by reason alone, anything that requires empirical evidence or experience.
It is possible to acknowledge that we can't know anything a posteriori for sure (we can't know for sure that the sky is blue, that apples grow on trees, that perpetual motion machines can't/don't exist) whilst at the same time acknowledging that to a good enough approximation, we can consider them to simply be true, and that if we didn't consider them true, every conversation would devolve into epistemological semantics. That tacit acknowledgement that we can't know anything for sure forms the basis of the scientific method.
Philosophy aside, observation is
flawed by its very nature. Human experience is flawed due to our biology. By our
biases and by the fact that we only experience a tiny part of nature (i.e. in the range of 10^-3 to 10^3 meters/seconds. A being that was far smaller, or far faster than us would experience the universe
very differently). In any case, nature is subjective, depending on the observer (human or otherwise). Physics dictates that 2 observers of the same event can have different accounts of the event yet both be completely correct (
simultaneity).
So 'knowledge' is limited philosophically, biologically and physically. The entire point of 'science' is to build a compendium of knowledge whilst taking these limitations into account. The scientific method (i.e. an iterative cycle between hypothesis <-> verifiable observation) has been developed over the years to grapple with these limitations, and it is the best way we have of dealing with them (evidenced by the fact the scientific method has been so successful).
That's why when it comes to my skepticism, if knowledge is claimed based upon the scientific method, I will generally accept that knowledge to be true (i.e. I am not a skeptic), because the method by which it was gained accounts for limitations of human knowledge, that is all the adequate justification I need to not be skeptical. If knowledge is claimed that is not based on the scientific method, I will be a skeptic. Not sure how that fits into philosophical vs scientific skepticism.