If the falsifiability principle is the demarcation of science and is itself not falsifiable, would that mean that the demarcation of science is unscientific?
I don’t know. Maybe. How is the concept of falsifiability not falsifiable?
Thesis: "Swans are [only] white"
Falsification: "Swans are not [only] white"
Now I falsify the falsification "Swans are not not [only] white" = "Swans are [only] white"
But what happens really, when we think about such a "problem"?
I have a concept: "Swans are white" (up to this moment I saw always only white swans).
Now I take a more exact look into reality and I am able to find a foto of a black swan somewhere on the other side of the globe. The foto is trustworthy.
Now I'm able to say "My former concept was wrong - it has to be modified". But what is the best way how to modify it? The falsification "Swans are not white" makes not a big sense, because "[Most] Swans are white" is still a true sentence. Black and white are not colors. Additive color mxing: black is the absence of color - white is a mix of all colors. Subtractive color mixing: black is the mix of all colors - white is the absence of color.
So the "best" new concept - specially if we think about Occams razor too - seems to be now: "Swans are colorless". (As long as we will not find a colored swan).
The problem now: No one understands intuitively the sentence "Swans are colorless". So the most people will say: "Swans are white - but I heard black swans exist too".
So if you think now about the word "falsification" - is this really what we are doing when we think and learn?