Science has never proceeded by falsification anyway.
I don't agree with that at all. Falsification of one hypothesis, theory, or model has quite often made room for better ones.
you can't refute just one part of a theory as unscientific, it's either-or.
Says who?
Einstein's 'cosmological constant' was originally a fudge factor based on a thoroughly unscientific presumption. It was also no reason to throw out general relativity.
I thought we already covered that.
We did and I went off on a tangent that muddled my own clarification. I'll try to streamline things.
My apologies, 2 days ago I didn't have the whole text and I was quoting a quotation. Here's more:
"In point of fact, no conclusive disproof of a theory can ever be produced; for it is always possible to say that the experimental results are not reliable, or that the discrepancies which are asserted to exist between the experimental results and the theory are only apparent and that they will disappear with the advance of our understanding. ... If you insist on strict proof (or strict disproof) in the empirical sciences, you will never benefit from experience, and never learn from it how wrong you are." (Popper, “Difficulties of the Demarcation Proposal", 1974)
"There is a legitimate place for dogmatism, though a very limited place. He who gives up his theory too easily in the faceof apparent refutations will never discover the possibilities inherent in his theory. There is room in science for debate: for attack and therefore also for defence. Only if we try to defend them can we learn all the different possibilities inherent in our theories. As always, science is conjecture. You have to conjecture when to stop defending a favourite theory, and when to try a new one." (ibid.)
In his autobiography he wrote: "I also realized that we must not exclude all immunizations, not even all which introduce ad hoc auxiliary hypotheses. ... All this shows not only that some degree of dogmatism is fruitful, even in science, but also that logically speaking falsifiability, or testability, cannot be regarded as a very sharp criterion.”
In an interview 2 years before his death he said that his principle doesn't apply to all sciences, but he didn't say to which ones.
I don't really know all that much about Poppler. Honestly, I wasn't even thinking of him when I first mentioned falsifiability. He's just another guy whose stuff I skimmed over at some point.
The core premise of falsifiability--that something vague enough that it will pass any conceivable test cannot be science--that I find to be a useful dividing line. The specific history of Poppler is neither here nor there. The idea would remain just as useful no matter who it was attributed to.
It's like when I use one of my favorite quotes to illustrate my stance on individual freedom, "rightful liberty is unobstructed action according to our will within limits drawn around us by the equal rights of others" -- it doesn't matter one whit that it was Thomas Jefferson that said it, or that he was a total hypocrite (pontificating on rightful liberty while he sat in his mansion his slaves). The statement can stand on it's own itself doesn't need the authority of a weighty name behind it to ring just as true.
because of your difficulties to accept theoretical physics as science
It's not that I don't accept theoretical physics as science, it's that most theoretical physics claiming to be science still satisfies falsifiability, as Greastrap42 mentions.