@paulhanke,
Another way to consider it is as a critique of knowledge itself. This is not to say that there are some particular things that we will never know (which is doubtless true) but to say that no matter how much we know, knowledge itself has limitations. But then you will ask 'compared to what'? I would answer 'compared to
sapience'. Sapience, or wisdom, is a quality or an attribute different to knowledge. There is also another quality called intution, which is knowing without knowing how you know. Both are vital parts of human life and logically prior to science. Wisdom and intuition are both different to knowledge, though related, and both vital.
As noted, we now know the composition of stars. We also know the composition of human DNA. We know the causes of nuclear fission and have used it to create massive arsenals of weapons we hopefully will never use. We might use our knowledge of DNA to create designer babies or engineer improvements to our genetic code. But the unscrupulous or the vain will always find ways to exploit the knowledge we have for their own ends. This is not for the lack of knowledge, but for the lack of wisdom.
It is not co-incidental that sapience, wisdom, comprises part of our species name. But we are attempting to redefine ourselves as
Homo Faber, man the maker. It is seriously possible that scientific Western man will embark on the project of remaking himself in accordance with his own predelictions, through technology and genetic engineering.
It is interesting to me how many of the truly great scientists have a much broader view of the matter. Max Planck, in conversation:
Quote: Science cannot solve the ultimate mystery of nature. And that is because, in the last analysis, we ourselves are part of nature and, therefore, part of the mystery that we are trying to solve.
Murphy: Goethe once said that the highest achievement to which the human mind can attain is an attitude of wonder before the elemental phenomena of nature.
Planck: Yes, we are always being brought face to face with the irrational. Else we couldn't have faith. And if we did not have faith, but could solve every puzzle of life by an application of human reason, what an unbearable burden life would be. We would have no art and no music and no wonderment.
[Quantum Questions, op.cit., p154-155]