Where I conflict with Quine is over his scientism. I do not think that he or Russell are right in believing that what science (natural science?) cannot tell us, we cannot know. There are all sorts of common-sense knowledge and social, political, and moral knowledge that science can tell us little (if anything) about:
that human beings stand in need of love,
that promises are generally to be kept,
that justice involves reciprocity,
that respect for others is, or at least should be, a central feature in our lives, and
that indifference to one's fellow humans is evil
are good examples. People who have no understanding of science---who even lived before the rise of science---can understand them and know them to be justified. And things are no different for us moderns. We need not wait on science to confirm or disconfirm them and for most of them at least we have no understanding of how science could confirm or disconfirm (infirm) them.
--Very slightly redacted from Kai Nielsen, Atheism and Philosophy, New York: Prometheus, 2005, page 11, "Preface to the Paperback Edition". This book (ISBN: 1591022983) was originally published in 1985 as Philosophy and Atheism (ISBN: 0879752890). Get this one, the paperback, since it's much cheaper and has the new (and very long) preface from which I have redacted the quote.
Everything postmodern I've read seems to just be generic old fixed-factor reductionism, the same as Marxism, Behaviorism, Materialism, Contextualism, and so on. Pick your favorite universally determining factors and away we go, spawning universal explanatory reductionisms, arbitrating the existence, nature, and status of what's real, and so on.
Postmodern rhetoric is good for 1) logical analysis, 2) defense attorneys, 3) sociopaths and others into hoodwinking people in various senses, and 4) students who want to rhetorically hoax their way through a substantial number of school courses with writing requirements. Viva Joey Skaggs! [Look up "Sokel Hoax" to see what I mean]
But postmodernism in general makes it much easier when I'm lobbying rich alumni to close down those useless and meaningless wastes of money called philosophy departments---as an expression of their nihilism. Others can play the nihilism game too---but in this case by redirecting the money that's normally used to prop up people who insult the views of those funding them.