Exactly, To quote Karl Popper, a real philosopher:
"This, then for me is science. I do not try to define it, for very good reasons. ... Definitions are either abbreviations and therefore unneccessary...or they are Aristotelian attempts to 'state the essence' of a word, and therefore unconscious conventional dogmas. "
Popper proposes a rough demarcation criterion for science vs. non-science (that science is predictive, it actively looks for tests and refutations, etc.) I happen to think his demarcation proposal can be improved (I'm not the first or even the hundred-and-first to say this); but in general I agree with his rejection of attempts to define science, except in terms of a description of how science is done.
The quote, BTW, is from 'The Problem of Demarcation (1974), which is excerpted in a book of essays by Popper, called Popper Selections, edited by David Miller, Princeton University Press, 1985.