It depends on your definition of resonance.
I do take issue with this statement:
carbonzit said:
Since low-pass, high-pass, and other filter types only contain either C or L elements, they cannot resonate.
I'm so old, I studied passive LC filter design in college. See
this site for an example. It's true that a lowpass filter does not resonate, but it definitely can have L's and C's. In fact, to make canonical (Butterworth, Chebyshev, etc.) filters without active elements, the filter
must have both L's and C's (except for first order filters, of course).