No, I don't think that's anything we'd give reasonable consideration to at this point. When I say 'at this point,' I mean perhaps ever... I don't know really what kind of thing is possible or what we would consider in the future. It's likely nothing. The four of us were that. There were four of us and now there's three of us, so it's just not likely that there's much to be pursued other than the catalog work at this point.
Though ruling out continuing without Cornell, Thayil, Matt Cameron and Ben Shephard do intend to release more Soundgarden music in the form of compilations, live albums and unreleased material spanning their entire career.
So it seems that although some bands have continued after the death of the lead singer, including AC/DC, Queen, Alice in Chains and Stone Temple Pilots, the remaining members of Soundgarden are fine with calling it a career.
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