I suppose you could retry if a write fails (e.g., can't reach a quorum), but you could theoretically end up retrying forever (and 10 seconds or so is forever as far as an interactive user is concerned)... eventually you need to either fail or write inconsistently. So we're just delaying the inevitable.
Also if you're accepting quorum writes to the "major partition" you still have to repair the "minor partition" when it comes back online. There's no traditional DB that implements the sort of read-repair/hinted-handoff/anti-entropy mechanics that Cassandra, Voldemort, and the various proprietary big data stores use.
And we've glossed over my points about newer databases exposing these knobs to clients. It's possible to do exactly what you're describing using Cassandra, for example (er, you might have to do some consistency level tweaking to make writes fail if you can't get a quorum of authoritative nodes, but it wouldn't be hard - and I'm not even sure if that's necessary). It's not possible to do it with MySQL or PostgreSQL without building some intelligent partitioning layer on top. And that layer will probably make it impossible to do joins and add relationship constraints, so you lose any benefits these systems bring to the table.