Another description that can be useful for soft solders which contain silver, is silver-bearing soft solder. Soft solders (with or without silver content) easily melt without a flame, with a soldering iron or soldering gun.. in the range of about 430-650 F temperatures.
Silver-bearing solders are now becoming popular for use in copper plumbing connections (with propane or MAPP gas torches. The newer lead-free plumbing solders are generally silver-bearing (soft) solders with maybe 6% silver content.
Actual silver solders are high temperature application, and hard compared to low temp soft solders. Hard silver solders aren't going to melt/flow with soldering iron temperatures, and are typically stiff like steel wire.
Soft wire solders, even silver-bearing alloys, can easily be wrapped around a finger without discomfort.. trying the same test with hard silver solder will be painful unless the silver solder is very thin.
Hard silver solders are applied by brazing, technically speaking. Applications involving soft solders are soldering, whether or not the heating source is a soldering iron or torch.
As Dan pointed out, neither of these processes will require melting/puddling of the base metals. Both soldering and brazing products (wire, rods) will fail at those temperatures.
One example of metal joining/repair that may improperly be referred to as soldering or brazing, would be those "miracle" aluminum repair rods. These actually require welding, since the rod material is required to mix with the base metal when joining aluminum parts. The welding temperature is fairly low, about 750+ F, simply because aluminum alloys have low melting points. This process wouldn't technically be defined as brazing or soldering, because the filler material/rod is actually mixing with the aluminum alloy base metal.
This aluminum repair rod example gets a little cloudy, because the aluminum repair rods can also be used with other non-ferrous metals.. brass, copper, for example. When these other metals are joined with aluminum repair rods, the process is more closely related to brazing.. but could be considered soldering.