I agree. You have missed by 100 %.
The barbarians is just a term or word that is used from Romans to name the people that are not Romans or part of Roman culture. So for the Romans even the Greeks are barbarians, which were highly civilized.
Barbarians had a lot of inventions that they brought into this world. First of all they made a lot of music instruments,such as the Celtic harp or Uilleann pipes or even the Scottish bagpipe. Second the Romans copied the chainmail that was produce by the celts as well as the helmets with chin guards..
Here is an example of the Celtic soldier and the Roman soldier
Up to the time of the emperor Nero, about 60 AD, Roman soldiers wore a coat of chain-mail armour copied from the Celts, made from links of steel rings, but this Roman has just gotten a new type of body armour made from steel bands, which was cheaper and easier to make than the Celtic-style chain- mail, although it was not as flexible.
The invention of soap, which was also, in some fashion, invented in Arabia and China around the same time. But the Celts are credited with cleaning up Europe during the thousand year span before the year 1. They are also credited with inventing Irish linen and Scottish plaids. The Celts were known for their incredibly intricate patterns on cloth and jewelry.
Around the home and farm their innovations came in the forms of glass bottles, thehandsaw, the rotary reaper, the rotary mill, iron scissors and saws. They are credited with inventing
the wooden milk churn which gives us yummy butter, the quill pen, the hour glass, the screw weight, and both the weight driven clock and spring driven clock. A tasty invention was the creation of
peanut brittle. The Celtic farmer pioneered the
usage of fertilizer, crop rotation and thatched roofing which goes back to the the Bronze Age in Great Britain.
The Celtic people were creative and artistic and
responsible for developing the first recognized and genuine art style in central Europe. They are given
invention credit for metal art work in the form of brooches, wrist cuffs, metal neck and upper arm torcs and cloak pins as well as advancing the potters trade by creating the potters wheel and kick wheel for making clay figures. The invented what is today still referred to as
Celtic knot-work, an intricate design style that seems to have no beginning nor end, and many times includes zoomorphic animal shapes within the design.
The Celts developed the ability to use charcoal to heat metals at higher temperatures and thus innovated travel and warfare by improving upon the wheel shaft by adding iron and spokes. They are considered the first people to domesticate and ride horses. They furthered their domestication of horses with the use of metal by creating the metal bit used on the horses bridle, giving the rider greater control of the horse, as well as creating the harness used for draft horses. The Celts were also the first to put shoes on their horses.
Additional innovations to warfare include the development of the longbow, the steel cross bow and chain mail armor. The blast furnace was created originally in Catalonia in Spain and was re-invented in England in 1350 and most certainly was used by the Celts in their advancement in metallurgy.
The Celts were master horsemen and
they invented the trouser for the solders in their cavalry, which provided protection to the legs from long hours of riding horses.
Other cultural developments attributed to the Celtic people is
the creation of a money system using gold coins, they developed trading centers and the Celtic Knight brought forth the Age of Chivalry and etiquette, and thus kept the woman in high esteem. Perhaps a way to keep the feminine divine alive in their culture.
In addition it is know that
Dacians, Gauls & Iberians used stone walls for defence. For other barbarians I am not sure.
Celts also made
roads out of wood, so they weren't riding in mud when the rain would fall.