Why didn’t the Incas have written language?

The Inca did not have any alphabetic writing to fulfill the purpose of communication and store knowledge. What they did make use of was the Quipu system.

A key subject to be addressed about Inca language is that they didn’t develop any written structure, which had as a consequence the improvement of oral language; they also created a system of communication based on strictly codified knots over a variety of ropes, known as quipus.

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