We also have evidence of written history through art going back further than that.
Written infers the use of the word so evidence of any written history would begin with those documents using the written word.
The lack of any evidence of the written word being found would supports that the fact that knowledge of the written word wasn't yet one the wisdoms of the Egyptians taught to Moses
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Also look at even older writings from other parts of Mesopotamia that are very similar to the Subgroup that became known as Jews’s writings.
Again the cuneiform is another form of wordless ascription. While the scholars claim to have translated from some of the clay tablets attributed to the Sumerians that were claimed to have been discovered in the mid 1800's, I recall hearing tale from older members of the family that those 6,00o year old tablets sure made it harder to sell the 600,000 year old bones, but I digress.
While the tablets are said to predate the time period represented by the Biblical scriptures, and contain similar stories to those written in the Torah. One particular stories that was translated from amongst those clay tablets was one about a global flood which made the account of Noah's flood sound like it was just copied from that mythological account of a global flood.
But in the poetic nature of sweet justice, the incorrect interpretation of Torah and of a global flood is now known. Which doesn't explain how the translation of the tablets were so similar to the incorrect interpretations of the Torah, yet leaves little doubt about who copied who. Who would have known that when the correct time was determined that the event came to pass when the cloud was brought over the earth, that the waters of the earth couldn't not have become a flood long before the days of Noah.
So when the bow was seen in the cloud, the fact it had already occurred long before the time period in which the events of Noah occurred, it was then revealed that the account of Noah would revel that Pharaoh had actually sent the first settlers to inhabit the Americas.
According to findings, Pharaoh did in fact have a port located on the Red Sea during the time period of Noah. While the ark was described as having no steering or power for control, the boat would have been dependent upon the currents and trade winds to carry those who would be taking that journey on the Ark from Pharaoh's port in the northwest part of the Red Sea to its final destination somewhere in the America.
While one might question how Pharaoh would have know of the Americas much less that sending out such an expedition would reach its destination, however the pyramidic alter should be sufficient to say dam if he didn't. Of course all migration would have originated from somewhere in the Mesopotamia region and wasn't foreseen as necessary until the division of the Kings
It is hard not to think about where I would be sitting if not for that passage that a King arose in Egypt who knew not Joseph, yet it is for times like these when I sit and think that I realize that it is sometimes better to just sit.