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That's what we mean when we speak about the Mycenaeans
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and the Mycenaean Period. And please keep in mind
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that they are Greek speakers; and we know this with confidence,
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something we didn't know at the beginning of the twentieth century,
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because written evidence is available
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on a bunch of clay tablets that were accidentally baked
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in some conflagration in these places.
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The same thing is true of Knossos in Crete,
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and perhaps a few other sites in Crete.
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Not at the same time,
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but the reason we have any written evidence at all
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is that there was some kind of conflagration