The inference which supports that there is a mystery in the construction of the Leaning Tower can be seen in the sentence that shows that there is no historical record or tradition that explains how this tower was built.
It should be noted that an inference is the conclusion that an be deduced based on the information that given in a story.
This inference can be seen in: "It is seven hundred years old, but neither history or tradition say whether it was built as it is, purposely, or whether one of its sides has settled. There is no record that it ever stood straight up."
Through this, we can see that the tower has a peculiar structure, which makes it imposing and arouses the curiosity of its visitors. This curiosity is established because no one knows how to describe how the tower was built or whether it was built all at once, or over time.
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