Is an Unknown Considered a Variable?

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An unknown is generally considered a variable, as it can represent any value until it is defined or proven to exist. The discussion raises the question of whether an unknown is a free or bound variable, suggesting that its classification depends on the context. It is argued that an unknown can be anything or nothing, reinforcing its variable nature. The conclusion drawn is that an unknown is a variable unless it is established as a constant. Thus, the nature of an unknown aligns with the characteristics of a variable in mathematical and logical contexts.
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Is an unknown considered to be a variable? If so, is it a free or bound variable or neither?
 
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It seems logical to say that an unknown can be anything (or nothing), up to it is proved to exist and becomes known (or it is proved to not exist).
 
It's safe to say an unknown is a variable unless it's a constant.
 

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