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[personal profile] timelets
Wittgenstein in Tractatus:
2.15
...
This connexion of the elements of the picture is called its structure, and the possibility of this structure is called the form of representation of the picture [model].


Similarly, in order to be represented by a Monoid, its elements should be monoidable. In other words, they should enable the possibility of the Monoid structure, including a free Monoid.
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timelets

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