If a creature has one or more permanent +1/+1 counters are those counters considered "enchantments"?
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No. They are not objects on the battlefield, and they don't have the enchantment card type.
An enchantment is a permanent with the card type "enchantment".
A counter fails to match the definition of an enchantment for two reasons.
No. Unlike tokens, counters aren't permanents in their own right. They're just... counters.
Here's a relevant bit of the comp rules: