Should I use "a noun" or "nouns" in this sentence?
We use any before nouns to refer to indefinite or unknown quantities or an unlimited entity.
We use any before a noun to refer to indefinite or unknown quantities or an unlimited entity.
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In English, sentences in present tense, indicative mood, with the subject quantified by an indefinite article, can often be understood as general truths.
A dog wags its tail.
is a statement that is true when there exists some dog that wags its tail. However, this same sentence is also interpreted as saying that
An arbitrary dog will wag its tail.
The indefinite article a, since it indicates that the noun dog is not identifiable to the listener, can be interpreted as an arbitrary.
The same happens when no article is used in front of a plural noun. The sentence
Dogs wag their tails.
is true when there is a group of more than one dog that at that moment wagged their tails. However, it is also interpreted as
All dogs wag their tails.
Actually, very likely people will find odd the first interpretation for such a short sentence, but using more specific predicates can make the first interpretation more feasible. For example,
Dogs wag their tails in front of me.
Your sentences are but the same use of a plural without article or a singular with an indefinite article in a present indicative, to express a fact understood to be general. They are mildly ambiguous in both cases due to the lack of proper quantification, even though most English speakers would find unlikely interpreting them as non-general statements about the use of the word any before all nouns.