Azamat,  
People observe the intension/extension distinction 
without learning the name for the distinction.
AA>It
 implies that operational meanings or definitions could be more
significant than an intension/extension or representation/reference or
connotation/denotation dichotomy.  
Languages
developed thousands (millions?) of years before writing, and writing was
used for a few thousand years before anybody started to write definitions
in any kind of language or logic.
For that matter, every infant
learns language from use, not from definitions.  But whatever meaning is
learned may begin as extensional (particular names for individual persons
or things) but children very quickly generalize them to kinds of
individuals.  The intensional meanings are generalizations learned from
patterns of usage.
Summary:  Intensional meanings are essential for
generality.  People use the intensional meanings in the same way that they
speak prose without knowing the word for what they do.
John

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