Is there a shorter way to do this?

See my earlier message. dissoc and assoc will do what you want.

(def brother {:name "Gary" :address "..." :mother "Mary" :father "John"})
(def sister (assoc brother :name "Cindy"))

user=> sister
{:name "Cindy", :address "...", :mother "Mary", :father "John"}


While I'm on the subject, what is the difference between a structure
and a hash?  Are there performance implications?  Why wouldn't I just
use a hash if structs can hold new values anyway?  When should I use
one over the other?

A struct-map is strictly a performance optimization, with one additional constraint (that the required keys cannot be removed from the struct: if you try, you'll get an error).

In every other respect it behaves just like any other map.

There are only two reasons to use struct-maps: if you've profiled and need the tiny performance improvement (struct-maps store their required keys in an internal array, which is sometimes faster); or if you feel that struct-maps offer some documentation advantage for your code.

struct-maps are not Clojure's equivalent of objects. Use maps unless you have a clear reason to do otherwise.

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