When you think of strength your thoughts might turn to big muscular individuals such as body builders. Building bulk is not a true sign of strength. Strength training can be done without adding any size. Take a look at the size of a martial artist or gymnast. They are not huge muscle wise but perform activities that require a great deal of strength.
If building muscle to be bulk is your ultimate goal, then by all means, go for it. Just remember that strength training doesn't really have much to do with size.
