
The word Shalom is commonly understood around the world to mean Peace. Throughout Israel it is used as a greeting when people meet and as a farewell when they part. Peace, however is only a small part of the full meaning of the Hebrew word.
Strong's Concordance states that the word shalom encompasses a lot more: A word study in the New King James version for SHALOM says: Completeness, wholeness, health, peace, welfare, safety soundness, tranquility, prosperity, perfectness, fullness, rest, harmony, the absence of agitation or discord.
So when a Jewish person pronounces Shalom over another they are wishing all of these things upon that person. A blessing indeed!
In Matthew 5 21-26, Jesus is saying that when anyone's relationship with another is anything less than a relationship of Shalom then they must do something to restore the Shalom- the perfectness, completeness, wholeness, peace- to the relationship.