The Previous Rebbe alluded to the story of Moses at the burning bush in the maamer Basi Legani with an interpretation from the Midrash Shemos Rabba.
"You wish to know My name. I am called according to My deeds. When I judge the creations, I am called Elohim [‘Judge’]. When I wage war against the wicked, I am called Tzveo'ot [‘Lord of Hosts’]. When I suspend [punishment] of a man's sins, I am called El Shaddai (‘Almighty God’). When I am merciful towards My world, I am called Havaye, for Havaye only refers to the attribute of mercy, as it is says: 'The Lord, the Lord [Havaye, Havaye] merciful and gracious.'"
At the burning bush Moshe asked Hashem what His name is. R. Yitzhak said, that Hashem answered that the Jews should call him the name “I will be what I will be” [Eheyeh]. Tell them that I am who was, that I am now, and that I will be in the future.' For this reason, the name "Eheyeh" is written three times.
Hashem promised Moshe that He will always be with the Jewish people.
These names of Hashem are like the name of a person. On the one hand, a name is not essential. [If a person is alone on an island, he doesn’t need a name.] On the other hand, when a person is called by his name, it is not a particular attribute that is revealed but, the person himself turns in response.
This relationship is revealed by Hashem’s names in the Midrash. On one hand, the name used represents the outer level of Hashem as it is expressed in His deeds and actions. Nevertheless, it is Hashem Himself we call with these names. “I” [Hashem], am the “Cause of all Causes” behind all My actions.
