A "house" is essentially a container -- for a person, a family, several families or even a large group with shared interests (think of the term "houses of worship.") In the Bible, a "house" is also a container, but for spiritual things rather than natural things. In various uses a "house" can represent part of the mind, the whole mind, a whole person or even a church. The other nuance to the word "house" is that it is generally used in regards to our affections and desires rather than our thoughts and principles. This makes sense; we tend to engage our thoughts and rationality when we are out in the world doing our work, but when we are inside our houses we are driven most by love for our families and the desire to be good to those we love. So "house" tends to represent the things we want and care about -- which are ultimately the things that define us.

1048. 'And the bow is seen in the cloud' means when man is still such as to be able to be regenerated. This is clear from the meaning of 'the bow in the cloud' which is a sign or token of regeneration, as stated already. Concerning the bow in the cloud there is more to be said: The character of a person, that is, of a soul, after the body has died is known in an instant. The Lord has known that character from eternity, and knows what it is going to be into eternity. A person's character is perceived by angels the moment he comes near; a certain sphere so to speak emanates from his whole disposition, that is, from every part of him. And this sphere, astonishing though it may seem, is such that from it one perceives what faith and what charity exist with him from whom it emanates. When it pleases the Lord it is that sphere which is made visible as a bow. This sphere will in the Lord's Divine mercy be described later on. From this it becomes clear what is meant here by 'the bow when it is seen in the cloud', namely when a person is such that he can be regenerated.