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.

3020. 'Who administered all that he had' means the functions of the natural man. This is clear from the meaning of 'administering', and in particular of 'administering all things', as performing functions or duties. The relationship of the natural man to the rational, or what amounts to the same, of the external man to the internal, is like that of one who administers in a house, see 1795. All things in man are like one house, that is, one family, for there is one who has the duty to be head of the family, and others who have the duty of servants. The rational mind itself is the one that organizes everything, like the head of the family, and by influx brings order into the natural mind. The natural mind however is one that serves and administers. And because the natural mind is distinct and separate from the rational mind, existing on a level below the latter, and also in a sense acts independently, it is called in relationship to the rational 'the servant, the oldest of the house' and 'the one who administered all that he had there'.

[2] The fact that the natural mind is distinct and separate from the rational, existing on a level below it, and in a sense acting independently, becomes clear from the things it has within it, and from the functions it performs. The things it has within it are all facts, and so also all cognitions of every kind - in short, every single thing belonging to the exterior or physical memory, dealt with in 2471, 2480. To this memory also belongs the whole faculty of imagination, which constitutes man's interior sensory awareness and is particularly active with children and during the early stages of adolescence. To the exterior memory belong in addition all the natural affections which man has in common with animals. From this it is evident what the functions of the natural mind are.

[3] The rational mind however is interior. The items of knowledge it has within it, that is to say, every single thing belonging to the interior memory, are not evident to man, but are imperceptible during his lifetime, dealt with in 2470-2474, 2489, 2490. It also has within it the power of thought, which is a perceptivity of what is fair and righteous, as well as of what is true and good. In addition it has all the spiritual affections which are strictly human and which mark man off from animals. From these things within itself the rational mind flows into the natural mind and activates the things that are there, views them with a certain vision, and in this way forms judgements and conclusions. The fact that these two minds are distinct and separate is quite evident from this consideration: With many people the natural mind has dominion over the rational mind, or what amounts to the same, the external man has dominion over the internal; yet it does not have dominion and is subservient only with those in whom the good of charity is present, that is, who allow themselves to be led by the Lord.