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.

2798. That 'Abraham took the pieces of wood for the burnt offering' means the merit of righteousness is clear from what has been stated and shown above in 2784, and so without further explanation.

[2798a] 'And laid them on Isaac [his son]' means that it, that is to say, the merit of righteousness, was joined to the Divine Rational. This becomes clear from the representation of 'Isaac' as the Lord's Divine Rational, often dealt with already, and from the meaning of 'laying it on him' as allying it. The expression 'his son' is used because the Lord's Divine Human was not only conceived but was also born from Jehovah. The Lord's conception from Jehovah is very well known from the Word of the Lord, and therefore He is called 'Son of the Most High', 'Son of God', and 'Only Begotten of the Father' in Matthew 2:15; 3, 16, 17; 16:13-17; 17:5; 27:43, 54; Mark 1:11; 9:7, 9; 14:61-62; Luke 1:31-32, 35; 3:21-22; 9:35; 10:22; John 1:14, 18, 49; 3:13, 16-18; 5:20-27; 6:69; 9:34-35, 38; 10:35-36; 20:30-31, and besides these in very many other places where He calls Jehovah His Father.

[2] It is also well known that He was born of a virgin Mary, yet even so like any other. But when He was born again, that is, became Divine, this was from Jehovah who dwelt within Him and who was Himself as to the very Being (Esse) of life. The union of the Divine Essence and the Human Essence was effected mutually and reciprocally, so that He united the Divine Essence to the Human Essence, and the Human Essence to the Divine Essence, see 1921, 1999, 2004, 2005, 2018, 2025, 2083, 2508, 2523, 2618, 2628, 2632, 2728, 2729. From this it may become clear that the Lord made the Human within Himself Divine from His own power and in so doing became Righteousness. That which was allied to the Divine Rational when He underwent inmost temptation was the merit of righteousness; and it was from the Divine Rational that He fought, and it was against it that evil genii fought, until He glorified that Divine Rational also. These are the things meant in the internal sense by Abraham's laying the pieces of wood for the burnt offering on Isaac his son, and they are the things which angels perceive when these words are being read.