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.

2811. 'And Abraham built the altar there' means preparation of the Lord's Divine human. This is clear from the meaning of 'the altar' and of 'building the altar'. Altars used to mean all worship in general because they were the chief feature of the worship of the representative Church, 921. And because they meant all worship in general they meant the Lord's Divine Human, for the Lord's Divine Human is essentially present in all worship and all doctrine, so much so that it is the very essence of worship itself and doctrine itself. This becomes clear also from the Holy Supper which superseded altars, that is, burnt offerings and sacrifices, 2165, 2187, 2343, 2359. The Holy Supper is the chief feature of external worship because it is the Lord's Divine Human that is bestowed there. From all this it may become clear, and so without further explanation, that 'building an altar' means preparing the Divine human. The final preparation of the Lord's Divine human for undergoing the last degrees of temptation is the subject in the present verse and is described by the statement that Abraham laid the pieces of wood in order, bound Isaac his son, and laid him on the altar, upon the pieces of wood.