Hiller aims to deepen the understanding of architectural knowledge by focusing on internal structures and entities and relationships within structures, and to eliminate unproductive or potentially alienating relationships between the dweller of the structure and the building, based on human psychology. Hiller states that there is a need for more scientific research about mathematics and human psychology within architecture. Architecture must cease to be as enclosed a discipline as it has become, and one can use such knowledge in architectural practice. Hiller points out that an architect must have an idea of what the building's potential dweller or occupier will 'know' about a space when he or she enters the structure. Often the knowledge of the space comes through the different, sucessive visibility fields he or she encoungers when navigating the interior space.

Hillier suggsests that although architects may view structures based upon mathmatical design, according to Euclidean...

For example, even an architect or a mathmatician, when entering a buidling for the first time and making basic observations, the individual will usually in his or her 'space syntax' notice a more global view of the spatial elements, and view the structure in a more cohesive way than a designer might when planning the space. People notice aspects such as repeating structures to remember where they are when wandering a building, for example, rather than for beauty of design. Show respect and a more expansive view of the spatial elements in order to explore the full limits of visibility, suggests Hillier, so ordinary people can appreciate architecture more and relate to their lived-in structures in a better fashion, given the cognitive understanding of the space in the eyes the human species. Understand the so-called primitive brain rather than the purely mathmatical brain, states Hillier.