How did Alfred North Whitehead try to base geometry on human perception of space?

Alfred North Whitehead sought to ground geometry in the actual space experienced by humans, rather than deriving it from abstract, imperceptible entities like mathematical points. He viewed space as a complex of relations between extended things that are directly perceivable.1

To achieve this, Whitehead employed a logical construction:
* He identified perceivable elements and their relations within the natural world.
* From these foundations, he logically constructed entities that function exactly like the points found in traditional geometry.1

By framing geometry as the science of these relations, Whitehead aimed to align mathematical concepts with the general character of human perception. This approach was part of his broader effort to establish philosophical foundations for physics, ensuring that concepts of space, time, and motion remained rooted in the external world as it is experienced.1