Geometry is the foundation of Mathematical Physics. However, Geometry was wholly misconceived from the start.
The word ‘point’, which is the building block of Geometry, remains undefined to this day. The next two categories — line and plane — are also admittedly undefined.
The reason for this state of affairs is easy to figure out. The dot and the line are objects and belong to Geometry. The concepts these pictorials represent — location, distance, and displacement — are concepts that are divorced from Geometry.
Geometers have in effect attempted to blend irreconcilable notions: objects and concepts.