The story notably focused on Dr Who as being a human mathematician above all else, a genius whose titular equations about spacetime were what allowed him to construct the TARDIS. These positions on the Doctor's species and the Doctor's early life, as well as on the origins of his Ship, would later come to be contradicted by mainstream continuity after the TV story The War Games introduced the idea of the Doctor as a renegade Time Lord who, while he was something of a specialist in the building of TARDISes back home, had actually stolen the TARDIS with which he had run away from his original time and place.
Alone in all of humanity, Dr Who understands the correct equations of Space and Time which lock the two together into one Idea, the Idea of the Living Matter. He sets out to build the TARDIS in the knowledge that his travels must be in Time as well as Space, and constructs all of the intricate electronic elements of his vessel on that basis: his "materialisations" draw distances and ages together in one simplifying pattern.
Aboard the TARDIS, the Doctor is able to see for himself all of the dimensions and multi-dimensions which his colleagues on Earth can only speculate about, dimensions all existing together in one place with all the infinite others. He is thus able to make the concept of size irrelevant to the interior of his ship.
- When it dematerialises, the TARDIS becomes resolved into "a looser pattern" of atoms and electrons than is "familiar" in matter on Earth.
- Even the fastest possible Earth-built conventional space-ship, still bound by the laws of matter, which could travel at the velocity of light (186,000 miles per second), would take four and a half year to cross the distance between Earth and the nearest star to its Sun.
- It is said that a legion of angels can dance on the head of a pin.
- Curiously, this story's holding definitively that the Doctor's species is Homo Sapiens (to the point of praising him as an example of "wonderful human courage") stands in contrast to another story within the same book, the character piece Who is Dr Who?, which points out that although the Doctor looks and acts more or less like a human he can only be said to probably come from a planet somewhere in Earth's galaxy.