Pure World

The Pure World is a term used to refer to the world beyond all filters and Phases, a world of science unaffected by religion.

Principles
The world, which in this context refers to the universe or reality itself, as it is normally perceived is not pure and untouched - various layers known as Phases exist over it which act like filters, affecting how it appears. The various religions which have arisen throughout human history have had the effect of creating layers over the world.

Beyond these Phases is the Pure World, which is described as a world of science (科学世界, Kagaku Sekai), untouched and unaffected by religion.

Background
At some point in the past, Aleister Crowley began attempts to directly interfere with the Pure World.

Lance of Gungnir Arc
While explaining the concept of Phases to Kamijou Touma, Othinus mentions how the man known as the Silver Star has been attempting to interfere with the Pure World beyond the filters.