Temporal toposTemporal topos, t-topos S^ theory consists of the following: (i) ur-presheaves (contravariant ur-functors) {q}q ∈ Ob(S^) and the morphismsMorphism (natural transformationsNatural transformation, i.e., morphisms of ur-functors) between ur-presheaves, (ii) an initial objectInitial object α and a terminal objectTerminal object ω of S^. For each q ∈ Ob(S^), there exist two uniquely determined morphisms δq from α to q, and σq from q to ω, respectively. Within this framework, we will demonstrate how an initial objectObject α, as a source of perception, plays a role in the cognitiveCognitive aspects of the conscious entity. A conscious entity, represented by anUr-presheaf, ur-presheaves ur-presheaf, simultaneously satisfies the physical constraints treated in Chap. 3 . The triangle of PenrosePenrose, Roger, Sir connecting the platonic mathematical world, the mental world, and the physical world is the first topic of this chapter.