A singularity condition is elaborated. It is discussed how perception can anchor or ground singular judgments. Without a link to perception, there would not be any knowledge of individual objects, since mere concepts cannot secure reference. This fact is also reflected in language. For ‘This F’ in a singular judgment ‘This F is G’ about the perceived scene cannot be divorced from an intuition of that scene. The use of demonstratives like “This” and “That” for direct reference are supplemented with non-conceptual content that comes from outer intuition, with in-built spatial orientation. By way of intuition and attention, there is mental demonstration of particulars, which may or may not be accompanied by overt demonstrations as well, like pointing gestures. Thus, the perceived scene is contained within a demonstrative space, as outlined by all possible embodied orientations of the perceiver in some fixed location or other. Intuition cuts in a perspectival manner from such a demonstrative space, and attention cuts even more finely.