From Space of Intersection to Space of Interaction

Abstract

The space of interaction is neither a place nor a condition for belonging. It finds a correlation with the space of intersection. The relationship with spatiality is a heterogeneous complex of experiences. A subject of study as broad and continuous as space is even its definition. From Plato's intuitive conception in the Timaeus as a comfortable being that occurs only if it contains objects, via Kant's concept of pure intuition, to a logical-mathematical meaning, space refers to formal and deductive disciplines with axioms and theorems. There is a possibility of "space common to all definable spaces", a capacity (or power) for interaction, which fuels curiosity to understand boundaries and how these "perimeters" connect and determine partial overlaps. An expansive context that grows from the real world towards other spaces is made up of space floating inside a multi-dimensional universe (not only geometric but also of meaning and progressively immersed functioning); it is never exterior or foreign. The space of physical geometry exists alongside the space of pure geometry. Proxemic and semiotic spaces are connected via perceptual space (of spatial experience). Social and economic spaces are close to political-cultural spaces. Moreover, magical and symbolic spaces – which may overlap with creative space – determine cognitive space. Metric space and workable space are contrasted with informal space. Every ambivalence has limits since everything becomes more intricate and intersecting when boundaries (or the seeming interactions that define them) become entwined. The interaction defines the space.