Philosophy of mathematics for computational design: spatial Intuition versus logic

In this text, Jane Burry explains a specific contemporary application of computation to design - one in which the foci of design stems from serial definitions of dynamic spatial constructs. Burry proposes that the conception of such a design space lays critical bearing on the understanding of geometry and the mathematical means by which it is presented. While it is geometry which provides a particular depiction, it is the mathematical relationships which define the 'state space' - the range of morphological potentials. As Burry delineates, it is in the history by which the theoretical relations of space, geometry and mat hematics have evolved that one can find the means where computational spatial design can be established. This also unfolds a surprisingly synchronous relationship between the mathematician's pursuit of a solution and the designer's computational deduction of a specific spatial construct. Seemingly defined by precision, it is more appropriately in the progression from abstraction and initial supposition to proven functionality where computational design can be seen as acting in the mathematician's nature. Burry utilises this intersection to succinctly interject the notion of intuition as both a fundamental and critically involved aspect of the mentality and practice of computational design