What does Turing offer?

The Turing Machine offers us an algorithmic realization which begins, like all algorithms, from a mathematic abstraction. In reference to Leibniz, it seems to offer a form of universal verification. By creating a mediating space between our realities and the variegated discourse which occurs as a result of them (in attempts to explore, understand or quantify) these two disparate parts can now communicate. Geometry and topology, while both speak in terms of nature/mind relationships, they do so by memes and can only really exist in abstraction. The Turing Machine allows, via its state in between Nature/Mind or Abstraction/Reality, not only for these 2 sides to interact, and therefore a universal verification (e.g. quantum computing); it also allows for the creation of a 3rd plane: that of the connection itself, which in fact becomes the realization of Eisenman's event, the embodiment of Lynn's vicissitude. In philosophical terms, the universal verification this allows for comes at a cost; the opposed fields of Nature/Mind no long work in reference to a Metaphysic (although no one told Wolfram) , they now reflect the Pragmatism of James or Dewey in the sense that their new ability to communicate has allowed for an emancipation to grow as a patchwork autonomously, incrementally, but not necessarily in reference to one another.