ABSTRACT

The fate of the primal scene:

There may be an actual sensory experience. This would correspond to the lowest-level hypotheses of empirically verifiable fact.

The scene assumes the character of a hieroglyph or an ideogram.

The ideogram becomes (a) formularized, or (b) abstract. If abstracted, then it becomes a figure constructed out of the ‘elements’ (of Euclidean geometry).

An intermediate phase derived from another context—the invention of Cartesian co-ordinates.

The further abstraction of the scientific deductive system that is Euclidean geometry, to produce the algebraic calculus representing the scientific deductive system that is Euclidean geometry. Thus is established algebraic geometry.

Further calculi.