Читать книгу The Form Within - Karl H Pribram - Страница 70

Wherein I distinguish between objects and images and the brain systems that process the distinction.

Thus, by our movements we find it is the stationary form of the table in space, which is the cause of the changing image in our eyes. We explain the table as having existence independent of our observation because at any moment we like, simply by assuming the proper position with respect to it, we can observe it.

—Hermann von Helmholtz, Optics, 1909/1924

As Lie wrote to Poincaré in a letter in 1882: ‘Riemann and v. Helmholtz proceeded a step further [than Euclid] and assumed that space is a manifold or collection of numbers. This standpoint is very interesting; however, it is not to be considered definitive.’ Thus, Lie developed the means to analyze rigorously how points in space are transformed into one another through infinitesimal transformations—that is, continuous groups of transformations.

—Arthur I. Miller, Imagery in Scientific Thought, 1984