Tuesday, March 22, 2011

Succesivess, Simultaneity, Dimensionality

Insofar as modern Physics conjoins Time with Space as a fourth dimension, it accepts the classical characterization of Time as one-dimensional. Hence, it presumably also accepts Kant's analysis of that one-dimensionality as Successiveness. However, in contrast with the definitiveness of that analysis is the vacillation of his attempts to explain Simultaneity--sometimes as a mode of Successiveness, sometimes as an intellectual construct, and even sometimes as a property of what he calls 'Space'. A familiar example demonstrates the inadequacy of each of these explanations. A chord played on a piano entails three sounds occurring at the same time, so a sequence of chords presents a Succession of Simultaneities, thereby showing how Successiveness and Simultaneity are both immediately intuited features of Time, and, yet, irreducible to one another. In other words, the example demonstrates the two-dimensionality of Time, to which the Linear model is plainly inadequate. In contrast, concepts of Time as a convergence, variously offered by Bergson, Husserl, and Whitehead, among others, accommodate its two-dimensionality. For example, in Bergson's 'cone of Time', Successiveness is represented by motion along the axis from base to apex, and Simultaneity is represented by any points on any line orthogonal to the axis. So, models such as this seem to refute both the one-dimensional concept of Time and the four-dimensional concept of Space-Time. It can be noted that the distinction between Absolute and Relative Time is irrelevant to the structural distinction between Successiveness and Simultaneity, which obtains in either notion of Time.

No comments:

Post a Comment