Title: On the Glitch Phenomenon,
Abstract: The Principle of the Glitch states that for any device which makes a discrete
decision based upon a continuous range of possible inputs, there are inputs for
which it will take arbitrarily long to reach a decision. The appropriate
mathematical setting for studying this principle is described. This involves
defining the concept of continuity for mappings on sets of functions. It can
then be shown that the glitch principle follows from the continuous behavior of
the device.