Borel had remarked that the only way to obtain the continuum using only sequences of rationals without imposing the existence of real numbers by means of axioms, was to adopt sequences of arbitrary choices of objects. As a constructivist he hesitated but did not completely reject the idea. Brouwer, with his Second Act of Intuitionism, accepted free choice sequences as legitimate mathematical objects. As we shall see, he found a way to use these infinite, undetermined objects constructively by viewing them as having two parts: a finite, already constructed part which permits genuine constructive use of the infinite sequence under some circumstances, and an infinite, undetermined part which makes it possible to obtain the whole continuum, escaping the restrictions imposed by any sort of definability.