Suppose that fn is a sequence of nonnegative functions with compact support on a locally compact metric space, that T is a nonnegative linear functional, and that equation imageT fn < T f0. A result of Bishop, foundational to a constructive theory of functional analysis, asserts the existence of a point x such that equation imagefn < f0. This paper extends this result to arbitrary Hausdorff spaces, and gives short proofs using nonstandard analysis. While such arguments used are not themselves (...) constructive, they can illuminate where the difficulty lies in finding the point x. An algorithm for constructing x is then given, with a nonstandard proof that the algorithm converges to a correct value. (shrink)

Being-in-time to the music from the ground up is a work in phenomenology, where this term is broadly defined, comprehending Plato, Heidegger, Hegel, and Marx. The most direct referent is Hegel, together with the theoretical revolution that he initiated with Phenomenology of Mind. This text's more general purpose is to set the tone for a 21st communism based upon the idea of dancing with death, assuming full responsibility for one's mortality, and abandoning the self to love as the meaning of (...) existence. This dance is choreographed through my conversations with the above mentioned writers. In conversing with them I aim to displace (if not usurp) them from the throne of honour which is nothing more than the authority borrowed from me. By this I do not intend to deny completely their 'other to me' character. However, they exist or even 'figure' for me, both in the sense of of 'count, ' having importance, as those that I read, and by which I read myself. They have borrowed my authority, namely, my own potential to be an author. So 'reading them is to re-assume that borrowed authority. The life of the reader, to paraphrase Barthes, begins with the death of the author. (shrink)