The recursion-theoretic study of mathematical structures other thanωis now a field of much activity. Analysis and algebra are two such structures which have been studied for their effective contents. Studies in analysis began with the work of Specker on nonconstructive proofs in analysis [16] and in Lacombe's inspiring notes on relevant notions of recursive analysis [8]. Studies in algebra originated in the work of Frolich and Shepherdson on effective extensions of explicit fields [1] and in Rabin's study of computable fields (...) [15]. Equipped with the richness of modern techniques in recursion theory, Metakides and Nerode [11]–[13] began investigating the effective content of vector spaces and fields; these studies have been extended by Kalantari, Remmel, Retzlaff, Shore and others.Kalantari and Retzlaff [5] began a foundational inquiry into effectiveness in topological spaces. They consider a topological spaceXwith a countable basis ⊿ for the topology. The space isfully effective, that is, the basis elements are coded intoωand the operation of intersection of basis elements and the relation of inclusion among them are both computable. Similar to, the lattice of recursively enumerable subsets ofω, the collection of r.e. open subsets ofXforms a latticeℒunder the usual operations of union and intersection. (shrink)

We discuss the concept of spontaneous breaking of gauge symmetry in super-conductors and superfluids and, in particular, the circumstances under which the absolute phase of a superfluid can be physically meaningful and experimentally relevant. We argue that the study of this question pushes us toward the frontiers of what we understand about the quantum measurement process, and underline the need for a new theoretical framework that keeps pace with modern technological capabilities.

According to a commonly held view, the properties of condensed-matter systems are simply consequences of the properties of their atomic-level components, and all of theoretical research in condensed-matter physics consists essentially in deducing the former from the latter. I argue that this apparently plausible picture is totally misleading, and that condensed-matter physics is a discipline which is not only autonomous, but guaranteed in the long run to be fundamental.

Ernesto Laclau and Chantal Mouffe’s post-Marxist analysis pushed Gramsci’s anti-determinism to its limits, embracing a post-structuralist, discourse-centred politics. Mouffe’s subsequent programme for radical democracy has sought a renewed democratic left project. While radical democracy’s post-structuralism enables important insights into political subjectivity and antagonism in contemporary democracies, it also weakens its own critical and strategic capacity. By recuperating its Gramscian heritage, radical democracy could be more theoretically and politically effective. In contrast to discourses operating in an entirely open and contingent political (...) field, Gramscian theory offers a more realist – but non-determinist – account of the structural, enabling and constraining properties of ideologies. It also allows for a distinctive institutional space for society. Society is the site upon which political identities are articulated, and from which existing power relations are challenged. But a conception of society also points to the institutional limits to politics, notable by their absence in post-structuralism and radical democracy. (shrink)

I examine the question of how far experiments that look for the effects of superposition of macroscopically distinct states are relevant to the classic measurement paradox of quantum mechanics. Existing experiments on superconducting devices confirm the predictions of the quantum formalism extrapolated to the macroscopic level, and to that extent provide strong circumstantial evidence for its validity at this level, but do not directly test the principle of superposition of macrostates. A more ambitious experiment, not obviously infeasible with current technology, (...) could provide a direct test between quantum mechanics and a whole class of theories embodying the postulate of realism at the macroscopic level. (shrink)

I consider various experiments related to the so-called “macroscopic quantum coherence” experiment, which are probably at present in the class of “thought” experiment but are likely to become realistic in the next few decades. I explore the way in which outcomes consistent with the predictions of quantum mechanics would be interpreted by an adherent of, respectively, the Copenhagen, statistical, and Bohmian interpretations of the formalism.

I discuss the question: Is it possible to prepare, by purely thermodynamic means, an ensemble described by a quantum state having a definite phase relation between two component states which have never been in direct contact? Resolution of this question requires us to take explicit account of the nature of the correlations between the system and its thermal environment.

Chapter 1 Preface Chapter 2 Introduction Chapter 3 The Size of The Slice Chapter 4 The Imperial Legacy: Racism and Omission of Triumph Chapter 5 Organizing The Unorganized: Combatting The Grower and The Labor Contractor Chapter 6 Taking It On The Chin and Fighting Back: Defensive and Offensive Strikes Chapter 7 Conclusions: Tactics Out of The Past For the Future Chapter 8 Appendix A: Mining The Fields: The Tindals and Migratory Farm Labor Chapter 9 Footnotes Chapter 10 Photograph Credits Chapter (...) 11 Author Index. (shrink)

Some aspects of the concepts of counterfactuality and probability are explored as they apply to the specific example of the famous “EPR-Bell” experiments realized by physicists over the last half-century. In particular the question is raised: what hypotheses about actually conducted experiments do the results exclude? It is argued that the answer depends on both whether these hypotheses are deterministic or stochastic, and on the “cardinality” of the experiment relative to the theory.

Provides general readers with a clear, nuanced introduction to Budo--the "inner way" of the martial arts.

It is argued that among possible nonlocal hidden-variable theories a particular class (called here “crypto-nonlocal” or CN) is relatively plausible on physical grounds. CN theories have the property that (for example) the two photons emitted in an atomic cascade process are indistinguishable in their individual statistical properties from photons emitted singly, and that in the latter case the effects of nonlocality are unobservable. It is demonstrated that all CN theories are constrained by inequalities which are violated by the quantum-mechanical predictions; (...) these inequalities bear no simple relation to Bell's inequalities, and an explicit example is constructed of a CN theory which violates the latter. It is also shown that while existing experiments cannot rule out general CN theories, they do rule out (subject to a few caveats such as the usual ones concerning the well-known “loopholes”) the subclass in which the photon polarizations are linear. (shrink)

Is evolutionary ethics going to be to the new millennium what virtue ethics has been to the eighties and early nineties? If the rash of books on the subject is anything to go by, the answer has to be “yes”. This is not, however, to claim that the subject is novel. Although many point to Edward Wilson's work in the seventies as heralding the dawn of a new focus in ethics, the claim that ethics can be grounded in our biological (...) nature was fully explored by Aristotle and, as contributors to this collection attest, by many other philosophers and biologists in the intervening period. Despite the back-cover promise that “the book asks, for example, whether humans are innately selfish and whether there are particular facets of human nature that bear directly on social practices” …. (shrink)