Do we remember what pain feels like? Investigations into this question have sometimes led to ambiguous or apparently contradictory results. Building on research on pain memory by Rohini Terry and colleagues, I argue that this lack of agreement may be due in part to the difficulty researchers face when trying to convey to their study's participants the type of memory they are being tasked with recalling. To address this difficulty, I introduce the concept of 'qualitative memory', which, arguably, is the (...) sort of memory we have of what red looks like yet lack with respect to pain. I also briefly address a number of consequences the acknowledgment of qualitative memory would potentially have for philosophy, arguing that if we fail to have qualitative memories of certain sensations, such as pain, the standard philosophical accounts of experience, rational choice, and the sources of moral action may all need revision. (shrink)

The problem of finding irreducible representations of a simple Lie group that decompose into just pure replications of a representation of a subgroup is considered. Replications involving tensor representations of the orthogonal groups are studied in detail using counting groups whose representation dimensions correspond to branching multiplicities. Replications involving spinor and mixed tensor representations are briefly considered.

An implication is a proposition, a consequence is a relation between propositions, and an inference is act of passage from certain premise-judgements to another conclusion-judgement: a proposition is true, a consequence holds, whereas an inference is valid. The paper examines interrelations, differences, refinements and linguistic renderings of these notions, as well as their history. The truth of propositions, respectively the holding of consequences, are treated constructively in terms of verification-objects. The validity of an inference is elucidated in terms of the (...) existence of a chain of immediately evident steps linking premises and conclusion. (shrink)

Susan Schneider argues that physicalism must be false if abstracta are part of the physicalist's dependence base. In opposition to her view, here I set out some reasons to think that abstracta in general, including abstracta that are woven into the dependence base, are something physicalists can countenance with consistency.

This chapter contains sections titled: I II III IV V VI VII VIII IX X.

The genesis of classical science was accompanied by a transition from logical to mathematical analysis. This change did not mean a rejection of Aristotle's canons of logic; it was simply that these canons became inadequate. They underwent a certain generalization and, in the course of this, came closely to approximate mathematical analysis, the foundations of the calculus of the infinitesimal. Classical science no longer took as its point of departure the notion of motion from "something" into "something," as did Peripatetic (...) physics and cosmology . The initial concept is motion, considered from point to point and instant to instant. This kind of differential notion of motion was clearly expressed by Kepler when he wrote: "Where Aristotle sees direct oppositeness between two things, with no mediating links, there I, looking at geometry philosophically, find a mediated opposition; so that where Aristotle employs a single term, ‘other,’ I use two: ‘larger’ and ‘smaller.’". (shrink)

A vast literature has been devoted to the Dialectics of Nature and dialectics in Capital. There is a considerable number of works in which the connection between the philosophical generalization of natural science in the Dialectics of Nature and the philosophical aspects of the economic categories in Capital are analyzed. I should like to touch upon only one aspect of the problem — that aspect which pertains to certain new problems in philosophical and economic thought. Reference is, first, to the (...) new, unprecedented role of philosophy and natural science in the period of the scientific and technological revolution under the conditions of the unification and planning of science and, second, to the unprecedented dynamism of the economy today. This dynamism requires a radical rethinking of categories, and that rethinking, in turn, requires a return to the fundamental categories of Capital. (shrink)

A vast literature has been devoted to the Dialectics of Nature and dialectics in Capital. There is a considerable number of works in which the connection between the philosophical generalization of natural science in the Dialectics of Nature and the philosophical aspects of the economic categories in Capital are analyzed. I should like to touch upon only one aspect of the problem — that aspect which pertains to certain new problems in philosophical and economic thought. Reference is, first, to the (...) new, unprecedented role of philosophy and natural science in the period of the scientific and technological revolution under the conditions of the unification and planning of science and, second, to the unprecedented dynamism of the economy today. This dynamism requires a radical rethinking of categories, and that rethinking, in turn, requires a return to the fundamental categories of Capital. (shrink)

This article argues that in Pindar's epinicians first-person statements may occasionally be made in the persona of the chorus and the athletic victor. The speaking persona behind Pindar's first-person statements varies quite widely: from generic, rhetorical poses—a laudator, an aoidos in the rhapsodic tradition (the “bardic first person”), an Everyman (the “first person indefinite”)—to strongly individualized figures: the Theban poet Pindar, the chorus, the victor. The arguable changes in the speaker's persona are not explicitly signalled in the text. This can (...) lead to significant ambiguities concerning the identity of the speaker (“blurred quotation,” “indeterminate speech boundaries”). The lack of a concern always to distinguish clearly the primary from the secondary narrators relates to a desire to confuse diegetic and mimetic forms; the practice of the fifth-century choral lyric poets in this regard is compared to that of other ancient Greek writers. The main challenge is to indicate how it is possible, in theory and in practice, for the athletic victor to be identified as the speaker when this is not explicitly signalled in the text; and, if this is possible, to suggest how it is possible for an audience to recognize when the speaking persona subsequently reverts to laudator or poet. An attempt is made to consider whether any formal, structural, or thematic tendencies can be observed in those passages in choral lyric where the chorus or the victor are tacitly introduced as speaking personae: such effects, it is argued, occur especially when links of ritual or genealogy enable the ode to “zoom” from the mythical past to the present occasion of the performance. The main passages discussed in the article are Pind. P.8.56–60, P.9.89–92, N.7.85, Pae. 2.73–79, and Bacch. 3.84–85. But the phenomena discussed are related broadly to other phenomena in Greek literature, in Latin poetry, and, especially, in Cicero's forensic oratory. (shrink)

Recent observations of ultra high energy cosmic rays and gamma rays suggest that there are small violations of Lorentz symmetry. If there were no such violations, then the GZK cut off would hold and cosmic rays with energy ∼1020 eV or higher would not be reaching the earth. However some such events seem to have been observed. This has lead to phenomenological models in which there is a small violation of the Lorentz symmetry or the velocity of light. However recent (...) approaches which no longer consider a differentiable spacetime manifold already predict such violations. Similarly there are other theoretical reasons which also point to this. We briefly discuss some of these approaches and observe that Lorentz Symmetry violations can be tested by data from NASA’s GLAST satellite due for launch. (shrink)

The original Feynman-Wheeler perfect absorber theory lead to the Instantaneous Action at a Distance formulation. We observe that this is perfectly meaningful in the light of recent studies pointing to a small but non-zero photon mass. The Quantum Mechanical effects within the Compton scale of such a small mass photon would lead to the above formulation.

The Special Theory of Relativity and the Theory of the Electron have had an interesting history together. Originally the electron was studied in a non-relativistic context and this opened up the interesting possibility that lead to the conclusion that the mass of the electron could be thought of entirely in electromagnetic terms without introducing inertial considerations. However the application of Special Relativity lead to several problems, both for an extended electron and the point electron. These inconsistencies have, contrary to popular (...) belief not been resolved satisfactorily to date, even within the context of Quantum Theory. Thus they are not merely of historical interest. Nevertheless these and subsequent studies bring out the interesting result that Special Relativity (and the theory of the electron) breaks down within the Compton scale or when the Compton scale is not neglected. This again runs contrary to an uncritical notion that Special Relativity is valid for point particles. Furthermore, it is pointed out that experiments have been recently suggested to test these ideas. These considerations lead to a characterization of the Planck constant in classical terms. (shrink)