Related Works: Part II: C. T. Chong, Yue Yang. $\Sigma_2$ Induction and Infinite Injury Priority Argument, Part II: Tame $\Sigma_2$ Coding and the Jump Operator. Ann. Pure Appl. Logic, vol. 87, no. 2, 103--116. Mathematical Reviews : MR1490049 Part III: C. T. Chong, Lei Qian, Theodore A. Slaman, Yue Yang. $\Sigma_2$ Induction and Infinite Injury Priority Argument, Part III: Prompt Sets, Minimal Paries and Shoenfield's Conjecture. Mathematical Reviews : MR1818378.

The kleptocratic supremacy of the praetorian prefect C. Fulvius Plautianus was felt throughout the city of Rome, the Empire and even beyond the imperial frontiers. Indeed, for the senatorial historian Dio Cassius, there was no more picturesque demonstration of Plautianus' acquisitiveness than his seizure of strange striped horse-like creatures from ‘islands in the Erythraean Sea’. The passage, as preserved in the text of Xiphilinus' Epitome, reads as follows : καὶ τέλος ἵππους Ἡλίῳ τιγροειδεῖς ἐκ τῶν ἐν τῇ Ἐρυθρᾷ θαλάσσῃ νήσων, (...) πέμψας ἑκατοντάρχους, ἐξέκλεψεν·In the end he even stole tiger-like horses to Helios from the islands in the Erythraean Sea, having sent some centurions to carry out the task. (shrink)

Starting from the importance of the figure of the parrhesiastes—the political and therapeutic truth-teller—for Foucault’s understanding of the care of the self, this paper traces the political figuration of the analogy between philosophers and physicians on the one hand, and rhetors and disease on the other in Plato’s Gorgias. I show how rhetoric, in the form of ventriloquism, infects the text itself, and then ask how we account for the effect of the “contaminated” philosophical dialogue on our readerly health. Is (...) the text placebo, vaccine, or virus? All of these options, I argue, complicate Foucault’s prescription for parrhesia, requiring us to think anew the continuing political ramifications of the metaphor of care. (shrink)

– The paper explores first the postulational basis and significance of‘measures of information’in current information theory and their possible relations to physical entropy and Brillouin's‘negentropy’regarded as the negative of entropy. For some purposes, the same pattern or formal structure may be abstracted from both‘entropy’and‘information’. The paper analyzes, in the second place, the mathematical analogies which have been traced between information theory and quantum mechanics and argues that the analogies have but a limited value when we come to grips with the (...) deeper, and yet unsolved, problems of quantum theory. Lastly it is urged that the indiscriminate extensions of statistical and information‐theoretic methods, and of quantum‐mechanical analogies, e.g.‘linguistic duality’, to psycholinguistics, literary and aesthetic Gestalten, can result only in crude exaggerations. Dialectical methodology requires the continual reformulation of all scientific descriptions which have to reckon perpetually with the richness of human materials. (shrink)

At some point before the late fifth centurya.d.an unidentified writer compiled and affixed to each book of Dio'sRoman Historyan index, most notably comprising a table of contents and an excerpt of the consularfasti. Of dubious provenance these paratexts have played a peripheral role in the editorial history of the work. Bekker and Dindorf, with somewhat puritanical zeal, removed them from the main text of their editions of theRoman Historyin the belief that they were not by Dio's hand. Conversely, the stereotyped (...) edition of Dio's history produced under the auspices of Karl Tauchnitz at Leipzig in 1818 provided Latin translations of the indices, but omitted the Greek. Dio's more recent editors have restored them to their editions of theRoman History, despite questions over their origins. (shrink)

A coordinate-free formulation is established for (semi) classical particle-field interactions. The exterior language of spacetime chains and De-Rham currents enables the description to include extended strings and membranes besides point particles. Treating physical fields in terms of sections of particular bundles, a unified account of interactions is presented in terms of an intrinsic action principle on a bundle of jets over spacetime. The theory is illustrated by considering the specific model of point particles with intrinsic spin covariantly coupled to theU(1) (...) andSL(2, C) connections describing the electromagnetic and gravitational fields, respectively. The notion of dual spin is examined in this context and coupled equations for this particle-field system are explicitly derived in a local chart. Attention is drawn to the global implications of the theory. (shrink)