An adequate conjunction-implication pair is given for complete orthomodular lattices. The resulting conjunction is noncommutative in nature. We use the well-known lattice of closed subspaces of a Hilbert space, to give physical meaning to the given lattice operation.

The article looks into the issues, outlined in M. Baker's The Atoms of Language: The Mind's Hidden Rules of Grammar. This work is notable for the parametric theory of the languages, set out in it, according to which languages are different, nevertheless retaining the ability to be compared. That can be further supported by the assertion that the differences among languages are determined by "a smallish number of discreet elements, called parameters."What is more, the diversity of language reveals a certain (...) regularity, very much resembling that of Mendeleev's periodic table of chemical elements. Our research team of professional linguists and philosophers put this claim to a critical analysis, the results of which are featured in this article. One of the major ones among them is the supposition that Baker, in accordance with the traditions of Chomsky generative linguistics, turns temporal continuums into special relations. He did that without discussing the consequences of such move, which made it impossible to develop the psychological and linguistic aspect of the subject raised by him. (shrink)

The notion of a natural numbers object in a monoidal category is defined and it is shown that the theory of primitive recursive functions can be developed. This is done by considering the category of cocommutative comonoids which is cartesian, and where the theory of natural numbers objects is well developed. A number of examples illustrate the usefulness of the concept.

This study examines a recurrent scenario in Roman poetry of the first-person genres: the separation of the poet from his writing tablets. Catullus' tablets are stolen ; Propertius' are lost ; Ovid's are consigned to disuse and decay by their disappointed owner. Martial, who does not reproduce the specific narrative of loss, nonetheless engages with the tradition of lost tablets from within the fiction of festive gift-exchange in his Apophoreta : rather than losing or rejecting the tablets, he gives them (...) away to guests/readers at his Saturnalian party. I argue that the representation of writing tablets and their loss is involved in the production of authorial presence. The scene of lost tablets demonstrates how the poet retains the capacity for poetic speech even when deprived of the aid of his material medium. The ostensibly accidental and sometimes lamented loss of the poet's tablets thus contributes to a sophisticated strategy of authorial self-representation. The tablets do not so much stand for the literary text as provide a focus for metapoetic concerns with voice and writing, author and text, presence and absence, immortal ingenium and expendable materia. Examination of the shifting representation of writing tablets from Catullus to Martial will provide insight into the invention of the Roman poetic author. (shrink)

This provocative, interdisciplinary, and transnational collection delves deeply into the educational and public intellectual hallmarks of Stuart M. Hall, a core figure in the development of the post-War British New Left, of Cultural Studies at the Centre for Contemporary Cultural Studies and later, of the Open University. It opens new vistas on both critical educational studies and cultural studies through interviews with, and essays by, leading writers, shedding light on the under-appreciated public pedagogical and cultural politics of the New Left, (...) of Thatcherism, and of Rightist, neo-colonial, diasporic, and neo-liberal formations in Jamaica, the UK, Australia, North America, and Brazil. Intimate and moving, the contributors describe Hall’s diasporic formation as a courageous ‘artist’ and educator of cultural politics and social movements, showing both the reach and the relevance of his public pedagogies in the construction of alternatives to essentialist racial politics and the despairing cynicism of neo-liberalism. With contributors and interviewees including Leslie G. Roman, Michael W. Apple, Avtar Brah, John Clarke, Annette Henry, Lawrence Grossberg, Luis Gandin, and Fazal Rizvi, _Hallmarks: The Cultural Politics and Public Pedagogies of Stuart Hall_ reveals that neither cultural politics nor public pedagogies are stable or self-evident constructs. Each legitimates and requires the other as part of a longer radical democratic project for social justice. This book was originally published as a special issue of _Discourse: Studies in the Cultural Politics of Education. _. (shrink)