The Complexity of Orbits of Computably Enumerable Sets

The goal of this paper is to announce there is a single orbit of the c.e. sets with inclusion, \E, such that the question of membership in this orbit is $\Sigma^1_1$-complete. This result and proof have a number of nice corollaries: the Scott rank of \E is \wock +1; not all orbits are elementarily definable; there is no arithmetic description of all orbits of \E; for all finite $\alpha \geq 9$, there is a properly $\Delta^0_\alpha$ orbit (from the proof). A few small corrections made in this versionComment: To appear in the Bulletion of Symbolic Logi

Expanding the PAn consonant inventory

This paper provides evidence for three Proto Austronesian (PAn) phonemes that are preserved in several distinct languages and subgroups. These include distinctions between *p and *f, *l and *ɭ, and *k and *g. In addition, we assert that there is expanded evidence in Malayo-Polynesian for two currently recognized phonemes: *ʈ (PAn *C) and *c; evidence for the former has been restricted until now to the Formosan languages, and for the latter to a small group of languages in western Indonesia. These contrasts can be found in Nias (one of the Barrier Island languages off the northwest coast of Sumatra), Dohoi (a Northwest Barito subgroup of Borneo), the Western Central Malayo-Polynesian languages of Bimanese, Hawu, Dhao, Western Oceanic, and more sparsely in languages of North Sarawak, the Philippines, and Sumba. The findings presented in this paper highlight the importance of the above languages and subgroups for PAn reconstruction, and the new phonemes presented here are placed within the context of a wider PAn inventory which includes a total of seven places of articulation.Australian National Universit

Lattice nonembeddings and intervals of the recursively enumerable degrees

AbstractLet b and c be r.e. Turing degrees such that b>c. We show that there is an r.e. degree a such that b>a>c and all lattices containing a critical triple, including the lattice M5, cannot be embedded into the interval [c, a]

‘Super disabilities’ vs ‘Disabilities’?:Theorizing the role of ableism in (mis)representational mythology of disability in the marketplace

People with disabilities (PWD) constitute one of the largest minority groups with one in five people worldwide having a disability. While recognition and inclusion of this group in the marketplace has seen improvement, the effects of (mis)representation of PWD in shaping the discourse on fostering marketplace inclusion of socially marginalized consumers remain little understood. Although effects of misrepresentation (e.g., idealized, exoticized or selective representation) on inclusion/exclusion perceptions and cognitions has received attention in the context of ethnic/racial groups, the world of disability has been largely neglected. By extending the theory of ableism into the context of PWD representation and applying it to the analysis of the We’re the Superhumans advertisement developed for the Rio 2016 Paralympic Games, this paper examines the relationship between the (mis)representation and the inclusion/exclusion discourse. By uncovering that PWD misrepresentations can partially mask and/or redress the root causes of exclusion experienced by PWD in their lived realities, it contributes to the research agenda on the transformative role of consumption cultures perpetuating harmful, exclusionary social perceptions of marginalized groups versus contributing to advancement of their inclusion