Important examples of $\Pi^0_1$ classes of functions $f \in {}^\omega\omega$ are the classes of sets (elements of ω 2) which separate a given pair of disjoint r.e. sets: ${\mathsf S}_2(A_0, A_1) := \{f \in{}^\omega2 : (\forall i < 2)(\forall x \in A_i)f(x) \neq i\}$ . A wider class consists of the classes of functions f ∈ ω k which in a generalized sense separate a k-tuple of r.e. sets (not necessarily pairwise disjoint) for each k ∈ ω: ${\mathsf S}_k(A_0,\ldots,A_k-1) := (...) \{f \in {}^\omega k : (\forall i < k) (\forall x \in A_i) f(x) \neq i\}$ . We study the structure of the Medvedev degrees of such classes and show that the set of degrees realized depends strongly on both k and the extent to which the r.e. sets intersect. Let ${\mathcal S}^m_k$ denote the Medvedev degrees of those ${\mathsf S}_k(A_0,\ldots,A_{k-1})$ such that no m + 1 sets among A 0,...,A k-1 have a nonempty intersection. It is shown that each ${\mathcal S}^m_k$ is an upper semi-lattice but not a lattice. The degree of the set of k-ary diagonally nonrecursive functions $\mathsf{DNR}_k$ is the greatest element of ${\mathcal S}^1_k$ . If 2 ≤ l < k, then 0 M is the only degree in ${\mathcal S}^1_l$ which is below a member of ${\mathcal S}^1_k$ . Each ${\mathcal S}^m_k$ is densely ordered and has the splitting property and the same holds for the lattice ${\mathcal L}^m_k$ it generates. The elements of ${\mathcal S}^m_k$ are exactly the joins of elements of ${\mathcal S}^1_i$ for $\lceil{k \over m}\rceil \leq i \leq k$. (shrink)

Kritische analyse van de westerse cultuurcrisis, de met elkaar samenhangende godsdienst en ethiek en het onderwijs in met name Nederland en Vlaanderen.

Ongevraagde ouverture, door F. O. van Gennep.--Ethiek als waagstuk, door F. van Raalten.--Het juridisch aspect van de rabbijnse ethiek, door M. A. Beek.--Is er een eigen christelijke ethiek? Door H. J. Heering.--Het radicalisme in de ethiek, door F. O van Gennep.--Ethiek en praktijk van de geweldloosheid van Dr. Martin Luther King, door J. W. Schulte Nordholt.--Politiek pastoraat, door K. Strijd.--Mythe en ethiek, door F. van Raalten.--Veritas poetica, door C. W. Mönnich.--Ethiek in de counseling, door H. R. Wijngaarden.--Bibliografische gegevens uit het (...) werk van Prof. Dr. E. L. Smelik (p. 141-142). (shrink)

Alongside concerns for animal welfare, concerns for land, water, and climate are undermining established food identities in many parts of the world. In Aotearoa New Zealand, agrifood relations are bound tightly into national identities and the materialities of export dependence on dairying and agriculture more widely. Dairy/ing identities have been central to national development projects and the politics that underpin them for much of New Zealand’s history. They are central to an intransigent agrifood political ontology. For the last decade, however, (...) they have been challenged by the identity politics of ethical food consumption. This paper explores the ensuing contests and asks how they are reshaping agrifood identities. We draw on interviews with 15 participants in Aotearoa New Zealand who have made dietary transitions that reduce or exclude dairy products. Our aim is not to identify a new post-dairying identity or claim a reconfigured national identity, but to examine the collision of production-consumption values in the context of a dominant place-based food identity. We ask how participants navigate contradictory commitments to becoming ‘good environmental citizens’ whilst remaining ‘good national citizens’. The paper offers insights for examining similar struggles elsewhere and the potential to shift agrifood relations and undermine entrenched political ontologies through ethical food consumption values. (shrink)