Hegel's Implicit View on How to Solve the Problem of Poverty

Against those who argue that Hegel despaired of providing a solution to the problem of poverty, I argue, on the basis of key dialectical transitions in Hegel's Philosophy of Right, that he held at least the following: (1) that the chronic poverty endemic to industrial capitalism can be overcome only through changes that must include a transformation in practices of consumption, (2) that this transformation must lead to more *sittlich* and self-conscious practices of consumption, and (3) that the institution best-suited to enable the development of these more *sittlich* and self-conscious practices of consumption is the *Korporation*

Systematics of the North American menhadens: molecular evolutionary reconstructions in the genus Brevoortia (Clupeiformes: Clupeidae)

Evolutionary associations among the four North American species of menhadens (Brevoortia spp.) have not been thoroughly investigated. In the present study, classifications separating the four species into small-scaled and large-scaled groups were evaluated by using DNA data, and genetic associations within these groups were explored. Specifically, data from the nuclear genome (microsatellites) and the mitochondrial genome (mtDNA sequences) were used to elicit patterns of recent and historical evolutionary associations. Nuclear DNA data indicated limited contemporary gene flow among the species, and also indicated higher relatedness within the small-scaled and large-scaled menhadens than between these groups. Mitochondrial DNA sequences of the large-scaled menhadens indicated the presence of two ancestral lineages, one of which contained members of both species. This result may indicate genetic diver-gence (reproductive isolation) followed by secondary contact (hybridization) between these species. In contrast, a single ancestral lineage indicated incomplete genetic divergence between the small-scaled menhaden. These results are discussed in the context of the biology and demographics of each species

The space microwave interferometer and the search for cosmic background gravitational wave radiation

Present and planned investigations which use interplanetary spacecraft for gravitational wave searches are severely limited in their detection capability. This limitation has to do both with the Earth-based tracking procedures used and with the configuration of the experiments themselves. It is suggested that a much improved experiment can now be made using a multiarm interferometer designed with current operating elements. An important source of gravitational wave radiation, the cosmic background, may well be within reach of detection with these procedures. It is proposed to make a number of experimental steps that can now be carried out using TDRSS spacecraft and would conclude in the establishment of an operating multiarm microwave interferometer. This interferometer is projected to have a sensitivity to cosmic background gravitational wave radiation with an energy of less than 10(exp -4) cosmic closure density and to periodic waves generating spatial strain approaching 10(exp -19) in the range 0.1 to 0.001 Hz

The Kadison-Singer problem for the direct sum of matrix algebras

Let $M_n$ denote the algebra of complex $n\times n$ matrices and write $M$ for the direct sum of the $M_n$. So a typical element of $M$ has the form $$x = x_1\oplus x_2 \... \oplus x_n \oplus \...,$$ where $x_n \in M_n$ and $\|x\| = \sup_n\|x_n\|$. We set $D= \{\{x_n\} \in M: x_n$ is diagonal for all $N\}$. We conjecture (contra Kadison and Singer (1959)) that every pure state of $D$ extends uniquely to a pure state of $M$. This is known for the normal pure states of D, and we show that this is true for a (weak*) open, dense subset of all the singular pure states of $D$. We also show that (assuming the Continuum hypothesis) $M$ has pure states that are not multiplicative on any maximal abelian *-subalgebra of $M$

Properties which normal operators share with normal derivations and related operators

Let $S$ and $T$ be (bounded) scalar operators on a Banach space \scr X and let $C(T,S)$ be the map on \scr B(\scr X), the bounded linear operators on \scr X, defined by $C(T,S)(X)=TX-XS$ for $X$ in \scr B(\scr X). This paper was motivated by the question: to what extent does $C(T,S)$ behave like a normal operator on Hilbert space? It will be shown that $C(T,S)$ does share many of the special properties enjoyed by normal operators. For example, it is shown that the range of $C(T,S)$ meets its null space at a positive angle and that $C(T,S)$ is Hermitian if $T$ and $S$ are Hermitian. However, if \scr X is a Hilbert space then $C(T,S)$ is a spectral operator if and only if the spectrum of $T$ and the spectrum of $S$ are both finite