Barry Allen’s criticism of the traditional definition of knowledge seems to share a radical tone with Stephan Vogel’s con-cerns about the customary representation of the causes that lie be-hind our current environmental problems. Both philosophers voice their complaints about the Cartesian picture of the world and dismiss the core idea behind the notorious duality embedded in that picture. What they propose instead is a monistic perspective positing an ar-tifactual networking. In this paper, I will try to draw attention to certain weak aspects of Allen’s refreshing description of knowledge as “superlative artifactual performance” and offer a way to improve that characterization via Vogel’s notion “wildness”. More specifically, I will propose a solution to the problems pertaining to the distinction between good and bad artifacts with respect to the epistemic criteria proposed by Allen, and claim that the temporal gap standing in be-tween the expectations of a designer and the qualities of her design may contribute to our understanding of the nature of an artifact. I maintain that each creative attempt to know a given artifact is to be appreciated by recognizing its different uses. In doing so, I will also try to show why and how certain bad artifacts get their undesir-able status because of leading up to techno-cultural stagnation.
Using the techniques of approximation and factorization of convolution operators we study the problem of irregular sampling of band-limited functions on a locally compact Abelian group $G$. The results of this paper relate to earlier work by Feichtinger and Gröchenig in a similar way as Kluvánek’s work published in 1969 relates to the classical Shannon Sampling Theorem. Generally speaking we claim that reconstruction is possible as long as there is sufficient high sampling density. Moreover, the iterative reconstruction algorithms apply simultaneously to families of Banach spaces.
For a cardinal $\alpha $, we say that a subset $B$ of a space $X$ is $C_{\alpha }$-compact in $X$ if for every continuous function $f\: X \rightarrow \mathbb R^{\alpha }$, $f[B]$ is a compact subset of $\mathbb R^{\alpha }$. If $B$ is a $C$-compact subset of a space $X$, then $\rho (B,X)$ denotes the degree of $C_{\alpha }$-compactness of $B$ in $X$. A space $X$ is called $\alpha $-pseudocompact if $X$ is $C_{\alpha }$-compact into itself. For each cardinal $\alpha $, we give an example of an $\alpha $-pseudocompact space $X$ such that $X \times X$ is not pseudocompact: this answers a question posed by T. Retta in “Some cardinal generalizations of pseudocompactness” Czechoslovak Math. J. 43 (1993), 385–390. The boundedness of the product of two bounded subsets is studied in some particular cases. A version of the classical Glicksberg’s Theorem on the pseudocompactness of the product of two spaces is given in the context of boundedness. This theorem is applied to several particular cases.