The notion of order and the spatial logic of a new polis: three approaches to the problem of rationality in the contemporary philosophy of urbanism

Inspired by the questions about the sense of the city and the condition of contemporary urbanism, the author discusses the notion of order in the context of strategic and structural factors affecting spatial logic of a “New Polis”. Focusing on structural forces and decision-making patterns underlying the configuration of urban projects, he identifies three ways of argumentation where the possible answers could be found. These lines of reasoning can also be regarded as philosophical approaches to the problem of rationality in contemporary theories of urbanism. Using urban strategy-structure relations as the typological criterion, he distinguishes between three types of rationality – or three types of order: 1) morphological, 2) strategic and 3) synergic. In the first instance, the logic of urbanistic decisions is interpreted in the morphological context of urban structure and its dynamics. In the second case, spatial logic of urban form reflects neoliberal strategies focused on large-scale urban developments. In the third approach, called here as synergic configuration, it is assumed that strategies which pay more attention to the construction of physical and functional links between urban development projects will induce synergy expected in the overall strategy of a New Polis. Such a configuration of networked projects – and respective synergy of urbanistic construction – reflects the idea of strategic planning with a strong urban project gaming component. Focusing on structural implications of this type of urban synergy, the author proposes also the SAS (strategies – actors – structures) model. He illustrates this idea with the examples taken from the city of Krakow

Finite Matrix Groups over Nilpotent Group Rings

AbstractWe study groups of matricesSGLn(ZΓ) of augmentation one over the integral group ring ZΓ of a nilpotent group Γ. We relate the torsion ofSGLn(ZΓ) to the torsion of Γ. We prove that all abelianp-subgroups ofSGLn(ZΓ) can be stably diagonalized. Also, all finite subgroups ofSGLn(ZΓ) can be embedded into the diagonal Γn<SGLn(ZΓ). We apply matrix results to show that if Γ is nilpotent-by-(Π′-finite) then all finite Π-groups of normalized units in ZΓ can be embedded into Γ