The paper presents methods of analytical and measurement-based determination of pressures acting on sheet metal in the process of electrodynamic forming by means of flat inductors generating pulse magnetic field. Pressures are determined for sheet metal of different thicknesses processed by means of circular and elliptical spiral inductors. The paper describes also examples of copper and aluminium sheet metal forming conducted by means of the analysed inductors and shaped forming dies.

Cauchy paved the way for constructing models in concrete technology, and elsewhere. He determined the (nonflat) surface area in 3D by measuring random total projections. Analogously, he determined the length of a curved line in 2D by way of measuring the total projections. The paper will present the mathematical expressions, because in many branches of concrete technology, modelling is found based on such Cauchy concepts. These branches – fractography in compression, tension or shear, fibre reinforcement and permeability estimation – will briefly be mentioned to demonstrate this. It has been found that, for the discussed fields of engineering relevance, major model parameters for cementitious materials are similar to those developed by Cauchy in the 19th century. In the paper some previous investigations concerning fractography, fibre reinforcement and fracture roughness will be summarized but basically a new development on porosimetry will be presented. Particularly a new achievement of successful implementation of the methodology (also based on Cauchy) for optimizing permeability estimation will be discussed.

The subject of the article is the assessment of the way of presentation of the issue of realism and idealism in the Controversy over the Existence of the World by R. Ingarden. First, the author of this paper offers his own systematization of the issue of ‘realism – idealism’, then he goes on to show Ingarden’s position. The modern opposition ‘realism – idealism’ can be divided into three main areas: (1) the problem of the existence of the so‑called ‘constitutive a priori’, (2) the problem of the argumentative transgression of the immanence of consciousness (the so‑called ‘bridge problem’), (3) the problem of the causal genesis of the image of the world at the disposal of human cognitive subjects (skeptical hypotheses). The author undertakes to show that the Controversy over the Existence of the World takes as a starting point only a specific interpretation of the issue of realism and idealism: the interpretation contained in the writings of E. Husserl, while omitting the fundamental issue of the nature of time and space, and is limited thereby to the interpretation of realism and idealism from the point of view of the question of the existence qualified as constitutive a priori.