The study presents results of the internal reliability analysis of structural modules used for the determination of horizontal displacement in incomplete trigonometric network. The influence of such elements as: number of control points, sight line length and arrangement of control points around the instrument station on reliability was analysed. Furthermore the analysis of the influence of diversification of reliability indices calculated for individual observations on the detection efficiency of non-dislocated control points was performed. The presented numerical example illustrates the possibility of incorrect valuation of control point stability because of a large diversification of reliability indices. The summary contains recommendations from the point of view of internal reliability for optimal designing of structural modules in incomplete trigonometric networks.

Divorced eutectoid growth of cementite in AISI 1080 steel is investigated as a function of cooling rate for incomplete austenitization-based heat treatment. Furthermore, a fundamental mathematical relationship is established through analytical treatment that correlates divorced eutectoid growth with effective cooling rate and degree of undercooling in view of bulk diffusion controlled growth model. As the cooling rate increases, the divorced eutectoid growth of cementite is gradually ceased. The result predicted by the analytical model closely matches with the experimental result (%Deviation ≤ 7).

The ethics of ‘theistic absolute morality’ (TAM), as any other ethical theory, must offer a definition of good, describe the connection between good and duty, and provide an effective guidance to human conduct. In the ethics of TAM we find, in my rendering of its claims, an irremediably unsuccessful definition of good, permanently loose connection between moral value and moral duty, and irreparably limited practical efficacy. It is not surprising that it has to be so, as it is a common condition of all ethical systems. The TAM ethics suffers, however, additionally from a unique conceptual trouble, but that is a story I have told elsewhere.

According to Kurt Gödel, Bertrand Russell misinterpreted the incompleteness theorem, but did it in ʻa very interesting manner’. To understand what he meant we need to consider their attitudes to defining truth. Even more revealing is the discussion of two fundamental approaches to logic: one is universalistic, and assumed by both Russell and Gödel, and the other is model‑theoretical, Alfred Tarski’s style. It turns out that a misleading or erroneous interpretation can be interesting, as it reveals something fundamental. William Byers claims that truly great ideas in mathematics and about mathematics are in a way false, as they lead to errors, but at the same time they can help to make advances in math. Logicism provides a good example. In addition it may be mentioned that when Russell argued in its favor, he committed a logical fallacy.