Interaction of the Synod and Its Institutions with the Secret Chancellery in the First Half of the 1720s

This article studies the mechanism of interaction of the Synod, its institutions and bodies of the central church administration with the Secret Chancellery during the first half of the 1720s. The analysis is based on the documents of the Synod containing correspondence with the Secret Chancellery. This study is a continuation of the research on the relationship between the Secret Chancellery and the Russian Orthodox Church, whose resluts had been published earlier. A deeper immersion in the topic provided greater insights into the joint activities of the synodal institutions and Russia’s main penal body at the time, as well as revealed the details of the most important contacts and pertinent problems. Of particular importance is the activity of the Chancellery of the Most Holy Synod, through which official correspondence with the Secret Chancellery and control over the implementation of its decisions as well as defrocking of priests before the start of investigation were carried out. Further, the paper describes the categories of convicts who were sent to the Synod from the Secret Chancellery and looks into the differences in their position. Contrary to the prevailing opinion about the absence of relations between the Synod and the Secret Chancellery, the author concludes that in practice there was a certain mechanism of interaction, which concerned investigations regarding the accused from among the clergy and their commital, as well as granting official requests from both parties, sending ecclesiastical experts, and enforcing sentences of the Secret Chancellery. In addition, facts are considered that testify to extremely complex and contradictory relations between the Synod and the Secret Chancellery. The author concludes that the relationship between these institutions was not systemic, but developed in the context of the state’s general advance on the church and subordination of the latter and the clergy to state interests. The mechanism of interaction between the Synod and the Secret Chancellery was formed in line with this trend as well.

The complexity of mental integer addition

An important paradigm in modeling the complexity of mathematical tasks relies on computational complexity theory, in which complexity is measured through the resources (time, space) taken by a Turing machine to carry out the task. These complexity measures, however, are asymptotic and as such potentially a problematic fit when descriptively modeling mathematical tasks that involve small inputs. In this paper, we argue that empirical data on human arithmetical cognition implies that a more fine-grained complexity measure is needed to accurately study mental arithmetic tasks. We propose a computational model of mental integer addition that is sensitive to the relevant aspects of human arithmetical ability. We show that this model necessitates a two-part complexity measure, since the addition tasks consists of two qualitatively different stages: retrieval of addition facts and the (de)composition of multidigit numbers. Finally, we argue that the two-part complexity measure can be developed into a single response-time measure with the help of empirical study of the two stages.