We discuss epistemological and methodological aspects of the Bayesian approach in astrophysics and cosmology. The introduction to the Bayesian framework is given for a further discussion concerning the Bayesian inference in physics. The interplay between the modern cosmology, Bayesian statistics, and philosophy of science is presented. We consider paradoxes of confi rmation, like Goodman’s paradox, appearing in the Bayesian theory of confirmation. As in Goodman’s paradox the Bayesian inference is susceptible to some epistemic limitations in the logic of induction. However, Goodman’s paradox applied to cosmological hypotheses seems to be resolved due to the evolutionary character of cosmology and the accumulation of new empirical evidence. We argue that the Bayesian framework is useful in the context of falsifiability of quantum cosmological models, as well as contemporary dark energy and dark matter problem.
In 2018, the 90th anniversary of Professor Vasiliy Danilovich Bondaletov`s birth will be celebrated. The aim of the article is to remind readers of the quantitative and qualitative method of statistical analysis in anthroponomastic research developed by Professor Bondaletov, as well as to show its advantages over simplified descriptions of the frequency of personal names. In this article, the detailed analysis of male Christian names found in customs books from Northern Russia (1633–1636 and 1678–1680) was conducted. The comparison of statistical data, according to the suggestion of Professor V. D. Bondaletov, enabled us to observe subtle differences between the abovementioned resources, namely to estimate the level of their (dis)similarity and describe the dynamics of the evolution of the resources of male Christian names throughout the 17th century, as well as changes in the popularity of various names.