We make a more systematic study of the van Douwen diagram for cardinal coefficients related to combinatorial properties of partitions of natural numbers.

Roughly speaking, a pattern is a finite sequence coding the set of natural numbers n for which the Σ n + 1 projectum is less than the Σ n projectum for a given admissible ordinal. We prove that for each pattern there exists an ordinal realizing it. Several results on the orderings of patterns are given. We conclude the paper with remarks on ▵ n projecta. The main technique, used throughout the paper, is Jensen's Uniformisation Theorem.

The aim of the article is to examine differences in the quality of life as well as gratitude, meaning in life and positive orientation to life between diocesan and religious seminarians and secular students. The influence of religiosity on quality of life and subjective well-being is the subject of numerous studies, but seminarians have rarely been included in them. The present research was carried out for the first time with a group of diocesan and religious seminarians in Poland and secular (...) students. The study involved 296 participants—98 diocesan seminarians, 96 religious seminarians and 102 secular students in the control group. Results showed significant differences in the quality of life. Religious and diocesan seminarians scored higher than the control group members in the psychophysical, personal, psychosocial and metaphysical spheres. In addition, in terms of gratitude, and the presence of meaning in life, religious and diocesan seminarians achieved higher scores than the control group but lower scores in searching for the meaning in life. There were no significant differences between diocesan and religious seminarians except that only diocesan seminarians obtained significantly higher scores on positive orientation to life than the control group. Overall, results support the idea that seminarians have higher quality of life and subjective well-being than secular students. Research implications are discussed. (shrink)

We present several examples of hereditary classes of finite structures satisfying the joint embedding property and the weak amalgamation property, but failing the cofinal amalgamation property. These include a continuum‐sized family of classes of finite undirected graphs, as well as an example due to Pouzet with countably categorical generic limit.