It is shown that $\operatorname{Con}(ZF)$ implies $\operatorname{Con}(ZFC$ + there exists a Dowker filter on ω2). The problem is also considered on higher cardinals.

The complex chaotic dynamics and multistability of financial system are some important problems in micro- and macroeconomic fields. In this paper, we study the influence of two-delay feedback on the nonlinear dynamics behavior of financial system, considering the linear stability of equilibrium point under the condition of single delay and two delays. The system undergoes Hopf bifurcation near the equilibrium point. The stability and bifurcation directions of Hopf bifurcation are studied by using the normal form method and central manifold theory. (...) The theoretical results are verified by numerical simulation. Furthermore, one feature of the proposed financial chaotic system is that its multistability depends extremely on the memristor initial condition and the system parameters. It is shown that the nonlinear dynamics of financial chaotic system can be significantly changed by changing the values of time delays. (shrink)

College students have become more representative as blood donors, mainly to help other people. This study ascertained the association between spirituality and adherence or intention to donate blood in post-graduate students. In this quantitative and cross-sectional study, participants were 281 students from a post-graduate programme at a Brazilian public university. After complying with ethical requirements, data were collected through a questionnaire for sociodemographic characterization and identification of blood donation practices, followed by the Spiritual Well-Being Scale. Descriptive statistics and parametric tests (...) were used for data analysis. A total of 74% of the participants were female and 26% were male. Previous experience and/or intention to donate blood were found in 75.3%; 14.3% donated blood periodically. In addition, 12.2% were not adept to donation and 12.5% were inapt. Spiritual Well-Being scores were similar between individuals who are not adept and those who donate periodically. In conclusion, in the sample, spirituality and blood donation are not associated, but spiritual well-being and gender are. To enhance blood donation, further research is needed. (shrink)

According to Wittgenstein, philosophical puzzles are due to deep prejudices about language. In this collection of essays, in honour of Rush Rhees, philosophers investigate the hold such prejudices have on us in a number of closely related areas of philosophical enquiry.

Regrettably, in the original version of this article the name of one of the authors was spelt incorrectly. "Li Yan Hsu" should be "Li Yang Hsu".