O „dobrej” I „złej” indukcji

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On „good” and „bad” induction

     

Some theorems on structural entailment relations

The classesMatr( \( \subseteq \) ) of all matrices (models) for structural finitistic entailments \( \subseteq \) are investigated. The purpose of the paper is to prove three theorems: Theorem I.7, being the counterpart of the main theorem from Czelakowski [3], and Theorems II.2 and III.2 being the entailment counterparts of Bloom's results [1]. Theorem I.7 states that if a classK of matrices is adequate for \( \subseteq \) , thenMatr( \( \subseteq \) ) is the least class of matrices containingK and closed under the formation of ultraproducts, submatrices, strict homomorphisms and strict homomorphic pre-images. Theorem II.2 in Section II gives sufficient and necessary conditions for a structural entailment to be finitistic. Section III contains theorems which characterize finitely based entailments.     

A belief in trend reversal requires access to cognitive resources

There are two research traditions studying people's reactions to random binary events: one concerns serial choice reaction times, the other concerns predictions of events in a series. The present studies focused on comparing expectations between these two approaches. We formed and tested a general hypothesis that, regardless of the type of task, when an individual faces a sequence of events they initially expect trend continuation. Only when people assume that a sequence is random might they override the default and expect trend reversal instead. In a series of experiments we found that limitation of access to cognitive resources enhances expectations of trend continuation. Our interpretation of this finding is that an expectation of trend continuation is the default for the human cognitive system and that a belief in trend reversal requires access to cognitive resources to overcome the tendency to expect trend continuation.     

Emotional Distress Associated with Surgical Treatment and its Relationship with Coping Profiles Among Chronically ill Older Patients

The study determines the patterns of coping styles among older patients with hip osteoarthritis and assesses the derived profiles in terms of perceived stress and anxiety before and after arthroplasty. Sixty-one hospital patients (mean age 70.3 years) were analysed one day before arthroplasty and three months after. The participants were assessed with the Brief-COPE (coping style), PSS-10 (perceived stress) and STAI (anxiety) psychometric tests. Four coping patterns were yielded using data clustering: rational, enterprising (resourceful), potentially maladaptive and flexible. Repeated measures ANOVA indicated a main effect within subjects but did not indicate that decreases of stress and anxiety varied differently between groups. Cluster 1 (a coping profile characterised by high helplessness, low active coping, high avoidance) reported significantly greater stress and anxiety than all other groups before and after hip replacement, while clusters 2 (flexible), 3 (resourceful) and 4 (rational) were characterised by similar levels of anxiety and stress. Older patients with osteoarthritis might differ in terms of emotional response to surgical treatment. Screening for coping styles at admission to hospital may indicate more vulnerable individuals.