Subalgebras and homomorphisms of semi-Post algebras

Semi-Post algebras have been introduced and investigated in [6]. This paper is devoted to semi-Post subalgebras and homomorphisms. Characterization of semi-Post subalgebras and homomorphisms, relationships between subalgebras and homomorphisms of semi-Post algebras and of generalized Post algebras are examined.     

Logic of paradox revisited

Conclusion If, to return to the image with which I started this paper we consider the path of papers written on the logical paradoxes, then there is much to be learnt from the more recent additions, those by Chihara, Dowden and Woodruff included. However, the case for the paraconsistent approach to the paradoxes has not been weakened. In fact, it seems to me to have been strengthened. If we consider the path of papers, not as a signle line, but branching according to the approach to the paradoxes advocated, then the Logic of Paradox would, I still submit, be on the right track.     

Envisioning motherhood: Mental-state language in caregiving narratives across the perinatal period

Nancy Suchman's work highlighted the fundamental role of maternal mentalization in maternal addiction, mental health, and caregiving challenges. In this study, we aimed to examine the role of mental-state language (MSL) as a measure of mentalization in prenatal and postnatal narratives and their sentiment in a sample of 91 primarily White mothers from the western United States, followed from the second trimester of pregnancy, through the third trimester, to 4 months postpartum. Specifically, we investigated the use of affective and cognitive MSL in prenatal narratives when mothers visualized caring for their baby and postnatal narratives when mothers compared their prenatal visualization to the current caregiving reality. Results indicated moderate consistency in MSL between the second and third trimesters, but prenatal and postnatal MSL was not significantly correlated. Across all time points, higher use of MSL was related to more positive sentiment, indicating an association between mentalization and positive caregiving representations across the perinatal period. Women used more affective than cognitive MSL in prenatal imagination of caregiving, but this pattern was reversed in their postpartum reflection. Implications on assessing parental mentalization prenatally and considering the relative dominance of affective and cognitive mentalizing are discussed while considering study limitations.     

The average error of a learning model,estimation and use in testing the fit of models

A measure of the discrepancy between observed transition frequencies and those predicted by a learning model, an average error of a learning model, is presented. The maximum-likelihood estimator of the average error is derived and its use in a modified test of goodness of fit is demonstrated.     

Visual influences on auditory pluck and bow judgments

In the McGurk effect, visual information specifying a speaker’s articulatory movements can influence auditory judgments of speech. In the present study, we attempted to find an analogue of the McGurk effect by using nonspeech stimuli—the discrepant audiovisual tokens of plucks and bows on a cello. The results of an initial experiment revealed that subjects’ auditory judgments were influenced significantly by the visual pluck and bow stimuli. However, a second experiment in which speech syllables were used demonstrated that the visual influence on consonants was significantly greater than the visual influence observed for pluck-bow stimuli. This result could be interpreted to suggest that the nonspeech visual influence was not a true McGurk effect. In a third experiment, visual stimuli consisting of the wordspluck andbow were found to have no influence over auditory pluck and bow judgments. This result could suggest that the nonspeech effects found in Experiment 1 were based on the audio and visual information’s having an ostensive lawful relation to the specified event. These results are discussed in terms of motor-theory, ecological, and FLMP approaches to speech perception.     

Modeling the body temperature throughout the day with a two-term function

A two-term function with potential and exponential terms is proposed to model the body temperature throughout the day. These terms can be related to thermogenic and thermolytic processes that are opposite but simultaneous. The first term, a potential function, reflects that the heat gain process is predominant; the second term is a negative exponential function and reflects the predominance of heat dissipation. The function also provides the time of the inflection between thermal opposite processes. The proposed two-term function and a cosine function were fitted to 335 temperature series of 24-h duration recorded in humans and animals. The percentage of variance accounted for by the two-term function was higher than that for the cosine approximation for the total sample and for those series whose shape was asymmetrical (n=75). Nevertheless, no significant differences between the percentage of variance accounted for by the two functions were found for those series whose shape was symmetrical (n=260). The results of different subgroups that differed in experimental conditions are discussed.     

Inconsistent Models of Arithmetic Part I: Finite Models

The paper concerns interpretations of the paraconsistent logic LP which model theories properly containing all the sentences of first order arithmetic. The paper demonstrates the existence of such models and provides a complete taxonomy of the finite ones.     

On a Paradox of Hilbert and Bernays

The paper is a discussion of a result of Hilbert and Bernays in their Grundlagen der Mathematik. Their interpretation of the result is similar to the standard intepretation of Tarskis Theorem. This and other interpretations are discussed and shown to be inadequate. Instead, it is argued, the result refutes certain versions of Meinongianism. In addition, it poses new problems for classical logic that are solved by dialetheism.