Some Weakened Gödelian Ontological Systems

We describe a KB Gödelian ontological system, and some other weak systems, in a fully formal way using theory of types and natural deduction, and present a completeness proof in its main and specific parts. We technically and philosophically analyze and comment on the systems (mainly with respect to the relativism of values) and include a sketch of some connected aspects of Gödel's relation to Kant.     

Increased susceptibility of aphasics to a distractor task in the recall of verbal commands

The ability of 15 control, 15 nonaphasic brain-damaged, and 15 aphasic patients to carry out three-word commands on the Token Test was studied under three conditions: no delay, 20-sec unfilled delay, and 20-sec delay filled with a counting task. Only aphasics with mild to moderate comprehension deficit participated in the experiment and their scores in the no-delay condition were not inferior to those of the other two groups. The 20-sec unfilled delay did not bring about a decrement of the performance in any group, while all of them were impaired with 20-sec filled delay. The rate of forgetting was, however, significantly greater in aphasics than in patients without language disorders, even when the scores of the no-delay condition were introduced as covariates in the analysis of the filled-delay condition. The same result was obtained when, in a second experiment, 4 sec elapsed between the end of the command and the beginning of the counting activity. The increased susceptibility of aphasics to the disruptive effect of the distractor task is viewed as following a failure in organizing verbal information, a deficit that may contribute to lowering their comprehension level.     

Naming and Diagonalization, from Cantor to Godel to Kleene

We trace self-reference phenomena to the possibility of namingfunctions by names that belong to the domain over which thefunctions are defined. A naming system is a structure of theform (D, type( ),{ }), where D is a non-empty set; for everya D, which is a name of a k-ary function, {a}: D^k D is thefunction named by a, and type(a) is the type of a, which tellsus if a is a name and, if it is, the arity of the named function.Under quite general conditions we get a fixed point theorem,whose special cases include the fixed point theorem underlyingGödel's proof, Kleene's recursion theorem and many othertheorems of this nature, including the solution to simultaneousfixed point equations. Partial functions are accommodated byincluding "undefined" values; we investigate different systemsarising out of different ways of dealing with them. Many-sortednaming systems are suggested as a natural approach to generalcomputatability with many data types over arbitrary structures.The first part of the paper is a historical reconstruction ofthe way Gödel probably derived his proof from Cantor'sdiagonalization, through the semantic version of Richard. Theincompleteness proof–including the fixed point construction–resultfrom a natural line of thought, thereby dispelling the appearanceof a "magic trick". The analysis goes on to show how Kleene'srecursion theorem is obtained along the same lines.     

Undecidability without Arithmetization

In the present paper the well-known Gödels – Churchs argument concerning the undecidability of logic (of the first order functional calculus) is exhibited in a way which seems to be philosophically interestingfi The natural numbers are not used. (Neither Chinese Theorem nor other specifically mathematical tricks are applied.) Only elementary logic and very simple set-theoretical constructions are put into the proof. Instead of the arithmetization I use the theory of concatenation (formalized by Alfred Tarski). This theory proves to be an appropriate tool. The decidability is defined directly as the property of graphical discernibility of formulas.     

Mythological Underpinnings of Feminine Development

In the manner of Oedipus Rex, the myth of Myrrha—a story about a daughter's initiation of sex with her father—promises to divulge insights about feminine development. Given parallels between these two myths, the author asks why Jung identified Electra rather than Myrrha as the feminine counterpart to Oedipus, and revisits Freud's and Jung's differing interpretations of the incest theme in personality development. To break open the metaphor of Myrrha's incest, the author analyzes a similar account of incest in the Old Testament story of Lot and his wife and finds that they share a theme of female bitterness related to wounding of the mother and its arresting effect on the daughter's maturation. The article then considers the Demeter-Persephone myth, a tale not of incest but rape in Persephone's initiation into womanhood. In contrast to Myrrha, Persephone's development unfolds with strong maternal support tempered by the opposing claims on her by the masculine. The article draws these stories together to illuminate the archetypal forces that drive feminine development as well as the human affairs that resist and complicate them. The article concludes with a case study of a client whose developmental “stuckness” follows the contours of the Myrrha myth.     

Labels and the Self: Identity Labels as Scaffold

This paper considers how labels may be used: “Neurodiverse,” “genderfluid,” “sex-positive,” “ADHD,” and “highly-sensitive” are just some of the labels that may be offered by patients in introducing themselves. Such labels can be thought of as shortcuts, a way to define identity and sum up a feeling state, attitude, or behaviour. While they may sometimes be “given” in the sense of a diagnosis, they are also “found” and self-adopted. Using scaffolding as a metaphor for allowing growth or development to take place (or compensate for its absence), the phenomenon of self-labelling is presented as fulfilling different functions, namely: Label as mirrored reflection; Label as creative defence; Label as something with which to play; Label as container for that which cannot yet be known; Label as calling something into being; and Label as collective dream image. The article starts with three brief composite clinical sketches, and goes on to explore some of the ways that labels may be used with reference to the presented clinical material.     

Randomized controlled trial of a prenatal focused coparenting consultation for unmarried black fathers and mothers: One-year infant and family outcomes

In the infant mental health field, scant conceptual attention has been given to coparenting and family adaptations of non-white family systems, with no evidence-based, community-informed coparenting interventions responsive to unmarried Black mothers’ and fathers’ life circumstances. This study examined 1-year post-partum child and family outcomes of a novel, modest dosage (six sessions) prenatal focused coparenting consultation (FCC) using randomized controlled trial methodology. One-hundred-thirty-eight expectant families (one or both parents identified as Black/African American) were randomized to an intervention (N = 70) or treatment-as-usual (TAU; control) condition (N = 68). TAU families received navigational support in accessing existing community services for pregnant families. Intervention families received TAU plus 6 dyadic FCC sessions led by a Black male-female Community Mentor team. When infants were three and 12 months old, parents reported on coparenting, father engagement, interparental aggression, depressive symptoms, and infant social and emotional adjustment. Intent-to-treat analyses focusing on 12-month post-partum data indicated significant intervention effects on coparenting, interparental psychological aggression, and infants’ emotional adjustment. Improvement was also seen in depression and father engagement, with gains for both groups. Results suggest FCC delivered by same-race Community Mentors to unmarried Black coparents transitioning to parenthood supports infant and family adaptation during the first year of life.     

Parenting stress and competence among mothers of young children with substance use disorders: The roles of trauma and reflective functioning

Posttraumatic stress symptoms are prominent in the lives of parents of young children with substance use disorders (SUD). Parenting experiences, particularly stress and competence, impact parenting behaviors and concomitant child growth and development. Factors that promote positive experiences of parenting, such as parental reflective functioning (PRF), and protect the mother and child from negative outcomes are crucial to understand to develop effective therapeutic interventions. The current US study analyzed baseline data from a parenting intervention evaluation to examine how length of substance misuse, PRF, and trauma symptoms were associated with parenting stress and parenting sense of competence among mothers in treatment for SUDs. Measures included the Addiction Severity Index, PTSD Symptom Scale-Self Report, Parental Reflective Functioning Questionnaire, Parenting Stress Index/Short Form, and Parenting Sense of Competence Scale. The sample included 54 predominantly White mothers with SUDs who had young children. Two multivariate regression analyses found that (1) lower parental reflective functioning and higher posttraumatic stress symptoms were associated with higher parenting stress, and (2) only higher posttraumatic stress symptoms were associated with lower levels of parenting sense of competence. Findings underscore the importance of addressing trauma symptoms and PRF when aiming to improve parenting experiences for women with an SUD.