Constitutive essence and partial grounding

Kit Fine and Gideon Rosen propose to define constitutive essence in terms of ground-theoretic notions and some form of consequential essence. But we think that the Fine–Rosen proposal is a mistake. On the Fine–Rosen proposal, constitutive essence ends up including properties that, on the central notion of essence (what Fine calls ‘the notion of essence which is of central importance to the metaphysics of identity’), are necessary but not essential. This is because consequential essence is (roughly) closed under logical consequence, and the ability of logical consequence to add properties to an object’s consequential essence outstrips the ability of ground-theoretic notions, as used in the Fine–Rosen proposal, to take those properties out. The necessary-but-not-essential properties that, on the Fine–Rosen proposal, end up in constitutive essence include the sorts of necessary-but-not-essential properties that, others have noted, end up in consequential essence.     

Ontological realism and sentential form

The standard argument for the existence of distinctively mathematical objects like numbers has two main premises: (i) some mathematical claims are true, and (ii) the truth of those claims requires the existence of distinctively mathematical objects. Most nominalists deny (i). Those who deny (ii) typically reject Quine’s criterion of ontological commitment. I target a different assumption in a standard type of semantic argument for (ii). Benacerraf’s semantic argument, for example, relies on the claim that two sentences, one about numbers and the other about cities, have the same grammatical form. He makes this claim on the grounds that the two sentences are superficially similar. I argue that these grounds are not sufficient. Other sentences with the same superficial form appear to have different grammatical forms. I offer two plausible interpretations of Benacerraf’s number sentence that make use of plural quantification. These interpretations appear not to incur ontological commitments to distinctively mathematical objects, even assuming Quine’s criterion. Such interpretations open a new, plural strategy for the mathematical nominalist.     

The link between deductive reasoning and mathematics

ABSTRACT

Recent studies have shown that deductive reasoning skills (including transitive and conditional inferences) are related to mathematical abilities. Nevertheless, so far the links between mathematical abilities and these two forms of deductive inference have not been investigated in a single study. It is also unclear whether these inference forms are related to both basic maths skills and mathematical reasoning, and whether these relationships still hold if the effects of fluid intelligence are controlled. We conducted a study with 87 adult participants. The results showed that transitive reasoning skills were related to performance on a number line task, and conditional inferences were related to arithmetic skills. Additionally, both types of deductive inference were related to mathematical reasoning skills, although transitive and conditional reasoning ability were unrelated. Our results also highlighted the important role that ordering abilities play in mathematical reasoning, extending findings regarding the role of ordering abilities in basic maths skills. These results have implications for the theories of mathematical and deductive reasoning, and they could inspire the development of novel educational interventions.     

Peer-Based Interventions on Academic Integrity: Assessing Immediate and Long Term Learning

The current study extends previous literature regarding the effectiveness of learning about academic integrity through peer instruction by assessing the impact of a peer instructional approach for actual and perceived learning gains over time. One trained residence don provided one interactive 30-min presentation covering four major aspects of academic integrity and misconduct (i.e., definition, detection, consequences, and importance of academic integrity) to groups of undergraduate students. In total, 192 participants attended the workshop and were surveyed for their knowledge of academic integrity immediately before the presentation, immediately after the presentation, and after a four week delay. Perceptions regarding the presentation also were assessed. Consistent with previous literature, results indicate perceived learning gains and preference for having an interactive presentation delivered by a residence don. In addition, actual gains in knowledge were found immediately after the presentation and gains remained evident over a four-week delay. Outcomes suggest that peer instruction is a viable and effective approach for educating students about academic integrity.     

The Impact of Social Support on the Relationship between Trauma History and PTSD Symptoms in Motor Vehicle Accident Victims

The present study examined how different types of social support differentially moderated the relationship between trauma history characteristics and the development of posttraumatic stress disorder symptoms (PTSS) following a motor vehicle accident (MVA). Two hundred thirty-five MVA victims self-reported levels of social support and trauma history, and were evaluated for PTSS 6- and 12-months post-MVA. Results indicated that after controlling for gender, injury severity and income, number of prior trauma types and subjective responses to prior traumatization predicted subsequent PTSS (ps < .05). Appraisal social support was a significant moderator of the total number of types of trauma (appraisal: 6-months β = -.16, p < .05; 12-months β = -.17, p < .05) and subjective physical injury during the prior trauma (appraisal: 6-months β = -.14, p < .05; 12-months β = -.19, p < .05) in predicting PTSS. Results underscore the importance of examining both trauma history and social support as multi-dimensional constructs and suggest merit to addressing social support in trauma victims with a prior trauma history.     

NONCONTINGENT REINFORCEMENT: A FURTHER EXAMINATION OF SCHEDULE EFFECTS DURING TREATMENT

We conducted 2 studies to determine whether dense and thin NCR schedules exert different influences over behavior and whether these influences change as dense schedules are thinned. In Study 1, we observed that thin as well as dense NCR schedules effectively decreased problem behavior exhibited by 3 individuals. In Study 2, we compared the effects of 2 NCR schedules in multielement designs, one with and the other without an extinction (EXT) component, while both schedules were thinned. Problem behavior remained low as the NCR schedule with EXT was thinned, but either (a) did not decrease initially or (b) subsequently increased as the NCR schedule without EXT was thinned. These results suggest that dense schedules of NCR decrease behavior by altering its motivating operation but that extinction occurs as the NCR schedule is thinned. The benefits and limitations of using dense or thin NCR schedules are discussed.     

Status conferral in intergroup social dilemmas: behavioral antecedents and consequences of prestige and dominance

Bridging the literatures on social dilemmas, intergroup conflict, and social hierarchy, the authors systematically varied the intergroup context in which social dilemmas were embedded to investigate how costly contributions to public goods influence status conferral. They predicted that contribution behavior would have opposite effects on 2 forms of status-prestige and dominance-depending on its consequences for the self, in-group and out-group members. When the only way to benefit in-group members was by harming out-group members (Study 1), contributions increased prestige and decreased dominance, compared with free-riding. Adding the option of benefitting in-group members without harming out-group members (Study 2) decreased the prestige and increased the dominance of those who chose to benefit in-group members via intergroup competition. Finally, sharing resources with both in-group and out-group members decreased perceptions of both prestige and dominance, compared with sharing them with in-group members only (Study 3). Prestige and dominance differentially mediated the effects of contribution behavior on leader election, exclusion from the group, and choices of a group representative for an intergroup competition. Taken together, these findings show that the well-established relationship between contribution and status is moderated by both the intergroup context and the conceptualization of status.