Mathematical Explanation and Epistemology: Please Mind the Gap

This paper draws together two strands in the debate over the existence of mathematical objects. The first strand concerns the notion of extra‐mathematical explanation: the explanation of physical facts, in part, by facts about mathematical objects. The second strand concerns the access problem for platonism: the problem of how to account for knowledge of mathematical objects. I argue for the following conditional: if there are extra‐mathematical explanations, then the core thesis of the access problem is false. This has implications for nominalists and platonists alike. Platonists can make a case for epistemic access to mathematical objects by providing evidence in favour of the existence of extra‐mathematical explanations. Nominalists, by contrast, can use the access problem to cast doubt on the idea that mathematical objects play a substantive role in scientific explanation. 1     

Psychoanalytic Engagements With Death: Discussion of Martin Frommer’s “Death Is Nothing at All: On Contemplating Non-Existence”

In this discussion, I reflect on some historical, theoretical, and clinical implications of Martin Frommer’s thesis that death anxieties are best navigated via reaffirming attachments with that which is beyond the self. Frommer’s examples of active engagement with his patients in personal modes of discourse about shared existential concerns are considered in terms of the ethics and responsibilities of self-disclosure and the therapist’s own subjective reactions to the death anxieties. Frommer’s contribution is applauded as an exemplar of relational psychoanalytic therapy that incorporates and goes beyond Freud’s formulations of internal processes of identification with the deceased.     

Reading Abraham Lincoln: An Expert/Expert Study in the Interpretation of Historical Texts

This study explored how historians with different background knowledge read a series of primary source documents. Two university-based historians thought aloud as they read documents about Abraham Lincoln and the question of slavery, with the broad goal of understanding Lincoln's views on race. The first historian brought detailed content knowledge to the documents; the second historian was familiar with some of the themes in the documents but quickly became confused in the details. After much cognitive flailing, the second historian was able to piece together an interpretative structure that brought him by the task's end to where his more knowledgeable colleague began. Data analysis focused on how, lacking detailed content knowledge, this historian was able to regain his intellectual footing, work through confusion, and resist the urge to simplify. Implications of this work for cognitive analyses in history and education are discussed.     

Preliminary examination of timesharing in United States Air Force ROTC cadets

Previous research has shown that timesharing ability--the ability to perform multiple tasks simultaneously--is related to various indices of aircraft pilots' proficiency. Superior timesharing has also been demonstrated by experienced pilots. The present study examined timesharing of United States Air Force Reserve Officer Training Corps (AFROTC) cadets, who are relatively inexperienced (some with no flying experience). 10 AFROTC cadets (M age = 21.4 yr., SD = 1.0) and 18 noncadets (M age = 19.8 yr., SD = 0.9) were evaluated. Participants performed a tracking task on the Multi-Attribute Task battery in a single-task condition, a dual-task condition, and a tri-task condition. Cadets' tracking performance was superior to that by noncadets in the dual-task and tri-task conditions.     

How to endure presentism

Presentism and endurantism are natural bedfellows: arguments have been mounted from endurantism to presentism and vice versa. I generalise an argument against the compatibility between presentism and endurantism offered recently by Tallant (forthcoming. “Presentism, Persistence and Trans-temporal Dependence.” Philosophical Studies). I then show how to reformulate endurantism so that it is compatible with presentism. I demonstrate that this reformulated version of endurantism can do the same work with respect to the problem of temporary intrinsics as can standard definitions.     

Role of intertrial interval following an escape or avoidance response in bar-press avoidance

In three experiments, rats learned bar-press avoidance as a function of the intertrial interval following an escape or an avoidance. The general hypothesis is that the length of these intervals affects bar-press avoidance differentially, depending on whether an avoidance follows an escape (avoidance/escape) or an avoidance (avoidance/avoidance) on the previous trial. Specifically, it is proposed that short escape ITIs will facilitate avoidance/escape and avoidance/avoidance, while avoidance ITIs will have no effect on avoidance responding. The results tend to support this hypothesis. The shorter the intertrial interval following an escape, the higher the probability of both measures: avoidance/escape and avoidance/avoidance. No effect of avoidance interval was found on avoidance/avoidance. Unpredictedly, however, it was found that in comparison to a very short intertrial interval following an avoidance (0.5 sec), relatively long intervals (5 and 45 sec) facilitate avoidance/escape. These results were interpreted as mainly reflecting nonassociative factors such as shock-produced activity.