Putnam, Peano, and the Malin Génie: could we possibly bewrong about elementary number-theory?

This article examines Hilary Putnam's work in the philosophy of mathematics and - more specifically - his arguments against mathematical realism or objectivism. These include a wide range of considerations, from Gödel's incompleteness-theorem and the limits of axiomatic set-theory as formalised in the Löwenheim-Skolem proof to Wittgenstein's sceptical thoughts about rule-following (along with Saul Kripke's ‘scepticalsolution’), Michael Dummett's anti-realist philosophy of mathematics, and certain problems – as Putnam sees them – with the conceptual foundations of Peano arithmetic. He also adopts a thought-experimental approach – a variant of Descartes' dream scenario – in order to establish the in-principle possibility that we might be deceived by the apparent self-evidence of basic arithmetical truths or that it might be ‘rational’ to doubt them under some conceivable (even if imaginary) set of circumstances. Thus Putnam assumes that mathematical realism involves a self-contradictory ‘Platonist’ idea of our somehow having quasi-perceptual epistemic ‘contact’ with truths that in their very nature transcend the utmost reach of human cognitive grasp. On this account, quite simply, ‘nothing works’ in philosophy of mathematics since wecan either cling to that unworkable notion of objective (recognition-transcendent) truth or abandon mathematical realism in favour of a verificationist approach that restricts the range of admissible statements to those for which we happen to possess some means of proof or ascertainment. My essay puts the case, conversely, that these hyperbolic doubts are not forced upon us but result from a false understanding of mathematical realism – a curious mixture of idealist and empiricist themes – which effectively skews the debate toward a preordained sceptical conclusion. I then go on to mount a defence of mathematical realism with reference to recent work in this field and also to indicate some problems – as I seethem – with Putnam's thought-experimental approach as well ashis use of anti-realist arguments from Dummett, Kripke, Wittgenstein, and others.     

Approaching Complex Cases With a Crisis Intervention Model and Teamwork

Patients referred for genetic counseling may be in a state of crisis, feeling as though they are incapable of making decisions about the management of their pregnancy, genetic testing options and/or life planning issues. The role of the genetic counselor is to assist a patient through this crisis state by increasing the patient's understanding and by helping to facilitate decision making and adjustment to those decisions. In this paper we present a clinical genetic counseling case that was complicated by numerous medical and psychosocial issues. The wide scope of this case required the involvement of both a prenatal and a medical genetic counselor. Working as a team we utilized a crisis intervention model. Our counseling focused on identifying and isolating the issues, providing factual information, setting a time frame for decisions to be made, and encouraging social support and emotion-focused coping strategies.     

The Effect of Examining Actual Products or Product Descriptions on Consumer Preference

Many consumers purchase products in stores, where they can physically examine and touch the items. In addition, consumers shop for products online or through direct mail, where they cannot physically examine and touch the merchandise. Building on an analysis of perceptual mechanisms involved in the sense of touch, we find that products with primarily material properties, such as clothing or carpeting, are more likely to be preferred in shopping environments that allow physical inspection than in those environments that do not. We also find that there is no difference in preference across the two environments for products with primarily geometric properties, such as packaged goods, for which vision is highly diagnostic. Furthermore, when the touch properties of a material product are verbally described, this reduces the difference in preference between the two environments.     

Improving Health Care Utilization, Improving Chronic Disease Utilization, Health Status, and Adjustment in Adolescents and Young Adults with Cystic Fibrosis: A Preliminary Report

We conducted a randomized clinical trial of a 3-session written self-disclosure intervention for patients with cystic fibrosis (CF). Patients (n = 39) who were at least 15 years of age and diagnosed with CF participated in the intervention. Participants in the intervention arm were asked to write in the health care setting about an important emotionally distressing issue of personal significance for a 20-min period of time and two additional 20-min writing episodes at the patient's home, which were prompted by telephone calls. Patients in the control condition received standard care alone. Findings revealed that the intervention resulted in a reduction of the number of days patients spent in the hospital over a 3-month period. The intervention did not have an impact on physiological (Forced Expiratory Volume and Body Mass Index or subjective markers of health status. These findings extend those of Pennebaker's (cf., J. Smyth, 1998) demonstrating an effect of the written-self-disclosure intervention on health care utilization. These preliminary findings are promising and justify further investigation of the modified intervention in other chronic illness populations.     

Attitude‐behaviour consistency: the role of group norms,attitude accessibility,and mode of behavioural decision‐making

The interplay between two perspectives that have recently been applied in the attitude area—the social identity approach to attitude‐behaviour relations (Terry & Hogg, 1996 ) and the MODE model (Fazio, 1990a )—was examined in the present research. Two experimental studies were conducted to examine the role of group norms, group identification, attitude accessibility, and mode of behavioural decision‐making in the attitude‐behaviour relationship. In Study 1 (N = 211), the effects of norms and identification on attitude‐behaviour consistency as a function of attitude accessibility and mood were investigated. Study 2 (N = 354) replicated and extended the first experiment by using time pressure to manipulate mode of behavioural decision‐making. As expected, the effects of norm congruency varied as a function of identification and mode of behavioural decision‐making. Under conditions assumed to promote deliberative processing (neutral mood/low time pressure), high identifiers behaved in a manner consistent with the norm. No effects emerged under positive mood and high time pressure conditions. In Study 2, there was evidence that exposure to an attitude‐incongruent norm resulted in attitude change only under low accessibility conditions. The results of these studies highlight the powerful role of group norms in directing individual behaviour and suggest limited support for the MODE model in this context. Copyright © 2003 John Wiley & Sons, Ltd.     

Attention to Sex in Psychological Research as Related to Journal Policy and Author Sex

From 1969 to 1974, Developmental Psychology, but not Child Development , specified that authors analyze for sex differences. The authors examined 503 studies published in Child Development and Developmental Psychology in 1971 and 1975. Sex of senior author, subjects and experimenter(s) were recorded for each study. If subjects of both sexes were used, the presence or absence of the following were noted: (a) analysis of sex differences; (b) hypotheses regarding sex differences; (c) mention of subjects' sex in the abstract. For single-sex-subject studies, mention of subjects' sex in the discussion or conclusion was noted. Using these data as dependent variables, chi-square analyses were performed comparing: (a) the two journals; (b) 1971 and 1975 authors; and (c) male and female authors. The findings were: (a) More attention was paid to sex in Developmental Psychology when the journal had a written editorial policy regarding this factor; (b) Evidence was mixed for increasing awareness of sex as a variable between 1971 and 1975; (c) Female authors were more aware of sex than were male authors in 1971 but not in 1975; (d) In both years, authors used own-sex subjects and experimenters more than those of the opposite sex; (e) Developmental psychologists, as compared to psychologists in other areas previously examined, were more sensitive to sex as a variable.