Set Theory

This stimulating workshop exposed some of the most exciting recent develops in set theory, including major new results about the proper forcing axiom, stationary reflection, gaps in P(ω)/Fin, iterated forcing, the tree property, ideals and colouring numbers, as well as important new applications of set theory to C*-algebras, Ramsey theory, measure theory, representation theory, group theory and Banach spaces

Stationary set preserving L-forcings and the extender algebra

Wir konstruieren das Jensensche L-Forcing und nutzen dieses um die Pi_2 Konsequenzen der Theorie ZFC+BMM+"das nichtstationäre Ideal auf omega_1 ist abschüssig" zu studieren. Viele natürliche Konsequenzen der Theorie ZFC+MM folgen schon aus dieser schwächeren Theorie. Wir geben eine neue Charakterisierung des Axioms Dagger ("Alle Forcings welche stationäre Teilmengen von omega_1 bewahren sind semiproper") in dem wir eine Klasse von L-Forcings isolieren deren Semiproperness äquivalent zu Dagger ist. Wir verallgemeinern ein Resultat von Todorcevic: wir zeigen, dass Rado's Conjecture Dagger impliziert. Des weiteren studieren wir Generizitätsiterationen im Kontext einer messbaren Woodinzahl. Mit diesem Werkzeug erhalten wir eine Verallgemeinerung des Woodinschen Sigma^2_1 Absolutheitstheorems. We review the construction of Jensen's L-forcing which we apply to study the Pi_2 consequences of the theory ZFC + BMM + "the nonstationary ideal on omega_1 is precipitous". Many natural consequences ZFC + MM follow from this weaker theory. We give a new characterization of the axiom dagger ("All stationary set preserving forcings are semiproper") by isolating a class of stationary set preserving L-forcings whose semiproperness is equivalent to dagger. This characterization is used to generalize work of Todorcevic: we show that Rado's Conjecture implies dagger. Furthermore we study genericity iterations beginning with a measurable Woodin cardinal. We obtain a generalization of Woodin's Sigma^2_1 absoluteness theorem

The Political Personality of 2004 Democratic Presidential Candidate John Kerry

This paper presents the results of an indirect assessment of the personality of Sen. John Kerry, Democratic Party nominee in the 2004 U.S. presidential election, from the conceptual perspective of Theodore Millon. Psychodiagnostically relevant information regarding Sen. Kerry was extracted from biographical sources and media reports and synthesized into a personality profile using the second edition of the Millon Inventory of Diagnostic Criteria (MIDC), which yields 34 normal and maladaptive personality classifications congruent with Axis II of DSM–IV. The personality profile yielded by the MIDC was analyzed on the basis of interpretive guidelines provided in the MIDC and Millon Index of Personality Styles manuals. Sen. Kerry’s primary personality pattern was found to be Ambitious/confident, with secondary features of the Dominant/asserting and Dauntless/adventurous patterns. The amalgam of Ambitious and Dominant patterns in Sen. Kerry’s profile suggests the presence of an adaptive, nonpathological variant of Millon’s elitist narcissist syndrome. According to Millon, people with this personality composite feel privileged and empowered by virtue of their special childhood status, cultivate special status and advantages by association, are upwardly mobile, seek the good life, and tend to lay claim to greater accomplishment in life than is borne out by their actual achievements. The major implication of the study is that it offers an empirically based personological framework for evaluating conflicting claims about John Kerry’s integrity and candor, thus providing a basis for inferring his character as a presidential candidate

Forcing and the Universe of Sets: Must we lose insight?

A central area of current philosophical debate in the foundations of mathematics concerns whether or not there is a single, maximal, universe of set theory. Universists maintain that there is such a universe, while Multiversists argue that there are many universes, no one of which is ontologically privileged. Often forcing constructions that add subsets to models are cited as evidence in favour of the latter. This paper informs this debate by analysing ways the Universist might interpret this discourse that seems to necessitate the addition of subsets to $V$. We argue that despite the prima facie incoherence of such talk for the Universist, she nonetheless has reason to try and provide interpretation of this discourse. We analyse extant interpretations of such talk, and argue that while tradeoffs in naturality have to be made, they are not too severe

Narcissistic rage and neoliberal reproduction

Combining political economy and depth psychology, this article seeks to elucidate the socio-psychical underpinnings of neoliberalism’s resilience following the global financial crisis. In explicating neoliberalism’s reproduction, the analysis employs self psychologist Heinz Kohut’s theorisation of narcissistic development. Kohut conceives narcissism as a normal condition driving self-formation, but claims that obstructions in its development result in impaired self-esteem and self-confidence, a lack of empathy and aggression against others and the self. The article argues that neoliberalism fosters and is reinforced by narcissistic configurations that impede the attainment of a more stable sense of self. The inability to attain narcissistic fulfilment through neoliberal sociality contributes to defensive and compensatory reactions that entrench neoliberalism’s logic and, through economic performativity, manifest in what Kohut termed narcissistic rage. As an exemplar of this phenomenon, the article examines the emergence of popular neoliberalism in the form of the Tea Party

Forcing and the Universe of Sets: Must we lose insight?

A central area of current philosophical debate in the foundations of mathematics concerns whether or not there is a single, maximal, universe of set theory. Universists maintain that there is such a universe, while Multiversists argue that there are many universes, no one of which is ontologically privileged. Often forcing constructions that add subsets to models are cited as evidence in favour of the latter. This paper informs this debate by analysing ways the Universist might interpret this discourse that seems to necessitate the addition of subsets to $V$. We argue that despite the prima facie incoherence of such talk for the Universist, she nonetheless has reason to try and provide interpretation of this discourse. We analyse extant interpretations of such talk, and argue that while tradeoffs in naturality have to be made, they are not too severe

Forcing and the Universe of Sets: Must we lose insight?

A central area of current philosophical debate in the foundations of mathematics concerns whether or not there is a single, maximal, universe of set theory. Universists maintain that there is such a universe, while Multiversists argue that there are many universes, no one of which is ontologically privileged. Often forcing constructions that add subsets to models are cited as evidence in favour of the latter. This paper informs this debate by analysing ways the Universist might interpret this discourse that seems to necessitate the addition of subsets to $V$. We argue that despite the prima facie incoherence of such talk for the Universist, she nonetheless has reason to try and provide interpretation of this discourse. We analyse extant interpretations of such talk, and argue that while tradeoffs in naturality have to be made, they are not too severe

Perfectionism and the role of self-esteem

Over the past two decades, research interest has peaked in the specific study of perfectionism as a trait and risk factor for psychopathology, namely depression. This current study hypothesized that perfectionism\u27s impact on an individual\u27s mental health is mediated by that individual\u27s feelings of self-esteem. Research by Preusser, Rice, and Ashby (1994) and Rice, Ashby, and Slaney (1998) have noted evidence for this mediational relationship of self-esteem between perfectionism and depression. Using a sample of 189 undergraduate student volunteers (64 men and 125 women), results indicated that self-esteem was a significant mediator in the relationships between maladaptive perfectionism and depression, as well as anxiety and general distress. In relation to adaptive perfectionism, self-esteem was not a significant mediator, but may serve as a protective factor against adverse mental health outcomes. Thus, self-esteem appears to represent a critical determinant of perfectionism-related distress

“Bin Laden’s Brain”: The Abrasively Negativistic Personality of Dr. Ayman al-Zawahiri

This paper presents the results of an indirect assessment of the personality of Ayman al-Zawahiri, deputy leader of the al-Qaida terrorist network at the time of the September 11, 2001 terrorist attack on the United States and allegedly chief strategist for al-Qaida operations and personal physician to Osama bin Laden. Al-Zawahiri’s primary personality patterns were found to be Contentious/oppositional and Dominant/controlling, with secondary features of the Dauntless/dissenting and Ambitious/self-serving patterns. The amalgam of Contentious (negativistic, or passive-aggressive) and Dominant (aggressive, or sadistic) patterns in al-Zawahiri’s profile suggests the presence of the “abrasive negativist” syndrome. For these personalities, minor frictions easily exacerbate into major confrontations and power struggles. They are quick to spot inconsistencies in others’ actions or ethical standards and adept at constructing arguments that amplify observed contradictions. They characteristically take the moral high ground, dogmatically and contemptuously expose their antagonists’ perceived hypocrisy, and contemptuously, derisively, and scornfully turn on those who cross their path. The major implication of the study is that it offers an empirically based personological framework for conceptualizing Ayman al-Zawahiri’s antagonistic negativism, single-minded commitment to a cause, inflammatory rhetoric, and forceful persuasiveness — qualities instrumental in Osama bin Laden’s insidious campaign to propagate diabolical enemy images of the West as a catalyst for incubating a political culture contrived to inculcate religious extremism in the Islamic world