Towards a New Epistemology of Mathematics

In this introduction we discuss the motivation behind the workshop “Towards a New Epistemology of Mathematics” of which this special issue constitutes the proceedings. We elaborate on historical and empirical aspects of the desired new epistemology, connect it to the public image of mathematics, and give a summary and an introduction to the contributions to this issue.

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Are There Stable Factors in Preadolescent Girls’ Externalizing Behaviors?

Relatively little is known about the factor structure of disruptive behavior among preadolescent girls. The present study reports on exploratory and confirmatory factor analyses of disruptive girl behavior over four successive data waves as rated by parents and teachers in a large, representative community sample of girls (N = 2,451). Five factors were identified from parent ratings (oppositional behavior/conduct problems, inattention, hyperactivity/impulsivity, relational aggression, and callous-unemotional behaviors), and four factors were identified derived from teacher ratings (oppositional behavior/conduct problems/callous-unemotional behaviors, inattention, hyperactivityimpulsivity, and relational aggression). There was a high degree of consistency of items loading on equivalent factors across parent and teacher ratings. Year-to-year stability of factors between ages five and 12 was high for parent ratings (ICC = 0.70 to 0.88), and slightly lower for teacher ratings (ICC = 0.56 to 0.83). These findings are discussed in terms of possible adjustment to the criteria for children's disruptive behavior disorders found in the Diagnostic and Statistical Manual for Mental Disorders.

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Husserl’s philosophy of mathematics: its origin and relevance

This paper offers an exposition of Husserl's mature philosophy of mathematics, expounded for the first time in Logische Untersuchungen and maintained without any essential change throughout the rest of his life. It is shown that Husserl's views on mathematics were strongly influenced by Riemann, and had clear affinities with the much later Bourbaki school.

Replies to commentators on <Emphasis Type="Italic">A Virtue Epistemology</Emphasis> (Oxford University Press, 2007)

Paul Boghossian discusses critically my account of intuition as a source of epistemic status. Stewart Cohen takes up my views on skepticism, on dreams, and on epistemic competence and competences and their relation to human knowledge. Hilary Kornblith focuses on my animal/reflective distinction, and, along with Cohen, on my comparison between how dreams might mislead us and how other bad epistemic contexts can do so. In this paper I offer replies to my three critics.

Remarks on Smalligan Marusic’s Comments

The author defends attributing to Berkeley the thesis that we can't conceive of extension in a mind-independent body against criticism from Smalligan Marusic. The author also specifies the resemblance requirements that Berkeley places on conceivability, concedes that the principle that ideas can only be like other ideas is not, strictly speaking, a premise in the Master Argument, and clarifies his views on the relation between possibility and conceivability.

Die Geschichte der „Stellungnahme zur psychoanalytischen Therapie“

Ohne Zusammenfassung

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Bootstrapping and knowledge of reliability

This is a critical discussion of a paper on the problem of bootstrapping by Jose Zalabardo.

Visualizations in Mathematics

In this paper we discuss visualizations in mathematics from a historical and didactical perspective. We consider historical debates from the 17th and 19th centuries regarding the role of intuition and visualizations in mathematics. We also consider the problem of what a visualization in mathematical learning can achieve. In an empirical study we investigate what mathematical conclusions university students made on the basis of a visualization. We emphasize that a visualization in mathematics should always be considered in its proper context.

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Carl Friedrich von Weizsäcker

Ohne Zusammenfassung

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Holding One’s Own

There is a tension with regard to regulative norms of inquiry. One’s commitments must survive critical scrutiny, and if they do not survive, they should be revised. Alternately, for views to be adequately articulated and defended, their proponents must maintain a strong commitment to the views in question. A solution is proposed with the notion of holding one’s own as the virtue of being reason-responsive with the prospects of improving the view in question.

Rawls and Ricoeur: Converging Notions of Empowerment to Justice

Empowerment is a key word in Catherine Audard’s new book on Rawls and a central characteristic of Rawls’ approach to justice. A very different “hermeneutic” approach to justice is presented by Paul Ricoeur, the French philosopher and theologian who, against the background of his own work, examined Rawls’ views in several publications. This essay compares the two views and defends the proposition that empowerment is the common denominator. The author suggests that Rawls would not have objected to including some of Ricoeur’s ideas in the past-principle stage of his Theory.

A Response to Monica Mookherjee

This response discusses Mookherjee’s views on plural autonomy and autonomy-promoting education, and her recognition that different cultural value systems can lead to varied responses and strategies across cultures. It considers mechanisms to counter forced marriage and argues from the standpoint of grassroots work within the Muslim community for the importance of the distinction between traditional culture and religion. It raises the issues of racism, islamophobia, and stereotyping in silencing Muslim women’s voices and reducing the space for them to argue for change within communities.

Aktuelle Probleme der Krankenhausplanung in der Psychosomatischen Medizin und Psychotherapie

Ohne Zusammenfassung

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Foot and Aristotle on Virtues and Flourishing

This article compares the views of Foot and Aristotle on virtues and flourishing. It is argued that the view put forward in Philippa Foot’s recent book, Natural Goodness, suffers from a certain sort of vagueness and it is open to other criticisms which the Aristotelian view can avoid. Foot’s views have been subjected to criticism in the recent literature by David Copp and David Sobel. These criticisms are given consideration in the article and it is argued that the more traditional Aristotelian view advocated by the author will have the means to answer some of these criticisms whereas Foot’s view will not.

The many minds account of vagueness

This paper presents an new epistemicist account of vagueness, one that avoids standard arbitrariness worries by exploiting a plenitudinous metaphysic.

Seeing Through Technology

In examining representations of cities, disease, and human biology, this paper reflects on what technologies reveal of the conditions to which they’re turned.

Interpreting Neurath’s Protocols. Reply to Nottelmann

This paper responds to a recent criticism of Uebel's analysis of Neurath's protocol statements and proposes some independent amendments.

Attunement in the Modern Age

This contribution starts from Max Scheler’s claim that modern philosophy holds two differing views on feelings. The first view, which Scheler attributes to René Descartes, presents them in their intentional role but rejects their independence; the other view, which Scheler attributes to Immanuel Kant, holds that they cannot be reduced to the rational part of the soul and thus affirms their independence, but deprives them of all cognitive powers. After considering both views, I discuss the views of Franz Brentano and Edmund Husserl. Husserl takes an ambivalent approach to attunement, which opens the possibility of understanding Martin Heidegger’s thought of fundamental attunement.