Making a Circle: Tool Use and the Spaces Where We Live

A group of high school students created a drawing of a circle using a device called the Drawing Machine. To describe their experiences, we propose an alternative to the idea that to master a tool one must create a mental version of the tool. We suggest, instead, that as students change their relationships to a tool over time, their lived-in spaces change. Drawing on studies of practice, we explore the roles of past experience, planning, and communication in the development of students' lived-in spaces as they increase their competence with the tool and with the mathematics of drawing a circle.     

Breaking Out of the Circle

What’s wrong with begging the question? Some philosophers believe that question-begging arguments are inevitably fallacious and that their fallaciousness stems from a shared “formal” deficiency. In contrast, some philosophers, like Robinson (Analysis 31:113–117, 1971) deny that begging the question is fallacious at all. And others characterize begging the question as an “informal” fallacy of reasoning that can only be understood with the aid of epistemic (as opposed to syntactic and semantic) notions. Sorensen (Analysis 56:51–55, 1996) joins this last camp by offering a powerful argument against both Robinson’s skepticism and fully formal approaches to the phenomenon. According to Sorensen’s view, question-begging is fallacious because it compromises the rationality of the question-beggar’s position. Though his argument forces Robinson into a peculiar dialectical position, it does little to elucidate the reasons why Robinson’s position is unstable and it fails to embody Sorensen’s own conception of rationally persuasive argumentation. I utilize this conception to show how Robinson is left with no easily identifiable grounds on which to deny the fallaciousness of begging the question. By advancing the dialectic between Sorensen and Robinson, I aim to show that our argumentative practices must take the perspectives of others seriously, whether or not those perspectives are rational.     

Against the new Cartesian Circle

In two recent papers, Michael Della Rocca accuses Descartes of reasoning circularly in the Fourth Meditation. This alleged new circle is distinct from, and more vicious than, the traditional Cartesian Circle arising in the Third Meditation. We explain Della Rocca’s reasons for this accusation, showing that his argument is invalid.     

The Square Circle

This article shows that there are square circles (or equivalently, round squares) in the sense that there are mathematical objects that are at the same time both perfectly circular and perfectly square. The philosophical significance of this is discussed, especially in view of philosophy's widespread use of “square circle” as a typical example of an impossibility. In particular, the focus is on what the existence of square circles means for the possibility of conceptual analysis, and more generally what we can learn about the nature of non‐formal concepts and their use in philosophy.     

Yet Another Run around the Circle

In a recent article, D. A. Truncellito (2004, ‘Running in Circles about Begging the Question’, Argumentation 18, 325–329) argues that the discussion between Robinson (1971, ‘Begging the Question’, Analysis 31, 113–117), Sorensen (1996, ‘Unbeggable Questions’, Analysis 56, 51–55) and Teng (1997, ‘Sorensen on Begging the Question’, Analysis 57, 220–222) shows that we need to distinguish between logical fallacies, which are mistakes in the form of the argument, and rhetorical fallacies, which are mistakes committed by the arguer. While I basically agree with Truncellito’s line of thinking, I believe this distinction is not tenable and offer a different view. In addition, I will argue that the conclusion to draw from the abovementioned discussion is that validity is not a sufficient criterion of begging the question, and that we should be wary of the containment-metaphor of a deductive argument.     

Rawls's Wide View of Public Reason: Not Wide Enough

Res Publica - What sorts of reasons are i) required and ii) morally acceptable when citizens in a pluralist liberal democracy undertake to resolve pressing political issues? This paper presents and...     

Coherence,anti-realism and the Vienna Circle

Some members of the Vienna Circle argued for a coherence theory of truth. Their coherentism is immune to standard objections. Most versions of coherentism are unable to show why a sentence cannot be true even though it fails to cohere with a system of beliefs. That is, it seems that truth may transcend what we can be warranted in believing. If so, truth cannot consist in coherence with a system of beliefs. The Vienna Circle's coherentists held, first, that sentences are warranted by coherence with a system of beliefs. Next they drew upon their verification theory of meaning, a consequence of which is that truth cannot transcend what can be warranted. The coherence theory of knowledge and verificationism together entail that truth cannot transcend what can be warranted by coherence with a system of beliefs. The Vienna Circle's argument for coherentism is strong and anticipates contemporary anti-realism.     

The Couch and the Circle by Hyman Spotnitz

A qualitative study explored the therapeutic elements in psychodynamic group therapy for adolescents with learning disabilities and related psychosocial problems. Four boys and four girls, diagnosed with learning disabilities, were interviewed on completion of group therapy, to obtain their subjective experiences. Therapeutic factors were identified, grouped, and found to be operative through an interpersonal process, termed mutual recognition. Mutual recognition is defined as the adolescents realizing that they saw themselves in the others and that the others saw themselves in the participants. The subcategories were trust, connection, and group issues/process. The subcategories were interactive: they contributed to, and were influenced by, mutual recognition.