This paper appeared in Petrus's reader On Human Persons. It can be downloaded from the third entry down from this one.

This article offers a novel, conservative account of material constitution, one that incorporates sortal essentialism and features a theory of dominant sortals. It avoids coinciding objects, temporal parts, relativizations of identity, mereological essentialism, anti-essentialism, denials of the reality of the objects of our ordinary ontology, and other departures from the metaphysic implicit in ordinary ways of thinking. Defenses of the account against important objections are found in Burke 1997, 2003, and 2004, as well as in the often neglected six paragraphs (...) that conclude section V of this article. (shrink)

Many terminally ill patients perceive themselves to be a burden to loved ones who care for them. The self-perception of being a burden can play a significant role in terminal patients’ decisions to take courses of action, such as ceasing life-sustaining treatment or requesting physician-assisted suicide, that hasten death. I will use the term ‘burden-based decision’ as a shorthand for cases in which a terminal patient’s perception that she is a burden to her loved ones influences her decision to hasten (...) death. When should we view a terminal patient’s inclination to make a burden-based decision to be an ethical problem or a failure of treatment? And when should we view it to be an acceptable response rather than a problem or failure? I argue here that such decisions are acceptable more often than many who write on this topic imply. (shrink)

Charney's dismissal of well-established methods in behavioral genetic research is misguided. He claims that studies of heritability and genetic association depend for their validity on six assumptions, but he cites no sources to support this claim. We explain why none of the six assumptions is strictly necessary for the utility of either method of genetic analysis.

A particular feature of this book is substantial "Stretch and Challenge" material throughout which allows students to develop further.

Dion is a full-bodied man. Theon is that part of him which consists of all of him except his left foot. What becomes of Dion and Theon when Dion’s left foot is amputated? Employing the doctrine of sortal essentialism, I defend a surprising answer last defended by Chrysippus: that Dion survives while the seemingly unscathed Theon perishes. For replies to critics, see my publications of 1997 and (especially) 2004.

In recent years, semiotics has become an innovative theoretical framework in mathematics education. The purpose of this article is to show that semiotics can be used to explain learning as a process of experimenting with and communicating about one's own representations of mathematical problems. As a paradigmatic example, we apply a Peircean semiotic framework to answer the question of how students learned the concept of "distribution" in a statistics course by "diagrammatic reasoning" and by developing "hypostatic abstractions," that is by (...) forming new mathematical objects which can be used as means for communication and further reasoning. Peirce's semiotic terminology is used as an alternative for notions such as modeling, symbolizing, and reification. We will show that it is a precise instrument of analysis with regard to the complexity of learning and of communication in mathematics classroom. (shrink)

I aim to show that there are cases in which an ordinary material object exists intermittently. Afterwards there are a few words about the consequences of acknowledging such cases, but what is of more interest is the route by which the conclusion is reached. When deciding among competing descriptions of the cases considered, I have tried to reduce to a minimum the role of intuitive judgment, and I have based several arguments on "metaphysical principles," two of which I have defended.

Emmanuel Levinas is one of the most important figures of twentieth-century philosophy. Exerting a profound influence upon such thinkers as Derrida, Lyotard, Blanchot, and Irigaray, Levinas's work bridges several major gaps in the evolution of continental philosophy -- between modern and postmodern, phenomenology and poststructuralism, ethics and ontology. He is credited with having spurred a revitalized interest in ethics-based philosophy throughout Europe and America. _Entre Nous_ is the culmination of Levinas's philosophy. Published in France a few years before his death, (...) it gathers his most important work and reveals the development of his thought over nearly forty years of committed inquiry. Along with several trenchant interviews published here, these essays engage with issues of suffering, love, religion, culture, justice, human rights, and legal theory. Taken together, they constitute a key to Levinas's ideas on the ethical dimensions of otherness. Working from the phenomenological method of Edmund Husserl and Martin Heidegger, Levinas pushed beyond the limits of their framework to argue that it is ethics, not ontology, that orients philosophy, and that responsibility precedes reasoning. Ethics for Levinas means responsibility in relation to difference. Throughout his work, Levinas returns to the metaphor of the face of the other to discuss how and where responsibility enters our lives and makes philosophy necessary. For Levinas, ethics begins with our face to face interaction with another person -- seeing that person not as a reflection of one's self, nor as a threat, but as different and greater than self. Levinas moves the reader to recognize the implications of this interaction: our abiding responsibility for the other, and our concern with the other's suffering and death. Situated at the crossroads of several philosophical schools and approaches, Levinas's work illuminates a host of critical issues and has found resonances among students and scholars of literature, law, religion, and politics. _Entre Nous_ is at once the apotheosis of his work and an accessible introduction to it. In the end, Levinas's urgent meditations upon the face of the other suggest a new foundation upon which to grasp the nature of good and evil in the tangled skein of our lives. (shrink)

On the most popular account of material constitution, it is common for a material object to coincide precisely with one or more other material objects, ones that are composed of just the same matter but differ from it in sort. I argue that there is nothing that could ground the alleged difference in sort and that the account must be rejected.

In this paper, I offer a novel, conservative solution to the puzzle of Tibbles the cat. I do not criticize the existing solutions or the theories within which they are embedded. I am content to offer an alternative, one that relies on the recently resurgent doctrine of Aristotelian essentialism. My solution, unlike some of its competitors, is applicable to the full range of cases in which, as with Tib and Tibbles, there is the threat of coinciding objects. In section 1, (...) I present the solution. In sections II-IV, I defend it against four objections. (shrink)

Abductive reasoning takes place in forming``hypotheses'''' in order to explain ``facts.'''' Thus, theconcept of abduction promises an understanding ofcreativity in science and learning. It raises,however, also a lot of problems. Some of them will bediscussed in this paper. After analyzing thedifference between induction and abduction (1), Ishall discuss Peirce''s claim that there is a ``logic''''of abduction (2). The thesis is that this claim can beunderstood, if we make a clear distinction between inferential elements and perceptive elements of abductive reasoning. For (...) Peirce, the creative act offorming explanatory hypotheses and the emergence of``new ideas'''' belongs exclusively to the perceptive side of abduction. Thus, it is necessary to study the roleof perception in abductive reasoning (3). A furtherproblem is the question whether there is arelationship between abduction and Peirce''s concept of``theorematic reasoning'''' in mathematics (4). Both forms of reasoning could be connected, because both arebased on perception. The last problem concerns therole of instincts in explaining the success ofabductive reasoning in science, and the question whether the concept of instinct might be replaced bymethods of inquiry (5). (shrink)

Over the last two or three decades, puzzles concerning vagueness, identity, and material constitution have led an increasing number of ontologists to “eliminate” at least some of the objects of folk ontology. In the book here reviewed, Trenton Merricks proposes to eliminate any and all material objects that lack nonredundant causal powers. The objects found lacking include statues, baseballs, planets, and all other inanimate macroscopica, including the masses and conjunctive objects favored by some other eliminativists. The objects found to possess (...) the requisite powers include human persons, who are taken to be human organisms, other conscious organisms, such as dogs and dolphins, and the microscopica of which organisms are composed. Merricks doesn’t assume that there are physical simples. But he does assume that there is at least one level of microscopica, and he uses ‘atoms’ as a convenient term for the microscopica of some unspecified level. As regards organisms that lack consciousness, Merricks is agnostic. (shrink)

Uncovering the historical roots of naturalistic, secular contemporary ethics, in this volume Michael Gill shows how the British moralists of the seventeenth and eighteenth centuries completed a Copernican revolution in moral philosophy. They effected a shift from thinking of morality as independent of human nature to thinking of it as part of human nature itself. He also shows how the British Moralists - sometimes inadvertently, sometimes by design - disengaged ethical thinking, first from distinctly Christian ideas and then from (...) theistic commitments altogether. Examining in detail the arguments of Whichcote, Cudworth, Shaftesbury, and Hutcheson against Calvinist conceptions of original sin and egoistic conceptions of human motivation, Gill also demonstrates how Hume combined the ideas of earlier British moralists with his own insights to produce an account of morality and human nature that undermined some of his predecessors' most deeply held philosophical goals. (shrink)

Why do we formulate arguments? Usually, things such as persuading opponents, finding consensus, and justifying knowledge are listed as functions of arguments. But arguments can also be used to stimulate reflection on one’s own reasoning. Since this cognitive function of arguments should be important to improve the quality of people’s arguments and reasoning, for learning processes, for coping with “wicked problems,” and for the resolution of conflicts, it deserves to be studied in its own right. This contribution develops first steps (...) towards a theory of reflective argumentation. It provides a definition of reflective argumentation, justifies its importance, delineates it from other cognitive functions of argumentation in a new classification of argument functions, and it discusses how reflection on one’s own reasoning can be stimulated by arguments. (shrink)

As a committee of the National Academy of Engineering recognized, ethics education should foster the ability of students to analyze complex decision situations and ill-structured problems. Building on the NAE’s insights, we report about an innovative teaching approach that has two main features: first, it places the emphasis on deliberation and on self-directed, problem-based learning in small groups of students; and second, it focuses on understanding ill-structured problems. The first innovation is motivated by an abundance of scholarly research that supports (...) the value of deliberative learning practices. The second results from a critique of the traditional case-study approach in engineering ethics. A key problem with standard cases is that they are usually described in such a fashion that renders the ethical problem as being too obvious and simplistic. The practitioner, by contrast, may face problems that are ill-structured. In the collaborative learning environment described here, groups of students use interactive and web-based argument visualization software called “AGORA-net: Participate – Deliberate!”. The function of the software is to structure communication and problem solving in small groups. Students are confronted with the task of identifying possible stakeholder positions and reconstructing their legitimacy by constructing justifications for these positions in the form of graphically represented argument maps. The argument maps are then presented in class so that these stakeholder positions and their respective justifications become visible and can be brought into a reasoned dialogue. Argument mapping provides an opportunity for students to collaborate in teams and to develop critical thinking and argumentation skills. (shrink)

Das szenische Verstehen kann mit philosophischen Auffassungen verbunden werden, die dem Menschen eine »szenische Existenzform« zusprechen. Das schließt die Interaktion, v.a. aber die »Konversation« ein, die nach Freuds Vorschlag Ausgangslage aller Theoriebildung ist. Dazu lassen sich die Mittel der Konversationsanalyse nutzen. Die Konversationsanalyse wird mit ihren beiden »Zweigen«, einem sozialwissenschaftlichen und einem linguis­tischen, vorgestellt und an transkribierten Beispielen erläutert. Die Verbindung von szenischem Verstehen und Konversationsanalyse kann das Unbewusste, wie gezeigt wird, um die Dimension der aktuellen Gesprächsdynamik erweitern und damit (...) eine Empirie wissenschaftlich bearbeiten, die anderen, derzeit dominanten empirischen Methoden entgeht. (shrink)

Among the many problems posed by Peirce's concept of abduction is how to determine the scope of this form of inference, and how to distinguish different types of abduction. This problem can be illustrated by taking a look at one of his best known definitions of the term:Abduction is the process of forming an explanatory hypothesis. It is the only logical operation which introduces any new idea; for induction does nothing but determine a value, and deduction merely evolves the necessary (...) consequences of a pure hypothesis.The second half of this quote is not part of the definition, but an explanation of it. However, it adds something to this definition because it says implicitly that there are only three logical.. (shrink)

Discussions concerning belief revision, theorydevelopment, and ``creativity'' in philosophy andAI, reveal a growing interest in Peirce'sconcept of abduction. Peirce introducedabduction in an attempt to providetheoretical dignity and clarification to thedifficult problem of knowledge generation. Hewrote that ``An Abduction is Originary inrespect to being the only kind of argumentwhich starts a new idea'' (Peirce, CP 2.26).These discussions, however, led to considerabledebates about the precise way in which Peirce'sabduction can be used to explain knowledgegeneration (cf. Magnani, 1999; Hoffmann, 1999).The crucial question is (...) that of understandinghow we can get the new elements capableof enlarging our theories. Under thesecircumstances, it might be helpful to step outof the entanglement and reconsider the basis ofthe problem that originally triggered Peirce'sinterest in abduction. This will lead us toanother Peircean concept, that of ``diagrammaticreasoning,'' which I discuss here in the contextof his ``pragmatism.'' In this way, I hope toreach a better understanding of thecontribution of ``abduction'' to the knowledgegeneration process. (shrink)

In the mid-20th century, descriptive meta-ethics addressed a number of central questions, such as whether there is a necessary connection between moral judgment and motivation, whether moral reasons are absolute or relative, and whether moral judgments express attitudes or describe states of affairs. I maintain that much of this work in mid-20th century meta-ethics proceeded on an assumption that there is good reason to question. The assumption was that our ordinary discourse is uniform and determinate enough to vindicate one side (...) or the other of these meta-ethical debates. I suggest that ordinary moral discourse may be much less uniform and determinate than 20th century meta-ethics assumed. (shrink)

In the treatise On the Change of Names (part of his magnum opus, the Allegorical Commentary), Philo of Alexandria brings his figurative exegesis of the Abraham cycle to its fruition. Taking a cue from Platonist interpreters of Homer's Odyssey, Philo reads Moses's story of Abraham as an account of the soul's progress and perfection. Responding to contemporary critics, who mocked Genesis 17 as uninspired, Philo finds instead a hidden philosophical reflection on the ineffability of the transcendent God, the transformation of (...) souls which recognize their mortal nothingness, the possibility of human faith enabled by peerless faithfulness of God, and the fruit of moral perfection: joy divine, prefigured in the birth of Isaac. (shrink)

El objeto de este estudio es analizar un nuevo potencial fragmento de Quaestiones in Exodum en las recientemente descubiertas Homiliae in Psalmos de Orígenes. Para esto, primero sopesaré la evidencia a favor y en contra de una procedencia filónica de latradición citada por Orígenes. A continuación, ofreceré algunas consideraciones léxicas, temáticas y críticas, que sugieren que Orígenes está citando una interpretación filónica de las Quaestiones en lugar de parafrasear el Comentario alegórico.

(The downloadable document, posted 07/23/22, incorporates post-publication corrections/refinements, mainly of section II.) The article gives a novel argument to show that there is sense of 'exists' suitable for posing a substantive issue between presentists and eternalists. It then seeks to invigorate a neglected variety of presentism. There are seven doctrines, widely accepted even among presentists, that create problems for presentism. Without distinguishing existence and being, presentists can comfortably reject all seven. Doing so would dispose of the majority of presentism’s problems. (...) Further, it would enable presentists to reduce A-judgments to B-judgments, thereby insulating presentism from doubts about the intelligibility of A-theories. For reasons indicated very briefly, it might also make presentism less difficult to reconcile with special relativity, though the point is not pursued here. (shrink)

It is hard to see why the head and other brain-containing parts of a person are not themselves persons, or at least thinking, conscious beings. Some theorists have sought to reconcile us to the existence of thinking person-parts. Others have sought to avoid them but have relied on radical theories at odds with the metaphysic implicit in ordinary ways of thinking. This paper offers a novel, conservative solution, one on which the heads and other brain-containing parts of persons do exist (...) but are neither persons, thinkers, nor conscious beings. A much briefer statement of the solution is found in section 5 of Burke 2004. (shrink)

Wicked problems—that is, problems that can be framed in a number of different ways, depending on who is looking at them—pose ethical challenges for professionals that have scarcely been recognized as such. Even though wicked problems are all around us, they are rarely addressed in education. A reason for this failure might be that wicked problems pose almost insurmountable challenges in educational settings. This contribution shows how students can learn to cope with wicked problems in problem-based learning projects that are (...) structured by the Reflect! platform. (shrink)

A crucial problem of conflict management is that whatever happens in negotiations will be interpreted and framed by stakeholders based on their different belief-value systems and world views. This problem will be discussed in the first part of this article as the main cognitive problem of conflict management. The second part develops a general semiotic solution of this problem, based on Charles Peirce's concept of "diagrammatic reasoning." The basic idea is that by representing one 's thought in diagrams, the conditions (...) that determine interpretations can become visible, we can "experiment" with them, and we can change them eventually. The third part, finally, focuses on a concrete tool, called Logical Argument Mapping , that can be used in conflict management to perform such diagrammatic reasoning and to cope with the cognitive problems discussed in the first part. The Israeli-Palestinian conflict on the sovereignty over Jerusalem will be used as an example to show how LAM could work in practice. (shrink)

An engaging account of how Shaftesbury revolutionized Western philosophy At the turn of the eighteenth century, Anthony Ashley Cooper, the third Earl of Shaftesbury, developed the first comprehensive philosophy of beauty to be written in English. It revolutionized Western philosophy. In A Philosophy of Beauty, Michael Gill presents an engaging account of how Shaftesbury’s thought profoundly shaped modern ideas of nature, religion, morality, and art—and why, despite its long neglect, it remains compelling today. Before Shaftesbury’s magnum opus, Charactersticks of (...) Men, Manners, Opinions, Times, it was common to see wilderness as ugly, to associate religion with fear and morality with unpleasant restriction, and to dismiss art as trivial or even corrupting. But Shaftesbury argued that nature, religion, virtue, and art can all be truly beautiful, and that cherishing and cultivating beauty is what makes life worth living. And, as Gill shows, this view had a huge impact on the development of natural religion, moral sense theory, aesthetics, and environmentalism. Combining captivating historical details and flashes of humor, A Philosophy of Beauty not only rediscovers and illuminates a fascinating philosopher but also offers an inspiring reflection about the role beauty can play in our lives. (shrink)

Most of the epistemological debate on disagreement tries to develop standards that describe which actions or beliefs would be rational under specific circumstances in a controversy. To build things on a firm foundation, much work starts from certain idealizations—for example the assumption that parties in a disagreement share all the evidence that is relevant and are equal with regard to their abilities and dispositions. This contribution, by contrast, focuses on a different question and takes a different route. The question is: (...) What should people actually do who find themselves in deep disagreement with others? And instead of building theory on some “firm foundation,” the paper starts from a specific goal—building consensus by creating new proposals—and asks, first, which actions are suitable to achieve this goal and, second, what are the epistemic conditions of these actions. With regard to the latter, the paper focuses on what has been called framing and reframing in conflict research, and argues that both metaphors need and deserve a suitable epistemological conceptualization. (shrink)

One of the most significant disputes in early modern philosophy was between the moral rationalists and the moral sentimentalists. The moral rationalists — such as Ralph Cudworth, Samuel Clarke and John Balguy — held that morality originated in reason alone. The moral sentimentalists — such as Anthony Ashley Cooper, the third Earl of Shaftesbury, Francis Hutcheson and David Hume — held that morality originated at least partly in sentiment. In addition to arguments, the rationalists and sentimentalists developed rich analogies. The (...) most significant analogy the rationalists developed was between morality and mathematics. The most significant analogy the sentimentalists developed was between morality and beauty. These two analogies illustrate well the main ideas, underlying insights, and accounts of moral phenomenology the two positions have to offer. An examination of the two analogies will thus serve as a useful introduction to the debate between moral rationalism and moral sentimentalism as a whole. (shrink)

The primary goal of this chapter is to present a new method—called Logical Argument Mapping —for the analysis of framing processes as they occur in any communication, but especially in conflicts. I start with a distinction between boundary setting, meaning construction, and sensemaking as three forms or aspects of framing, and argue that crucial for the resolution of frame-based controversies is our ability to deal with those “webs” of mutually supporting beliefs that determine sensemaking processes. Since any analysis of framing (...) in conflicts and communication is itself influenced by sensemaking—there is no “frame-neutrality”—the main problem for an analyst is to cope with his or her own cognitive limitations. LAM offers a solution to this problem. The method will be exemplified with an analysis of two conflicting interpretations of how the international community should deal with Hamas after its election victory in 2006. (shrink)

Dion is a full-bodied man. Theon is that part of him which consists of all of him except his left foot. What becomes of Dion and Theon when Dion’s left foot is amputated? In Burke 1994, employing the doctrine of sortal essentialism, I defended a surprising position last defended by Chrysippus: that Dion survives while the seemingly unscathed Theon perishes. This paper defends that position against objections by Stone, Carter, Olson, and others. Most notably, it offers a novel, conservative solution (...) to the many-thinkers problem, a solution that enables us to accept the existence of brain-containing person-parts while denying that those person-parts are thinking, conscious beings. (shrink)

Technology is not only an object of philosophical reflection but also something that can change this reflection. This paper discusses the potential of computer-supported argument visualization tools for coping with the complexity of philosophical arguments. I will show, in particular, how the interactive and web-based argument mapping software “AGORA-net” can change the practice of philosophical reflection, communication, and collaboration. AGORA-net allows the graphical representation of complex argumentations in logical form and the synchronous and asynchronous collaboration on those “argument maps” on (...) the internet. Web-based argument mapping can overcome limits of space, time, and access, and it can empower users from all over the world to clarify their reasoning and to participate in deliberation and debate. Collaborative and web-based argument mapping tools such as AGORA-net can change the practice of arguing in two dimensions. First, arguing on web-based argument maps in both collaborative and adversarial form can lead to a fundamental shift in the way arguments are produced and debated. It can provide an alternative to the traditional four-step process of writing, publishing, debating, and responding in new writing with its clear distinction between individual and social activities by a process in which these four steps happen virtually simultaneously, and individual and social activities become more closely intertwined. Second, by replacing the linear form of arguments through graphical representations of networks of inferential relations which can grow over time in an infinite space, these tools do not only allow a clear visualization of structures and relations, but also forms of collaboration in which, for example, participants work on different “construction zones” of larger argument maps, or debates are performed at specific points of disagreement on those maps. I introduce the term synergetic logosymphysis to describe a practice that combines these two dimensions of collaborative- and web-based argument mapping. (shrink)

A large body of research in cognitive science differentiates human reasoning into two types: fast, intuitive, and emotional “System 1” thinking, and slower, more reflective “System 2” reasoning. According to this research, human reasoning is by default fast and intuitive, but that means that it is prone to error and biases that cloud our judgments and decision making. To improve the quality of reasoning, critical thinking education should develop strategies to slow it down and to become more reflective. The goal (...) of such education should be to enable and motivate students to identify weaknesses, gaps, biases, and limiting perspectives in their own reasoning and to correct them. This contribution discusses how this goal could be achieved with regard to reasoning that involves the construction of arguments; or more precisely: how computer-supported argument visualization tools could be designed that support reflection on the quality of arguments and their improvement. Three types of CSAV approaches are distinguished that focus on reflection and self-correcting reasoning. The first one is to trigger reflection by confronting the user with specific questions that direct attention to critical points. The second approach uses templates that, on the one hand, provide a particular structure to reason about an issue by means of arguments and, on the other, include prompts to enter specific items. And a third approach is realized in specifically designed user guidance that attempts to trigger reflection and self-correction. These types of approaches are currently realized only in very few CSAV tools. In order to inform the future development of what I call reflection tools, this article discusses the potential and limitations of these types and tools with regard to five explanations of the observation that students hardly ever engage in substantial revisions of what they wrote: a lack of strategies how to do it; cognitive overload; certain epistemic beliefs; myside bias; and over-confidence in the quality of one’s own reasoning. The question is: To what degree can each of the CSAV approaches and tools address these five potential obstacles to reflection and self-correction? (shrink)

An argumentative passage that might appear to be an instance of denying the antecedent will generally admit of an alternative interpretation, one on which the conditional contained by the passage is a preface to the argument rather than a premise of it. On this interpretation. which generally is a more charitable one, the conditional plays a certain dialectical role and, in some cases, a rhetorical role as well. Assuming only a very weak principle of exigetical charity, I consider what it (...) would take to justify the less charitable interpretation. I then present evidence that those conditions are seldom met. Indeed, I was unable to find a single published argument that can justifiably be charged with denying the antecedent. (shrink)

This essay is a critical response to Loren Lomasky's essay in this volume: The essay argues that Lomasky both overestimates the value of eating meat and underestimates the harms to animals of practices surrounding meat eating. While Lomasky takes the fact that an animal would not have lived at all if it were not being raised for food to constitute a benefit for animals being so raised, this essay argues that it would be better for animals raised on factory farms (...) to have never been born. It also contends that Lomasky overstates his case regarding the benefits of meat eating for human well-being. While gastronomic experiences can enrich our lives, it would be a mistake to think that meat eating is indispensable to the enrichment of our lives; one canexperience the flourishing of eating well without eating animals. (shrink)

In the first part of this paper, I delineate Peirce's general concept of diagrammatic reasoning from other usages of the term that focus either on diagrammatic systems as developed in logic and AI or on reasoning with mental models. The main function of Peirce's form of diagrammatic reasoning is to facilitate individual or social thinking processes in situations that are too complex to be coped with exclusively by internal cognitive means. I provide a diagrammatic definition of diagrammatic reasoning that emphasizes (...) the construction of, and experimentation with, external representations based on the rules and conventions of a chosen representation system. The second part starts with a summary of empirical research regarding cognitive effects of working with diagrams and a critique of approaches that use “mental models” to explain those effects. The main focus of this section is, however, to elaborate the idea that diagrammatic reasoning should be conceptualized as a case of “distributed cognition.” Using the mathematics lesson described by Plato in his Meno, I analyze those cognitive conditions of diagrammatic reasoning that are relevant in this case. (shrink)