Cartesian Views is a fitting tribute to a man of many parts, to use Alison Wylie’s apt description . Richard A. Watson has provoked, evoked, and invoked new directions in Cartesian scholarship—both methodologically and substantively. Watson’s Downfall of Cartesianism and its sequel, The Breakdown of Metaphysics , have become required reading for students of early modern philosophy and are largely responsible for the revival of many “minor” Cartesians, while serving as sourcebook for methodological attention to history and rational reconstruction. (...) Cartesian Views is an important collection that hearkens a forty-year retrospective of Cartesian studies while simultaneously turning our sights to what lies in the future.Although an eclectic collection, each paper in the volume reflects some counterpoint to, advancement of, or commentary upon some aspect, claim, argument, or theme found in Watson’s philosophical works. The opening paper by Nadler questions Watson’s view that dualism and the problem of mind-body interaction was the central issue that stimulated. (shrink)

Cartesian Views is a fitting tribute to a man of many parts, to use Alison Wylie’s apt description . Richard A. Watson has provoked, evoked, and invoked new directions in Cartesian scholarship—both methodologically and substantively. Watson’s Downfall of Cartesianism and its sequel, The Breakdown of Metaphysics , have become required reading for students of early modern philosophy and are largely responsible for the revival of many “minor” Cartesians, while serving as sourcebook for methodological attention to history and rational reconstruction. (...) Cartesian Views is an important collection that hearkens a forty-year retrospective of Cartesian studies while simultaneously turning our sights to what lies in the future.Although an eclectic collection, each paper in the volume reflects some counterpoint to, advancement of, or commentary upon some aspect, claim, argument, or theme found in Watson’s philosophical works. The opening paper by Nadler questions Watson’s view that dualism and the problem of mind-body interaction was the central issue that stimulated. (shrink)

Linguists, biological anthropologists, and cognitive scientists come together in this book to explore the origins and early evolution of phonology, syntax, and semantics. They consider the nature of pre- and proto-linguistic communication, the internal and external triggers that led to its transformation into language, and whether and how language may be considered to have evolved after its inception. Evidence is drawn from many domains, including computer simulations of language emergence, the songs of finches, problem-solving abilities in monkeys, sign language, and (...) the structure of languages today. (shrink)

Standpoint theory is an explicitly political as well as social epistemology. It’s distinctive features are commitment to understand the social locations that shape the epistemic capacities and resources of individuals in structural terms, and a recognition that those who are marginalized within hierarchically structured systems of social differentiation are often epistemically advantaged. In some crucial domains they know more and know better as a contingent function of their situated experience and knowledge. This “inversion thesis” counters the alignment of social with (...) epistemic privilege. (shrink)

The Cognitive Reflection Test is purported to test our inclination to overcome impulsive, intuitive thought with effortful, rational reflection. Research suggests that philosophers tend to perform better on this test than non-philosophers, and that men tend to perform better than women. Taken together, these findings could be interpreted as partially explaining the gender gap that exists in Philosophy: there are fewer women in Philosophy because women are less likely to possess the ideal ‘philosophical personality’. If this explanation for the gender (...) gap in Philosophy is accepted, it might be seen to exonerate Philosophy departments of the need to put in place much-needed strategies for promoting gender diversity. This paper discusses a number of reasons for thinking that this would be the wrong conclusion to draw from the research. Firstly, the CRT may not track what it is claimed it tracks. Secondly, the trait tracked by the CRT may not be something that we should value in philosophers. Thirdly, even if we accept that the CRT tracks a trait that has value, this trait might be of limited importance to good philosophising. Lastly, the causal story linking the gender gap in CRT score and the gender gap in Philosophy is likely to be far more complex than this explanation implies. (shrink)

ABSTRACT Autonomy may be used to justify free speech claims where the right is raised against the state but also to justify state intervention intended to promote autonomy which may entail restraints on others' speech. The appeal to diversity and autonomy may be used by both sides of the pornography and censorship debate. Although autonomy may be invoked in defence of pornography as part of the general defence of free speech, it is argued that autonomy favours the regulation of pornography. (...) The ‘free speech’defence of pornography is critically examined here and an alternative argument advanced for regulation. (shrink)

Descartes's claim that the eternal truths were freely created by God is fraught with interpretive difficulties. The main arguments in the literature are classified as concerning the ontological status or the modalities of possibility and necessity of the eternal truths. The views of the principal defenders of the Creation Doctrine – Robert Desgabets, Pierre Sylvain Régis, and Antoine Le Grand are contrasted with those of Nicolas Malebranche. In clarifying the theological, ontological, and logical terms of the debate we can see (...) that what was at stake was the objectivity and certainty of the truths of mathematics and physics. I conclude by suggesting that this issue might fruitfully be used to clarify the disparate discussions in the contemporary literature. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Journal of the History of Philosophy 41.4 (2003) 559-560 [Access article in PDF] Elmar J. Kremer and Michael J. Latzer, editors. The Problem of Evil in Early Modern Philosophy. Toronto: University of Toronto Press, 2001. Pp. vi + 179. Cloth, $60.00. What can be added to classical defenses of the problem of evil? Did Voltairenotrelieve us from taking seriously the theodicies of early modern thinkers in Candide when Pangloss (...) avers that spectacles exist because noses were made to support them? Do we not rightfully regard Malebranche's ingenious appeal to God's simplicity and uniformity to explain malformed offspring as little more than a curiosity? Yet, the editors of this volume claim that the "theodicy problem was no mere idle puzzle of dogmatics, but a problem of immense social significance, a problem which cut to the heart of the philosophical and theological projects of the very best minds of the age" (5). Several essays in this volume bear out the editors' claim, and to a modern reader, show how the problem of evil was intricately woven into the philosophical ideas of early modern thought.The problem of evil is especially acute for many of the seventeenth-century authors surveyed in this volume who held that God is the total and efficient cause of the universe. God's constant involvement in physical events meant that defects, deformities, and natural disasters fell into the framework of the traditional problem of evil. Hence, physical evil became the preoccupation of natural philosophers and theologians alike. We learn that Leibniz, Malebranche, and Spinoza chose to limit God's will rather than His wisdom, whereas Descartes opted to limit God's wisdom. The odd man out is Bayle who crafted a third position that emphasized God's benevolence at the expense of His wisdom and will.The essays found in this volume are just a sampling of views in the period, but it is more than a good start. Freddoso's essay on Francisco Suarez sets the tone for the problem of explaining the causal origin of human evil. Freddoso shows how Suarez distinguished concurrent from original causes in order to credit God for His supreme causal role yet absolved Him of blame for the existence of moral defectiveness. Latzer, in his essay on Rene Descartes, perhaps overstates the case in attributing to Descartes a theodicy grander than that of Leibniz, but he draws on the Fourth Meditation account of error to provide a plausible and nuanced reconstruction of his views on evil.There are two essays on Baruch Spinoza. Hunter's essay lays out an argument for Spinoza as a radical Christian reformer touching on Spinoza's views on providence. Nadler notes in his essay that Spinoza ought to have rejected the whole question of theodicy as incoherent, but shows how the matter is a good deal more complicated. Nadler then introduces us to the Medieval Jewish tradition, from which Spinoza is said to have drawn his views leading to a denial of personal immortality. [End Page 559]Moreau's essay on Nicholas Malebranche is rich in historical context and philosophical interpretation. Malebranche is shown to be a critical and original thinker on the problem of evil. Moreau lauds Malebranche's philosophical and moral courage in his bold assertion that physical evil is not a negation but rather a real phenomenon requiring explanation.Larivière and Lennon argue that Bayle held a third position rarely seen in the period: that God's benevolence trumps considerations of both His wisdom and will. Bayle develops a "moral solution" to the problem of evil wherein God's benevolence requires that humans possess an autonomy of conscience whose exercise makes error and heresy morally possible and justifiable.The final three essays in the volume rightly focus on aspects of Leibniz's response to the problem of evil. Kremer shows how, in the case of Leibniz's treatment of the fate of infants who die unbaptized, Leibniz abandons the Augustinian approach to the problem of evil and calculates the fate of all creatures on the basis of what produces... (shrink)

Recently, the theory theory has led to much interesting research. However, this is the first book to look at the theory in extensive detail and to systematically contrast it with other theories.

If states are permitted to create and maintain a military force, by what means are they permitted to do so? This paper argues that a theory of just recruitment should incorporate a concern for moral risk. Since the military is a morally risky profession for its members, recruitment policies should be evaluated in terms of how they distribute moral risk within a community. We show how common military recruitment practices exacerbate and concentrate moral risk exposure, using the UK as a (...) case study. We argue that the British state wrongs its citizens by subjecting them to excessively morally risky recruitment practices. Since, we argue, this risk exposure cannot be justified by appealing to the benefits of a military career for recruits, our argument calls for reform of existing practices. Our method of evaluation is generalizable and thus can be used to assess other states’ practices. (shrink)

I argue that understanding why p involves a kind of intellectual know how and differsfrom both knowledge that p and knowledge why p (as they are standardly understood).I argue that understanding, in this sense, is valuable.

We propose that children employ specialized cognitive systems that allow them to recover an accurate “causal map” of the world: an abstract, coherent, learned representation of the causal relations among events. This kind of knowledge can be perspicuously understood in terms of the formalism of directed graphical causal models, or “Bayes nets”. Children’s causal learning and inference may involve computations similar to those for learning causal Bayes nets and for predicting with them. Experimental results suggest that 2- to 4-year-old children (...) construct new causal maps and that their learning is consistent with the Bayes net formalism. (shrink)

En las tres últimas décadas del siglo XX, muchos filósofos analíticos han abordado cuestiones de ética práctica, ampliando radicalmente el campo de la filosofía moral más allá de los temas metaéticos que habían sido su foco principal durante la mayor parte del siglo. Sin embargo, abordar este tipo de controversias prácticas rápidamente hizo surgir la cuestión de cómo justificar las afirmaciones morales normativas. Muchos filósofos analíticos se basaron en el intuicionismo, que tiene un linaje muy antiguo dentro de la filosofía (...) moral anglófona. Este artículo evalúa tres formas en las que los filósofos analíticos del siglo XX recurrieron a las intuiciones para apoyar o rebatir las afirmaciones morales. Argumentamos que esos métodos fracasaron en su objetivo de promover un conocimiento moral digno de confianza porque se basaron en supuestos que, cuando se presumen en contextos de injusticia epistémica estructural, son sistemáticamente engañosos. A pesar de que las intuiciones se encuentran entre las fuentes de conocimiento en las que los agentes morales deben confiar, la epistemología moral debe prestar especial atención a los procesos sociales a través de los cuales se recogen, refinan y evalúan las intuiciones y otras formas de evidencia. Producir un conocimiento moral digno de confianza requiere procesos de razonamiento democráticos que sean sensibles a la omnipresencia de la injusticia epistémica y la dominación, así como desarrollar estrategias para contrarrestarlas. (shrink)

Court cases involving sexual assault and police violence rely heavily on victim testimony. We consider what we call the “Traumatic Untrustworthiness Argument (TUA)” according to which we should be skeptical about victim testimony because people are particularly liable to misremember traumatic events. The TUA is not obviously based in mere distrust of women, people of color, disabled people, poor people, etc. Rather, it seeks to justify skepticism on epistemic and empirical grounds. We consider how the TUA might appeal to the (...) psychology and neuroscience of memory for empirical support. However, we argue that neither support the TUA. (shrink)

Recent exciting work on Cavendish’s natural philosophy highlights the important role of motion in her system. But what is motion, according to Cavendish? I argue that motion, for Cavendish, is what I call ‘compositional motion’: for a body to be in motion is just for it to divide from some matter and join with other matter. So when Cavendish claims to reduce all natural change to motion, she is really reducing all natural change to mereological change. Cavendish also uses ‘motion’ (...) to name the power that matter has to set itself in compositional motion. That power is not reducible to local motion. If motion is not local motion and if motive power is not a function of actual motion, then despite her polemics, Cavendish does not reduce natural change to local motion. Instead, she offers a unique and exciting account of natural change. (shrink)

Willie James Jennings contends that the goal of whiteness is the creation and preservation of segregated space. For Jennings, whiteness, as well as upholding perceived notions of white normativity, is a way of being in the world, an imagined reality made real by our movement in physical space which destroys the identity-forming connections between communities and land. In this article I bring together Pope Francis’s reflections on the globalised economy in Laudato Si’ with the critiques of James H. Cone and (...) Jennings to demonstrate the horrific harm of whiteness on marginalised people groups and the land itself. To resist the building project of whiteness, therefore, requires attention to our relationship with land. At this point I turn more readily to the land of England, offering the beginnings of a theology of place given the substantial land holdings of the Church of England. I close by asking whether the Church of England can be trusted to use its land to dismantle whiteness given its troubling colonial history in relation to land use. (shrink)

This paper argues that Spinoza does not take extension in space to be a fundamental property of physical things. This means that when Spinoza calls either substance or a mode “an Extended thing”, he does not mean that it is a thing extended in three dimensions. The argument proceeds by showing, first, that Spinoza does not associate extension in space with substance, and second, that finite bodies, or physical things, are not understood through the intellect when they are conceived as (...) extended in space. I conclude by articulating some suggestions about where we should go from here in trying to understand Spinoza’s account of the attribute of extension and of the physical world. (shrink)

We standardly evaluate counterfactuals and abilities in temporally asymmetric terms—by keeping the past fixed and holding the future open. Only future events depend counterfactually on what happens now. Past events do not. Conversely, past events are relevant to what abilities one has now in a way that future events are not. Lewis, Sider and others continue to evaluate counterfactuals and abilities in temporally asymmetric terms, even in cases of backwards time travel. I’ll argue that we need more temporally neutral methods. (...) The past shouldn’t always be held fixed, because backwards time travel requires backwards counterfactual dependence. Future events should sometimes be held fixed, because they’re in the causal history of the past, and agents have evidence of them independently of their decisions now. We need temporally neutral methods to maintain connections between causation, counterfactuals and evidence, and if counterfactuals are used to explain the temporal asymmetry of causation. (shrink)

Understanding causal structure is a central task of human cognition. Causal learning underpins the development of our concepts and categories, our intuitive theories, and our capacities for planning, imagination and inference. During the last few years, there has been an interdisciplinary revolution in our understanding of learning and reasoning: Researchers in philosophy, psychology, and computation have discovered new mechanisms for learning the causal structure of the world. This new work provides a rigorous, formal basis for theory theories of concepts and (...) cognitive development, and moreover, the causal learning mechanisms it has uncovered go dramatically beyond the traditional mechanisms of both nativist theories, such as modularity theories, and empiricist ones, such as association or connectionism. (shrink)

This paper problematises the ways women’s leadership has been understood in relation to male leadership rather than on its own terms. Focusing specifically on ethical leadership, we challenge and politicise the symbolic status of women in leadership by considering the practice of New Zealand Prime Minister Jacinda Ardern. In so doing, we demonstrate how leadership ethics based on feminised ideals such as care and empathy are problematic in their typecasting of women as being simply the other to men. We apply (...) different strategies of mimesis for developing feminist leadership ethics that does not derive from the masculine. This offers a radical vision for leadership that liberates the feminine and women’s subjectivities from the masculine order. It also offers a practical project for changing women’s working lives through relationality, intercorporeality, collective agency and ethical openness with the desire for fundamental political transformation in the ways in which women can lead. (shrink)

This short article argues that an adequate response to the implications for governance raised by ‘Big Data’ requires much more attention to agency and reflexivity than theories of ‘algorithmic power’ have so far allowed. It develops this through two contrasting examples: the sociological study of social actors used of analytics to meet their own social ends and the study of actors’ attempts to build an economy of information more open to civic intervention than the existing one. The article concludes with (...) a consideration of the broader norms that might contextualise these empirical studies, and proposes that they can be understood in terms of the notion of voice, although the practical implementation of voice as a norm means that voice must sometimes be considered via the notion of transparency. (shrink)

Though much of what we learn about the world comes from trusting testimony, the status of aesthetic testimony – testimony about aesthetic value – is equivocal. We do listen to art critics but our trust in them is typically only provisional, until we are in a position to make up our own mind. I argue that provisional trust (but not full trust) in testimony typically allows us to develop and use aesthetic understanding (understanding why a work of art is valuable, (...) or similar); and aesthetic understanding is an essential component of aesthetic virtue. Aesthetic virtue is the orientation of a whole person towards aesthetic value and aesthetic reasons, through action, non‐cognitive and cognitive attitudes. The ideal (aesthetically virtuous) way to make aesthetic judgements is through your own aesthetic understanding. (shrink)

COVID-19 has resulted in extraordinary disruptions to the higher education landscape. Here, we provide a brief report on 295 students’ academic perceptions and emotional well-being in late May 2020. Students reported the high levels of uncertainty regarding their academic futures as well as significant levels of stress and difficulty coping with COVID-19 disruptions. These outcomes were related to the higher levels of neuroticism and an external locus of control. Female students reported worse emotional well-being compared to males, and the students (...) of color reported the significantly higher levels of stress and uncertainty regarding their academic futures compared to White students. These results suggest that some students may be at particular risk for academic stress and poor emotional well-being due to the pandemic and highlight the urgent need for intervention and prevention strategies. (shrink)

Causes always seem to come prior to their effects. What might explain this asymmetry? Causation's temporal asymmetry isn't straightforwardly due to a temporal asymmetry in the laws of nature—the laws are, by and large, temporally symmetric. Nor does the asymmetry appear due to an asymmetry in time itself. This Element examines recent empirical attempts to explain the temporal asymmetry of causation: statistical mechanical accounts, agency accounts and fork asymmetry accounts. None of these accounts are complete yet and a full explanation (...) of the temporal asymmetry of causation will likely require contributions from all three programs. (shrink)

There are temporal asymmetries in our attitudes towards the past and future. For example, we judge that a given amount of work is worth twice as much if it is described as taking place in the future, compared to the past :796–801, 2008). Does this temporal value asymmetry support a tensed metaphysics? By getting clear on the asymmetry’s features, I’ll argue that it doesn’t. To support a tensed metaphysics, the value asymmetry would need to not vary with temporal distance, apply (...) equally to events concerning oneself and others, and be rational and judged to be so. But evidence suggests the value asymmetry lacks these features. There are, moreover, independent arguments against its rationality. The asymmetry’s features suggest instead that it arises as an emotion-driven generalisation from a temporal bias concerning our future actions. This explanation points towards mechanisms that can play a role in explaining other instances where we generalise about the past and future, and why we’re tempted towards metaphysical pictures of time. (shrink)

I argue that explanation should be thought of as the phenomenological mark of the operation of a particular kind of cognitive system, the theory-formation system. The theory-formation system operates most clearly in children and scientists but is also part of our everyday cognition. The system is devoted to uncovering the underlying causal structure of the world. Since this process often involves active intervention in the world, in the case of systematic experiment in scientists, and play in children, the cognitive system (...) is accompanied by a theory drive, a motivational system that impels us to interpret new evidence in terms of existing theories and change our theories in the light of new evidence. What we usually think of as explanation is the phenomenological state that accompanies the satisfaction of this drive. However, the relation between the phenomenology and the cognitive system is contingent, as in similar cases of sexual and visual phenomenology. Distinctive explanatory phenomenology may also help us to identify when the theory-formation system is operating. (shrink)

Analysis of online mathematics forums can help reveal how explanation is used by mathematicians; we contend that this use of explanation may help to provide an informal conceptualization of simplicity. We extracted six conjectures from recent philosophical work on the occurrence and characteristics of explanation in mathematics. We then tested these conjectures against a corpus derived from online mathematical discussions. To this end, we employed two techniques, one based on indicator terms, the other on a random sample of comments lacking (...) such indicators. Our findings suggest that explanation is widespread in mathematical practice and that it occurs not only in proofs but also in other mathematical contexts. Our work also provides further evidence for the utility of empirical methods in addressing philosophical problems. (shrink)

Women are currently under-represented in academic philosophy. This paper first considers ways in which the competitive atmosphere of philosophy might help explain this lack of diversity. For example, women are stereotyped as less competitive and as less capable of exhibiting what are considered ‘winning behaviours’ in philosophy, leading to a more stressful, less rewarding experience; lower assessments of merit by themselves and others; and potential under-performance. Second, this paper draws out the implications of this discussion for high school philosophy competitions. (...) Are these competitions likely to further exacerbate existing trends of representation, by associating philosophy with competition and winning? I argue that the way that these philosophy competitions are set up, as friendly, low-stakes team events, rewarding attributes that are ‘stereotypically female’, mean that these events are likely to support, rather than damage, diversity in the discipline. Indeed, there are reasons to think that these events form an important part of an image-change that is required for philosophy if it is to become a more diverse discipline at university-level and beyond. I finish by offering a series of practical recommendations for high school philosophy competitions, in light of the aim of increasing diversity in academic philosophy, but also with the more immediate aim of making these competitions inclusive, enjoyable events for everyone. (shrink)

A Scientific Integrity Consortium developed a set of recommended principles and best practices that can be used broadly across scientific disciplines as a mechanism for consensus on scientific integrity standards and to better equip scientists to operate in a rapidly changing research environment. The two principles that represent the umbrella under which scientific processes should operate are as follows: Foster a culture of integrity in the scientific process. Evidence-based policy interests may have legitimate roles to play in influencing aspects of (...) the research process, but those roles should not interfere with scientific integrity. The nine best practices for instilling scientific integrity in the implementation of these two overarching principles are Require universal training in robust scientific methods, in the use of appropriate experimental design and statistics, and in responsible research practices for scientists at all levels, with the training content regularly updated and presented by qualified scientists. Strengthen scientific integrity oversight and processes throughout the research continuum with a focus on training in ethics and conduct. Encourage reproducibility of research through transparency. Strive to establish open science as the standard operating procedure throughout the scientific enterprise. Develop and implement educational tools to teach communication skills that uphold scientific integrity. Strive to identify ways to further strengthen the peer review process. Encourage scientific journals to publish unanticipated findings that meet standards of quality and scientific integrity. Seek harmonization and implementation among journals of rapid, consistent, and transparent processes for correction and/or retraction of published papers. Design rigorous and comprehensive evaluation criteria that recognize and reward the highest standards of integrity in scientific research. (shrink)

This paper argues that there are powerful similarities between cognitive development in children and scientific theory change. These similarities are best explained by postulating an underlying abstract set of rules and representations that underwrite both types of cognitive abilities. In fact, science may be successful largely because it exploits powerful and flexible cognitive devices that were designed by evolution to facilitate learning in young children. Both science and cognitive development involve abstract, coherent systems of entities and rules, theories. In both (...) cases, theories provide predictions, explanations, and interpretations. In both, theories change in characteristic ways in response to counterevidence. These ideas are illustrated by an account of children's developing understanding of the mind. (shrink)

Reichenbach explains temporally asymmetric phenomena by appeal to entropy and ‘branch structure’. He explains why the entropic gradients of isolated subsystems are oriented towards the future and not the past, and why we have records of the past and not the future, by appeal to the fact that the universe is currently on a long entropic upgrade with subsystems that branch off and become quasi-isolated. Reichenbach’s approach has been criticised for relying too closely on entropy. The more popular approach nowadays (...) is to appeal instead to a particular low-entropy initial state—Albert’s ‘Past Hypothesis’. I’ll argue that this neglect of Reichenbach’s approach is unwarranted. A Reichenbachian account has important advantages over Albert’s: it correctly identifies the minimal temporally asymmetric posit needed to derive key temporally asymmetries and it offers a more adequate account of the record asymmetry. While a Reichenbachian account needs to be supplemented, it provides the right foundations for explaining temporally asymmetric phenomena and what we might ultimately mean by ‘the direction of time’. (shrink)

The purpose of this research is to examine the impact of individual and firm moral philosophies on marketing exchange relationships. Personal moral philosophies range from the extreme forms of true altruists and true egoists, along with three hybrids that represent middle ground. Organizational postures are defined as Ethical Paradigm, Unethical Paradigm, and Neutral Paradigm, which result in changes to personal moral philosophies and company and industry performance. The study context is a simulation of an exchange environment using a variation of (...) the prisoners' dilemma game. A literature review is provided in the opening section, followed by details on the simulation, discussion of the results, and the implications for theory and practice. (shrink)

The empress of Margaret Cavendish’s The Blazing World dismisses pure mathematicians as a waste of her time, and declares of the applied mathematicians that “there [is] neither Truth nor Justice in their Profession”. In Cavendish’s theoretical work, she defends the Empress’ judgments. In this paper, I discuss Cavendish’s arguments against pure and applied mathematics. In Sect. 3, I develop an interpretation of some relevant parts of Cavendish’s metaphysics and epistemology, focusing on her anti-abstractionism and what I call her ’assimilation’ view (...) of knowledge. In Sects. 4 and 5, I use this to develop Cavendish’s critiques of pure and applied mathematics, respectively. These critiques center on the claims that mathematics purports to describe non-beings, that nature is infinitely and irreducibly complex, and, perhaps most originally, that mathematical thinking deforms the subject of representation, not just the object. (shrink)