Accumulating evidence suggests that different magnitudes (e.g., number, size, and duration) are spatialized in the mind according to a common left–right metric, consistent with a generalized system for representing magnitude. A previous study conducted by two of us (Holmes & Lourenco, ) provided evidence that this metric extends to the processing of emotional magnitude, or the intensity of emotion expressed in faces. Recently, however, Pitt and Casasanto () showed that the earlier effects may have been driven by a left–right mapping (...) of mouth size rather than emotional magnitude, and they found no evidence for an emotional magnitude mapping when using words as stimuli. Here, we report two new experiments that further examine these conclusions. In Experiment 1, using face stimuli with mouths occluded, we replicate the original finding: Less emotional faces were associated with the left and more emotional faces with the right. However, we also find that people can reliably infer the sizes of the occluded mouths, and that these inferred mouth sizes can explain the observed left–right mapping. In Experiment 2, we show that comparative judgments of emotional words yield a left–right mapping of emotional magnitude not attributable to stimulus confounds. Based on these findings, we concur with Pitt and Casasanto that faces pose challenges for isolating the forces driving spatialization, but we suggest that emotional magnitude, when assessed using unconfounded stimuli in a sufficiently sensitive task, may indeed be spatialized as originally proposed. Suggestions for further research on the spatialization of emotional magnitude are discussed. (shrink)

Many metaphor theorists argue that our mental experience of time is grounded in our understanding of space, including motion through space. Results from recent experiments – in which people think about motion, which in turn influences their thinking about time – support this position. Still, many questions remain about the nature of the metaphorical connection between time and space. Can the mere suggestion of motion influence how people reason about time, and if so, when and how? Three experiments investigated how (...) thinking about “abstract” motion through sequences of numbers or letters would influence reasoning about time. Our results extend earlier psychological work on the link between time and space by showing that even motion in non-physical domains can influence temporal reasoning. The results provide further evidence that metaphorical understanding is grounded in our everyday physical and conceptual experience. (shrink)

Categories can affect our perception of the world, rendering between-category differences more salient than within-category ones. Across many studies, such categorical perception has been observed for the basic-level categories of one's native language. Other research points to categorical distinctions beyond the basic level, but it does not demonstrate CP for such distinctions. Here we provide such a demonstration. Specifically, we show CP in English speakers for the non-basic distinction between “warm” and “cool” colors, claimed to represent the earliest stage of (...) color lexicon evolution. Notably, the advantage for discriminating colors that straddle the warm–cool boundary was restricted to the right visual field—the same behavioral signature previously observed for basic-level categories. This pattern held in a replication experiment with increased power. Our findings show that categorical distinctions beyond the basic-level repertoire of one's native language are psychologically salient and may be spontaneously accessed during normal perceptual processing. (shrink)

Parts of the body are often embedded in the structure of compound words, such as heartbreak and brainchild. We explored the relationships between the semantics of compounds and their constituent body parts, asking whether these relationships are largely arbitrary or instead reflect deeper metaphorical mappings shared across languages and cultures. In three studies, we found that U.S. English speakers associated the English translation equivalents of Chinese compounds with their constituent body parts at rates well above chance, even for compounds with (...) highly abstract meanings and even when accounting for the semantic relatedness of the compounds and body parts. English speakers in India and Chinese speakers in Hong Kong showed similar intuitions about these associations. Our results suggest that the structure of compound words can provide insight into cross‐culturally shared ways of connecting meaning to the body. (shrink)

Recent research investigating the language–thought interface in the spatial domain points to representations of the horizontal and vertical dimensions that closely resemble those posited by Jeffery et al. However, the findings suggest that such representations, rather than being tied to navigation, may instead reflect more general properties of the perception of space.

Bermúdez persuasively argues that framing effects are not as irrational as commonly supposed. In focusing on the reasoning of individual decision-makers in complex situations, however, he neglects the crucial role of the social-communicative context for eliciting certain framing effects. We contend that many framing effects are best explained in terms of basic, rational principles of discourse processing and pragmatic reasoning.

Philosophy and Kafka is a collection of original essays interrogating the relationship of literature and philosophy. The essays either discuss specific philosophical commentaries on Kafka’s work, consider the possible relevance of certain philosophical outlooks for examining Kafka’s writings, or examine Kafka’s writings in terms of a specific philosophical theme, such as communication and subjectivity, language and meaning, knowledge and truth, the human/animal divide, justice, and freedom.

White matter tracts are known to be susceptible to injury following concussion. The objective of this study was to determine whether contact play in sport could alter white matter metabolite levels in female varsity athletes independent of changes induced by long-term exercise. Metabolite levels were measured by single voxel proton magnetic resonance spectroscopy in the prefrontal white matter at the beginning and end of season in contact and non-contact varsity athletes. Sedentary women were scanned once, at a time equivalent to (...) the Off-Season time point. Metabolite levels in non-contact athletes did not change over a season of play, or differ from age matched sedentary women except that non-contact athletes had a slightly lower myo-inositol level. The contact athletes had lower levels of myo-inositol and glutamate, and higher levels of glutamine compared to both sedentary women and non-contact athletes. Lower levels of myo-inositol in non-contact athletes compared to sedentary women indicates long-term exercise may alter glial cell profiles in these athletes. The metabolite differences observed between contact and non-contact athletes suggest that non-contact athletes should not be used as controls in studies of concussion in high-impact sports because repetitive impacts from physical contact can alter white matter metabolite level profiles. It is imperative to use athletes engaged in the same contact sport as controls to ensure a matched metabolite profile at baseline. (shrink)

In unpacking the nature of deception, we'll want to ask what conditions would need to be met in order rightly to conclude that an act of deception has taken place. The literary stories about Sherlock Holmes provide a large pool of examples of misdirection, whereby Holmes is able to stay one step ahead of his adversaries. These examples are used to show the inadequacy of a number of purported definitions of deception. I then settle on one definition that does seem (...) adequate. One odd outcome of the discussion is that Holmes and his nemesis, Moriarty, actually do not engage in a contest of deception with one another. (shrink)

This comment responds to Kevin Warwick’s article on predictability and responsibility with respect to brain-machine interfaces in action. It compares conventional responsibility for device use with the potential consequences of phenomenological human-machine integration which obscures the causal chain of an act. It explores two senses of “responsibility”: 1) when it is attributed to a person, suggesting the morally important way in which the person is a causal agent, and 2) when a person is accountable and, on the basis of (...) fairness about rewards and sanctions, has a duty to act responsibly and accept liability. The comment suggests that, in the absence of absolute knowledge and predictability, we continue to engage in practical forms of reasoning about the responsibility for BMI-use in ways which are inclusive of uncertainties about the liability of persons versus devices and those who create them. (shrink)

Each world faith tradition has its own distinctive relationship with science, and the science-religion dialogue benefits from a greater awareness of what this relationship is. In this book, members of the International Society for Science and Religion (ISSR) offer international and multi-faith perspectives on how new discoveries in science are met with insights regarding spiritual realities.The essays reflect the conviction that “religion and science each proceed best when they’re pursued in dialogue with each other, and also that our fragmented and (...) divided world would benefit more from a stronger dialogue between science and religion.” In Part One, George F. R. Ellis, John C. Polkinghorne, and Holmes Rolston III, each a Templeton Prize winner, discuss their views on why the science and religion dialogue matters. They are joined in Part Two by distinguished theologians Fraser Watts and Philip Clayton, who place the dialogue in an international context; John Polkinghorne’s inaugural address to the ISSR in 2002 is also included. In Part Three, five members of the ISSR look at the distinctive relationships of their faiths to science: •Carl Feit on Judaism •Munawar Anees on Islam •B.V. Subbarayappa on Hinduism •Trinh Xuan Thuan on Buddhism •Heup Young Kim on Asian Christianity George Ellis, the recently elected second president of ISSR, summarizes the contributions of his colleagues. Ronald Cole-Turner then concludes the book with a discussion of the future of the science and religion dialogue. (shrink)

Piéron's Law describes the relationship between stimulus intensity and reaction time. Previously (Stafford & Gurney, 2004), we have shown that Piéron's Law is a necessary consequence of rise-to-threshold decision making and thus will arise from optimal simple decision-making algorithms (e.g., Bogacz, Brown, Moehlis, Holmes, & Cohen, 2006). Here, we manipulate the color saturation of a Stroop stimulus. Our results show that Piéron's Law holds for color intensity and color-naming reaction time, extending the domain of this law, in line with our (...) suggestion of the generality of the processes that can give rise to Piéron's Law. In addition, we find that Stroop condition does not interact with the effect of color saturation; Stroop interference and facilitation remain constant at all levels of color saturation. An analysis demonstrates that this result cannot be accounted for by single-stage decision-making algorithms which combine all the evidence pertaining to a decision into a common metric. This shows that human decision making is not information-optimal and suggests that the generalization of current models of simple perceptual decision making to more complex decisions is not straightforward. (shrink)

With the increasing use of algorithms in high-stakes areas such as criminal justice and health has come a significant concern about the fairness of prediction-based decision procedures. In this article I argue that a prominent class of mathematically incompatible performance parity criteria can all be understood as applications of John Broome’s account of fairness as the proportional satisfaction of claims. On this interpretation these criteria do not disagree on what it means for an algorithm to be _fair_. Rather they express (...) different understandings of what grounds a claim to a good being allocated by an algorithmic decision procedure. I then argue that an important implication of the Broomean interpretation is that it strengthens the case for outcome-based criteria. Finally, I consider how a version of the levelling-down objection to performance parity criteria arises within the Broomean account. (shrink)

The use of algorithms to support prediction-based decision-making is becoming commonplace in a range of domains including health, criminal justice, education, social services, lending, and hiring. An assumption governing such decisions is that there is a property Y such that individual a should be allocated resource R by decision-maker D if a is Y. When there is uncertainty about whether a is Y, algorithms may provide valuable decision support by accurately predicting whether a is Y on the basis of known (...) features of a. Based on recent work on statistical evidence in epistemology this article presents an argument against relying exclusively on algorithmic predictions to allocate resources when they provide purely statistical evidence that a is Y. The article then responds to the objection that any evidence that will increase the proportion of correct decisions should be accepted as the basis for allocations regardless of its epistemic deficiency. Finally, some important practical aspects of the conclusion are considered. (shrink)

Predictable polarization is everywhere: we can often predict how people’s opinions, including our own, will shift over time. Extant theories either neglect the fact that we can predict our own polarization, or explain it through irrational mechanisms. They needn’t. Empirical studies suggest that polarization is predictable when evidence is ambiguous, that is, when the rational response is not obvious. I show how Bayesians should model such ambiguity and then prove that—assuming rational updates are those which obey the value of evidence—ambiguity (...) is necessary and sufficient for the rationality of predictable polarization. The main theoretical result is that there can be a series of such updates, each of which is individually expected to make you more accurate, but which together will predictably polarize you. Polarization results from asymmetric increases in accuracy. This mechanism is not only theoretically possible, but empirically plausible. I argue that cognitive search—searching a cognitively accessible space for a particular item—often yields asymmetrically ambiguous evidence, I present an experiment supporting its polarizing effects, and I use simulations to show how it can explain two of the core causes of polarization: confirmation bias and the group polarization effect. (shrink)

A student's future as a knowledge worker (one who "thinks for a living" with the task of problem solving) is the starting point of this book. With this in mind, the book combines a review of philosophical positions and problems with practical examples and perspectives gained from everyday challenges faced by knowledge workers in their businesses and organizations. Through the use of summative chapters, highlighted key concepts, questions for reflection, and illustrative examples on how to work with the theories presented, (...) the book provides a clear and accessible introduction to this challenging subject. Philosophy of Science primarily addresses students studying language, communication, marketing, economics, and management. However, the survey of the theoretical schools of thought - as well as the discussions on research ethics and the role of research in society - will be equally relevant for other students in the humanities and the natural and social sciences. (shrink)

A definition of emotion common to the affective sciences is an urgent desideratum. Lack of such a definition is a constant source of numerous misunderstandings and a series of mostly fruitless debates. There is little hope that there ever will be agreement on a common definition of emotion, given the sacred traditions of the disciplines involved and the egos of the scholars working in these disciplines. Our aim here is more modest. We propose a list of elements for a working (...) definition of emotion and discuss the justification for the inclusion of elements from our respective perspectives (philosophy and psychology). This working partial definition may at least serve as a litmus test to examine theories of emotion, old and new, across disciplinary boundaries. (shrink)

The potential for financial conflicts of interest (COIs) to damage the credibility of scientific research has become a significant social concern, especially in the wake of high-profile incidents involving the pharmaceutical, tobacco, fossil-fuel, and chemical industries. Scientists and policy makers have debated whether the presence of financial COIs should count as a reason for treating research with suspicion or whether research should instead be evaluated solely based on its scientific quality. This paper examines a recent proposal to develop criteria for (...) evaluating the credibility of research without considering its source of funding. It concludes that proposals of this sort are likely to be either ineffective or impractical in many cases. Nevertheless, this does not imply that all research funded by those with an interest in the outcome must be placed under a cloud of suspicion; there are conditions under which research is at much more serious risk of being corrupted than in other cases, and attention to these conditions can guide productive responses to financial COIs. (shrink)

This new study provides a thorough analysis of the ethical reasoning of doctors and nurses. Based on extensive interviews, Soren Holm's work demonstrates how qualitative research methods can be used to study ethical reasoning, and that the results of such studies are important for normative ethics, that is, the analysis of how health care professionals ought to act.

We argue that explainable artificial intelligence (XAI), specifically reason-giving XAI, often constitutes the most suitable way of ensuring that someone can properly be held responsible for decisions that are based on the outputs of artificial intelligent (AI) systems. We first show that, to close moral responsibility gaps (Matthias 2004), often a human in the loop is needed who is directly responsible for particular AI-supported decisions. Second, we appeal to the epistemic condition on moral responsibility to argue that, in order to (...) be responsible for her decision, the human in the loop has to have an explanation available of the system’s recommendation. Reason explanations are especially well-suited to this end and we examine whether – and how – it might be possible to make such explanations fit with AI systems. We support our claims by focusing on a case of disagreement between human in the loop and AI system. (shrink)

The question that this paper tries to answer is Q: “Can good academic bioethics be done without commitment to moral theory?” It is argued that the answer to Q is an unequivocal “Yes” for most of what we could call “critical bioethics,” that is, the kind of bioethics work that primarily criticizes positions or arguments already in the literature or put forward by policymakers. The answer is also “Yes” for much of empirical bioethics. The second part of the paper then (...) provides an analysis of Q in relation to “constructive bioethics,” that is, bioethics work aimed at providing an argument for a particular position. In this part, it is argued that a number of the approaches or methods used that initially look like they involve no commitment to moral theory, nevertheless, involve such a commitment. This is shown to be the case for reflective equilibrium, mid-level theory, the use of theory fragments, and argument by analogy. (shrink)

Husserl seems to have devoted roughly equal amounts of energy and pages to the description of perception, judgement, and imagination. By “description,” he meant the analysis of the traits and components of mental states or acts and their objects. As his views changed over the years about the nature of intentionality and philosophy, the descriptive psychology of the Logical Investigations (1900/01) gave way to descriptive programmes in which the objects of perception and of judgement were conceived of in terms of (...) a new, analytic framework; in particular Husserl lost interest in describing the things and processes in the real world that are the objects of perception and judgement and so too in describing their relations to these acts. His new analytic framework, particularly as it applies to perception, has been thoroughly expounded and discussed in the literature. My aim here is to expound Husserl's first descriptions of perception within the framework of the Investigations and to incorporate as far as possible his later descriptive results to the extent that these are separable from his later turn to idealism. (shrink)

There are many things—call them ‘experts’—that you should defer to in forming your opinions. The trouble is, many experts are modest: they’re less than certain that they are worthy of deference. When this happens, the standard theories of deference break down: the most popular (“Reflection”-style) principles collapse to inconsistency, while their most popular (“New-Reflection”-style) variants allow you to defer to someone while regarding them as an anti-expert. We propose a middle way: deferring to someone involves preferring to make any decision (...) using their opinions instead of your own. In a slogan, deferring opinions is deferring decisions. Generalizing the proposal of Dorst (2020a), we first formulate a new principle that shows exactly how your opinions must relate to an expert’s for this to be so. We then build off the results of Levinstein (2019) and Campbell-Moore (2020) to show that this principle is also equivalent to the constraint that you must always expect the expert’s estimates to be more accurate than your own. Finally, we characterize the conditions an expert’s opinions must meet to be worthy of deference in this sense, showing how they sit naturally between the too-strong constraints of Reflection and the too-weak constraints of New Reflection. (shrink)

Phenomenal Conservatism (the view that an appearance that p gives one prima facie justification for believing that p) is a promising, and popular, internalist theory of epistemic justification. Despite its popularity, it faces numerous objections and challenges. For instance, epistemologists have argued that Phenomenal Conservatism is incompatible with Bayesianism, is afflicted by bootstrapping and cognitive penetration problems, does not guarantee that epistemic justification is a stable property, does not provide an account of defeat, and is not a complete theory of (...) epistemic justification. This book shows that Phenomenal Conservatism is actually immune to some of these problems, though not all of them. Accordingly, it explores the prospects of integrating Phenomenal Conservatism with Explanationism (the view that epistemic justification is a matter of explanatory relations between one’s evidence and propositions supported by that evidence). The resulting theory, Phenomenal Explanationism, has advantages over Phenomenal Conservatism and Explanationism taken on their own. Phenomenal Explanationism is a highly unified, comprehensive internalist theory of epistemic justification that delivers on the promises of Phenomenal Conservatism while avoiding its pitfalls. (shrink)

An important and engaging book on a key argument in contemporary debates about free will and moral responsibility.

In 2022, students at North American universities with third-dose COVID-19 vaccine mandates risk disenrolment if unvaccinated. To assess the appropriateness of booster mandates in this age group, we combine empirical risk-benefit assessment and ethical analysis. To prevent one COVID-19 hospitalisation over a 6-month period, we estimate that 31 207–42 836 young adults aged 18–29 years must receive a third mRNA vaccine. Booster mandates in young adults are expected to cause a net harm: per COVID-19 hospitalisation prevented, we anticipate at least (...) 18.5 serious adverse events from mRNA vaccines, including 1.5–4.6 booster-associated myopericarditis cases in males (typically requiring hospitalisation). We also anticipate 1430–4626 cases of grade ≥3 reactogenicity interfering with daily activities (although typically not requiring hospitalisation). University booster mandates are unethical because they: (1) are not based on an updated (Omicron era) stratified risk-benefit assessment for this age group; (2) may result in a net harm to healthy young adults; (3) are not proportionate: expected harms are not outweighed by public health benefits given modest and transient effectiveness of vaccines against transmission; (4) violate the reciprocity principle because serious vaccine-related harms are not reliably compensated due to gaps in vaccine injury schemes; and (5) may result in wider social harms. We consider counterarguments including efforts to increase safety on campus but find these are fraught with limitations and little scientific support. Finally, we discuss the policy relevance of our analysis for primary series COVID-19 vaccine mandates. (shrink)

Introduction -- Organization, society and politics -- An Aristotelian perspective -- The politics -- The public good -- The rhetoric -- Talk and texts -- The Nichomachean ethics -- Decision making and ethics -- The Poetics -- Bolshevism to ballet in three steps -- What is "public interest"?: a case study -- Where do we go from here?

This paper presents the results of two corpus studies investigating the discourse surrounding conspiracy theories and genuine theories. The results of these studies show that conspiracy theories lack the epistemic and scientific standing characteristic of theories more generally. Instead, our findings indicate that conspiracy theories are spread in a manner that resembles the dissemination of rumors and falsehoods. Based on these empirical results, we argue that it is time for both re-engineering conspiracy theory and for relabeling "conspiracy theory". We propose (...) relabelling conspiracy theories as either "conspiracy stories" or "conspiracy narratives" to more accurately convey their true nature. (shrink)

ABSTRACTAndrew Bacon, Matti Eklund, and Patrick Greenough have individually proposed objections to the project in my book, Replacing Truth. Briefly, the book outlines a conceptual engineering project – our defective concept of truth is replaced for certain purposes with a team of concepts that can do some of the jobs we thought truth could do. Here, I respond to their objections and develop the views expressed in Replacing Truth in various ways.

Assertions are the centre of gravity in social epistemology. They are the vehicles we use to exchange information within scientific groups and society as a whole. It is therefore essential to determine under which conditions we are permitted to make an assertion. In this paper we argue and provide empirical evidence for the view that the norm of assertion is justified belief: truth or even knowledge are not required. Our results challenge the knowledge account advocated by, e.g. Williamson (1996), in (...) general, and more specifically, put into question several studies conducted by Turri (2013, 2016) that support a knowledge norm of assertion. Instead, the justified belief account championed by, e.g. Douven (2006), seems to prevail. (shrink)

Do people tend to be overconfident? Many think so. They’ve run studies on whether people are calibrated: whether their average confidence in their opinions matches the proportion of those opinions that are true. Under certain conditions, people are systematically ‘over-calibrated’—for example, of the opinions they’re 80% confident in, only 60% are true. From this empirical over-calibration, it’s inferred that people are irrationally overconfident. My question: When and why is this inference warranted? Answering it requires articulating a general connection between being (...) rational and being right—something extant studies have not done. I show how to do so using the notion of deference. This provides a theoretical foundation for calibration research, but also reveals a flaw: the connection between being rational and being right is much weaker than is standardly assumed, since rational people can often be expected to be miscalibrated. Thus we can’t test whether people are overconfident by simply testing whether they are over-calibrated; instead, we must try to predict the rational deviations from calibration, and then compare those predictions to people’s performance. I show how this can be done—and that doing so complicates the interpretation of robust empirical effects. (shrink)

The standard interpretation of quantum mechanics and a standard interpretation of the awareness of pain have a common feature: Both postulate the existence of an irresolvable duality. Whereas many physicists claim that all particles exhibit particle and wave properties, many philosophers working on pain argue that our awareness of pain is paradoxical, exhibiting both perceptual and introspective characteristics. In this chapter, we offer a pessimistic take on the putative paradox of pain. Specifically, we attempt to resolve the supposed paradox by (...) undermining the reasons offered for accepting the introspective side of the dualism. (shrink)

What is essential to language? Two thinkers active in Vienna in the 1930's, Karl Bühler and Ludwig Wittgenstein, gave apparently incompatible answers to this question. I compare what Wittgenstein says about language and reference at the beginning of his Philosophical Investigations with some aspects of the descriptive analysis of language worked out by Bühler between 1907 and 1934, a systematic development of the philosophies of mind and language of such heirs of Brentano as Martinak, Marty, Meinong, Landgrebe and Husserl. Y (...) a-Uil quelque chose qui est essentiel au langage? Deux penseurs actifs à Vienne dans les années trente, Karl Bühler et Ludwig Wittgenstein, donnent à cette question des réponses qui sont apparemment incompatibles. Je compare ce que Wittgenstein dit du langage et de la référence au début de ses Investigations Philosophiques avec quelques aspects de l'analyse descriptive élaborée par Bühler entre 1907 et 1934, un développement systématique des philosophies de l'esprit et du langage des héritiers de Brentano tels que Martinak, Marty, Meinong, Landgrebe et Husserl. (shrink)

This interview took place through email during October-November, 2019. Michael: It’s a real pleasure to engage you in conversation. You were a foundation member of PESA and someone who in the pre-I...

Suppose that realism about values is true, that there are objects and states of affairs which are intrinsically valuable, that some objects and states of affairs are intrinsically more valuable than others and that some objects and states of affairs are intrinsically valuable for Sam, and others for Maria.

This book aims to develop certain aspects of Gottlob Frege’s theory of meaning, especially those relevant to intensional logic. It offers a new interpretation of the nature of senses, and attempts to devise a logical calculus for the theory of sense and reference that captures as closely as possible the views of the historical Frege. (The approach is contrasted with the less historically-minded Logic of Sense and Denotation of Alonzo Church.) Comparisons of Frege’s theory with those of Russell and others (...) are given. It is in the end shown that developing Frege’s theory in these ways reveals serious problems hitherto largely unnoticed, including those possibly rendering a Fregean intensional logic inconsistent even if his naïve class theory is excluded. (shrink)

ABSTRACT In a series of papers read to the Cambridge Philosophical Society through the 1820s, the Cambridge mathematician George Peacock laid the foundation for a natural history of arithmetic that would tell a story of human progress from counting to modern arithmetic. The trajectory of that history, Peacock argued, established algebraic analysis as a form of universal reasoning that used empirically warranted operations of mind to think with symbols on paper. The science of counting would suggest arithmetic, arithmetic would suggest (...) arithmetical algebra, and, finally, arithmetical algebra would suggest symbolic algebra. This philosophy of suggestion provided the foundation for Peacock's “principle of equivalent forms,” which justified the practice of nineteenth-century English symbolic algebra. Peacock's philosophy of suggestion owed a considerable debt to the early Cambridge Philosophical Society culture of natural history. The aim of this essay is to show how that culture of natural history was constitutively significant to the practice of nineteenth-century English algebra. (shrink)