scholarly journals Intellectual humility in mathematics

Synthese ◽  
2021 ◽  
Author(s):  
Colin Jakob Rittberg

AbstractIn this paper I explore how intellectual humility manifests in mathematical practices. To do this I employ accounts of this virtue as developed by virtue epistemologists in three case studies of mathematical activity. As a contribution to a Topical Collection on virtue theory of mathematical practices this paper explores in how far existing virtue-theoretic frameworks can be applied to a philosophical analysis of mathematical practices. I argue that the individual accounts of intellectual humility are successful at tracking some manifestations of this virtue in mathematical practices and fail to track others. There are two upshots to this. First, the accounts of the intellectual virtues provided by virtue epistemologists are insightful for the development of a virtue theory of mathematical practices but require adjustments in some cases. Second, the case studies reveal dimensions of intellectual humility virtue epistemologists have thus far overlooked in their theoretical reflections.

Author(s):  
Susanna Braund ◽  
Zara Martirosova Torlone

The introduction describes the broad landscape of translation of Virgil from both the theoretical and the practical perspectives. It then explains the genesis of the volume and indicates how the individual chapters, each one of which is summarized, fit into the complex tapestry of Virgilian translation activity through the centuries and across the world. The volume editors indicate points of connection between the chapters in order to render the whole greater than the sum of its parts. Braund and Torlone emphasize that a project such as this could look like a (rather large) collection of case studies; they therefore consider it important to extrapolate larger phenomena from the specifics presented here


2021 ◽  
Author(s):  
Andrew Imrie ◽  
Maciej Kozlowski ◽  
Omar Torky ◽  
Aditya Arie Wijaya

AbstractMonitoring pipe corrosion is one of the critical aspects in the well intervention. Such analysis is used to evaluate and justify any remedial actions, to prolong the longevity of the well. Typical corrosion evaluation methods of tubulars consist of multifinger caliper tools that provide high-resolution measurements of the internal condition of the pipe. Routinely, this data is then analyzed and interpreted with respect to the manufacture's nominal specification for each tubular. However, this requires assumptions on the outer diameter of the tubular may add uncertainty, and incorrectly calculate the true metal thicknesses. This paper will highlight cases where the integration of such tool and electromagnetic (EM) thickness data adds value in discovering the true condition of both the first tubular and outer casings.These case studies demonstrate the use of a multireceiver, multitransmitter electromagnetic (EM) metal thickness tool operating at multiple simultaneous frequencies. It is used to measure the individual wall thickness across multiple strings (up to five) and operates continuously, making measurements in the frequency domain. This tool was combined with a multifinger caliper to provide a complete and efficient single-trip diagnosis of the tubing and casing integrity. The combination of multifinger caliper and EM metal thickness tool results gives both internal and external corrosion as well as metal thickness of first and outer tubular strings.The paper highlights multiple case studies including; i) successfully detecting several areas of metal loss (up to greater than 32%) on the outer string, which correlated to areas of the mobile salt formation, ii) overlapping defects in two tubulars and, iii) cases where a multifinger caliper alone doesn't provide an accurate indication of the true wall thickness. The final case highlights the advantages of integrating multiple tubular integrity tools when determining the condition of the casing wall.Metal thickness tools operating on EM principles benefit from a slim outer diameter design that allows the tools to pass through restrictions which typically would prevent ultrasonic scanning thickness tools. Additionally, EM tools are unaffected by the type of fluid in the wellbore and not affected by any non-ferrous scale buildup that may present in the inside of the tubular wall. Combinability between complementary multifinger caliper technology and EM thickness results in two independent sensors to provide a complete assessment of the well architecture.


2021 ◽  
Vol 58 (4) ◽  
pp. 142-157
Author(s):  
Andrea Lavazza ◽  
Mirko Farina ◽  

The current Covid-19 pandemic is illustrative of both the need of more experts and of the difficulties that can arise in the face of their decisions. This happens, we argue, because experts usually interact with society through a strongly naturalistic framework, which often places experts’ epistemic authority (understood as neutrality and objectivity) at the centre, sometimes at the expenses of other pluralistic values (such as axiological ones) that people (often non-experts) cherish. In this paper, we argue that we need to supplement such a strong naturalistic framework used to promote epistemic authority with a number of virtues -both intellectual and ethical- which include i. intellectual humility, ii. courage, iii. wisdom and cares, as well as iv. relational autonomy. To illustrate this claim, we discuss these ideas in the context of the Covid-19 pandemic and analyse a set of real-life examples where important decisions have been delegated to experts merely based on their epistemic authority. We use the illustrative failures described in the case studies above-mentioned to call for a revision of current understandings of expertise (merely based on epistemic soundness). Specifically, we argue that in social contexts we increasingly need “experts in action”; that is, people with certified specialist knowledge, who can however translate it into practical suggestions, decisions, and/or public policies that are ethically more balanced and that ultimately lead to fairer, more inclusive, and more representative decisions.


2017 ◽  
Vol 12 (2) ◽  
pp. 289-313
Author(s):  
Claire Farago

Abstract Five interrelated case studies from the sixteenth to the twentieth centuries develop the dynamic contrast between portraiture and pictorial genres newly invented in and about Latin America that do not represent their subjects as individuals despite the descriptive focus on the particular. From Jean de Léry’s genre-defining proto-ethnographic text (1578) about the Tupinamba of Brazil to the treatment of the Creole upper class in New Spain as persons whose individuality deserves to be memorialized in contrast to the Mestizaje, African, and Indian underclass objectified as types deserving of scientific study, hierarchical distinctions between portraiture and ethnographic images can be framed in historical terms around the Aristotelian categories of the universal, the individual, and the particular. There are also some intriguing examples that destabilize these inherited distinctions, such as Puerto Rican artist José Campeche’s disturbing and poignant image of a deformed child, Juan Pantaléon Aviles, 1808; and an imaginary portrait of Moctezuma II, c. 1697, based on an ethnographic image, attributed to the leading Mexican painter Antonio Rodriguez. These anomalies serve to focus the study on the hegemonic position accorded to the viewing subject as actually precarious and unstable, always ripe for reinterpretation at the receiving end of European culture.


Author(s):  
Ashley Floyd Kuntz ◽  
Rebecca M. Taylor

Intellectual virtues are characteristics that motivate individuals to pursue knowledge and understanding. They support the intellectual flourishing of the individual and consequently of society writ large. Scholars are only beginning to examine how these virtues are developed. An interdisciplinary approach that bridges philosophy, psychology, neuroscience, and education research is needed to add empirical grounding to philosophical conceptions of intellectual virtues and to provide recommendations for educators to advance these virtues. Schools arguably have a vital role to play in the development of the intellectual virtues. Colleges and universities embrace several core aims, among them fostering the individual flourishing of their students and the broader public good. Interpreted through a philosophical lens, achieving these aims invokes intellectual virtues. Two intellectual virtues—intellectual autonomy and intellectual fairness—are particularly salient for emerging adults in the higher education context. Empirical research has the potential to shed light on how these virtues are developed and what educators can do to better promote them. Although empirical studies suggest that emerging adults in college may be developmentally primed for the virtues of intellectual autonomy and intellectual fairness, many emerging adults do not leave college reliably demonstrating these virtues. Colleges and universities can do more to support their development by (a) providing students with challenging situations and supportive conditions, (b) creating opportunities for self-directed learning and intellectual risk-taking, and (c) raising awareness of cognitive limitations that undermine fairness.


2020 ◽  
Vol 0 (21) ◽  
pp. 0-0
Author(s):  
Gizem ÖZKAN ÜSTÜN ◽  
Pınar DİNÇ KALAYCI

Aim: The aim of this research is to identify the Novak’s relationship of ‘liquid architecture and music’ as an approach that diverges from the architecture music relationships that have been built throughout the historical process. Method: In describing the approach, initially, the intellectual and critical foundations and features of liquid architecture were emphasized, and subsequently, its relationship with music was discussed through case studies in comparison to the current relationship between architecture and music. Results: When the current relationships of the architecture and music are evaluated, the attitude apart from the arising sensations and affections doesn’t exist within the relationship of liquid architecture and music. Liquid architecture, which has characteristics such as continuity, timelessness, plurality, poetry and obscurity, acquires the characteristics of the individual varying based on his/her body, senses, perceptions, and emotions as the way of producing architecture. It is claimed that the liquidity approach will influence music and architecture in different ways than is known, and that music will transform into a new form of architecture, while architecture becoming a new form of music. In this context, it extends ‘beyond (trans-)’ the limits of current approaches. Conclusion: The sixth category of methodical approaches in architecture music interaction can be defined as the relationship of liquid architecture and music. The way it relates to music and the way it produces architecture also suggests a direction of development to concrete architecture and virtually warns about renewing its theory and tools.


Author(s):  
Brenda Hollweg ◽  
Igor Krstić

In this introductory chapter readers are made familiar with the expanding research field of essayistic filmmaking in world cinema-contexts around the globe. Brenda Hollweg and Igor Krstíc argue that the essay film is a privileged political and ethical tool by means of which filmmakers around the world approach historically specific and locally, geographically concrete issues against larger global issues and universal concerns. The chapter also includes a genealogical overview of important moments in the development of essay filmmaking, particularly during the 1920s and 1960s, and provides readers with short abstracts on the individual chapters and their specific transnationally inflected case studies on essay film practitioners from around the world.


Author(s):  
Edyta Abramek

The aim of the study is to analyze case studies of selected organizations in terms of their achievements in the use of social media. The profiling method applied in the study facilitated evaluating the model of the selected organization. It is an efficient technique for exploring data. Graphic objects show the individual characteristics of selected organizations. Graphical visualization makes it easy to gauge the trajectory, the direction of your company's social media strategy, and helps to make a decision to change it. Further analysis of the structure of these models may facilitate the discovery of relevant relationships between the analyzed variables.


Crowdsourcing ◽  
2019 ◽  
pp. 560-577 ◽  
Author(s):  
Jon M. Corbett ◽  
Logan Cochrane

Maps were historically used as tools of the elite to maintain and expand power and control. The development of participatory mapmaking and the geoweb have opened new avenues for broader citizen engagement and therefore challenge traditional power dynamics. This chapter analyzes three examples and presents experiential learning around participatory processes and VGI contributions. Specifically we explore who is contributing their information, what are their motivations and incentives, in what ways do users interact with available technologies, and how is this contributing to change? We conclude by discussing the roles of motivations, the type of contribution, organizational capacity and leadership, and objectives. In comparing and contrasting these case studies we examine the individual and organizational dynamics of engagement, and how this can better inform the discourse about VGI.


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