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The Hidden Praeceptor: How Georg Rheticus Taught Geocentric Cosmology to Europe 《隐藏的感知器:乔治·雷提克斯如何向欧洲传授地心说宇宙论》
Q1 Arts and Humanities Pub Date : 2022-02-20 DOI: 10.1162/posc_a_00421
M. Valleriani, Beate Federau, Olya Nicolaeva
Abstract A corpus of 360 distinct early modern printed editions (from 1472 to 1650) containing Johannes de Sacrobosco’s Tractatus de sphaera is “dissected” into a corpus of 540 text-parts, 241 of them re-occurring at least once. Through the exploration of the data, we recognized a relevant position for four anonymous authors in their social network. We demonstrate that the text-parts originally assigned to the anonymous authors were authored or edited by Georg Rheticus. By means of data analysis, we conclusively establish that Rheticus profoundly impacted the content of such textbooks for the introductory class in geocentric astronomy all over Europe between 1538 and 1629.
包含Johannes de Sacrobosco的《球体论》(Tractatus de sphaera)的360个不同的早期现代印刷版本的语料库(从1472年到1650年)被“解剖”成540个文本部分的语料库,其中241个至少重复出现一次。通过对数据的探索,我们发现了四位匿名作者在他们的社交网络中的相关位置。我们证明了最初分配给匿名作者的文本部分是由Georg Rheticus撰写或编辑的。通过数据分析,我们最终确定,Rheticus深刻地影响了1538年至1629年间整个欧洲的地心说天文学入门类教科书的内容。
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引用次数: 3
Replicating Mathematical Inventions: Galileo’s Compass, Its Instructions, Its Students 复制数学发明:伽利略的指南针,它的说明,它的学生
Q1 Arts and Humanities Pub Date : 2022-02-20 DOI: 10.1162/posc_a_00422
M. Biagioli
Abstract Questions about how closure is achieved in disputes involving new observational or experimental claims have highlighted the role of bodily knowledge possibly irreducible to written experimental protocols and instructions how to build and operate instruments. This essay asks similar questions about a scenario that is both related and significantly different: the replication of an invention, not of an observation or the instrument through which it produced. Furthermore, the machine considered here—Galileo’s compass or sector—was not a typical industrial invention (like a spinning jenny), but a mathematical invention (a calculator), that is, a machine that produces numbers, not yarn. This case study describes some of the similarities and differences between replicating experiments, traditional machines producing material outputs, and mathematical inventions yielding calculations or information. This comparison indicates that, as in other kinds of replication, the replication of mathematical inventions involves texts (the calculator’s instructions) but that in this case bodily knowledge cannot be properly described as either tacit or explicit. It rather takes the shape of memory—muscle memory—that may be recalled from reading the instructions.
关于如何在涉及新的观察或实验主张的争议中实现结论性的问题突出了身体知识的作用,这些知识可能无法简化为书面实验协议和如何构建和操作仪器的说明。这篇文章对一个既相关又明显不同的场景提出了类似的问题:复制一项发明,而不是观察或产生该发明的工具。此外,这里考虑的机器——伽利略的指南针或扇形——不是典型的工业发明(如纺纱机),而是数学发明(计算器),也就是说,一种产生数字的机器,而不是纱线。本案例研究描述了复制实验、生产材料输出的传统机器和产生计算或信息的数学发明之间的一些异同。这一比较表明,与其他类型的复制一样,数学发明的复制涉及文本(计算器的指令),但在这种情况下,身体知识不能被恰当地描述为隐性或显性。它更像是记忆的形式——肌肉记忆——可以在阅读说明书时被唤起。
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引用次数: 0
Introduction: The Idiosyncratic Nature of Renaissance Mathematics 引言:文艺复兴时期数学的特质
Q1 Arts and Humanities Pub Date : 2022-02-20 DOI: 10.1162/posc_e_00419
P. Rossini
Ever since its foundation in 1540, the Society of Jesus had had one mission—to restore order where Luther, Calvin and the other instigators of the Reformation had brought chaos. To stop the hemorrhage of believers, the Jesuits needed to form a united front. No signs of internal disagreement could to be shown to the outside world, lest the congregation lose its credibility. But in 1570s two prominent Jesuits, Cristophorus Clavius and Benito Perera, had engaged in a bitter controversy. The issue at stake had apparently nothing to do with the values on which Ignazio of Loyola had built the Society of Jesus. And yet the dispute between Clavius and Perera was matter of concern for the entire Jesuit community. They were arguing over the certitude of mathematics. There are many ways of telling the stories of Renaissance mathematics. Starting with the Quaestio de certitudine mathematicarum—the dispute that involved Clavius and Perera—is just an example. One may, as Carl Boyer does in his A History of Mathematics (Merzbach and Boyer 2011), begin by outlining the conditions that allowed mathematics to reach new heights in the sixteenth and seventeenth centuries. Chief among these conditions were the rediscovery of Greek geometry—in particular the works of Euclid and Apollonius—and the Latin translations of Arabic algebraic and arithmetic treatises. Or, following the example of Klein (1968), one may trace the transformations undergone by ancient concepts such as that of arithmos (number in Greek) during Renaissance times. But, I believe, no event epitomizes the spirit of Renaissance mathematics better than the Quaestio.
自1540年成立以来,耶稣会一直肩负着一个使命——在路德、加尔文和其他宗教改革的发起者带来混乱的地方恢复秩序。为了阻止信徒的流失,耶稣会需要形成一个统一战线。任何内部分歧的迹象都不能向外界展示,以免教会失去信誉。但在1570年代,两位著名的耶稣会士,克里斯托夫鲁斯·克拉维斯和贝尼托·佩雷拉,进行了一场激烈的争论。这个问题显然与罗耀拉的伊格纳齐奥建立耶稣会的价值观无关。然而,克拉维斯和佩雷拉之间的争论是整个耶稣会社区关注的问题。他们在争论数学的确定性。讲述文艺复兴时期数学的故事有很多种方式。从克拉维乌斯和佩雷拉之间的数学确定性问题开始,就是一个例子。正如卡尔·博耶(Carl Boyer)在他的《数学史》(Merzbach and Boyer 2011)中所做的那样,人们可以从概述16和17世纪数学达到新高度的条件开始。在这些条件中,最主要的是希腊几何学的重新发现——特别是欧几里得和阿波罗尼的著作——以及阿拉伯代数和算术论文的拉丁文翻译。或者,以克莱因(1968)为例,我们可以追溯文艺复兴时期算术(希腊语中的数字)等古代概念所经历的转变。但是,我相信,没有什么事件比《问题》更能体现文艺复兴时期的数学精神了。
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引用次数: 0
Geometry and the Gods: Theurgy in Proclus’s Commentary on the First Book of Euclid’s Elements 几何与诸神:普罗克劳斯对《欧几里得元素》第一卷的评注中的神学
Q1 Arts and Humanities Pub Date : 2022-02-20 DOI: 10.1162/posc_a_00420
Robert Goulding
Abstract The gods that guard the poles have been assigned the function of assembling the separate and unifying the manifold members of the whole, while those appointed to the axes keep the circuits in everlasting revolution around and around. And if I may add my own conceit, the centers and poles of all the spheres symbolize the wry-necked gods (τῶν ίυγγικῶν θεῶν) by imitating the mysterious union and synthesis which they effect; the axes represent the connectors (συνοχάς) of all the cosmic orders … and the very spheres are likenesses of the perfecting divinities (τῶν τελεσιουργῶν θεῶν) … (Proclus 1992a, pp. 74–5; 1873, pp. 90–91)1 Proclus’s Commentary on the First Book of Euclid’s Elements contains one of the most important discussions of the nature of mathematical objects and preserves a wealth of historical information about mathematics from antiquity. However, large sections of the text have been neglected by scholars since the text’s first publication in the sixteenth century. Proclus expounds at length on correspondences between mathematical objects and the gods. At times he uses the language of “theurgy,” the ritual practices that later Neoplatonists insisted were necessary for the human soul to ascend to the intelligibles. The contention of this article is that the Commentary, taken as a whole, concerns the practice of “inner theurgy,” mental rituals used by advanced students to raise the soul beyond its assigned bounds. This practice can be traced back to Plotinus and the very beginnings of Neoplatonism; however, the particular methods presented by Proclus are his own development. This interpretation of the Commentary is supported by Proclus’s works Commentary on the Parmenides and Platonic Theology. Parts of the Commentary that have been studied carefully by modern scholars, especially the theory of the mathematical phantasia or imagination, will be shown to be crucial elements in Proclus’s theory and practice of inner theurgy.
守护两极的神被赋予了将分离的和统一的整体的多种成员的功能,而那些被指定为轴的人则使电路不断地旋转。如果我可以加上我自己的自负,所有球体的中心和极点通过模仿它们所起的神秘的结合和综合作用,象征着颈颈的神(τ ν ν γγικ ν ν θε ν ν);坐标轴代表所有宇宙秩序的连接点(σ νοχ ο ς)……而这些球体是完美的神(τ ν ν ελεσιο ν ργ ν ν θε ν ν)的形象……(Proclus 1992a, pp. 75 - 5;(1873,第90-91页)1 Proclus的评注欧几里得的元素的第一本书包含了数学对象的性质的最重要的讨论之一,并保存了丰富的历史信息,从古代数学。然而,自16世纪文本首次出版以来,文本的大部分内容被学者们忽视了。普罗普罗斯详细地阐述了数学对象与神之间的对应关系。有时他使用“巫术”的语言,后来的新柏拉图主义者坚持认为,仪式实践对于人类灵魂提升到可理解性是必要的。这篇文章的论点是,《注释》作为一个整体,关注的是“内在魔法”的实践,这是高级学生用来提升灵魂超越其指定界限的精神仪式。这种做法可以追溯到普罗提诺和新柏拉图主义的开端;然而,普罗克劳斯提出的特殊方法是他自己的发展。这种对《注释》的解释得到了普罗克劳斯《巴门尼德和柏拉图神学注释》的支持。现代学者仔细研究的《注释》部分,特别是数学幻想或想象的理论,将被证明是普罗克劳斯内在魔法理论和实践的关键要素。
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引用次数: 0
Can Information Concepts Have Physical Content? 信息概念可以有物理内容吗?
Q1 Arts and Humanities Pub Date : 2022-02-20 DOI: 10.1162/posc_a_00424
Javier Anta
Abstract In this paper I analyze the physical content of the main information concepts in the history of physics of the last seven decades. I argue that this physical character should be evaluated not by appealing to analytical-linguistic confusion (Timpson 2013) or to the usefulness of its applicability (Lombardi et al. 2016a), but properly from its capacity to allow us to acquire significant knowledge about the physical world. After systematically employing this epistemic criterion of physical significance I will conclude by rejecting the main strategies of ontological inflation and physical content of the main information concepts in the classical thermal physics literature.
本文分析了近70年来物理史上主要信息概念的物理内容。我认为,不应该通过分析语言混淆(Timpson 2013)或其适用性的有用性(Lombardi et al. 2016a)来评估这种物理特性,而应该从它允许我们获得关于物理世界的重要知识的能力来评估。在系统地采用这种物理意义的认知标准之后,我将通过拒绝经典热物理文献中主要信息概念的本体论膨胀和物理内容的主要策略来结束。
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引用次数: 0
Ingold’s Animism and European Science 英戈尔德的万物有灵论与欧洲科学
Q1 Arts and Humanities Pub Date : 2022-02-20 DOI: 10.1162/posc_a_00425
Jeff Kochan
Abstract Anthropologist Tim Ingold promotes Indigenous animism as a salve for perceived failures in modern science; failures he claims also hobbled his own early work. In fact, both Ingold’s early and later work rely on modern scientific ideas and images. His turn to animism marks not an exit from the history of European science, but an entrance into, and imaginative elaboration of, distinctly Neoplatonic themes within that history. This turn marks, too, a clear but unacknowledged departure from systematic social analysis. By re-embracing social analysis, Ingold would overcome the obscurity that now hobbles his later work.
人类学家蒂姆·英戈尔德(Tim Ingold)将土著万物有灵论作为现代科学失败的一剂良药;他说,失败也阻碍了他自己早期的工作。事实上,英戈尔德早期和后期的作品都依赖于现代科学思想和形象。他转向万物有灵论并不标志着欧洲科学史的退出,而是进入了这段历史中明显的新柏拉图主义主题,并对其进行了富有想象力的阐述。这一转变也标志着对系统社会分析的一种明显但未被承认的背离。通过重新接受社会分析,英戈尔德将克服现在阻碍他后期工作的晦涩。
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引用次数: 2
Non-Empirical Uncertainties in Evidence-Based Decision Making 循证决策中的非经验不确定性
Q1 Arts and Humanities Pub Date : 2022-01-18 DOI: 10.1162/posc_a_00416
Malvina Ongaro, M. Andreoletti
Abstract The increasing success of the evidence-based policy movement is raising the demand of empirically informed decision making. As arguably any policy decision happens under conditions of uncertainty, following our best available evidence to reduce the uncertainty seems a requirement of good decision making. However, not all the uncertainty faced by decision makers can be resolved by evidence. In this paper, we build on a philosophical analysis of uncertainty to identify the boundaries of scientific advice in policy decision making. We start by introducing a distinction between empirical and non-empirical types of uncertainty, and we explore the role of two non-empirical uncertainties in the context of policy making. We argue that the authority of scientific advisors is limited to empirical uncertainty and cannot extend beyond it. While the appeal of evidence-based policy rests on a view of scientific advice as limited to empirical uncertainty, in practice there is a risk of over reliance on experts beyond the legitimate scope of their authority. We conclude by applying our framework to a real-world case of evidence-based policy, where experts have overstepped their boundaries by ignoring non-empirical types of uncertainty.
循证政策运动的日益成功提高了对经验知情决策的需求。可以说,任何政策决定都是在不确定的条件下做出的,遵循我们现有的最佳证据来减少不确定性似乎是良好决策的必要条件。然而,并非决策者所面临的所有不确定性都可以通过证据来解决。在本文中,我们建立在对不确定性的哲学分析的基础上,以确定政策决策中科学建议的边界。我们首先介绍了实证不确定性和非实证不确定性之间的区别,并探讨了两种非实证不确定性在政策制定过程中的作用。我们认为,科学顾问的权威仅限于经验的不确定性,不能超越它。虽然以证据为基础的政策的吸引力基于一种观点,即科学建议仅限于经验上的不确定性,但在实践中存在过度依赖超出其合法权威范围的专家的风险。最后,我们将我们的框架应用于一个现实世界的基于证据的政策案例,在这个案例中,专家们忽视了非经验类型的不确定性,从而超越了他们的界限。
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引用次数: 0
Explorative Experiments: A Paradigm Shift to Deal with Severe Uncertainty in Autonomous Robotics 探索性实验:处理自主机器人中严重不确定性的范式转变
Q1 Arts and Humanities Pub Date : 2022-01-18 DOI: 10.1162/posc_a_00415
V. Schiaffonati
Abstract This paper presents a case of severe uncertainty in the development of autonomous and intelligent systems in Artificial Intelligence and autonomous robotics. After discussing how uncertainty emerges from the complexity of the systems and their interaction with unknown environments, the paper describes the novel framework of explorative experiments. This framework presents a suitable context in which many of the issues relative to uncertainty, both at the epistemological level and at the ethical one, in this field should be reframed. The case of autonomous robot systems for search and rescue is used to make the discussion more concrete.
摘要本文介绍了人工智能和自主机器人中自主和智能系统发展中严重不确定性的一个案例。在讨论了不确定性如何从系统的复杂性及其与未知环境的相互作用中产生之后,本文描述了探索性实验的新框架。这个框架提供了一个合适的背景,在这个背景下,在认识论层面和伦理层面上,该领域的许多与不确定性相关的问题都应该重新定义。并以自主搜救机器人系统为例进行了具体的讨论。
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引用次数: 3
Uncertainty in Integrated Assessment Modeling of Climate Change 气候变化综合评估模式的不确定性
Q1 Arts and Humanities Pub Date : 2022-01-18 DOI: 10.1162/posc_a_00417
M. Tavoni, Giovanni Valente
Abstract Integrated assessment models (IAMs) play a major role in the science and policy of climate change. Similarly to other widely used computational tools for addressing socially relevant problems, IAMs need to account for the key uncertainties characterizing processes and socio-economic responses. In the case of climate change, these are particularly complex given the very long-term nature of climate and the deep uncertainty characterizing technological and human systems. Here we draw from philosophical discussion of mathematical modeling of social problems and review the role of uncertainty in climate-economic modeling. In agreement with the literature, we highlight the crucial role of epistemic uncertainty in IAMs. We posit that the normative components of models, more than the physical and socio-techno-economic ones, are the most fraught by uncertainty and yet the least understood. We suggest a research agenda to explore uncertainties of evaluation frameworks, transcending the current implicit normativity of IAMs.
综合评估模型在气候变化科学和政策研究中发挥着重要作用。与用于解决社会相关问题的其他广泛使用的计算工具类似,综合管理模型需要考虑表征过程和社会经济反应的关键不确定性。就气候变化而言,鉴于气候的长期性以及技术和人类系统的高度不确定性,这些问题尤其复杂。在这里,我们借鉴了社会问题数学建模的哲学讨论,并回顾了不确定性在气候经济建模中的作用。与文献一致,我们强调了认知不确定性在iam中的关键作用。我们认为,模型的规范组成部分,比物理和社会技术经济组成部分更充满不确定性,但也最不容易理解。我们建议一个研究议程,以探索评估框架的不确定性,超越目前的隐含规范。
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引用次数: 5
Introduction: Severe Uncertainty in Science, Medicine, and Technology 引言:科学、医学和技术领域的严重不确定性
Q1 Arts and Humanities Pub Date : 2022-01-18 DOI: 10.1162/posc_e_00411
M. Andreoletti, D. Chiffi, B. Taebi
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引用次数: 1
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