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From orbits to orbitals. Early pictorializations of electron probability densities. 从一个轨道到另一个轨道。电子概率密度的早期图示。
IF 0.5 3区 哲学 Q2 HISTORY & PHILOSOPHY OF SCIENCE Pub Date : 2025-12-09 DOI: 10.1080/00033790.2025.2582611
Tilman Sauer, Kristin Sellmann

The transition from atomic models of the old quantum theory to the wave mechanics of mature quantum mechanics entailed a change from electronic orbits to orbitals. The former look like planets orbiting a central star, while orbitals are electronic wave functions interpreted as probability densities. In this paper, we investigate early attempts to create pictorial images of the electronic probability density in the hydrogen atom. We analyse various approaches to visualize solutions to the Schrödinger equation for atomic hydrogen from first attempts in the early 1930s until the advent of modern computer graphics in the 1970s. We replicate the approaches by White (1931), DeVault (1944) and Wiswesser (1945) and discuss their intrinsic features and limitations. The translation of abstract mathematical probability densities into tangible and broadly accessible pictorial representations of orbitals is a complex process that critically depends on the concepts and tools available for graphical representation.

从旧量子理论的原子模型到成熟量子力学的波动力学的转变需要从电子轨道到轨道的变化。前者看起来像围绕中心恒星运行的行星,而轨道则是被解释为概率密度的电子波函数。在本文中,我们研究了早期尝试创建氢原子电子概率密度的图像。我们分析了从20世纪30年代早期的第一次尝试到20世纪70年代现代计算机图形学出现的各种方法来可视化解决原子氢的Schrödinger方程。我们复制了White(1931)、DeVault(1944)和Wiswesser(1945)的方法,并讨论了它们的内在特征和局限性。将抽象的数学概率密度转化为轨道的有形的、可广泛获取的图形表示是一个复杂的过程,关键取决于图形表示的概念和工具。
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引用次数: 0
The development of Kant's precritical cosmology and some 'critical' consequences. 康德前批判宇宙论的发展和一些“批判”的结果。
IF 0.5 3区 哲学 Q2 HISTORY & PHILOSOPHY OF SCIENCE Pub Date : 2025-12-07 DOI: 10.1080/00033790.2025.2596600
Helmut Pulte

The following paper was inspired by editorial work on some of early precritical writings for the new Academy Edition of Immanuel Kant which can be characterized as more or (more often) less coherent compositions of traditional rational cosmology and physical cosmology of his time, the further transformation of which gave rise to some investigations how basic concepts changed in the period from around 1746-1768. The aim of the paper is twofold: Firstly - and for the first time, as far as I can see - to give a concise account of the most important conceptual developments of Kant's precretical cosmology, especially of his precitical theory of matter. Secondly, to show how innovations in his later pre-critical writings in particular influenced the cosmology of his critical phase, mainly presented in the Critique of Pure Reason and the Metaphysical Foundations of Natural Science. Although the paper in no way plays down the philosophical significance of Kant's transcendental turn, it intends to show the extent to which argumentative patterns of the precritical period have found their way into his critical philosophy and others have become obsolete as a result of this turn.

下面这篇论文的灵感来自于对伊曼努尔·康德的新学院版的一些早期批判前著作的编辑工作,这些著作可以被描述为他那个时代的传统理性宇宙学和物理宇宙学的或多或少的连贯组成,其进一步的转变引发了一些关于基本概念在1746年至1768年期间如何变化的研究。这篇论文的目的有两个:首先——据我所知,这是第一次——对康德前批判宇宙论,尤其是他的物质的实践理论的最重要的概念发展给出一个简明的说明。其次,展示他在后期的前批判著作中的创新如何特别影响了他批判阶段的宇宙论,主要体现在《纯粹理性批判》和《自然科学的形而上学基础》中。虽然这篇论文并没有淡化康德先验转向的哲学意义,但它打算表明,前批判时期的论证模式在多大程度上进入了康德的批判哲学,而其他的论证模式则由于这一转向而变得过时。
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引用次数: 0
Kant on the metaphysical foundation of inertia. 康德关于惯性的形而上学基础。
IF 0.5 3区 哲学 Q2 HISTORY & PHILOSOPHY OF SCIENCE Pub Date : 2025-12-05 DOI: 10.1080/00033790.2025.2596605
Falk Wunderlich

This paper deals with Kant's elaboration of a metaphysical foundation of the principle of inertia in the Metaphysical Foundations of Natural Science. Many of Kant's contemporaries treat inertia not as an issue of mathematical physics but rather as a general feature of material objects that is addressed by metaphysics and, to some extent, by theology as well. In turn, inertia is often seen as the reason why matter is fundamentally passive, thus providing an argument against materialism. In particular, Abraham Gotthelf Kästner and Johann Samuel Traugott Gehler are considered on this score. They agree with Kant in that the principle of inertia follows from the general causal principle. Contrary to Kant, Kästner and Gehler treat inertia as a phenomenon of experience, whereas it seems a unique feature of Kant's approach to conceive of inertia as expressing the lifelessness of matter.

本文论述了康德在《自然科学的形而上学基础》中对惯性原理的形而上学基础的阐述。与康德同时代的许多人并不把惯性视为数学物理学的问题,而是把它视为物质对象的一个普遍特征,这个特征在形而上学中得到了解决,在某种程度上,在神学中也是如此。反过来,惯性通常被视为物质从根本上是被动的原因,从而提供了反对唯物主义的论据。特别是亚伯拉罕·戈特尔夫Kästner和约翰·塞缪尔·特劳戈特·盖勒。他们同意康德的观点,即惯性原理是从一般因果原理推导出来的。与康德相反,Kästner和Gehler将惯性视为一种经验现象,而康德将惯性视为表达物质的无生命的方法似乎是其独特的特征。
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引用次数: 0
Kant's pragmatic account of science: empirical conditions for securing the path of research. 康德对科学的实用主义解释:确保研究路径的经验条件。
IF 0.5 3区 哲学 Q2 HISTORY & PHILOSOPHY OF SCIENCE Pub Date : 2025-12-04 DOI: 10.1080/00033790.2025.2584332
Thomas Sturm, Larissa Wallner

We provide a reconstruction of Kant's empirical-pragmatic account of science, focusing on psychological, social, and historical conditions that 'pragmatically' promote or hinder the advancement of science. Our novel reconstruction offers a realistic portrayal of Kant's view. Part 1 claims that he presents a differentiated and dynamic account of research. Part 2 looks at psychological conditions, beginning with Kant's analysis of cognitive faculties (2.1), and the distinction between higher and lower faculties (2.2). Then, we turn to layers of scientific cognition: (2.3) observation, (2.4) imagination, (2.5) 'methodical meditation', and (2.6) 'sagacity', the talent for scientific discovery. Part 3 addresses biological, political, and historical conditions that hinder the development of science: mortality, lack of liberty, and 'barbarism'. We explain how Kant conceptualizes science as a collective historical process promoting human flourishing (3.1). To cope with individual limits, Kant demands to divide scientific labour between (3.2) kinds of minds and (3.3) disciplines. Section (3.4) treats his views on truth and testimony as crucial for science. In our conclusion, part 4, we show how Kant thinks the history of science ought to be studied, how his pragmatic approach relates to his claims about reason's role in scientific progress, and what research questions emerge next.

我们重建了康德的经验-实用主义科学解释,重点关注“实用主义”促进或阻碍科学进步的心理、社会和历史条件。我们的小说重构为康德的观点提供了一个现实的写照。第1部分声称,他提出了一个差异化的和动态的研究帐户。第二部分着眼于心理状况,从康德对认知能力的分析(2.1)开始,以及高级和低级能力之间的区别(2.2)。然后,我们转向科学认知的层次:(2.3)观察,(2.4)想象,(2.5)“有条理的冥想”,(2.6)“睿智”,即科学发现的才能。第三部分讨论阻碍科学发展的生物、政治和历史条件:死亡、缺乏自由和“野蛮”。我们解释康德如何将科学概念化为促进人类繁荣的集体历史过程(3.1)。为了克服个体的局限性,康德要求在(3.2)头脑的种类和(3.3)学科之间划分科学劳动。第3.4节将他对真理和见证的看法视为科学的关键。在我们的结论部分,第4部分,我们展示了康德认为应该如何研究科学史,他的实用主义方法如何与他关于理性在科学进步中的作用的主张联系起来,以及接下来出现的研究问题。
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引用次数: 0
Kant on regulative principles in science. 康德论科学中的调节原则。
IF 0.5 3区 哲学 Q2 HISTORY & PHILOSOPHY OF SCIENCE Pub Date : 2025-12-03 DOI: 10.1080/00033790.2025.2596596
Eric Watkins

This paper discusses several central features of Kant's account of how regulative principles guide scientific inquiry. Specifically, it focuses on Kant's views on what these regulative principles are, why they are justified, how they function to regulate our inquiry, and what conception of reason can support them.

本文讨论了康德关于调节原则如何指导科学探究的几个核心特征。具体来说,它关注的是康德关于这些调节原则是什么,为什么它们是合理的,它们如何规范我们的探究,以及什么理性概念可以支持它们的观点。
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引用次数: 0
Contingency, necessity, and the problem of organic form in Kant. 偶然性,必然性,以及康德的有机形式问题。
IF 0.5 3区 哲学 Q2 HISTORY & PHILOSOPHY OF SCIENCE Pub Date : 2025-11-10 DOI: 10.1080/00033790.2025.2584334
Boris Demarest

In this paper, I argue that, by the contingency of organic forms with regard to the mechanical laws of nature, Kant means their accidental or coincidental nature with respect to these laws. Something is coincidental if it cannot be shown why it must be the case given mechanical laws, because it occurs not necessarily or typically but rather due to a specific convergence of circumstances. I suggest that Kant shares with a tradition going back to Aristotle the belief that coincidences neither can nor need to be explained. For Kant, organic forms are not therefore mechanically inexplicable because they are impossible on mechanical laws alone, but rather because they would have to be viewed as mere coincidences on the basis of mechanical laws alone and thereby unworthy of scientific inquiry. To be able to regard the specifically organic features of organic forms as capable and worthy of scientific investigation, Kant argues that we must regard organic forms as due to purposive agency. I briefly indicate how this outlook translates into Kant's own engagement with the life sciences, specifically his insistence that the features underlying human racial variety are purposive rather than mere environmentally induced traits.

在本文中,我认为,康德所说的有机形式相对于自然的机械规律的偶然性,是指它们相对于这些规律的偶然性或巧合性。如果某件事不能证明为什么在机械定律下它一定是这样的,那么它就是巧合,因为它的发生不是必然的或典型的,而是由于环境的特定收敛。我认为康德和亚里士多德的传统一样,认为巧合既不能也不需要解释。在康德看来,有机形式之所以在机械上是不可解释的,并不是因为它们单凭力学规律是不可能的,而是因为它们只能被看作是单凭力学规律的偶然现象,因而不值得科学研究。康德认为,要把有机形式的特殊有机特征看作是有能力和值得进行科学研究的,就必须把有机形式看作是目的性能动性的产物。我简要地指出,这种观点是如何转化为康德自己与生命科学的接触的,特别是他坚持认为,人类种族多样性的特征是有目的的,而不仅仅是环境诱发的特征。
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引用次数: 0
Kant and Forster on the unity of mankind. 康德和福斯特关于人类统一性的观点。
IF 0.5 3区 哲学 Q2 HISTORY & PHILOSOPHY OF SCIENCE Pub Date : 2025-11-10 DOI: 10.1080/00033790.2025.2584331
Jennifer Mensch

In 1786 Georg Forster published a widely read critique of Immanuel Kant's theory of race. Since then, the dispute between Forster and Kant on the unity of mankind has been widely discussed in light of both Forster's essay and Kant's decision to write a lengthy response to Forster in 1788. In this discussion I widen the frame for considering the two positions by focusing on Kant's lectures on Physical Geography. In these notes Kant emerges as an ethnographer asking many of the same questions posed by Forster himself, a man who had become famous since his time spent onboard James Cook's second voyage to the South Pacific (1772-1775). Placing Kant's ethnography in closer conversation with Forster reveals the many similarities (and some well-known differences) between the two. By including some of Forster's other writings from the 1780s in an assessment of their debate, moreover, a much fuller picture can be had regarding natural historical investigations into the unity and difference of mankind at the time.

1786年,乔治·福斯特发表了一篇广泛阅读的批判伊曼努尔·康德种族理论的文章。从那以后,福斯特和康德关于人类统一性的争论被广泛讨论,无论是福斯特的文章,还是康德在1788年决定写一篇长篇回应福斯特的文章。在这次讨论中,我将重点放在康德关于自然地理学的讲座上,从而扩大了考虑这两种立场的框架。在这些笔记中,康德以民族志学家的身份出现,提出了福斯特本人提出的许多同样的问题,福斯特本人因在詹姆斯·库克的第二次南太平洋航行中(1772-1775)而出名。将康德的民族志与福斯特进行更密切的对话,可以揭示两者之间的许多相似之处(以及一些众所周知的差异)。此外,通过将福斯特在18世纪80年代的其他一些著作纳入对他们辩论的评估,可以对当时人类的统一和差异的自然历史研究有一个更全面的了解。
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引用次数: 0
Kant on the age of the world. 康德论世界的年龄。
IF 0.5 3区 哲学 Q2 HISTORY & PHILOSOPHY OF SCIENCE Pub Date : 2025-11-10 DOI: 10.1080/00033790.2025.2584337
Fabian Burt

In his Universal Natural History and Theory of the Heavens (1755), Kant claims that the Universe has existed for 'a series of millions of years and centuries'. In light of the authority of biblical chronology, according to which God created the world some 6000 years ago, this claim is remarkable. In this paper, I argue that the novelty of Kant's account of the age of the world does not only lie in the sheer size of the number he gives, but also in the fact that it was motivated by cosmological considerations (as opposed to the proto-geological considerations that motivated other contemporary theories that challenged the biblical dogma). Since Kant does not explain how he comes to claim such a high number for the age of the world, I give two possible reasons that can be reconstructed from his 1755 works, both of which rely on his conception of the vast spatial dimension of the visible Universe. The first reason combines this conception with Kant's cosmogony, the second states that the vast spatial extension of the Universe implies an extremely long duration of its existence due to the finitude of the speed of light.

在他的《宇宙自然史》和《天堂理论》(1755)中,康德声称宇宙已经存在了“数百万年和数百年”。根据圣经年表的权威,上帝在大约6000年前创造了世界,这种说法是值得注意的。在这篇论文中,我认为康德关于世界年龄的描述的新颖之处不仅在于他给出的数字的绝对规模,而且还在于它是由宇宙学的考虑所驱动的(与激发其他挑战圣经教条的当代理论的原始地质学考虑相反)。由于康德没有解释他是如何声称世界年龄如此之高的,我给出了两个可能的理由,可以从他1755年的著作中重建,这两个理由都依赖于他对可见宇宙的广阔空间维度的概念。第一个理由将这一概念与康德的宇宙论结合起来,第二个理由认为,由于光速的有限性,宇宙的巨大空间延伸意味着它存在的时间极长。
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引用次数: 0
Ether and derivative forces in Kant's natural philosophy. 康德自然哲学中的以太与派生力。
IF 0.5 3区 哲学 Q2 HISTORY & PHILOSOPHY OF SCIENCE Pub Date : 2025-11-06 DOI: 10.1080/00033790.2025.2584336
Stephen Howard

Debates over the nature, status, and explanatory scope of various ethers were widespread among seventeenth- and eighteenth-century natural philosophers. This article argues that an important feature of Kant's mature natural philosophy is its attempt to combine these issues with the Leibnizian problem of the relation between fundamental and derivative forces. On the one hand, Kant employs the framework of fundamental and derivative forces to structure the disparate phenomena that were at stake in the ether debates. On the other hand, the ether is central to his explanation of the relation between fundamental and derivative forces. After examining the relevant texts and surveying different interpretative options, the article argues that Kant favours an ether-based account of the relationship between fundamental and derivative forces. The account is fleshed out through the case of cohesive force, which I show to be an effect not of the pressure of the ether but of differences in its oscillatory motion.

关于各种以太的性质、地位和解释范围的争论在17世纪和18世纪的自然哲学家中广泛存在。本文认为,康德成熟的自然哲学的一个重要特征是,它试图将这些问题与莱布尼兹的基本力与派生力的关系问题结合起来。一方面,康德运用基本力和衍生力的框架来构建以太辩论中利害攸关的不同现象。另一方面,以太是他解释基本力和派生力之间关系的核心。在考察了相关文本和考察了不同的解释选择之后,本文认为康德倾向于以以太为基础的基本力和派生力之间关系的描述。这种解释通过内聚力的例子得到充实,我认为这不是以太压力的影响,而是其振荡运动差异的影响。
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引用次数: 0
From Greek to Latin Europe and back: recovering and interpreting Theophrastus' De odoribus in the early modern age. 从希腊到拉丁欧洲再回来:恢复和解释近代早期泰奥弗拉斯图斯的《气味论》。
IF 0.5 3区 哲学 Q2 HISTORY & PHILOSOPHY OF SCIENCE Pub Date : 2025-11-05 DOI: 10.1080/00033790.2025.2582587
Tommaso De Robertis

The article traces the reception history of Theophrastus' De odoribus in the early modern period. It first examines the recovery and circulation of the earliest manuscript witnesses of the work in fifteenth-century Italy and the publication in print of the Greek text (Venice, 1497). As a work devoted to the preparation and usages of unguents and powders, the De odoribus provided a useful repertoire of recipes for botanists and other practitioners of the life sciences. The work, however, was transmitted very poorly, so that early modern scholars had to engage in meticulous philological analyses in order to restore the text's readability. The second part of the article focuses on the Latin translations of and philological commentaries on the work produced between the mid-sixteenth and the early seventeenth century. These were made by Adrian Turnèbe (1556), Jacques Daléchamps (ca. 1575), and Daniel Fourlanos (printed in 1605, but completed before), the last being a Greek scholar who, after years of activity spent in Padua, eventually returned to his native Crete to bring his work on Theophrastus to completion. The article shows that, while Turnèbe remained the standard authority for the interpretation of Theophrastus' De odoribus, both Daléchamps and Fourlanos contributed to the further improvement of the text and paid special attention to the medical framework of the work.

本文追溯了近代早期泰奥弗拉斯托斯的《臭气论》的接受历史。它首先考察了15世纪意大利最早的手稿的恢复和流通,以及希腊文本的出版印刷(威尼斯,1497)。作为一本专门研究药膏和药粉的制备和用法的著作,《气味学》为植物学家和其他生命科学实践者提供了一套有用的食谱。然而,这部作品的传播非常糟糕,因此早期的现代学者不得不进行细致的语言学分析,以恢复文本的可读性。文章的第二部分侧重于16世纪中期至17世纪早期作品的拉丁文翻译和语言学评论。这些是由阿德里安·特恩布(1556年)、雅克·达尔萨姆尚(约1575年)和丹尼尔·福拉诺斯(1605年印刷,但在此之前完成)制作的,最后一位是一位希腊学者,他在帕多瓦活动了多年后,最终回到了他的家乡克里特岛,完成了他对泰奥弗拉斯托斯的研究。这篇文章表明,虽然turn be仍然是解释Theophrastus' De odoribus的标准权威,但dal champs和Fourlanos都为进一步改进案文作出了贡献,并特别注意了工作的医学框架。
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