Classically, an osculating circle at a point of a planar curve is introduced technically, often with formula giving its radius and the coordinates of its center. In this note, we propose a new and intuitive definition of this concept: among all the circles which have, on the considered point, the same tangent as the studied curve and thus seem equal to the curve through a microscope, the osculating circle is this that seems equal to the curve through a microscope within (...) microscope. (shrink)

Bas van Fraassen’s recent book Scientific Representation: Paradoxes of Perspective modifies and refines the “constructive empiricism” of The Scientific Image in a number of ways. This paper investigates the changes concerning one of the most controversial aspects of the overall position, that is, van Fraassen’s agnosticism concerning the veridicality of microscopic observation. The paper tries to make plausible that the new formulation of this agnosticism is an advance over the older rendering. The central part of this investigation is an attempt (...) to answer Marc Alspector-Kelly’s 2004-criticism of an early version of van Fraassen’s new position. Alspector-Kelly’s contribution it is to date the most extensive attack on van Fraassen’s twenty-first-century work on the topic of microscopic observation. One of the central ideas emerging from the present discussion is a link between the debate over the veridicality of microscopic observation and the issue of the theory-ladenness of experience. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:The Microscope of Experience: Christian Garve’s Translation of Cicero’s De Officiis (1783)Johan van der ZandeDuring the negotiations leading to the Treaty of Teschen of 1779, ending the phony War of Bavarian Succession, Frederick II and his court stayed in Breslau, the capital of Silesia. There, in conversation with Christian Garve, the city’s most famous son, the king strongly recommended a new German translation of Cicero’s On Moral Duties (De (...) Officiis), one of the classical texts of humanist philosophy and his favorite book. Frederick’s faithful subject dutifully obliged his sovereign. Four years later, in the subservient language of a dedication to a royal patron, Garve offered in due obedience to Frederick a result that, “perhaps flawed,” was “vindicated by the efforts directed toward the execution of the command.” 1Yet Garve’s interest in Cicero differed markedly from that of Frederick. After all, as Garve wrote in the preface to the philosophical commentary on his translation, Cicero’s book was written for “persons of the higher classes who participated in the affairs of state” and for whom “moral prescription often transformed into political instruction.” Clearly that was not the world in which Garve lived. The son of an artisan, Garve, after a brief stint as a professor of philosophy in Leipzig in the early 1770s, was forced by his illness to spend the rest of his life as a reclusive private scholar in his hometown. He admitted that Cicero sometimes “condescended to deal with those classes who occupy themselves as educators and scholars.” The producing classes, however, “this vast, indispensable, and valuable part of humankind,” could only find prescriptions [End Page 75] for the virtuous life in Cicero’s work insofar as they were human beings, not in relation to their station in life. In general terms Garve thought that Cicero had neglected to deal sufficiently with domestic duties, a reproach which he also leveled against another intellectual pedigree, Adam Ferguson. This did not mean, however, that Garve reduced the citizen’s actions to the private sphere, where they could be productive economically and concerned only with their own Bildung. On the contrary, for Garve useful citizens were those who committed themselves to sociability and to political engagement. Moral actions were not only to be judged according to their motivation (as Kant asserted) but also on their effects on society at large.This different emphasis, I suggest, was typical of the German popular philosophers, who in the time span between Christian Wolff and Immanuel Kant formulated a philosophy of life and among whom Garve emerged as the foremost representative. As a group they constituted a philosophical movement in their own right and were not merely, as they are usually described, the popularizers of Wolff’s philosophy. Rather, popular philosophy was a characteristic compound of Wolffian rationalism and British empiricism. Some popular philosophers, mostly the older generation, were more inclined to the rationalist and others, among them Garve, to the empirical end of this spectrum. Little concerned with epistemological problems or with the irrational cult of life as were the life philosophies of the nineteenth century, the popular philosophers were primarily interested in the virtuous life, in a philosophical theory of moral and aesthetic action. Theirs was a “science of man,” that is, a combination of practical philosophy and literary skills with the goal of morally educating a literate but non-specialized public to be useful citizens of the absolute state. They wanted to speak with propriety on all themes of human existence rather than pursue those philosophical questions not directly related to human life. 2 I entirely agree with a recent commentator who describes Garve’s concerns as non-bourgeois, or better, pre-bourgeois and deeply rooted in humanist values. 3This approach shows in Garve’s Cicero translation and commentary. In Leipzig he had attended the lectures of the classical philologist Friedrich Wilhelm Reiz, who trained his students in precise, critical scholarship. When Garve became a professor himself, he and Reiz anonymously published a Latin edition of Aristotle’s Rhetoric. Later, Garve wrote that his own philosophy was indebted to Reiz who had pointed out to him the close relationship between linguistic and... (shrink)

I introduce two new tools in experimental neurobiology, optogenetics and DREADDs. These tools permit unprecedented control over activity in specific neurons in behaving animals. In addition to their inherent scientific interest, these tools make an important contribution to philosophy of science. They illustrate the very premises of Ian Hacking’s “microscope” argument for the relative independence of experiment from theory. This new example is important for generalizing Hacking’s argument because the background sciences and the fields of engineering producing these tools differ (...) significantly. (shrink)

In Part I of this series, we presented the microscopic approach to Souslin-tree constructions, and argued that all known ⋄-based constructions of Souslin trees with various additional properties may be rendered as applications of our approach. In this paper, we show that constructions following the same approach may be carried out even in the absence of ⋄. In particular, we obtain a new weak sufficient condition for the existence of Souslin trees at the level of a strongly inaccessible cardinal. We (...) also present a new construction of a Souslin tree with an ascent path, thereby increasing the consistency strength of such a tree's nonexistence from a Mahlo cardinal to a weakly compact cardinal. Section 2 of this paper is targeted at newcomers with minimal background. It offers a comprehensive exposition of the subject of constructing Souslin trees and the challenges involved. (shrink)

Legendre transform between thermodynamic quantities such as the Helmholtz free energy and entropy plays a key role in the formulation of the canonical ensemble. In the standard treatment, the transform exchanges the independent variable from the system’s internal energy to its conjugate variable—the inverse temperature of the heat reservoir. In this article, we formulate a microscopic version of the transform between the free energy and Shannon entropy of the system, where the conjugate variables are the microstate probabilities and the energies (...) (scaled by the inverse temperature). The present approach gives a non-conventional perspective on the connection between information-theoretic measure of entropy and thermodynamic entropy. We focus on the exact differential property of Shannon entropy, utilizing it to derive central relations within the canonical ensemble. Thermodynamics of a system in contact with the heat reservoir is discussed in this framework. Other approaches, in particular, Jaynes’ maximum entropy principle is compared with the present approach. (shrink)

According to Stephen Davies, there is no such thing as free beauty. Using actual and imaginary examples, he tries to show that our aesthetic evaluations of objects inevitably pay heed to the kinds to which they belong or in which we judge them to belong. His examples are not as compelling as he thinks, however. Furthermore, nature looked at through a microscope (or a telescope) provides us with a particular class of counter-examples which have not been dealt with by Davies (...) and which put considerable pressure on his account. (shrink)

In this commentary, the microscopic animals of the genus Rotifera, or “rotifers,” emerge as a theory-provoking nonhuman animal. Rotifers embody otherness in ways that may intrigue scholars within both Human-Animal Studies and feminist science studies. In their encounter with rotifers, such fields of research might also engage each other in new, unexpected, and fruitful ways, as is here argued.

In the seventeenth century the microscope opened up a new world of observation, and, according to Catherine Wilson, profoundly revised the thinking of scientists and philosophers alike. The interior of nature, once closed off to both sympathetic intuition and direct perception, was now accessible with the help of optical instruments. The microscope led to a conception of science as an objective, procedure-driven mode of inquiry and renewed interest in atomism and mechanism. Focusing on the earliest forays into microscopical research, from (...) 1620 to 1720, this book provides us with both a compelling technological history and a lively assessment of the new knowledge that helped launch philosophy into the modern era. Wilson argues that the discovery of the microworld--and the apparent role of living animalcula in generation, contagion, and disease--presented metaphysicians with the task of reconciling the ubiquity of life with human-centered theological systems. It was also a source of problems for philosophers concerned with essences, qualities, and the limits of human knowledge, whose positions are echoed in current debates about realism and instrument-mediated knowledge. Covering the contributions of pioneering microscopists (Leeuwenhoek, Swammerdam, Malpighi, Grew, and Hooke) and the work of philosophers interested in the microworld (Bacon, Descartes, Leibniz, Malebranche, Locke, and Berkeley), she challenges historians who view the abstract sciences as the sole catalyst of the Scientific Revolution as she stresses the importance of observational and experimental science to the modern intellect. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:The Microscope of Experience: Christian Garve’s Translation of Cicero’s De Officiis (1783)Johan van der ZandeDuring the negotiations leading to the Treaty of Teschen of 1779, ending the phony War of Bavarian Succession, Frederick II and his court stayed in Breslau, the capital of Silesia. There, in conversation with Christian Garve, the city’s most famous son, the king strongly recommended a new German translation of Cicero’s On Moral Duties (De (...) Officiis), one of the classical texts of humanist philosophy and his favorite book. Frederick’s faithful subject dutifully obliged his sovereign. Four years later, in the subservient language of a dedication to a royal patron, Garve offered in due obedience to Frederick a result that, “perhaps flawed,” was “vindicated by the efforts directed toward the execution of the command.” 1Yet Garve’s interest in Cicero differed markedly from that of Frederick. After all, as Garve wrote in the preface to the philosophical commentary on his translation, Cicero’s book was written for “persons of the higher classes who participated in the affairs of state” and for whom “moral prescription often transformed into political instruction.” Clearly that was not the world in which Garve lived. The son of an artisan, Garve, after a brief stint as a professor of philosophy in Leipzig in the early 1770s, was forced by his illness to spend the rest of his life as a reclusive private scholar in his hometown. He admitted that Cicero sometimes “condescended to deal with those classes who occupy themselves as educators and scholars.” The producing classes, however, “this vast, indispensable, and valuable part of humankind,” could only find prescriptions [End Page 75] for the virtuous life in Cicero’s work insofar as they were human beings, not in relation to their station in life. In general terms Garve thought that Cicero had neglected to deal sufficiently with domestic duties, a reproach which he also leveled against another intellectual pedigree, Adam Ferguson. This did not mean, however, that Garve reduced the citizen’s actions to the private sphere, where they could be productive economically and concerned only with their own Bildung. On the contrary, for Garve useful citizens were those who committed themselves to sociability and to political engagement. Moral actions were not only to be judged according to their motivation (as Kant asserted) but also on their effects on society at large.This different emphasis, I suggest, was typical of the German popular philosophers, who in the time span between Christian Wolff and Immanuel Kant formulated a philosophy of life and among whom Garve emerged as the foremost representative. As a group they constituted a philosophical movement in their own right and were not merely, as they are usually described, the popularizers of Wolff’s philosophy. Rather, popular philosophy was a characteristic compound of Wolffian rationalism and British empiricism. Some popular philosophers, mostly the older generation, were more inclined to the rationalist and others, among them Garve, to the empirical end of this spectrum. Little concerned with epistemological problems or with the irrational cult of life as were the life philosophies of the nineteenth century, the popular philosophers were primarily interested in the virtuous life, in a philosophical theory of moral and aesthetic action. Theirs was a “science of man,” that is, a combination of practical philosophy and literary skills with the goal of morally educating a literate but non-specialized public to be useful citizens of the absolute state. They wanted to speak with propriety on all themes of human existence rather than pursue those philosophical questions not directly related to human life. 2 I entirely agree with a recent commentator who describes Garve’s concerns as non-bourgeois, or better, pre-bourgeois and deeply rooted in humanist values. 3This approach shows in Garve’s Cicero translation and commentary. In Leipzig he had attended the lectures of the classical philologist Friedrich Wilhelm Reiz, who trained his students in precise, critical scholarship. When Garve became a professor himself, he and Reiz anonymously published a Latin edition of Aristotle’s Rhetoric. Later, Garve wrote that his own philosophy was indebted to Reiz who had pointed out to him the close relationship between linguistic and... (shrink)

It is conventional to try to arrive at the Boltzmann principle and the Second Law starting with the laws of dynamics at the microscopic level. In this article the opposite view is presented: Starting with the Second Law, microscopic properties are derived. A classical result of Wien is developed into a general theorem, and the possibility of deriving the Boltzmann principle as a consequence of Carnot's theorem is discussed.

The extension of quantum mechanics to a general functional space (“rigged Hilbert space”), which incorporates time-symmetry breaking, is applied to construct extract dynamical models of entropy production and entropy flow. They are illustrated by using a simple conservative Hamiltonian system for multilevel atoms coupled to a time-dependent external force. The external force destroys the monotonicity of the ℋ-function evolution. This leads to a model of the entropy flow that allows a steady nonequilibrium structure of the emitted field around the unstable (...) particles. (shrink)

Trying to understand better the role played by epistemic artifacts in our quest for reliable knowledge, it is interesting to compare their contribution with the one made by the epistemic organs or systems with which we are naturally endowed. This comparative approach may yield the further benefit of an improved understanding of the nature and epistemic functions of our natural epistemic equipment. In this paper, I shall concern myself with comparing the role of a family of instruments, microscopes, with (...) that of visual systems and with assessing the similarities and dissimilarities in accounts of their epistemic contributions. (shrink)

SUMMARYThis paper discusses the scientific instruments made and used by the microscopist Antony van Leeuwenhoek. The immediate cause of our study was the discovery of an overlooked document from the Delft archive: an inventory of the possessions that were left in 1745 after the death of Leeuwenhoek's daughter Maria. This list sums up which tools and scientific instruments Leeuwenhoek possessed at the end of his life, including his famous microscopes. This information, combined with the results of earlier historical research, (...) gives us new insights about the way Leeuwenhoek began his lens grinding and how eventually he made his best lenses. It also teaches us more about Leeuwenhoek's work as a surveyor and a wine gauger.A further investigation of the 1747 sale of Leeuwenhoek's 531 single lens microscopes has not only led us to the identification of nearly all buyers, but also has provided us with some explanation about why only a dozen of this large number of microscopes has survived. (shrink)

El microscopio constituye un instrumento de vital importancia para la Microbiología y para muchas otras ramas de la Medicina. Se realizó una revisión bibliográfica con el objetivo de profundizar los conocimientos sobre el microscopio, sobre la historia de este en el período comprendido desde su creación hasta la actualidad a nivel mundial y más brevemente en Cuba. El trabajo aborda también, con una corta descripción, los diferentes tipos existentes, así como algunas de las aplicaciones más importantes en la Microbiología. This (...) bibliographic review was carried out with the objective to deepen the existing knowledge about the history of the microscope since its origin up to date worldwide which and in Cuba, taking into account that it constitutes an instrument of vital importance for microbiology and for many other branches of medicine. This work also deals with a brief description of the different types of microscopes as well as some of the most important applications in microbiology. (shrink)

Martin Kusch has recently defended Bas van Fraassen’s controversial view on microscopes, according to which these devices are not ‘windows on an invisible world’, but rather ‘image generators’. The two authors also claim that, since in a microscopic detection it is not possible to empirically investigate the geometrical relations between all the elements involved, one is entitled to maintain an agnostic stance about the reality of the entity allegedly represented by the produced image. In this paper I argue that, (...) contrary to what Kusch maintains, this might not be a neutral way to render scientific evidence. Moreover, a constructive empiricist can support a realist interpretation of microscopic images. In fact, constructive empiricism and van Fraassen’s own anti-realism do not necessarily amount to the same thing. (shrink)

Quantum entanglement lies at the foundation of quantum mechanics. Witness Schrödinger highlighting entanglement with his puzzling cat thought experiment and Einstein deriding it as “spooky action at a distance.” Nonetheless, quantum entanglement has been verified experimentally and is essential for quantum information and quantum computing. The quantum superposition principle, together with entanglement, dramatically contrasts the quantum from the classical description of reality. We attempt to integrate physical reality with a Christian worldview.

Founding our analysis on the Geneva-Brussels approach to quantum mechanics, we use conventional macroscopic objects as guiding examples to clarify the content of two important results of the beginning of twentieth century: Einstein–Podolsky–Rosen’s reality criterion and Heisenberg’s uncertainty principle. We then use them in combination to show that our widespread belief in the existence of microscopic particles is only the result of a cognitive illusion, as microscopic particles are not particles, but are instead the ephemeral spatial and local manifestations of (...) non-spatial and non-local entities. (shrink)

Some of the physical implications involved in self-consistently selecting a superconducting (nonequivalent) representation for the BCS Hamiltonian are developed and discussed. This is done by comparing the phase symmetry of our system in original variables with that same symmetry when written in terms of physical variables. It is shown explicitly that Goldstone's theorem is satisfied and that dynamical rearrangement of symmetry has taken place in going from original to physical variables. Thus, it is found that the original phase symmetry transformation (...) is taken up by physical “massless” fields and that the Bose-Einstein condensations of these fields in the physical (superconducting) ground state produce the asymmetry by “printing” the quantum electron numbern on that state. (shrink)