Atoms, complexes, and demonstration: Posterior analytics 96b15-25

There is agreement neither concerning the point that is being made in Posterior analytics 96b15–25 nor the issue Aristotle intends to address. There are two major lines of interpretation of this passage. According to one, sketched by Themistius and developed by Philoponus and Eustratius, Aristotle is primarily concerned with determining the definitions of the infimae species that fall under a certain genus. They understand Aristotle as arguing that this requires collating definitional predictions, seeing which are common to which species. Pacius, on the other hand, takes Aristotle to be saying that a genus is studied scientifically through first determining the infimae species that fall under that genus. This interpretation attributes to Aristotle a distinction between primary and derivative subjects. I argue for Pacius’s interpretation, defending it against Barnes’s objections.     

On the cyclization of farnesic acid

Summary Acetic anhydride treatment of farnesic acids leads to the expected cyclohexenones (V and VI) and to the alternative formation of the [3. 2. 0]-bicycloheptenones (IV orVII) depending on the geometry of the central double bond of the acid.This work has received financial support from Consiglio Nazionale delle Ricerche.     

Towards a science of the individual: the Aristotelian search for scientific knowledge of individual entities

This article seeks to take a step towards recognizing that science can deal with the concrete and individual as well as the universal. I shall concentrate on some of Aristotle’s texts, as there is a long tradition going back to Aristotle, according to which science deals only with the universal, although his work also contains texts of a very different tenor. He tries to improve the process of definition as an attempt to bring science closer to the concrete, but ends up realizing that there are some unreachable limits. There is, however, a second Aristotelian approach to the problem in Metaphysica M 10, a passage which takes scientific rapprochement to the individual further by introducing a distinction between science in potential and science in act. The former is universal, but the latter deals with individual substances and processes. Aristotle himself acknowledges here that in one sense science is universal and in another it is not, a position that raises important ontological and epistemological problems. Some suggestions are also offered concerning the kind of truth applicable to science in act, that is, practical truth.     

A close examination of the pseudo-Aristotelian Mechanical Problems: The homology between mechanics and poetry as technē

The pseudo-Aristotelian Mechanical Problems is the earliest known ancient Greek text on mechanics, principally concerned with the explanation of a variety of mechanical phenomena using a particular construal of the principle of the lever. In the introduction, the author—thought to be an early Peripatetic—quotes the tragic poet Antiphon to summarise a discussion of the technē-physis (art-nature) relationship and the status of mechanics as a technē. I argue that this citation of a poet is an Aristotelian cultural signature, intended to guide its readers towards a better understanding of the nature of mechanics as expounded in the Mechanical Problems. By analysing several instances where Aristotle cites Antiphon (as well as other tragic poets) in the Aristotelian corpus, I propose that both the author of the Mechanical Problems and Aristotle use poets for the purpose of persuasion. This is in turn explained by understanding the homologous relationship between mechanics-as-technē (according to the author of the Mechanical Problems) and poetics-as-technē (according to Aristotle) in terms of their shared status as poiētikē technē (productive art) and claims to universal knowledge. A final facet of the proposed relationship between mechanics and poetry is hypothesised on the grounds of their mimetic nature.     

Mathematical method and Newtonian science in the philosophy of Christian Wolff

This paper aims to illuminate Christian Wolff’s view of mathematical reasoning, and its use in metaphysics, by comparing his and Leibniz’s responses to Newton’s work. Both Wolff and Leibniz object that Newton’s metaphysics is based on ideas of sense and imagination that are suitable only for mathematics. Yet Wolff expresses more regard (than Leibniz) for Newton’s scientific achievement. Wolff’s approval of the use of imaginative ideas in Newtonian mathematical science seems to commit him to an inconsistent triad. For he rejects their use in metaphysics, and also holds that every scientific discipline must follow mathematics’ method. A facile resolution would be to suppose Wolff identifies the method of mathematics with the order in which propositions are deduced, or with “analysis” that reveals the structure of concepts. This would be to assimilate Wolff’s view to Leibniz’s (on which all mathematical propositions are ultimately derived from definitions, and definitions are justified by conceptual analysis). On this construal, mathematical reasoning involves only the understanding. But Wolff conceives mathematics’ method more broadly, to include processes of concept-formation which involve perception and imagination. Thus my way of resolving the tension is to find roles for perception and imagination in the formation of metaphysical concepts.     

The role of glycine in the biosynthesis of steroids

Zusammenfassung Während der Biosynthese von Cholesterol mit homogenisierter Rattenleber wird [2-¹⁴C] des Glycins viel besser eingebaut als [1-¹⁴C].Saccharomyces cerevisiae produziert radioaktives Squelen (ausser Ergosterol mit Radioaktivität des Ringsystems) mit [2-¹⁴C] Glycin und mit [3-¹⁴C] Serin, aber nicht mit [1-¹⁴C] Glycin.

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Studies on Biosynthesis. Part VI. For Part V, seeA. K. Bose, K. S. Khanchandani andB. L. Hungund, Experientia,27, 1403 (1971). b) Presented at the 164th National Meeting of the American Chemical Society, New York, August, 1972.

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The support of this research by Stevens Institute of Technology and Sandoz Foundation is gratefully acknowledged. We wish to thank Drs.P. T. Funke, M. S. Manhas, P. K. Bhattacharyya, M. Anchel andH. Levey for valuable discussions and help with some of the experiments.     

John case on art and nature

John Case (d. 1600), the most important English Aristotelian of the Renaissance period, has not yet received the attention he deserves. In his Lapis philosophicus (Oxford, 1599), an exposition of Aristotle's Physics, is found a discussion of the relation of nature to art which parallels in many ways that formulated a few years later in the writings of Francis Bacon. Case argues, in a way more reminiscent of the works of Giambattista della Porta than of those of Aristotle, that the natural philosopher can legitimately apply the productive arts in helping nature to fulfill her function. Moreover, while rejecting the excessive claims of the Paracelsians, Case does accept the transmutational claims of the alchemists. In the final analysis, his ‘Aristotelianism’ has been tempered by the tradition of Renaissance natural magic. Like many other Peripatetic thinkers of the period, Case shows himself to be an eclectic, drawing materials from a wide variety of sources and open to many of the new scientific tendencies then developing.     

Empirical progress and nomic truth approximation revisited

In my From Instrumentalism to Constructive Realism (2000) I have shown how an instrumentalist account of empirical progress can be related to nomic truth approximation. However, it was assumed that a strong notion of nomic theories was needed for that analysis. In this paper it is shown, in terms of truth and falsity content, that the analysis already applies when, in line with scientific common sense, nomic theories are merely assumed to exclude certain conceptual possibilities as nomic possibilities.     

Kant and the scope of the analytic method

The paper investigates Kant's pre-critical views on the use of analytic and synthetic methods in Newtonian science and in philosophical reasoning. In his 1755/56 writings, Kant made use of two variants of the analytic method, i.e., conceptual analysis in a Cartesian (or Leibnizean) sense, and analysis of the phenomena in a Newtonian sense. His Prize Essay (1764) defends Newton's analytic method of physics as appropriate for philosophy, in contradistinction to the synthetic method of mathematics. A closer look, however, shows that Kant does not identify Newton's method with conceptual analysis, but just suggests a methodological analogy between both methods. Kant’s 1768 paper on incongruent counterparts also fits in with his pre-critical use of conceptual analysis. Here, Kant criticizes Leibniz’ relational concept of space, arguing that it is incompatible with the phenomenon of chiral objects. Since this result was in conflict with his pre-critical views about space, Kant abandoned the analytic method of philosophy in favour of his critical method. The paper closes by comparing Kant's pre-critical analytic method and the way in which he once again took up the methodological analogy between Newtonian science and metaphysics, in the preface B to the Critique of Pure Reason, in the context of his thought experiment of pure reason.     

Nicotinic acetylcholine receptors in attention circuitry: the role of layer VI neurons of prefrontal cortex

Cholinergic modulation of prefrontal cortex is essential for attention. In essence, it focuses the mind on relevant, transient stimuli in support of goal-directed behavior. The excitation of prefrontal layer VI neurons through nicotinic acetylcholine receptors optimizes local and top-down control of attention. Layer VI of prefrontal cortex is the origin of a dense feedback projection to the thalamus and is one of only a handful of brain regions that express the α5 nicotinic receptor subunit, encoded by the gene chrna5. This accessory nicotinic receptor subunit alters the properties of high-affinity nicotinic receptors in layer VI pyramidal neurons in both development and adulthood. Studies investigating the consequences of genetic deletion of α5, as well as other disruptions to nicotinic receptors, find attention deficits together with altered cholinergic excitation of layer VI neurons and aberrant neuronal morphology. Nicotinic receptors in prefrontal layer VI neurons play an essential role in focusing attention under challenging circumstances. In this regard, they do not act in isolation, but rather in concert with cholinergic receptors in other parts of prefrontal circuitry. This review urges an intensification of focus on the cellular mechanisms and plasticity of prefrontal attention circuitry. Disruptions in attention are one of the greatest contributing factors to disease burden in psychiatric and neurological disorders, and enhancing attention may require different approaches in the normal and disordered prefrontal cortex.     

Supertasks, dynamical attractors and indeterminism

Atkinson [2006. Losing energy in classical, relativistic and quantum mechanics. in Studies in History and Philosophy of Modern Physics, 38 To appear.] has obtained some new results on supertasks and the violation of conservation laws. I discuss these results here, extending them from a different perspective, which, by focusing on considerations of indeterminism, facilitates the natural introduction in this context of the concept of dynamical attractor.     

Explicit nomenclature and classification in Pliny’s Natural History XXXII

Pliny’s Natural History has been traditionally considered as the unoriginal work of an uncritical compiler. This has also been held to be true of the “biological” books, especially when one compares them with the works of Aristotle, one of Pliny’s main authorities in this domain. Aristotle’s achievements would be remarkable, especially in the field of classification, of which the philosopher is traditionally celebrated as the scientific father. However, by carefully reading HN XXXII it is possible to find a certain “taxonomic” awareness—as, for instance, the need for a more accurate nomenclature in order to distinguish some aquatic animals beyond the proliferation of different vernacular terms—which is not to be found in the works of Aristotle. This, in a rather positivist way, may seem to anticipate Renaissance naturalists, but is in fact the consequence of both Pliny’s encyclopedic project and contingent ethnobiological, linguistic and social factors.     

Essay review

This paper treats van Helmont's attack on Aristotle as an example of the difficulty of accounting for one author's attack on another by simply comparing the texts of the two authors. The Aristotle that van Helmont is attacking is the Aristotle represented in contemporary textbooks, and the attack on his authority is closely connected to the attack on the importance of verbal disputation in education. The importance of knowledge of Aristotle and of argumentative skills means van Helmont displays them to claim competence in them, while arguing they are worthless, and states many of his own doctrines as denials of Aristotelian doctrines. After a brief account of van Helmont's cosmology, three texts of his are examined: the conclusion of Causae et initia naturalium, where van Helmont demonstrates the worthlessness of Aristotelian method, by giving an example of his own method's greater success, the beginning of Physica Aristotelis et Galeni ignara, where he argues in Aristotelian terms against an Aristotelian definition of nature, and his general attack on Aristotelian method and on verbal disputation in Logica inutilis.     

A hundred years of numbers. An historical introduction to measurement theory 1887–1990: Part I: The formation period. Two lines of research: Axiomatics and real morphisms, scales and invariance

The aim of this paper is to reconstruct the historical evolution of the so-called Measurement Theory (MT). MT has two clearly different periods, the formation period and the mature theory, whose borderline coincides with the publication in 1951 of Suppes' foundational work, ‘A set of independent axioms for extensive quantities’. In this paper two previous research traditions on the foundations of measurement, developed during the formation period, come together in the appropriate way. These traditions correspond, on the one hand, to Helmholtz's, Campbell's and Hölder's studies on axiomatics and real morphisms and, on the other, to the work undertaken by Stevens and his school on scale types and transformations. These two lines of research are complementary in the sense that neither of them is enough taken alone, but together they contain all that is necessary to develop the theory, and it is in Suppes (1951) that these complementary approaches converge and all the elements of the theory are appropriately integrated for the first time. With Suppes' work, then, begins what may be called the ‘mature’ theory, which was to develop rapidly later on, especially during the 1960s. Our historical reconstruction is divided into two parts, each part devoted to one of the periods mentioned. Part I also contains a conceptual introduction which aims to establish the use of some notions, specifically those of measurement and metrization. Although the reconstruction is not exhaustive, it intends to be quite complete and up to date compared to what is available in measurement literature; in this sense the aim of this paper is mainly historical but, although secondarily, it also attempts to make some conceptual and metascientific clarifications on the subject of the theory.     

Neue Gesichtspunkte zum 5. Buch Euklids

Summary The author's purpose is to read the main work of Euclid with modern eyes and to find out what knowledge a mathematician of today, familiar with the works of V. D. Waerden and Bourbaki, can gain by studying Euclid's theory of magnitudes, and what new insight into Greek mathematics occupation with this subject can provide.The task is to analyse and to axiomatize by modern means (i) in a narrower sense Book V. of the Elements, i.e. the theory of proportion of Eudoxus, (ii) in a wider sense the whole sphere of magnitudes which Euclid applies in his Elements. This procedure furnishes a clear picture of the inherent structure of his work, thereby making visible specific characteristics of Greek mathematics.After a clarification of the preconditions and a short survey of the historical development of the theory of proportions (Part I of this work), an exact analysis of the definitions and propositions of Book V. of the Elements is carried out in Part II. This is done word by word. The author applies his own system of axioms, set up in close accordance with Euclid, which permits one to deduce all definitions and propositions of Euclid's theory of magnitudes (especially those of Books V. and VI.).In this way gaps and tacit assumptions in the work become clearly visible; above all, the logical structure of the system of magnitudes given by Euclid becomes evident: not ratio — like something sui generis — is the governing concept of Book V., but magnitudes and their relation of having a ratio form the base of the theory of proportions. These magnitudes represent a well defined structure, a so-called Eudoxic Semigroup with the numbers as operators; it can easily be imbedded in a general theory of magnitudes equally applicable to geometry and physics.The transition to ratios — a step not executed by Euclid — is examined in Part III; it turns out to be particularly unwieldy. An elegant way opens up by interpreting proportion as a mapping of totally ordered semigroups. When closely examined, this mapping proves to be an isomorphism, thus suggesting the application of the modern theory of homomorphism. This theory permits a treatment of the theory of proportions as developed by Eudoxus and Euclid which is hardly surpassable in brevity and elegance in spite of its close affinity to Euclid. The generalization to a classically founded theory of magnitudes is now self-evident.

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Vorgelegt von J. E. Hofmann     

The double nature of Maxwell's physical analogies

Building upon work by Mary Hesse (1974), this paper aims to show that a single method of investigation lies behind Maxwell's use of physical analogies in his major scientific works before the Treatise on Electricity and Magnetism. Key to understanding the operation of this method is to recognize that Maxwell's physical analogies are intended to possess an ‘inductive’ function in addition to an ‘illustrative’ one. That is to say, they not only serve to clarify the equations proposed for an unfamiliar domain with a working interpretation drawn from a more familiar science, but can also be sources of defeasible yet relatively strong arguments from features of the more familiar domain to features of the less. Compared with the reconstructions by Achinstein (1991), Siegel (1991), Harman (1998) and others, which postulate a discontinuity in Maxwell's approach to physical analogy, the account defended in this paper i) makes sense of the continuity in Maxwell's remarks on scientific methodology, ii) explains his quest for a “mathematical classification of physical quantities” and iii) offers a new and more plausible interpretation of the debated episode of the introduction of the displacement current in Maxwell's “On Physical Lines of Forces”.     

Degradation of pheromone biosynthesis-activating neuropeptide (PBAN) by hemolymph enzymes of the tobacco hornworm,Manduca sexta,and the corn earworm,Helicoverpa zea

The tritium-labeled bis-norleucine analog ofHelicoverpa zea pheromone biosynthesis-activating neuropeptide ([³H]NLPBAN) was incubated in vitro with hemolymph fromManduca sexta orH. zea adult females. The incubations resulted in the formation of several tritium-labeled degradation products. At a [³H]NLPBAN concentration of 0.9 μM the degradation proceeded at a very slow but physiologically plausible rate (2–10 fmol/min/μl hemolymph). The primary [³H]NLPBAN degradation reaction inM. sexta hemolymph was not inhibited by 20 μM leupeptin, 0.1 mM amastatin, 1 mM EDTA, 1 mM EGTA, 1 mM 1,10-phenanthroline, or 2 mM 4-(2-aminoethyl)benzenesulfonyl fluoride; but secondary reactions may have been affected, as some of the inhibitors changed the radio-HPLC profile of the degradation products. It is concluded that hemolymph ofM. sexta andH. zea contains peptidase(s) capable of inactivating circulating PBAN.     

A similarity-based approach of Kuhn’s no-overlap principle and anomalies

In their book Cognitive Structure of Scientific Revolutions, Hanne Andersen, Peter Barker, and Xiang Chen reconstruct Kuhn’s account of conceptual structure and change, based on the dynamic frame model. I argue against their reconstruction of anomalies and of the no-overlap principle and propose a competing model, based on the similarity relation. First, I introduce the concept of psychological distance between objects, and then I show that the conceptual structure of a theory consists of a set of natural families, separated by a significant empty space. I argue that, in such a conceptual structure, the ES condition, according to which the distance between natural families should be greater than the distance between any two objects belonging to the same natural family, is satisfied. Anomalous objects lead to the violation of this condition. I argue that in a conceptual structure satisfying the ES condition, a similarity relation could be defined, so that natural families would be similarity classes, satisfying the no-overlap principle. In a structure not satisfying this principle, such similarity classes could not be delimited.     

Quantum decoherence and the approach to equilibrium (II)

In a previous paper [Hemmo, M & Shenker, O (2003). Quantum decoherence and the approach to equilibrium I. Philosophy of Science, 70, 330–358] we discussed a recent proposal by Albert [(2000). Time and chance. Cambridge, MA: Harvard University Press. Chapter 7] to recover thermodynamics on a purely dynamical basis, using the quantum theory of the collapse of the quantum state of [Ghirardi, G, Rimini, A and Weber, T., (1986). Unified dynamics for microscopic and macroscopic systems. Physical Review, D 34, 470–479]. We proposed an alternative way to explain thermodynamics within no collapse interpretations of quantum mechanics. In this paper some difficulties faced by both approaches are discussed and solved: the spin echo experiments, and the problem of extremely light gases. In these contexts, we point out several ways in which the above quantum mechanical approaches as well as some other classical approaches to the foundations of statistical mechanics may be distinguished experimentally.