In this work we will deal with ellipses and ovals, comparing them both from the geometric point of view and from the one of applications. There is a notable similarity between these curves so often it’s not possible to recognize which of the two figures is, unless we consider other elements to distinguish them. We will show the presence of both curves in architectural works and in treatises, motivating their use, when it’s possible, with geometric and technological considerations.

The essay argues for a nuanced understanding of the notorious dissonance between Derrida and Agamben despite their shared interest in troubling the metaphysical separation between human and animal. I argue that a close scrutiny of their differing strategies towards the matrix of framing issues (such as sovereignty and violence) is salient for keeping the ontological question of species difference open. I suggest that the dissonance between the two thinkers is best understood in relation to systemic and rhetorical effects—namely, the encompassing (...) figure of the circle that structures sovereignty, and the rhetoric of hyperbole that disfigures the circle into an ellipse and the line. This ironic interplay appears through their mutually dissonant readings of the localization of life (human and animal) and the situation of power and violence in relation to sovereignty. (shrink)

En 1676, alors qu'il sejourne encore a Paris, Leibniz entreprend de composer un volumineux traite qui restera sans doute l'un de ses ecrits mathematiques les plus fortement charpentes: La quadrature arithmetique du cercle, de l'ellipse et de l'hyperbole et la trigonometrie sans tables qui en est le corollaire. Ce traite se presente comme un abrege exhaustif de la geometrie infinitesimale, dont Leibniz avait pu esperer qu'elle lui ouvrirait les portes de l'Academie des Sciences. Cependant, contraint de quitter la capitale (...) avant sa publication, il abandonnera derriere lui un ouvrage qui n'allait voir le jour qu'en 1993. Le probleme de la quadrature est pretexte a soulever plusieurs enjeux capitaux tant pour les mathematiques que pour la philosophie. Il permet notamment a Leibniz d'examiner avec une grande precision la question de la methode, des fondements, ainsi que des notions cruciales de rigueur et d'infini, tout en mettant en evidence leurs applications pratiques. Si la presente edition de ce texte foisonnant ne reproduit pas l'integralite des variantes, elle en propose une version corrigee et annotee, qui s'accompagne d'une traduction francaise en regard. (shrink)

Voici une nouvelle collection qui fera sans doute le bonheur des enseignants qui doivent initier leurs étudiants à un système philosophique. La collection «Vocabulaire de...», dirigée par Jean-Pierre Zarader, se propose, en effet, de présenter les concepts de base des grands systèmes philosophiques à partir de courts articles qui se développent à trois niveaux: une description générale des contenus du concept, une analyse plus détaillée de ces contenus et la fonction que joue ce concept dans l’ensemble du système. Il s’agit (...) d’introduire le lecteur à la compréhension d’un système philosophique en lui proposant un travail de réflexion sur les concepts fondamentaux de ce système. On a déjà publié dans cette collection Le vocabulaire de Kant par Jean-Marie Vaysse, et on annonce le vocabulaire d’Aristote, de Hegel, de Popper, de Schopenhauer, de Spinoza, de Hume, de Bergson, de Derrida et de Comte. Le vocabulaire de Platon rédigé par Luc Brisson et Jean-François Pradeau est le second ouvrage publié dans cette collection. (shrink)

The little francophone community of Port-au-Port Peninsula in Newfoundland is particularly representative of non-standard French spoken in North America. This paper tries to elaborate a grammatical analysis in order to justify the transcriptions of verb forms in the Dictionnaire des régionalismes de Terre-Neuve. In the sentence “I passait les maisons, [bladʒe] ac le monde”, for instance, [bladʒe] could be interpreted as “blaguait” or “blaguer.” In standard French, the same sentence could be translated as “il allait de porte en porte parler (...) avec les gens” or “il allait de porte en porte, parlait avec les gens.” The omission of the subject pronoun seems to allow the transition toward a unmarked verb form either under a short form, limited to the radical of the verb, without any flexional mark like an imperative form, or a full form, like what Remacle calls “infinitif substitut.” The last stade of this evolution is the nominal phrase, whose use is widely spread in popular French, where it often follows a verb phrase. (shrink)

In 1596, in the Mysterium Cosmographicum, a twenty-five-year-old Johannes Kepler rashly banished lines from the universe. They “scarcely admit of order,” he wrote, and God himself could have no use for them in this “well-ordered universe.” Twenty-five years later, though, Kepler had come to repent the temerity of his youth. “O male factum!” he lamented in a 1621 second edition of the Mysterium – “O what a mistake” it was to dismiss lines, for linearity is revealed in those most perfect (...) and divine motions – the revolutions of the heavenly orbs. Why did Kepler come to lament the rashness of his youth? The answer lies deep in the details of Kepler’s discovery of elliptical orbits in 1605. Kepler struggled to find an empirically adequate description and physically plausible explanation of Mars’s path through the heavens. He realized, though, that his originally spherical notion of location and direction were insufficient to reconcile descriptions and explanations of the planet’s motion. Crucially inspired by the “magnetic philosophy” of William Gilbert, Kepler adopted an oriented conception of space, which finally allowed a plausible mechanism to be constructed for elliptical motion – the true path of the planet. Yet, this oriented space required the stipulation of straight lines. Without straight lines, even God could not construct the planets’ elliptical orbits. (shrink)

This article addresses Paul Churchland’s attempt to identify colors with surface reflectance spectra. Of particular concern is Churchland’s novel method of approximating surface reflectance spectra. While those approximations are generated by objective means and yield a striking match with human phenomenological color space, they are not physically meaningful. The reason for this is that the method used to produce the approximations induces equivalence classes on surface reflectances that are not invariant under physically appropriate changes of measurement convention. This result undermines (...) Churchland’s proposed response to the objection from metamers commonly raised against color physicalism, as his surface reflectance approximations are supposed to provide an objective, physical unifying basis for metamers. *Received December 2007; revised July 2009. †To contact the author, please write to: Department of Logic and Philosophy of Science, School of Social Sciences, 3151 Social Science Plaza A, University of California, Irvine, CA 92697; e‐mail: [email protected]. (shrink)

Cet article traite de la catégorie des pronoms, de sa définition et de la distinction entre les pronoms et les déterminants. L'article débute par un examen de la définition traditionnelle et étymologique du pronom comme mot mis « à la place d'un nom », une définition bien peu adaptée puisque seuls certains pronoms, par exemple, peuvent avoir un fonctionnement anaphorique. Une redéfinition est ensuite proposée, faisant des pronoms une classe fermée de noms grammaticaux qui ne prennent pas de déterminant et (...) dont les membres centraux s'emploient typiquement de façon anaphorique ou déictique. La dernière partie de l'article porte sur la distinction entre les pronoms et les déterminants et certains problèmes qui y sont liés, tels que l'ellipse nominale. Il y est argué que les déterminants sont eux aussi des noms grammaticaux, mais que le maintien d'une distinction déterminant vs pronom est motivé et descriptivement utile au regard d'au moins certains des mots concernés, à commencer par les articles et les pronoms personnels. (shrink)

You can perceive things, in many respects, as they really are. For example, you can correctly see a coin as circular from most angles. Nonetheless, your perception of the world is perspectival. The coin looks different when slanted than when head-on, and there is some respect in which the slanted coin looks similar to a head-on ellipse. Many hold that perception is perspectival because you perceive certain properties that correspond to the “looks” of things. I argue that this view (...) is misguided. I consider the two standard versions of this view. What I call the PLURALIST APPROACH fails to give a unified account of the perspectival character of perception, while what I call the PERSPECTIVAL PROPERTIES APPROACH violates central commitments of contemporary psychology. I propose instead that perception is perspectival because of the way perceptual states are structured from their parts. (shrink)

When a circular coin is rotated in depth, is there any sense in which it comes to resemble an ellipse? While this question is at the center of a rich and divided philosophical tradition (with some scholars answering affirmatively and some negatively), Morales et al. (2020, 2021) took an empirical approach, reporting 10 experiments whose results favor such perspectival similarity. Recently, Burge and Burge (2022) offered a vigorous critique of this work, objecting to its approach and conclusions on both (...) philosophical and empirical grounds. Here, we answer these objections on both fronts. We show that Burge and Burge’s critique rests on misunderstandings of Morales et al.’s claims; of the relation between the data and conclusions; and of the philosophical context in which the work appears. Specifically, Burge and Burge attribute to us a much stronger (and stranger) view than we hold, involving the introduction of “a new entity” located “in some intermediate position(s) between the distal shape and the retinal image.” We do not hold this view. Indeed, once properly understood, most of Burge and Burge’s objections favor Morales et al.’s claims rather than oppose them. Finally, we discuss several questions that remain unanswered, and reflect on a productive path forward on these issues of foundational scientific and philosophical interest. (shrink)

Arguably the most foundational principle in perception research is that our experience of the world goes beyond the retinal image; we perceive the distal environment itself, not the proximal stimulation it causes. Shape may be the paradigm case of such “unconscious inference”: When a coin is rotated in depth, we infer the circular object it truly is, discarding the perspectival ellipse projected on our eyes. But is this really the fate of such perspectival shapes? Or does a tilted coin (...) retain an elliptical appearance even when we know it’s circular? This question has generated heated debate from Locke and Hume to the present; but whereas extant arguments rely primarily on introspection, this problem is also open to empirical test. If tilted coins bear a representational similarity to elliptical objects, then a circular coin should, when rotated, impair search for a distal ellipse. Here, nine experiments demonstrate that this is so, suggesting that perspectival shapes persist in the mind far longer than traditionally assumed. Subjects saw search arrays of three-dimensional “coins,” and simply had to locate a distally elliptical coin. Surprisingly, rotated circular coins slowed search for elliptical targets, even when subjects clearly knew the rotated coins were circular. This pattern arose with static and dynamic cues, couldn’t be explained by strategic responding or unfamiliarity, generalized across shape classes, and occurred even with sustained viewing. Finally, these effects extended beyond artificial displays to real-world objects viewed in naturalistic, full-cue conditions. We conclude that objects have a remarkably persistent dual character: their objective shape “out there,” and their perspectival shape “from here.”. (shrink)

When viewing a circular coin rotated in depth, it fills an elliptical region of the distal scene. For some, this appears to generate a two-fold experience, in which one sees the coin as simultaneously circular (in light of its 3D shape) and elliptical (in light of its 2D ‘perspectival shape’ or ‘p-shape’). An energetic philosophical debate asks whether the latter p-shapes are genuinely presented in perceptual experience (as ‘perspectivalists’ argue) or if, instead, this appearance is somehow derived or inferred from (...) experience (as ‘anti-perspectivalists’ argue). This debate, however, has largely turned on introspection. In a recent study, Morales, Bax, and Firestone (2020) aim to provide the first empirical test of this question. They asked subjects to find an elliptical coin seen face-on from a search array that also included a circular coin seen either face-on or at an angle. They found that subjects reacted more slowly when the distracting circle was seen at an angle, such that it’s p-shape matched that of the target ellipse. From this, they concluded that the similar p-shape between the ellipse and circle constituted a phenomenal similarity between the two, and thus that perspectivalism is true. We show that these results can also be explained by pre-attentive guidance by unconscious representations (in what follows, just “unconscious pre-attentive guidance”) and that this explanation is at least as plausible as one from phenomenal similarity. Thus, we conclude that the experiment does not support perspectivalism over anti-perspectivalism. (shrink)

The present study examined what participants perceive of their hand movements when using a tool. In the experiments different gains for either the x-axis or the y-axis perturbed the relation between hand movements on a digitizer tablet and cursor movements on a display. As a consequence of the perturbation participants drew circles on the display while their covered hand movements followed either vertical or horizontal ellipses on the digitizer tablet. When asked to evaluate their hand movements, participants were extremely uncertain (...) about their trajectories. By varying the amount of visual feedback, findings indicated that the low awareness of one’s own movements originated mainly from an insufficient quality of the humans’ tactile and proprioceptive system or from an insufficient spatial reconstruction of this information in memory. (shrink)

Twelve subjects provided shape and orientation judgments for a set of projectively equivalent, variously rotated rectangles under three viewing conditions—monoptic, dichoptic, and binocular—with and without the presence of a pattern mask. In the absence of the mask, partial constancy was exhibited under the first two conditions and near perfect constancy under the binocular condition. Orientation was discriminated. Presence of the mask produced projective shape matching and diminished orientation discrimination. It is argued that the site of masking was postchiasmal, and the (...) results are related to previous work with pattern masking of projectively equivalent ellipses. (shrink)

The ArgumentThe article deals with the interrelation between Galileo and the visual arts. It presents a couple of drawings from the hand of Galileo and confronts them with Viviani's report that Galileo had not only wanted to become an artist in his youth but stayed close to the field of visual arts throughout his lifetime. In the ambiance of these drawings the famous moon watercolors are not in the dark. They represent a very acute and reasonable tool to convince the (...) people who trusted images more than words. The article ends with Panofsky's argument that it was Galileo's anti-Mannerist notion of art that evoked a repulsion of Kepler's ellipses. It tries to show that it was again an aesthetical prejudice that hindered Einstein from accepting Panofsky's theory. (shrink)

Shape and slant judgments of rotated or frontoparallel ellipses were elicited from three groups of 10 subjects. A masking stimulus was introduced to control processing time. Backward masking trials were presented with interstimulus intervals of 0, 25, and 50 msec, Reduction of processing time altered shape judgments in the direction of projective shape and slant judgments in the direction of frontoparallelness. This finding is consistent with the shape-slant invariance hypothesis. In order to study the effects of processing load, one group (...) of subjects was given prior knowledge of the kind of judgment to be made on each trial, one group had no prior knowledge, and a third group made both judgments on each trial. The effects of the processing load manipulation were interpreted in terms of the role of attention in perceptual encoding. Consistent with previous findings, allocation of attention did not affect perceptual encoding. (shrink)

This book creates a conceptual schema that acts as a correlation between Epistemology and Epistemic Logic. It connects both fields and offers a proper theoretical foundation for the contemporary developments of Epistemic Logic regarding the dynamics of information. It builds a bridge between the view of Awareness Justification Internalism, and a dynamic approach to Awareness Logic. The book starts with an introduction to the main topics in Epistemic Logic and Epistemology and reviews the disconnection between the two fields. It analyses (...) three core notions representing the basic structure of the conceptual schema: “Epistemic Awareness”, “Knowledge” and “Justification”. Next, it presents the Explicit Aware Knowledge Schema, using a diagram of three ellipses to illustrate the schema, and a formal model based on a neighbourhood-model structure, that shows one concrete application of the EAK-Schema into a logical structure. The book ends by presenting conclusions and final remarks about the uses and applications of the EAK-Schema. It shows that the most important feature of the schema is that it serves both as a theoretical correlate to the dynamic extensions of Awareness Logic, providing it with a philosophical background, and as an abstract conceptual structure for a re-interpretation of Epistemology. (shrink)

To solve the direct problem of central forces when the trajectory is an ellipse and the force is directed to its centre, Newton made use of the famous Lemma 12 (Principia, I, sect. II) that was later recognized equivalent to proposition 31 of book VII of Apollonius’s Conics. In this paper, in which we look for Newton’s possible sources for Lemma 12, we compare Apollonius’s original proof, as edited by Borelli, with those of other authors, including that given by (...) Newton himself. Moreover, after having retraced its editorial history, we evaluate the dissemination of Borelli's edition of books V-VII of Apollonius’s Conics before the printing of the Principia. (shrink)

In Résolution des quatre principaux problèmes d’architecture (1673) then in Cours d’architecture (1683), the architect–mathematician Nicolas-François Blondel addresses one of the most famous architectural problems of all times, that of the reduction in columns (entasis). The interest of the text lies in the variety of subjects that are linked to this issue. (1) The text is a response to the challenge launched by Curabelle in 1664 under the name Étrenne à tous les architectes; (2) Blondel mathematicizes the problem in the (...) “style of the Ancients”; (3) The problem is reformulated and solved through the continuous drawing of the curve; (4) Blondel refutes the uniqueness of the curve by enumerating a variety of solutions (conchoid, spiral, parabola, ellipse, circle, hyperbola). This exuberance responds to an intention that does not coincide with the state of the art of mathematics at the end of the seventeenth century, nor with the taste for geometry of the Ancients, nor with any pedagogical project. This feature is explained by Blondel’s plan to found architecture on scientific bases. The reasons for his failure are analysed. (shrink)

Masculine/feminine pairs of human-denoting nouns in Greek fall into three distinct classes under predicative ellipsis: those that license ellipsis of their counterpart regardless of gender, those that only license ellipsis of a same-gendered noun, and those in which the masculine noun of the pair licenses ellipsis of the feminine version, but not vice versa. The three classes are uniform in disallowing any gender mismatched ellipses in argument uses, however. This differential behavior of gender in nominal ellipsis can be captured by (...) positing that human-denoting nouns in Greek, while syntactically and morphological uniform in showing a masculine/feminine contrast, do not all encode this contrast in their semantics. Under a semantic identity theory of ellipsis, the attested variation in nominal ellipses in Greek is posited to derive from the fact that nominal ellipsis has two possible sources: a nominal constituent can be elided (true ellipsis), or a null nominal proform can be used (model-theoretic anaphora). (shrink)

Quantum mechanics teaches that before detection, knowledge of particle position is, at best, probabilistic, and classical trajectories are seen as a feature of the macroscopic world. These comments refer to detected particles, but we are still free to consider the motions generated by the wave equation. Within hydrogen, the Schrodinger equation allows calculation of kinetic energy at any location, and if this is identified as the energy of the wave, then radial momentum, allowing for spherical harmonics, becomes available. The distance (...) across the real zone of radial momentum is found to match semi-integer wavelengths of the adjusted matter wave, consistent with what is expected from a standing wave condition. The approach is extended to include orbital motions, where it is established that the underlying wave, which has direction and wavelength at each location, forms a series of connected trajectories, which are shown to be ellipses orientated at various angles to the equatorial plane. This suggests that wave trajectories, rather than particle trajectories, are still a feature of the hydrogen atom. The finding allows the reason for the coincidence between energy results derived by Sommerfeld’s classical trajectories and the Schrodinger wave equation to be appreciated. The result has implications when the relativistic situation is considered, as Sommerfeld’s correct deduction of the relativistic energy levels of hydrogen well before Dirac derived his wave equation has long been somewhat puzzling. (shrink)

A physical mechanical sequence is proposed representing measurement interactions ‘hidden' within QM's proverbial ‘black box'. Our ‘beam splitter' pairs share a polar angle, but head in opposite directions, so ‘led' by opposite hemisphere rotations. For orbital ‘ellipticity', we use the inverse value momentum ‘pairs' of Maxwell's ‘linear' and ‘curl' momenta, seen as vectors on the Poincare spherical surface. Values change inversely from 0 to 1 over 90 degrees, then ± inverts.. Detector polarising screens consist of electrons with the same vector (...) distributions, but polar angles set independently by A & B. The absorption/re-emission interaction process is modelled as surface vector additions at the angle of polar latitude of each interaction. This ‘collapse' of characteristic ‘wave values' is really then simply ‘re-polarisation', with new ellipticity. We then obtain the relation Cosθ at polarisers. We may simplify this to new ellipses with major/minor axis values. Considering as spherical orbital angular momentum rotation we invoke the unique quality of spheres to rotate concurrently on three axes! Rotating on y or z axes concurrent with x axis spin can return surface points to starting positions with non-integer x axis rotations, from half to infinity!. Second interactions at photomultiplier/ analysers are identical but at two orthogonal ‘channels'. Vector addition interactions at BOTH channel orientations normally produce a vector value of adequate amplitude to give a *click* from the MAJOR axis direction. At the ‘crossover' points at near circular polarity the orthogonal ‘certainty' is ~ 50:50, so both or neither channels may produce a ‘click'. The apparently unphysical but proved ‘Malus' law' relation; Cos2θ emerges physically from the 2nd set of interactions. The main departure from QM's assumptions are; That the original pair members each actually possessed two inverse momenta sets; ‘curl' and ‘linear'. Also that complex ‘vector additions' of those pairs occurs. Vector quantities allow A & B to reverse their OWN finding by reversing dial setting, reproducing experimental outputs without problematic ‘non-locality'. (shrink)

Life and the living (on Aristotelian biohorror) -- Supernatural horror as the paradigm for life -- Aristotle's De anima and the problem of life -- The ontology of life -- The entelechy of the weird -- Superlative life -- Life with or without limits -- Life as time in Plotinus -- On the superlative -- Superlative life I: Pseudo-Dionysius -- Negative vs. affirmative theology -- Superlative negation -- Negation and preexistent life -- Excess, evil, and non-being -- Superlative life II: (...) Eriugena -- Negation in the periphyseon -- The quaestio de nihilo: on nothing -- The quaestio de nihilo: superlative nothing -- Dark intelligible abyss -- Apophasis -- The apophatic logic -- Negation in Frege and Ayer -- Negation vs. subtraction in Badiou -- Negation and contradiction in Priest -- The dialetheic vitalism of negative theology -- Ellipses: Suhraward and the luminous void -- Univocal creatures -- On spiritual creatures -- Life as form in Aristotle -- The concept of the creature -- Univocity I: Duns Scotus vs. Aquinas -- Univocity in Aquinas' Summa theologica -- Univocity in Duns Scotus' Opus oxoniense -- The common nature of the creature -- Univocity II: Duns Scotus vs. Henry of Ghent -- Univocity in Henry of Ghent -- Negative vs. privative indetermination -- Absolute indetermination -- Univocity III: Deleuze's scholasticism three variations -- Spinoza et le problème de l'expression -- Différence et répétition -- Cours de Vincennes -- Univocal creatures -- Ellipses: Dgen and uncreated univocity -- Dark pantheism -- Everything and nothing -- Life as spirit in Aquinas -- The concept of the divine nature -- Immanence I: Eriugena's periphyseon -- Natura and the unthought -- Universal life -- Four statements on pantheism -- Immanence II: Duns Scotus' reportatio Ia -- Univocal immanence -- Actual infinity -- The pathology of the triple primacy -- Immanence III: Nicholas of Cusa's De docta ignorantia -- The coincidence of opposites -- The folds of life -- Absolute vs. contracted pantheism -- Speculative pantheism (Deleuze's interlocutors) -- Pantheism and pure immanence -- The insubordination of immanence in Deleuze -- Scholia I: the isomorphism of univocity and immanence -- Scholia II: the vitalist logic of common notions -- Scholia III: the life of substance -- Dark pantheism -- Ellipses: Wang Yangming and idealist naturalism -- Logic and life (on Kantian teratology) -- The wandering line from Aristotle to Kant -- Critique of life -- Spectral life and speculative realism -- Ontotheology in Kant, atheology in Bataille -- The night land. (shrink)

RESUMEN El artículo reconstruye la concepción metodológica de Leibniz de finales del periodo parisino, que subyace al tratado Sobre la cuadratura aritmética del círculo, la elipse y la hipérbola (1676). Se muestra que Leibniz concibió un procedimiento en el cual el hallazgo de nuevos conocimientos de alguna manera coincide con su demostración, y en el que los procesos de análisis y síntesis se emplean de diversas maneras. ABSTRACT The article reconstructs Leibniz's methodological conception of the late Parisian period underlying the (...) treatise On the Arithmetical Squaring of the Circle, the Ellipse, and the Hyperbola (1676). It is shown that Leibniz conceived of a procedure where the finding of new knowledge somehow coincided with its demonstration and in which the processes of analysis and synthesis were employed in various ways. (shrink)

L’auteur s’est attachée à l’écriture singulière de G. Duby dans le domaine de l’histoire des femmes, et tout particulièrement dans les trois volumes des Dames du XIIe siècle. G. Duby y témoigne en effet d’une vigilance toute particulière à l’égard de l’expression, en centrant son discours sur un « JE » qui assume les risques d’affronter des documents toujours masculins, pour y débusquer ce qu’il appelle « des ombres insaisissables », les femmes de l’époque féodale. Parfaite maîtrise des ressources de (...) la langue, syntaxe souple et inventive, mais aussi forte conscience des effets de la voix : cette langue est bien celle de l’affect tout comme celle d’un imagier. L’historiographe du féminin use d’une écriture subjective et dramatisée, où le point de vue de la narration désigne toujours la relation passionnée du locuteur avec les témoignages qu’il interroge. À quoi contribuent les alternances des perspectives temporelles et la constance de champs métaphoriques : capture, rapt, butin, girons périlleux ou fertiles... Martèlements et ellipses font de cette écriture un discours véhément et convaincant, le plus personnel que l’historien ait jamais mis en oeuvre. (shrink)

Several studies have demonstrated that individuals’ ability to perceive a speech sound contrast is related to the production of that contrast in their native language. The theoretical account for this relationship is that speech perception and production have a shared multimodal representation in relevant sensory spaces. This gives rise to a prediction that individuals with more narrowly defined targets will produce greater separation between contrasting sounds, as well as lower variability in the production of each sound. However, empirical studies that (...) tested this hypothesis, particularly with regard to variability, have reported mixed outcomes. The current study investigates the relationship between perceptual ability and production ability, focusing on the auditory domain. We examined whether individuals’ categorical labeling consistency for the American English /ε/–/æ/ contrast, measured using a perceptual identification task, is related to distance between the centroids of vowel categories in acoustic space and to two measures of production variability: the overall distribution of repeated tokens for the vowels and the proportional within-trial decrease in variability as defined as the magnitude of self-correction to the initial acoustic variation of each token. No significant associations were found between categorical labeling consistency and vowel contrast distance, between categorical labeling consistency and area of the ellipse, or between categorical labeling consistency and centering ratio. These null results suggest that the perception-production relation may not be as robust as suggested by a widely adopted theoretical framing in terms of the size of auditory target regions. However, the present results may also be attributable to choices in implementation that should be subject to further investigation. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Thucydides: Narrative and ExplanationCarolyn DewaldTim Rood. Thucydides: Narrative and Explanation. Oxford: Clarendon Press, 1998. xi + 339 pp. Cloth, £47.Any text has dislocations in its narrative surface. Since the time of Schwartz and Schadewaldt (1929), the text of Thucydides' History of the Peloponnesian War has been scrutinized for its omissions, ellipses, and apparent contradictions. Scholars have thought that these would contain important clues regarding aspects [End Page 138] (...) of the war not emphasized explicitly by Thucydides in his narrative and that in addition they would help solve historiographical questions about Thucydides as an author: the nature and quality of the sources he had available to him, for instance, or, even more important, the evolution of his own understanding, over the long years in which he was observing and writing up the war. Thucydides himself provides grounds for such scholarly expectations by emphasizing that he had begun his project right at the war's beginning (1.1); he tells us in the second preface (5.26) that he was exiled after his command in the Thraceward region, and that thereafter he had a much better chance to talk to combatants on all sides. Clear stylistic differences distinguish different parts of the History; most strikingly, it breaks off mid-sentence in the narrative of the summer of 411. One can certainly see why, with this author in particular, attentive readers are tempted to take an analytical approach.Tim Rood, however, utterly rejects this temptation. Instead, he uses the tools of contemporary narratology to explore the text of Thucydides, just as it is, as the end product of authorial interpretation. He argues that Thucydides' narrative is not only written accurately to recount what happened but is also, in the most minute variations of its narrative details, an analysis of why and how the war happened as it did. Rood looks carefully at changes of perception (who "focalizes" the narrative at any given point), narrative disjunctions of time (analepsis, prolepsis, and variations in pacing), and Thucydides' handling of speech, thought, and the description of character. According to Rood, these are important clues that Thucydides provides to show us how the anticipations and perceptions of its various participants crucially shaped the Peloponnesian War.This is a careful, subtle book, and a very important one for historians as well as literary students of Thucydides. Rood is a student of S. Hornblower and C. Pelling, and in this revision of his Oxford thesis he cites the enormous secondary literature, both historical and historiographical, to excellent effect, usually in the context of precise observations about the import of individual passages. This is the first major study seriously to take into account Hornblower's Commentary (Oxford: Oxford University Press, 1991 and 1996), and the result shows on almost every page. Even in the stretches where the minute attention to details of Thucydides' language make Rood's narrative itself read more like a commentary than an essay, the textual observations are aimed at a larger and more interesting interpretive point. In the thoughtfulness and integration of its readings of individual passages into a larger overall argument, it resembles Connor's Thucydides (Princeton: Princeton University Press, 1984), but where Connor uses a reader-response approach, arguing that Thucydides moves the reader in effect through the sequential experience of the war as it unfolds, Rood has Thucydides constructing his narrative to unpack for us as readers how the war's participants saw and thought about things and reacted to one another and how this in turn influenced how things unfolded.The book has twelve chapters, divided among five parts. The first part generally discusses temporal and focalizing strategies, concentrating on the Pylos story and the role speeches play in the narrative; the second emphasizes how [End Page 139] perception and gaps of knowledge between readers and characters as well as temporal displacement contribute to Thucydides' analysis of Peloponnesian and Athenian strengths and weaknesses in books 4 and 5. The third part explores how Athenian political life in general and the character of Nicias in particular become crucial in books 6 and 7 and shape the way the Sicilian Expedition unfolds, setting the stage for the grim years after... (shrink)