Alfons Schilling began his long‐term investigations on perception during the early 1960s by designing motion paintings,1 and continued the research with design of optical instruments called Vision Machines.2 Schilling's experiments were constructed as head‐worn objects, or instruments, in various shapes and sizes, which transformed the viewer's perception through first‐hand experience.

The correspondence in 1680 and 1681 between John Flamsteed and Isaac Newton on Flamsteed’s theory of the comet of 1680 tells half the story. Related manuscripts reveal Newton was pursuing his own comprehensive line of inquiry based on principles that were the antithesis of Flamsteed’s procedures. Following generally accepted views in England, Newton’s work was marked by critical evaluation of data but marred by uncritical use of simple calculating techniques based on what might be termed Platonic archetypes of straightness. Flamsteed’s (...) intervention provided useful data and allowed Newton to seek additional information. Although Newton supposedly briefly considered a solution that vaguely resembled his parabolic approximation of the path of the comet determined 5 years later, the evidence Newton provided (based on simple hypotheses) did not support such a highly curved path or one in which the sun apart from the solar vortex exerted influence. Newton’s work, including an alleged harmonic law of tails, was quietly abandoned in favor of other work. With new insight, Newton revived work on comets as fully gravitational objects immediately following Halley’s visit in 1684. This little known side of the episode provides a fresh opportunity to examine Newton’s sources and actual practice in developing a new line of inquiry. An appendix dating sections of Newton’s Waste Book entries on comets is included. (shrink)

The Vestal Virgins are one of the most famous elements of Roman religion, yet despite their perennial appeal and the importance of some smaller scale studies of the priesthood, the priestesses have not received a monograph-length study since F. Giuzzi, Aspetti giuridici del sacerdozio romano. II sacerdozio di Vesta (Naples, 1968). Now we have books by R.L. Wildfang and M.C. Martini that could not be more different. The former offers a thorough survey of what the sources can tell us about (...) the priesthood in the period from the end of the Second Carthaginian War to the first century C.E. The latter is an analysis of early Roman historiography and the role the Vestals, in particular their periodic unchastity, played in the creation of the traditional account of the development of Rome. W's book puts forward two main arguments: (1) the Vestals were charged with the ritual purification of the city and with the storage and preparation of ritual materials, and (2) many aspects of the priesthood that have long puzzled scholars are tied to the Vestals' status as Roman citizens, but citizens who existed outside the traditional family structure. The book will be accessible to those new to the topic, but the notes will repay specialists. Ancient sources are quoted in translation, with original texts provided in an appendix. A second appendix provides a list of known Vestals. This slender volume could have been even thinner if the frequent repetitions were cut down. W's work might have been better as a hefty article, so little is there to know about the Vestals. The Classical Review vol. 58 no. 1 C The Classical Association 2008; all rights reserved This content downloaded from 204.235.148.90 on Sat, 26 Jul 2014 11:47:09 AM All use subject to JSTOR Terms and Conditions THE CLASSICAL REVIEW 213 In the Introduction, W makes a welcome distinction among types of rituals often lumped together in discussions of 'fertility' rituals, with which the Vestals are often associated (p. 4). W reserves 'fertility' to describe only those rites that deal with the reproduction of people, livestock and the growth of crops. Harvest rituals are linked to the harvesting of crops, while another set of rites, 'storage rites', are tied to the preservation of the harvest. The final group, purification rituals, aim at the cleansing of an individual, place or object of 'all forms of pollution that would render it or them unfit to come into contact with the religious sphere'. The book is arranged thematically. The first two chapters lay out all we can know about the priestesses' ritual obligations performed in the seclusion of the temple and out amongst the people. While a reader may not find W's interpretation of each of the Vestals' actions equally persuasive, the overall argument that the priestesses' activities were, by and large, purificatory is convincing. Two of the more interesting aspects of W.'s discussion are her considerations of Vesta's fire and of the water required for some of her rituals (pp. 8-11). Fire was seen by the Romans as both a fertile and a sterile force, and scholars have emphasised one or the other, or the contrast between them, in their interpretation of the Vestals. W points out that fertile fire is always described in masculine terms and is associated with Vulcan. Vesta's fire, however, is always associated with sterility and purity, and so should be understood as having a purificatory significance. W points out that Vesta's fire was used only in the manufacture of ritually necessary items: roasting spelt for mola salsa, baking brine for muries and burning ashes from the fetal cow from the Fordicidia and the tail of the October horse, both of which were used at the Parilia. For other rituals, the Vestals were required to use water, the purificatory substance par excellence, drawn only from the spring of Juturna and carried only in vessels that could not be set down. These restrictions ensured that the water was always fresh, running water that never touched profane earth. Chapters 3-5 trace out the unique position the Vestals occupied in Roman society, arguing that they existed outside the standard Roman familial and other social structures, yet remained fully part of the Roman state. W suggests that the initiation rite of captio removed the new priestess not only from her family but, more importantly, from her family cult, thus avoiding any potential contamination of familial and public cult. Virginity was required for multiple reasons, the most significant being that such a status allowed the priestess to remain a full member of the Roman state, but prevented her from being a member of a traditional family structure. Throughout the book, W makes much of the idea of Vestals as represen tatives of Roman citizen women without ever really dealing with the question to what extent any Roman woman, priestess or not, was a ciuis. Though W is probably correct, it is not entirely certain to what extent women were citizens in the Republic, and at least a reference to some key ancient sources and to recent scholarship on this question should be made (e.g. L. Peppe, Posizione giuridica e ruolo sociale della donna romana in eta repubblicana [Milan, 1984]). The sixth chapter, 'The Vestals in the Romans' History', looks at the appearance of Vestals in the early history of Rome, refining the common assumption that accusations of, and convictions for, incestum arose only in periods of great stress and danger. W adds that a priestess's involvement, or her family's involvement, in one of the groups taking part in the conflict or struggle of the moment also played a role. This chapter traces changes over the course of 300 years in the attitudes of the priestesses and the Romans more generally toward the priesthood, its role in society This content downloaded from 204.235.148.90 on Sat, 26 Jul 2014 11:47:09 AM All use subject to JSTOR Terms and Conditions 214 THE CLASSICAL REVIEW and its requirement of 30 years of chastity. The argument hangs on even less evidence than other sections of the work. In contrast to their central place in W's book, the Vestals play only a small (though crucial, in her interpretation) role in M.'s work. The basic argument of the book is that episodes of Vestal incestum are linked in the historiographic tradition to key moments in the development of the Roman state: the separation of augurium from regnum, the development of a mixed patrician-plebeian aristocracy, the creation of a monetary system and the expansion of the colonial system outside Italy. The history of Rome can be seen as alternating phases of stasis and transformation; instances of Vestal incestum mark the transitions (p. 95). The work falls into two parts that are not well integrated. The first is a useful discussion of the historiography of the Roman Republic, taking in turn each element of the story of the founding of Rome from the arrival of Aeneas to the death of Remus. M. traces how early Roman writers, especially Fabius Pictor, reshaped the tradition already present in some Greek authors, distancing Rome from the Greek world and adding an Italic element to the tale. This detailed analysis is well worth consulting and will be of interest to those working on many aspects of cultural life in the Republic. The second, larger, section of the book comprises a series of studies of the Vestals known to have been convicted of incestum during the Republic. After dealing with issues of dating and sources, M. links each case of incestum to a major event in Roman history. Not all the events are equally important for the creation of the Rome of the middle and late Republic. One wonders why M. chose to tie the conviction of Minucia, somewhere between 339 and 332, to the admission of plebeians to the praetorship in 337 rather than to the conclusion of the Latin War in 338. Some explanation is warranted. The connection M. draws is often very vague, as in the case of Sextilia (pp. 144-54), convicted and interred alive in either 275 or 274. M. sees this as marking the end of any meaningful distinction between patricians and plebeians, following as it does the first time a plebeian censor completed a lustrum. The gap of five or six years between Sextilia's conviction and Cn. Domitius Calvinus Maximus' censorship in 280 passes unremarked. Similarly, in discussing the three Vestals accused of incestum in 114-113 (pp. 188-210), M. steps away from the commonly accepted interpretation of the event as part of the continuing struggle between Gracchan and senatorial forces, arguing instead that it is tied to the establishment in 118 of the colony of Narbo Martius, Rome's first colony in Gaul. Here, as elsewhere, there is no evidence that any ancient author linked the founding of the colony and Vestal unchastity; the temporal gap makes an association even more unlikely. Ultimately, it is not possible to accept M.'s argument that Vestal incestum punctuated key stages in the development of the 'cosmo Romano' in the way she imagines. Even so, M.'s effort to reintegrate the Vestals into the larger narrative of Rome's history is thought-provoking, and it is to be hoped that it will spark further work in the same vein. The field is perhaps in a better position to undertake work on this scale now that we have W's careful and comprehensive collection and interpre tation of what there is to know about the Vestals. Yale University CELIA E. SCHULTZ celia.schultz(yale.edu This content downloaded from 204.235.148.90 on Sat, 26 Jul 2014 11:47:09 AM All use subject to JSTOR Terms and Conditions. (shrink)

The primary quantum mechanical equation of motion entails that measurements typically do not have determinate outcomes, but result in superpositions of all possible outcomes. Dynamical collapse theories (e.g. GRW) supplement this equation with a stochastic Gaussian collapse function, intended to collapse the superposition of outcomes into one outcome. But the Gaussian collapses are imperfect in a way that leaves the superpositions intact. This is the tails problem. There are several ways of making this problem more precise. But many authors dismiss (...) the problem without considering the more severe formulations. Here I distinguish four distinct tails problems. The first (bare tails problem) and second (structured tails problem) exist in the literature. I argue that while the first is a pseudo-problem, the second has not been adequately addressed. The third (multiverse tails problem) reformulates the second to account for recently discovered dynamical consequences of collapse. Finally the fourth (tails problem dilemma) shows that solving the third by replacing the Gaussian with a non-Gaussian collapse function introduces new conflict with relativity theory. (shrink)

I review the modal interpretation of quantum mechanics, some versions of which rely on the biorthonormal decomposition of a statevector to determine which properties are physically possessed. Some have suggested that these versions fail in the case of inaccurate measurements, i.e., when one takes tails of the wavefunction into account. I show that these versions of the modal interpretation are satisfactory in such cases. I further suggest that a more general result is possible, namely, that these versions of the modal (...) interpretation never encounter the sort of trouble that has been claimed to arise in the case of inaccurate measurement. (shrink)

The classical Halpern–Läuchli theorem states that for any finite coloring of a finite product of finitely branching perfect trees of height ω, there exist strong subtrees sharing the same level set such that tuples in the product of the strong subtrees consisting of elements lying on the same level get the same color. Relative to large cardinals, we establish the consistency of a tail cone version of the Halpern–Läuchli theorem at a large cardinal (see Theorem 3.1), which, roughly speaking, deals (...) with many colorings simultaneously and diagonally. Among other applications, we generalize a polarized partition relation on rational numbers due to Laver and Galvin to one on linear orders of larger saturation. (shrink)

Classical mutations at the mouse Brachyury (T) locus were discovered because they lead to shortened tails in heterozygous newborns. no tail (ntl) mutants in the zebrafish, as their name suggests, show a similar phenotype. In Drosophila, mutants in the brachyenteron (byn) gene disrupt hindgut formation. These genes all encode T-box proteins, a class of sequence-specific DNA binding proteins and transcription factors. Mutations in the C. elegans mab-9 gene cause massive defects in the male tail because of failed fate decisions in (...) two tail progenitor cells. In a recent paper, Woollard and Hodgkin1 have cloned the mab-9 gene and found that it too encodes a T-box protein, similar to Brachyury in vertebrates and brachyenteron in Drosophila. The authors suggest that their results support models for an evolutionarily ancient role for these genes in hindgut formation. We will discuss this proposal and try to decide whether the gene sequences, gene interactions and gene expression patterns allow any conclusions to be made about the rear end of the ancestral metazoan. BioEssays 22:781–785, 2000. © 2000 John Wiley & Sons, Inc. (shrink)

Due to the advent of deglobalization and regional integration, this article aims to adopt LASSO-based network connectedness to estimate the multiscale tail risk spillover effects of global stock markets. The results show that tail risk varies across frequencies and shocks. In static analysis, the risk is centered mostly on the developed European and North American markets at a low frequency, and regionalization is imposed on the moderate frequency. Moreover, emerging markets could be sources of risk spillover, especially at the highest (...) frequency where there is no absolute risk center. In dynamic analysis, we use rolling window estimation and find that different frequencies identify distinct episodes of shocks, which provides us with the reason for the diverse risk centers at different time scales in static analysis. Our findings provide heterogeneous financial practitioners, regulators, and investors with diverse characteristics of stock markets under multiple time horizons and help them operate their own trading strategies. (shrink)

Resumen: En muchas lenguas las cláusulas adverbiales iniciales presentan una repetición del predicado de la oración anterior, lo que se conoce como enlace tail-head. Este trabajo busca describir las construcciones de eth del quichua santiagueño de acuerdo con dos parámetros: a) el grado de solapamiento semántico entre los predicados de la construcción de eth, y b) el grado de integración eventiva de la adverbial inicial con la cláusula principal. El primer parámetro permite identificar construcciones verbatim -con repetición exacta del verbo (...) anterior- y no verbatim -sin repetición exacta-. El segundo parámetro se manifiesta en la forma que adopta la cláusula “cabeza”. Así, se identificaron, por un lado, una forma converbal y, por el otro, cláusulas con los sufijos del sistema de conmutación de la referencia. La interacción entre estos dos parámetros muestra que las diferentes construcciones de eth poseen diversas funciones discursivas, en particular para la coherencia temática.: In many languages preposed adverbial clauses repeat the previous verb or predicate, which phenomenon has been termed tail-head linkage. This paper aims to describe THL constructions in Santiagueño Quichua according to two parameters: a) the degree of semantic overlap between the predicates of the THL constructions, and b) the degree of event integration of the preposed adverbial with its main clause. The first parameter allows the identification of verbatim constructions -with exact repetition of the previous predicate- and non verbatim constructions -without exact repetition-. The second parameter manifests itself in the form the head clause might adopt, where it is a converb or it takes switch reference suffixes. The interplay of both parameters shows that the different THL constructions possess diverse discourse functions, particularly regarding thematic coherence. (shrink)

We outline the proof of the consistency that there exists a saturated tail club guessing ideal on ω₁ which is not a restriction of the nonstationary ideal. A new class of forcing notions and the forcing axiom for the class are introduced for this purpose.

Did you know we used to have tails that helped us connect to each other and the world around us? But then of course we lost our tails — or so the story goes — and now we need new ways to connect. In From Tails to Tales, best friends Huk and Tuk find a way to compensate for this loss. They discover that by discussing stories — or tales, if you like — they can recreate that deeper understanding of (...) themselves, each other and the world, essential for feeling connected. Although the tales they discuss may seem simple, the complex questions they raise make them rewarding for adults and children to ponder together. -/- Doing philosophy with people of all ages inspires Maria daVenza Tillmanns to explore profound ideas through playful stories that help us who have lost our tails to reconnect through meaningful communication and endless curiosity. (shrink)

Cognitive Science, Volume 46, Issue 7, July 2022.

This appendix is intended to assist the reader in becoming comfortable with the notations, rules, and definitions of Frege's Grundgesetze.

Poetry and informational text showcase the work of community animal shelters. Ten different fictional animals represent the millions of pets brought to shelters every day. Suggestions on animal adoption, including how to prepare and appropriate pet selection, are included, along with resources list.

This is an appendix containing the stimulus materials for the experiments reported in the paper ‘Salient Alternatives in Perspective.’.

Today, the lipid bilayer structure is nearly ubiquitous, taken for granted in even the most rudimentary introductions to cell biology. Yet the image of the lipid bilayer, built out of lipids with heads and tails, went from having obscure origins deep in colloid chemical theory in 1924 to being “obvious to any competent physical chemist” by 1935. This chapter examines how this schematic, strictly heuristic explanation of the idea of molecular orientation was developed within colloid physical chemistry, and how the (...) image was transformed into a reflection of the reality and agency of lipid molecules in the biological microworld. Whereas in physical and colloid chemistry these images considered secondary to instrumental measurement and mathematical modeling of surface phenomena, in biology the manipulable image of the lipid on paper became an essential tool for the molecularization of the cell. (shrink)

A pilot study examined the relationship in daily life between companion animal guardianship and peoples' laughter. The study divided participants into 4 mutually exclusive groups: dog owners, cat owners, people who owned both dogs and cats, and people who owned neither. For one day, participants recorded in "laughter" logs the frequency and source of their laughter and the presence of others when laughing. Dog owners and people who owned both dogs and cats reported laughing more frequently than cat owners, as (...) did people who owned neither. The most frequent source of laughter was spontaneous laughter resulting from a situation. People who owned both dogs and cats reported most frequent spontaneous laughter resulting from an incident involving a pet. Dog owners reported less; cat owners, the least. Dog owners and people who owned both dogs and cats reported laughing more frequently in the presence of their pets than did cat owners. Findings suggest a complex relationship between pet ownership and laughter. Dogs may serve as friends with whom to laugh or their behaviors may provide a greater source of laughter. (shrink)

This appendix contains sections titled: Ancient Women Renaissance Women.

This article focuses on the occasional individuals of many species that live longer than is usual for their populations – here called longevity outliers. They appear to be exceptions to the usual patterns of mortality rates that increase with age. There is no model of survivorship that accommodates all of these individuals. They are less vulnerable to the usual causes of death than most in their populations. There are hints of genetically based mechanisms in the form of life‐prolonging genes in (...) invertebrates and genetic resistance to fatal diseases in higher organisms. The reasons why longevity outliers ultimately die are not known. Based on well‐established trends, I predict that there will be many more humans reaching very old ages in the next century. (shrink)

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in (...) the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. (shrink)

The GRW theory is a recent attempt to solve the measurement problem in quantum mechanics, and the tails problem is a well-known and potentially fatal criticism of the GRW theory. The first half of the paper is an exposition of the measurement problem, the GRW theory, and the tails problem. In the remainder of the paper, two methods of dealing with the tails problem are considered: first, altering the GRW theory so as to avoid the tails problem; and second, denying (...) that the tails problem is more than a novel aspect of a universal vagueness in the way scientific theories relate to everyday language. (shrink)

Ex ante predicted outcomes should be interpreted as counterfactuals (potential histories), with errors as the spread between outcomes. But error rates have error rates. We reapply measurements of uncertainty about the estimation errors of the estimation errors of an estimation treated as branching counterfactuals. Such recursions of epistemic uncertainty have markedly different distributial properties from conventional sampling error, and lead to fatter tails in the projections than in past realizations. Counterfactuals of error rates always lead to fat tails, regardless of (...) the probability distribution used. A mere .01% branching error rate about the STD (itself an error rate), and .01% branching error rate about that error rate, etc. (recursing all the way) results in explosive (and infinite) moments higher than 1. Missing any degree of regress leads to the underestimation of small probabilities and concave payoffs (a standard example of which is Fukushima). The paper states the conditions under which higher order rates of uncertainty (expressed in spreads of counterfactuals) alters the shapes the of final distribution and shows which a priori beliefs about conterfactuals are needed to accept the reliability of conventional probabilistic methods (thin tails or mildly fat tails). (shrink)

We argue that Wittgenstein’s philosophical perspective on Gödel’s most famous theorem is even more radical than has commonly been assumed. Wittgenstein shows in detail that there is no way that the Gödelian construct of a string of signs could be assigned a useful function within (ordinary) mathematics. — The focus is on Appendix III to Part I of Remarks on the Foundations of Mathematics. The present reading highlights the exceptional importance of this particular set of remarks and, more specifically, emphasises (...) its refined composition and rigorous internal structure. (shrink)

GRW models of the physical world are criticized in the literature for involving wave function "tails" that allegedly create fatal interpretive problems and even compromise standard arithmetic. I find such objections both unfair and misguided. But not all is well with the GRW approach. One complaint I articulate in this paper does not have to do with tails as such but with the specific way in which past physical structures linger forever in the total GRW wave function. By pushing the (...) total proposal towards either the "Many Worlds" approach or the Bohmian approach, this feature diminishes extant GRW claims to preferability. I suggest, however, that the problem here is just an artifact of the particular and ultimately optional genre of collapse mechanism chosen by GRW. (shrink)