We report an experiment that unambiguously shows an effect of full-form frequency for fully regular Dutch inflected verbs falling into Clahsen's “default” category, negating Clahsen's claim that regular complex words in the default category are not stored.

Evolutionary psychology is put forward by its defenders as an extension of evolutionary biology, bringing psychology within the integrated causal chain of the hard sciences. It is extolled as a new paradigm for integrating psychology with the rest of science. We argue that such claims misrepresent the methods and explanations of evolutionary biology, and present a distorted view of the consequences that might be drawn from evolutionary biology for views of human nature. General theses about adaptation in biology are empty (...) schemata, not laws of nature allowing the subsumption of mind under biology. Functional thinking is an indispensable tool for psychology, mostly of value in abstractive unification and as a heuristic, but it gains little from association with evolutionary notions of selection. Thus, we argue, the cherished integrative causal model evaporates, and evolutionary phraseology serves no more than rhetorical purposes. Moreover, the universality of human nature and the evolutionary irrelevance of individual variation are presented as biological truths that psychologists should respect in their approach to mind. On closer inspection, this turns out to be rather dubious biology. Psychology might conceivably be better off as a continuation of biology by different means, but evolutionary psychology does not provide the conceptual integration leading to such a happy union. (shrink)

Depletion of mitochondrial endo/exonuclease G‐like (EXOG) in cultured neonatal cardiomyocytes stimulates mitochondrial oxygen consumption rate (OCR) and induces hypertrophy via reactive oxygen species (ROS). Here, we show that neurohormonal stress triggers cell death in endo/exonuclease G‐like‐depleted cells, and this is marked by a decrease in mitochondrial reserve capacity. Neurohormonal stimulation with phenylephrine (PE) did not have an additive effect on the hypertrophic response induced by endo/exonuclease G‐like depletion. Interestingly, PE‐induced atrial natriuretic peptide (ANP) gene expression was completely abolished in endo/exonuclease (...) G‐like‐depleted cells, suggesting a reverse signaling function of endo/exonuclease G‐like. Endo/exonuclease G‐like depletion initially resulted in increased mitochondrial OCR, but this declined upon PE stimulation. In particular, the reserve capacity of the mitochondrial respiratory chain and maximal respiration were the first indicators of perturbations in mitochondrial respiration, and these marked the subsequent decline in mitochondrial function. Although pathological stimulation accelerated these processes, prolonged EXOG depletion also resulted in a decline in mitochondrial function. At early stages of endo/exonuclease G‐like depletion, mitochondrial ROS production was increased, but this did not affect mitochondrial DNA (mtDNA) integrity. After prolonged depletion, ROS levels returned to control values, despite hyperpolarization of the mitochondrial membrane. The mitochondrial dysfunction finally resulted in cell death, which appears to be mainly a form of necrosis. In conclusion, endo/exonuclease G‐like plays an essential role in cardiomyocyte physiology. Loss of endo/exonuclease G‐like results in diminished adaptation to pathological stress. The decline in maximal respiration and reserve capacity is the first sign of mitochondrial dysfunction that determines subsequent cell death. (shrink)

In this study, we explain differences in support for interreligious lawful and violent protests against the religious outgroup. Combining religiosity and social identity approaches, we take three dimensions of religiosity into consideration related to support for interreligious conflict, next to relevant control characteristics. The analysis is based on survey data collected among a random sample of Muslims and Christians across the Indonesian archipelago. Our findings show that members of the Muslim community are, on average, more inclined to support interreligious conflict, (...) both lawful and violent protests. Participation in rites of passage is a crucial aspect of religious practices found to be positively related to both kinds of protest. Religious beliefs show great importance but vary in their influence: particularistic views and intratextual fundamentalism are related to support for lawful protest, whereas religiocentrism is related to support both for lawful and violent protests. In contrast, salience reduces support for violent protest. As such, the findings offer a differentiated way to understand present-day interreligious conflicts among the general population in Indonesia. (shrink)

In this comment, a picture of ERP research is sketched that is slightly different from Hardcastle's account, in that it emphasises the functional characterisation of ERP components rather than the neurophysiological connections. It is suggested that selection pressure of ERP work on cognitive and neurophysiological theories and vice versa is a more apt metaphor for intertheoretical relations in this field than explanatory extension. Secondly, it is argued that the temporal characteristics of ERP components do not support Hardcastle's claim that they (...) may be used to fix timing in phenomenal consciousness. Although I agree that ERP components, cautiously interpreted, can contribute to the identification of substages of information processing, rather than refuting Dennett and Kinsbourne, her ERP data seem compatible with a multiple drafts model. (shrink)

BackgroundIn the Canadian Alliance for Healthy Hearts and Minds (CAHHM) cohort, participants underwent magnetic resonance imaging (MRI) of the brain, heart, and abdomen, that generated incidental findings (IFs). The approach to managing these unexpected results remain a complex issue. Our objectives were to describe the CAHHM policy for the management of IFs, to understand the impact of disclosing IFs to healthy research participants, and to reflect on the ethical obligations of researchers in future MRI studies.MethodsBetween 2013 and 2019, 8252 participants (...) (mean age 58 ± 9 years, 54% women) were recruited with a follow-up questionnaire administered to 909 participants (40% response rate) at 1-year. The CAHHM policy followed a restricted approach, whereby routine feedback on IFs was not provided. Only IFs of severe structural abnormalities were reported.ResultsSevere structural abnormalities occurred in 8.3% (95% confidence interval 7.7–8.9%) of participants, with the highest proportions found in the brain (4.2%) and abdomen (3.1%). The majority of participants (97%) informed of an IF reported no change in quality of life, with 3% of participants reporting that the knowledge of an IF negatively impacted their quality of life. Furthermore, 50% reported increased stress in learning about an IF, and in 95%, the discovery of an IF did not adversely impact his/her life insurance policy. Most participants (90%) would enrol in the study again and perceived the MRI scan to be beneficial, regardless of whether they were informed of IFs. While the implications of a restricted approach to IF management was perceived to be mostly positive, a degree of diagnostic misconception was present amongst participants, indicating the importance of a more thorough consent process to support participant autonomy.ConclusionThe management of IFs from research MRI scans remain a challenging issue, as participants may experience stress and a reduced quality of life when IFs are disclosed. The restricted approach to IF management in CAHHM demonstrated a fair fulfillment of the overarching ethical principles of respect for autonomy, concern for wellbeing, and justice. The approach outlined in the CAHHM policy may serve as a framework for future research studies.Clinical trial registrationhttps://clinicaltrials.gov/ct2/show/nct02220582. (shrink)

© 2016 Regents of the University of California.The Review summarizes much of particle physics and cosmology. Using data from previous editions, plus 3,062 new measurements from 721 papers, we list, evaluate, and average measured properties of gauge bosons and the recently discovered Higgs boson, leptons, quarks, mesons, and baryons. We summarize searches for hypothetical particles such as supersymmetric particles, heavy bosons, axions, dark photons, etc. All the particle properties and search limits are listed in Summary Tables. We also give numerous (...) tables, figures, formulae, and reviews of topics such as Higgs Boson Physics, Supersymmetry, Grand Unified Theories, Neutrino Mixing, Dark Energy, Dark Matter, Cosmology, Particle Detectors, Colliders, Probability and Statistics. Among the 117 reviews are many that are new or heavily revised, including those on Pentaquarks and Inflation. The complete Review is published online in a journal and on the website of the Particle Data Group. The printed PDG Book contains the Summary Tables and all review articles but no longer includes the detailed tables from the Particle Listings. A Booklet with the Summary Tables and abbreviated versions of some of the review articles is also available. (shrink)

PurposeTo explore the mindfulness practice, its long-term effects, facilitators and barriers, in clinical clerkship students 2 years after participation in an 8-week mindfulness-based stress reduction training.MethodA qualitative study was performed by semi-structured in-depth interviews with 16 clinical clerkship students selected by purposive sampling. Students had participated in a MBSR training 2 years before and were asked about their current mindfulness practice, and the long-term effects of the MBSR training. Thematic analysis was conducted using the constant comparison method. Data saturation was (...) reached after 16 interviews.ResultsMost interviewees were still engaged in regular, predominantly informal, mindfulness practice, although some discontinued mindfulness practice and reported an “unchanged lifestyle.” Three main themes came forward; “focused attention and open awareness” during daily activities as core elements of long-term mindfulness practice; “changes in behavior and coping” that resulted from taking a pause, reflecting, recognizing automatic behavioral patterns and making space for a conscious response; “integration in personal and professional life” by enhanced enjoyment of daily activities, improved work-life-balance and making different career choices. Barriers and facilitators in starting and maintaining mindfulness practice were understanding and intention as “pre-conditions”; practical, personal, and professional factors of students in maintaining practice.ConclusionTwo years after participation in a MBSR training, many interviewees were still engaged in mindfulness practice contributing to both personal and professional changes. In light of the high clerkship demands, MBSR training could be a valuable addition to medical curricula, supporting medical students in developing necessary competencies to become well-balanced professionals. (shrink)

This paper inquires into the nature of intertheoretic relations between psychology and neuroscience. This relationship has been characterized by some as one in which psychological explanations eventually will fall away as otiose, overthrown completely by neurobiological ones. Against this view it will be argued that it squares poorly with scientific practices and empirical developments in the cognitive neurosciences. We analyse a case from research on visual perception, which suggests a much more subtle and complex interplay between psychology and neuroscience than (...) a complete take-over of the former by the latter. In the case of vision, cross-theory influences between psychology and neuroscience go back and forth, resulting in refinement in both disciplines. We interpret this case study as showing that: (1) Mutual co-evolution of psychological and neurobiological theories, exemplifying persisting top-down influences from psychology, is a more empirically adequate way to describe psychoneural theory relations than a view on co-evolution, favoured by reductionists, which regards the cross-theory contributions from psychology as merely heuristically useful with no enduring influence on neurobiological theorizing; (2) In research on vision, discovering (or hypothesizing) the neural basis of functions vindicates psychological approaches, it does not eliminate them; (3) Current work on vision shows that many perceptual phenomena must be understood in terms of dynamical interactions between an observer and his/her environment. Therefore, we argue that internalist characterizations of the visual system must be supplemented with externalist accounts that address these reciprocal observer-environment interactions involved in vision. Such processes seem quite different from (internal) cellular and molecular ones, and as such seem to lie outside the scope of neuroscientific inquiry. We conclude that psychoneural reduction or elimination is implausible as a meta-theoretical prediction of theory choice in empirical work. Instead, this case study of vision shows that both psychology and neuroscience contribute to, and complement one another in the study of visual perception. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Did Hobbes Have a Semantic Theory of Truth? WILLEM R. DEJONG 1. INTRODUCTION THE qUESTIONRAISEDin the title of this article may strike the reader as a bit anachronistic. A phrase like 'semantic theory of truth' evokes associations with rather recent developments in logic, especially the work of Alfred Tarski. Nevertheless, it is generally agreed that Hobbes made important observations of a semantical nature. Moreover, in an interesting article still (...) frequently referred to, R. M. Martin has argued that Hobbes "has in mind a clear-cut semantical concept of truth."' Examining Hobbes's semantical ideas somewhat more closely than Martin did, T6rnebohm has given a more precise characterization of Hobbes's view on truth and falsity; he speaks of Hobbes's comprehension theory of truth. ~One of the main purposes of this article is to investigate whether such a theory is correctly attributed to Hobbes. For Tarski 'true' and 'false' are predicates of (declarative) sentences) But this is not enough to speak of a semantic theory of truth: The leading idea behind Tarski's fundamental work in the field of semantics is (a restricted version of) the principle of compositionality. This principle, also known as Frege's principle, says that the semantic value of a (complex) expression is a function of the semantic values of the syntactic (and categorematic) parts it is ' R. M. Martin, "On the Semantics of Hobbes," Philosophyand PhenomenologicalResearch 14 095314): 2o5-11, esp. ~o7, 211. Cf. I. C. Hungerland and G. R. Vick, "Hobbes's Theory of Language, Speech and Reasoning," in ThomasHobbes:Computatwsire Logica--Logic, translated and commentary by A. Martinich, ed. and introduced by I. C. Hungerland and G. R. Vick (New York: 1981), 15--167, esp. 17, 121-22. 9 H. T6rnebohm, "A Study in Hobbes' Theory of Denotation and Truth," Theor~a26 (196o): 53-7o; see p. 66. 3 A. Tarski, "The Semantic Conception of Truth and the Foundations of Semantics," Philosophy and PhenomenologicalResearch4 (1944): 341-375; see p. 342. [63] 64 JOURNAL OF THE HISTORY OF PHILOSOPHY 28:1 JANUARY 199o composed of. Moreover, in the case of linguistic expressions which are (deciarative ) sentences this semantic value should be its truth-value. 4 As we shall see, Hobbes's theory of propositions is basically a theory of subject-predicate propositions. It is therefore reasonable to qualify his theory of truth as a semantic one only if it satisfies Frege's principle to a certain extent. Ideally, this means that the truth-value of subject-predicate propositions should be conceived as a function of the semantic interpretations of its subject and predicate. In the next three sections I will concentrate principally on the logicosyntactical aspects of language. I will then discuss successively the general structure of propositions, the various sorts of names, and the syntax of Hobbes's theory of propositions. Section 5 is devoted to Hobbes's theory of truth as interpreted by Martin and T0rnebohm. The outcome of this examination makes it necessary to break away from Martin's restricted conception of semantics. Martin, like Tarski, takes semantics as "semantics in the narrower sense," i.e., as the discipline Quine refers to as the theory of reference. 5 However, sometimes this term is used in a broader sense; the field of semantics is taken then to include the theory of meaning too. Although the wording differs frequently, the distinction between meaning and reference is almost a constant in the history of thinking about language. On the side of meaning one finds terms like connotation, intension, conception, signification and analyticity, while terms like naming, denoting, extension (and sometimes again signification) are ]inked to the notion of reference. In the Computatio sive Logica, the first part of De Corpore, containing Hobbes's most mature work on the philosophy of language, this opposition is displayed by way of a distinction between, on the one side, nominare, denotare and appellare and, on the other side, significare. Hobbes's view of the significative, as opposed to the denotative, role of linguistic expressions is treated in sections 6, 7, and 8. There it will be shown that Hobbes's radical nominalism is decisive for his doctrine of signification; moreover, this nominalism raises serious problems for the relation... (shrink)

ObjectivesMany older adults with visual impairment also have significant hearing loss. The aim was to investigate the effectiveness of a newly developed Dual Sensory Loss protocol on communication and wellbeing of older persons with DSL and their communication partners in the Netherlands and Belgium.MethodsParticipants and their communication partners were randomized in the “DSL-protocol” intervention group or a waiting-list control group. The intervention took 3 to 5 weeks. Occupational therapists focused on optimal use of hearing aids, home-environment modifications and effective communication (...) strategies. The primary outcome was the Communication Strategies domain of the Communication Profile for the Hearing Impaired. Secondary outcomes measured in participants were the Low Vision Quality Of Life Adjustment subscale, the Center for Epidemiological Studies - Depression Scale, De Jong Gierveld Loneliness Scale and the Fatigue Assessment Scale. The Hearing Handicap and Disability Inventory - Reaction of Others subscale and the Care-related Quality of Life - 7 Dimensions was measured in communication partners. Measurements were taken at baseline and 3-month follow-up. Linear mixed models were used to analyze effects between groups over time for every outcome measure.ResultsIntention-to-treat analyses showed a significant effect of the DSL-protocol on the use of verbal strategies in favor of the control group, however, this effect was non-significant after adjustment for confounding. Effect sizes of other outcomes varied between −0.23 [−0.57, 0.12] and 0.30 [−0.05, 0.64]. The LMM showed a significant effect on the HHDI-Reaction of others scale in favor of communication partners in the treatment group, however, the effect did not remain significant at a 0.01 significance level and the effect size was very small and non-significant 0.12, 95% CI [−0.27 to 0.51]. Adjusted analyses did not reveal treatment effects.ConclusionThe DSL-protocol did not clearly contribute to the enhancement of communication and wellbeing in DSL-patients. Possible reasons for the lack of effects are OTs not being comfortable giving advice on communication and psychosocial issues or the short-term treatment and follow-up period. Further study is warranted to find out how the protocol may be adapted or whether it is necessary to involve mental healthcare professionals.Clinical Trial Registrationwww.ClinicalTrials.gov, identifier NTR2843. (shrink)

Throughout more than two millennia philosophers adhered massively to ideal standards of scientific rationality going back ultimately to Aristotle’s Analytica posteriora . These standards got progressively shaped by and adapted to new scientific needs and tendencies. Nevertheless, a core of conditions capturing the fundamentals of what a proper science should look like remained remarkably constant all along. Call this cluster of conditions the Classical Model of Science . In this paper we will do two things. First of all, we will (...) propose a general and systematized account of the Classical Model of Science. Secondly, we will offer an analysis of the philosophical significance of this model at different historical junctures by giving an overview of the connections it has had with a number of important topics. The latter include the analytic-synthetic distinction, the axiomatic method, the hierarchical order of sciences and the status of logic as a science. Our claim is that particularly fruitful insights are gained by seeing themes such as these against the background of the Classical Model of Science. In an appendix we deal with the historiographical background of this model by considering the systematizations of Aristotle’s theory of science offered by Heinrich Scholz, and in his footsteps by Evert W. Beth. (shrink)

In this article, we will first give a historic overview of the concept of benefit sharing and its appearance in official agreements, particularly with respect to crop genetic resources. It will become clear that, at present, benefit sharing is primarily considered as an instrument of compensation or exchange, and thus refers to commutative justice. However, we believe that such a narrow interpretation of benefit sharing disregards, and even undermines, much of its (historical) content and potency, especially where crop genetic resources (...) are concerned. We argue that benefit sharing should not be based merely on commutative justice but rather on a broader model that is also grounded in the concept of distributive justice. This has repercussions for the application of benefit sharing, which we try to clarify by distinguishing between downstream and upstream benefit sharing. Upstream benefit sharing is not so much inspired by compensation for actions done, or the distribution downstream of benefits developed, but by the idea of shared decision‐making on the research and development of resources fundamental to human welfare. Going upstream in the research process of crop genetic resources, and determining research agendas and improving crops according to the needs of the poor, benefit sharing may well be a tool to contribute to world food security and global justice. We concretize our ideas on upstream benefit sharing by introducing a set of criteria that determine the success of consultations on agricultural research agenda setting. (shrink)

Prenatal screening for foetal abnormalities such as Down's syndrome differs from other forms of population screening in that the usual aim of achieving health gains through treatment or prevention does not seem to apply. This type of screening leads to no other options but the choice between continuing or terminating the pregnancy and can only be morally justified if its aim is to provide meaningful options for reproductive choice to pregnant women and their partners. However, this aim should not be (...) understood as maximizing reproductive choice per se. Only if understood as allowing prospective parents to avoid suffering related to living with (a child with) serious disorders and handicaps can prenatal screening be a publicly or collectively funded programme. The alternative of moving prenatal testing outside the healthcare system into the private sector is problematic, as it makes these tests accessible only to those who can afford to pay for it. New developments in prenatal screening will have to be assessed in terms of whether and to what extent they either contribute to or undermine the stated aim of providing meaningful options for reproductive choice. In the light of this criterion, this article discusses the introduction of the new non‐invasive prenatal test (NIPT), the tendency to widen the scope of follow‐up testing, as well as the possible future scenarios of genome‐wide screening and ‘prenatal personalised medicine’. The article ends with recommendations for further debate, research and analysis. (shrink)

This paper concentrates on some aspects of the history of the analytic-synthetic distinction from Kant to Bolzano and Frege. This history evinces considerable continuity but also some important discontinuities. The analytic-synthetic distinction has to be seen in the first place in relation to a science, i.e. an ordered system of cognition. Looking especially to the place and role of logic it will be argued that Kant, Bolzano and Frege each developed the analytic-synthetic distinction within the same conception of scientific rationality, (...) that is, within the Classical Model of Science: scientific knowledge as cognitio ex principiis . But as we will see, the way the distinction between analytic and synthetic judgments or propositions functions within this model turns out to differ considerably between them. (shrink)

Many public information documents attempt to persuade the recipients that they should engage in or refrain from specific behaviour. This is based on the assumption that the recipient will decide about his or her behaviour on the basis of the information given and a rational evaluation of the pros and cons. An analysis of 20 public information brochures shows that the argumentation in persuasive brochures is often not marked as such. Argumentation is presented as factual information, and in many instances (...) the task of making argumentational links and drawing conclusions is left to the reader. However, since the information offered does follow familiar argumentational schemes, readers can, in principle, reconstruct the argument. All the brochures make use of pragmatic argumentation (argumentation from consequences),i. e.,they formulate at least certain benefits of the desirable behaviour or disadvantages of the undesirable behaviour. In addition, they make regular use of argumentation from cause to effect and argumentation from example. Argumentation from rules and argumentation from authority are less frequently used. This empirical analysis of the use of argumentation schemes is a solid base for interesting and rich hypotheses about the cognitive processing of persuasive brochures. Central processing requires the reader to be able to reconstruct argumentation from informational texts and to identify and evaluate various types of argumentation. (shrink)

In this series of papers, I attempt to provide an answer to the question how the Babylonian scholars arrived at their mathematical theory of planetary motion. Paper I (de Jong in Arch Hist Exact Sci 73:1–37, 2019) was devoted to a study of system A theory of the outer planets. In this second paper, I will study system A theory of the planet Venus. All presently known ephemerides of Venus appear to have been written after 200 BC so that (...) the development of system A theory of Venus may have been a late development. On the other hand, there are several earlier texts in which the motion of Venus, going from one synodic phenomenon to the next one, is parametrized in quite some detail. At least six computational systems of Venus are known of which only two, systems A0 and A3, are genuine type-A systems. Both are based on the hypothesis that in exactly 1151 years Venus experiences 720 synodic phenomena of the same kind and that after this period of 1151 years Venus returns to exactly the same position in the sky. This period relation was probably derived from the observational fact that after 8 years Venus returns to a position in the zodiac that falls on average 2.5° short of its previous position. The study of the Babylonian planetary theory of Venus presented here will be primarily based on the system A3 theory of Venus because it is the most complete of the two systems. The parameters of the four step functions characterizing the system A3 model of the first and last appearances of Venus are known from previous studies of tablet BM 32599 (ACT 1050). Based on a database of synthetic observations of the first and last appearances (morning first, morning last, evening first and evening last) and the two stationary points (morning station and evening station) of Venus between 315 BC and 50 BC, I first discuss the observational material from the point of view of a Babylonian astronomer. This involves deriving synodic time intervals and synodic arcs from the observed dates and longitudes of Venus. Both vary with the position of Venus in the zodiac. This variation shows up most purely in the synodic arcs and synodic time intervals of Venus at its stations. The variation pattern of the synodic arcs and of the synodic time intervals at the first and last appearances of Venus differ considerably because they are strongly affected by atmospheric extinction and by the ecliptic latitude of Venus. A comparison of predictions of the first and last appearances of Venus computed according to system A3 with observations in the synthetic database shows that the models provide fairly accurate fits to the observations of evening last and morning first with typical standard deviations of about 2° but rather poor fits to the observations of morning last and evening first with typical standard deviations of about 7° and 4°. Quite surprisingly, it turns out that the morning first A3 model fits the observed longitudes of Venus at its stations almost perfectly, with standard deviations of about 1°. This suggests that observations of the stations of Venus must have been available to the Babylonian astronomer(s) who constructed the system A3 model of Venus and who computed the longitudes of Venus at its first and last appearances preserved in tablet BM 32599. This is quite puzzling because observations of the stations of Venus were definitely not part of the standard observing program of the Babylonian astronomers as we know it from the Astronomical Diaries. To resolve this problem, I propose that observations could have been made by some individual astronomer for his own use but that these observations never became part of the tradition of what was regularly observed and recorded in the Astronomical Diaries. It turns out that 25 years of observations of Venus (here illustrated for the years 203 BC to 178 BC) is sufficient for the construction of a system A model that perfectly fits the variation of the synodic arcs of Venus at its stations. By combining observed time intervals and known velocities of Venus, observations over this limited timespan can also be used to construct longitudes of Venus at its first and last appearances from previous known positions of Venus based on Normal Stars passages or from known positions at its stations. This is the only way in which positions of Venus at its first and last appearances can be determined because at its first and last appearances the sky is too bright for Normal Stars to be visible. I propose that the Babylonian system A3 models of Venus were based on longitudes constructed in this way. I finally suggest that the tablet, of which BM 32599 is the remainder, was filled line by line starting with a set of initial values in the bottom left-hand corner of the tablet and that the choice of these initial values was based on an observation of Venus at its evening station when it was exceptionally close to the Normal Star η Piscium in February 179 BC. Based on this choice of initial conditions, the tablet covers the years 403 BC to 170 BC and it may have been composed around 170 BC. It was probably computed with the purpose of creating a raster of longitudes with mazes of about 2.5° that could be used to predict future positions of Venus at its first or last appearance once a position at a previous first or last appearance was available. (shrink)