Recent research in numerical cognition has begun to systematically detail the ability of humans and nonhuman animals to perceive the magnitudes of nonsymbolic ratios. These relationally defined analogs to rational numbers offer new potential insights into the nature of human numerical processing. However, research into their similarities with and connections to symbolic numbers remains in its infancy. The current research aims to further explore these similarities by investigating whether the magnitudes of nonsymbolic ratios are associated with space just as symbolic (...) numbers are. In two experiments, we found that responses were faster on the left for smaller nonsymbolic ratio magnitudes and faster on the right for larger nonsymbolic ratio magnitudes. These results further elucidate the nature of nonsymbolic ratio processing, extending the literature of spatial–numerical associations to nonsymbolic relative magnitudes. We discuss potential implications of these findings for theories of human magnitude processing in general and how this general processing relates to numerical processing. (shrink)

Although it is thought that young children focus on the magnitude of the target dimension across ratio sets during binary comparison of ratios, it is unknown whether this is the default approach to ratio reasoning, or if such approach varies across representation formats that naturally afford different opportunities to process the dimensions in each ratio set. In the current study, 132 kindergarteners performed binary comparisons of ratios with discrete and continuous representations. Results from a linear mixed model (...) revealed that children followed an additive strategy to ratio reasoning—i.e., they focused on the magnitude of the target dimension across ratio sets as well as on the absolute magnitude of the ratio set. This approach did not vary substantially across representation formats. Results also showed an association between ratio reasoning and children’s math problem-solving abilities; children with better math abilities performed better on ratio reasoning tasks and processed additional dimensions across ratio sets. Findings are discussed in terms of the processes that underlie ratio reasoning and add to the extant debate on whether true ratio reasoning is observed in young children. (shrink)

As Anthony Tol explains in his general introduction to (his translation of) Vollenhoven's 1926 inaugural address, the Reformed epistemology that Vollenhoven espouses here is essentially three-layered. Most basic is the intuition - the starting point of all knowing. It starts with discerning. Then there is knowledge. At this point language, communication, and judgments are relevant. The third layer is thought. Thought may disclose and renew or criticize and correct against the background of what we know. Thought is also central to (...) concept formation. The factor that runs through these three layers is truth, taken realistically. It has its seat in the intuition of discerning. It is central to knowledge, for the essence of knowledge is said to be "possessing truth." And in connection with thought, or more particularly in concept formation, the latter is described as "truth grasped in a form." Apart from advocating his own understanding of epistemology in this inaugural address, Vollenhoven takes issue with how epistemology is generally understood. The critique is cast in a historical overview. (shrink)

1735 veröffentlichte Johann Georg Zur Linden in Jena die "Ratio meditationis hermeneuticae imprimis sacrae methodo systematica proposita". Sein Werk ist das Resultat eines unerwarteten Bündnisses zwischen der wolffschen Aufklärung und dem Pietismus nach dem harten Zusammenstoß dieser beiden Richtungen, der seinen Höhepunkt in der Verbannung Wolffs aus Halle fand. In den folgenden Jahren trat eine neue kulturelle Figur in Erscheinung, der Aufklärer-Pietist oder umgekehrt, der die Hoch- und Spätaufklärung beherrschte und zu dessen ersten Repräsentanten Zur Linden zählt. Obgleich die (...) Ratio von den Vorschriften der logischen Hermeneutik ausgeht, beruht sie auf einer Aufwertung der Themen der antiken Rhetorik und konzipiert die Hermeneutik als eine auf die Mittel-Zweck-Rationalität gestützte Technik, der die Aufgabe zukommt, die besten Mittel für das Verstehen von Texten und Reden festzulegen. Die heilige Hermeneutik von Zur Linden zeichnet sich durch wenigstens vier innovative Aspekte aus: 1. Den Vorschlag einer allgemeinen Hermeneutik probabilistischer Art. 2. Eine eingehende Untersuchung der verschiedenen Sinnbegriffe und ihrer Wechselbeziehungen. 3. Die Kritik am Besserverstehen als Auslegungsziel. Die kritischen Punkte des Textes dürfen nicht zugunsten seiner Nichtwidersprüchlichkeit ausgemerzt werden, weil jede Verbesserung leicht in eine Manipulation des Sinns ausarten kann. 4. Die mögliche Nichtübereinstimmung zwischen dem, was der Autor sagen will, und dem, was er tatsächlich sagt. Für Zur Linden hat der Textsinn unzweifelhaft Vorrang und bildet den einzigen möglichen Zugang zum Autorsinn. Seine autorbezogene Texthermeneutik stellt sich noch heute als originelle, beachtenswerte Leistung dar. In 1735 Johann Georg Zur Linden published his "Ratio meditationis hermeneuticae imprimis sacrae methodo systematica proposita" in Jena. His work was the result of an unexpected alliance between the Wolffian Enlightenment and Pietism, after the fierce clash between these two trends which had culminated in Wolff’s banishment from Halle. In the years that followed a new cultural figure appeared, the Enlightener-Pietist, or vice versa, who was to dominate the high and late Enlightenment and of whom Zur Linden was one of the first examples. Although the Ratio takes as its starting-point the rules of logical hermeneutics, it is based in an evaluation of the themes of classical rhetoric, and conceives hermeneutics as a technique, grounded in means-end rationality, the task of which is to determine the best method for understanding texts and speech. Zur Linden’s sacred hermeneutic theory is distinguished by at least four innovative aspects: 1. The proposal of a general hermeneutics of a probabilistic type. 2. An intensive examination of the different concepts of sense and their interrelationships. 3. The critique of better understanding as the goal of exegesis. The critical points of the text should not be obliterated in favour of its consistency. 4. The possible lack of agreement between what the author intends to say and what he actually says. For Zur Linden the sense of the text takes undoubted precedence and constitutes the only possible access to the author’s sense. His author-related textual hermeneutics can still be seen today as an original and noteworthy achievement. (shrink)

In the homogeneous case of one-dimensional objects, we show that any relation that is positive and homothetic can be represented by a ratio-scale and a unique and constant biasing factor. This factor may favor or disfavor the preference for an object over another. In the first case, preferences are complete but not transitive and an object may be preferred even when its value is lower. In the second case, preferences are asymmetric and transitive but not negatively transitive and it (...) may not be sufficient for an object to have a greater value to be preferred. In this manner, the biasing factor reflects the extent to which preferences may depart from a maximization process. (shrink)

" La formule cartésienne causa sive ratio scande l'histoire de la causalité, entre le privilège suarézien de la cause efficiente et l'invention leibnizienne du principe de raison suffisante. Elle traverse un siècle exactement, des Disputationes metaphysicae de Suarez (1597) aux 24 thèses métaphysiques de Leibniz (1697). La métaphysique s'y constitue en époque de la causalité. Qu'ils la soutiennent ou qu'ils la récusent, les philosophes du XVIIe siècle ont en commun de discuter la thèse qui confère l'intelligibilité à la relation (...) causale ; elle prend la forme exemplaire de l'équivalence cartésienne de la cause et de la raison. Mais la façon dont la relation causale gagne l'intelligibilité demeure à son tour inintelligible, puisqu'elle renvoie à la toute-puissance incompréhensible de celui qui l'exerce, y compris peut-être envers lui-même : sui causa. C'est là précisément la thèse que les post-cartésiens ne cesseront de lire comme un problème et de récuser : Spinoza, en posant que l'ordre et la connexion des idées sont les mêmes que l'ordre et la connexion des choses ; Malebranche, en faisant de la cause occasionnelle une raison inefficace et en concentrant en Dieu toute l'efficace ; Leibniz, en employant le principe de raison suffisante, qui rationalise l'existence en la soustrayant à l'emprise de l'efficience. Loin de la produire, la causalité se voit alors soumise, sous diverses modalités, à l'intelligibilité. Aussi le principe de raison suffisante signe-t-il ce que nous appelons la fin de la cause - par excellence la fin de l'efficience -, qui n'est pas la fin de la question du fondement, mais le déplacement de sa réponse vers plus fondateur que la cause : la raison. Ainsi se trouve accomplie l'essence du fondement à l'époque moderne de l'histoire de la métaphysique. " V. C. (shrink)

Acting for the good of the patient is the most fundamental and universally acknowledged principle of medical ethics. However, given the complexity of modern medicine as well as the moral fragmentation of contemporary society, determining the good is far from simple. In his philosophy of medicine, Edmund Pellegrino develops a conception of the good that is derived from the internal morality of medicine via the physician-patient relationship. It is through this healing relationship that rights, duties, and privileges are defined for (...) both physicians and patients. Moreover, this relationship determines the characteristics or virtues that are necessary to engage in the medical telos. This paper addresses the role of the moral virtues in clinical medicine and the physician-patient relationship. First, it provides a brief background of the Aristotelian foundations of virtue-ethics. Second, it delves into Pellegrino’s philosophy of medicine understood as a practice oriented towards a teleological goal. Third, it relates the telos of medicine to the notion of the medical community as a fundamentally moral community. Finally, it concludes with a section that creates a dialogue between virtue ethics and principlism. (shrink)

This article examines the time duration of individual occasions in the light of the discovery that temporal succession produces frequency ratios. The frequency ratios are used to define energy ratios and the quantum. The manifold and the common particles are constructed graphically using the arrows of time, with the mass-ratios of the particles derivable from the graphs. The formal reduction of physics to time compels us to adopt Whitehead's conception of the physical universe as occasions of experience engaged in temporal/causal (...) succession. The relative duration of the constituent occasions of the particles are determined by their graphs. In the final section, a refined account of the mind-brain interaction sequence confirms the duration of a human occasion as one tenth of a second. (shrink)

This paper proposes a model ofratio decidendi as a justification structure consisting of a series of reasoning steps, some of which relate abstract predicates to other abstract predicates and some of which relate abstract predicates to specific facts. This model satisfies an important set of characteristics ofratio decidendi identified from the jurisprudential literature. In particular, the model shows how the theory under which a case is decided controls its precedential effect. By contrast, a purely exemplar-based model ofratio decidendi fails to (...) account for the dependency of precedential effect on the theory of decision. (shrink)

The Turing Test is of limited use for entities differing substantially from human performance levels. We suggest an extension of Turing’s idea to a more differentiated measure - the "Turing Ratio" - which provides a framework for comparing human and algorithmic task performance, up to and beyond human performance levels. Games and talent levels derived from pairwise comparisons provide examples of the concept. We also discuss the related notions of intelligence amplification and task breadth. Intelligence amplification measures total computational (...) efficiency (the computational benefit gained relative to investment, including programmer time, hardware, and so on); we argue that evolutionary computation is a key amplifier of human intelligence. Task breadth is an attempt to weight Turing Ratios by the frequency and importance of the task they measure - doing well at a broad range of tasks is an empirical definition of “intelligence”. Measuring Turing Ratios and considering task breadth, prior knowledge, and time series of the measures may yield long-term insight into both open-ended computational approaches and the underlying task domains being measured. (shrink)

Euclid discusses the ex aequali relationship twice in the Elements. The first is in Book V, during his discussion of arithmetical relations between mathematical magnitudes in general. The second is in Books VIIIX, he was not much troubled by the differences between his treatment of ex aequali ratios in these two contexts. Later generations of mathematicians, however, found these differences less acceptable and tried to minimize them in various ways. This paper summarizes Euclid's use of the ex aequali relation (...) in developing his mathematics. The paper then outlines the fate of the post-Theonine Greek attempts to the Euclidean discussion when the Elements entered the Arabic/Islamic intellectual tradition. The study concludes with the attempts by Ibn al-Hayam and Ibn al-Sarī to improve the parallelism between the discussions of ex aequali ratios in Book V and Book VII. (shrink)

Two experiments were conducted for the derivation of psychophysical scales of the following audio descriptors: spectral centroid, spectral spread, spectral skewness, odd-to-even harmonic ratio, spectral deviation, and spectral slope. The stimulus sets of each audio descriptor were synthesized and independently controlled through appropriate synthesis techniques. Partition scaling methods were used in both experiments, and the scales were constructed by fitting well-behaving functions to the listeners' ratings. In the first experiment, the listeners' task was the estimation of the relative differences (...) between successive levels of a particular audio descriptor. The median values of listeners' ratings increased with increasing feature values, which confirmed listeners' abilities to estimate intervals. However, there was a large variability in the reliability of the derived interval scales depending on the stimulus spacing in each trial. In the second experiment, listeners had control over the stimulus values and were asked to divide the presented range of values into perceptually equal intervals, which provides a ratio scale. For every descriptor, the reliability of the derived ratio scales was excellent. The unit of a particular ratio scale was assigned empirically so as to facilitate qualitative comparisons between the scales of all audio descriptors. The construction of psychophysical scales based on univariate stimuli allowed for the establishment of cause-and-effect relations between audio descriptors and perceptual dimensions, contrary to past research that has relied on multivariate stimuli and has only examined the correlations between the two. Most importantly, this study provides an understanding of the ways in which the sensation magnitudes of several audio descriptors are apprehended. (shrink)

Secular change in sex ratios is examined in relation to experience in the family. Two theoretical perspectives are outlined: Guttentag and Secord’s (1983) adaptation of social exchange theory, and sexual selection theory. Because of large-scale change in number of births and typical age differentials between men and women at marriage, low sex ratios at couple formation ages existed in the U.S. between 1965 and the early 1980s. The currently high sex ratios, however, will persist until the end of the century. (...) High sex ratios appear to be associated with lower divorce rates, male commitment to careers that promise economic rewards, male willingness to engage in child care, higher fertility, and higher rates of sexual violence. Sexual selection theory calls attention to intrasexual competition in the numerically larger sex. (shrink)

This article examines changes and continuities in the epistemic and methodological presence of “race” in British imperial demography from 1920 to 1960. It does so in relation to population-level interventions aimed at improving reproduction in the New Hebrides. Through an examination of the sex ratio in relation to debates about demographic decline, the article describes aspects of how sexual selection was connected to race thinking. Taking a balanced sex ratio as a marker of well-adapted, healthy populations—biologically and culturally—the (...) British authorities in the New Hebrides attempted to regulate the bride price in an attempt to level the imbalanced sex ratio. They believed that this intervention would reduce the marriage age of men while also appeasing missionary agendas of changing marriage and kinship practices. I use the metaphor of a “watermark” to think through the conceptual and methodological absent/presence of race in colonial demography and colonial administrators’ attitudes toward and interventions in local reproductive practices. (shrink)

A proposal for an objective interpretation of probability is introduced and discussed: probabilities as deriving from ranges in suitably structured initial-state spaces. Roughly, the probability of an event on a chance trial is the proportion of initial states that lead to the event in question within the space of all possible initial states associated with this type of experiment, provided that the proportion is approximately the same in any not too small subregion of the space. This I would like to (...) call the “natural-range conception” of probability. Providing a substantial alternative to frequency or propensity accounts of probability in a deterministic setting, it is closely related to the so-called “method of arbitrary functions”. It is explicated, confronted with certain problems, and some ideas how these might be overcome are sketched and discussed. (shrink)

Fair lotteries offer familiar ways to pose a number of epistemological problems, prominently those of closure and of scepticism. Although these problems apply to many epistemological positions, in this paper I develop a variant of a lottery case to raise a difficulty with the reliabilist's fundamental claim that justification or knowledge is to be analyzed as a high truth-ratio (of the relevant belief-forming processes). In developing the difficulty broader issues are joined including fallibility and the relation of reliability to (...) understanding. (shrink)

Using Australian records of human births for the first six decades of the twentieth century, the proportions of male and female births are studied in relation to the mother's age, the father's age, the parents' ages in combination, and certain other factors. The principal data used relate to the years 1931–55, during which over 3 million children were born, yet even so the significant features are not easy to discern.

The western consensus is that obese women are considered attractive by Afro-Americans and by many societies from nonwestern developing countries. This belief rests mainly on results of nonstandardized surveys dealing only with body weight and size, ignoring body fat distribution. The anatomical distribution of female body fat as measured by the ratio of waist to hip circumference (WHR) is related to reproductive age, fertility, and risk for various major diseases and thus might play a role in judgment of attractiveness. (...) Previous research (Singh 1993a, 1993b) has shown that in the United States Caucasian men and women judge female figures with feminine WHRs as attractive and healthy. To investigate whether young Indonesian and Afro-American men and women rate such figures similarly, female figures representing three body sizes (underweight, normal weight, and overweight) and four WHRs (two feminine and two masculine) were used. Results show that neither Indonesian nor Afro-American subjects judge overweight figures as attractive and healthy regardless of the size of WHR. They judged normal weight figures with feminine WHRs as most attractive, healthy, and youthful. The consensus on women’s attractiveness among Indonesian, Afro-American, and U.S. Caucasian male and female subjects suggests that various cultural groups have similar criteria for judging the ideal woman’s shape. (shrink)

Probability ratio and likelihood ratio measures of inductive support and related notions have appeared as theoretical tools for probabilistic approaches in the philosophy of science, the psychology of reasoning, and artificial intelligence. In an effort of conceptual clarification, several authors have pursued axiomatic foundations for these two families of measures. Such results have been criticized, however, as relying on unduly demanding or poorly motivated mathematical assumptions. We provide two novel theorems showing that probability ratio and likelihood (...) class='Hi'>ratio measures can be axiomatized in a way that overcomes these difficulties. (shrink)

Pauli's five-dimensional Dirac equation in projective space, which results in an anomalous magnetic moment term in four dimensions, is related to the Schuster-Blackett law of the magnetic field of rotating bodies and to the recent results on the gyromagnetic ratio in Kaluza-Klein theories.

Different types of explanations coexist in present-day biology. Functional explanations describe mechanisms, whereas evolutionary explanations provide answers to the question “why?” mostly by appealing to the past and present action of natural selection. But the relations between these two types of explanations, as well as the relative insights they offer, vary from one domain of research to another. We will illustrate this complex landscape of biological explanations with three examples involving aging, the sex ratio, and the phenomenon of (...) genomic imprinting. We will show that the two types of explanations have recently often progressed towards each other. In consequence, they cease to be “pure” functional or evolutionary explanations and become explanations that may be alternatively considered as functional or evolutionary. (shrink)

Female waist-to-hip ratio (WHR) has generally been an important general predictor of ratings of physical attractiveness and related characteristics. Individual differences in ratings do exist, however, and may be related to differences in the reproductive tactics of the male raters such as pursuit of short-term or long-term relationships and adjustments based on perceptions of one’s own quality as a mate. Forty males, categorized according to sociosexual orientation and physical qualities (WHR, Body Mass Index, and self-rated desirability), rated female models (...) on both attractiveness and likelihood they would approach them. Sociosexually restricted males were less likely to approach females rated as most attractive (with 0.68–0.72 WHR), as compared with unrestricted males. Males with lower scores in terms of physical qualities gave ratings indicating more favorable evaluations of female models with lower WHR. The results indicate that attractiveness and willingness to approach are overlapping but distinguishable constructs, both of which are influenced by variations in characteristics of the raters. (shrink)

Asking people to discover the identity of a recognition test probe immediately before making a recognition judgment increases the probability of an old judgment. To inform theories of this “revelation effect,” event-related potentials were recorded for revealed and intact test items across two experiments. In Experiment 1, we used a revelation effect paradigm where half of the test probes were presented as anagrams and the other items were presented intact. The pattern of ERP results from this experiment suggested that revealing (...) an item decreases initial familiarity levels and caused the revealed items to elicit similar levels of activity. In Experiment 2, half of the probes were preceded by an addition task . The pattern of ERP effects in this study were distinct from those observed in Experiment 1. More specifically, revealed item ERPs were more negative than intact ERPs at frontal electrodes and more positive at parietal electrodes early in the interval. Later in the epoch, revealed item ERPs were more negative than intact items. These data suggest that related tasks decrease familiarity and alter the signal-to-noise ratio of old and new items, whereas unrelated tasks affect processing in a different way that also results in the revelation effect. The implications for current theories of the revelation effect are discussed. (shrink)

The ratio of index- and ring-finger lengths is thought to be related to prenatal androgen exposure, and in many, though not all, populations, men have a lower average digit ratio than do women. In many studies an inverse relationship has been observed, among both men and women, between 2D:4D ratio and measures of athletic ability. It has been further suggested that, in hunter-gatherer populations, 2D:4D ratio might also be negatively correlated with hunting ability, itself assumed to (...) be contingent on athleticism. This hypothesis has been tested using endurance running performance among runners from a Western, educated, and industrialized population as a proximate measure of hunting ability. However, it has not previously been tested among actual hunter-gatherers using more ecologically valid measures of hunting ability and success. The current study addresses this question among Tanzanian Hadza hunter-gatherers. I employ a novel method of assessing hunting reputation that, unlike previous methods, allows granular distinctions to be made between hunters at all levels of perceived ability. I find no statistically significant relationship between digit ratio and either hunting reputation or two important hunting skills. I confirm that Hadza men have higher mean 2D:4D ratios than men in many Western populations. I discuss the notion that 2D:4D ratio may be the consequence of an allometric scaling relationship between relative and absolute finger lengths. Although it is difficult to draw clear conclusions from these results, the current study provides no support for the theorized relationship between 2D:4D ratio and hunting skill. (shrink)

This paper proposes a wider framework for the diagnostic and evaluative readings of Fides et Ratio. Each commentator has provided an exit from the impasse of the encyclical’s rhetoric of affirmation and denial in the form of a double reading of the text. In a wider framework, John Paul II holds up Antonio Rosmini among those whose works he considers paradigmatic for the fruitful relation between faith and reason. This displays a period of a prolonged struggle between an Augustinian (...) and a Thomist style of theology which finds expression in a Christ-versus-culture approach in Catholic theology. The reading of Fides et Ratio reveal something of a “third way” in their affirmative readings of the encyclical. (shrink)

In recent years Vietnam has experienced a high sex ratio at birth SRB) amidst rapid socioeconomic and demographic changes. However, little is known about the differentials in SRB between maternal socioeconomic and demographic groups. The paper uses data from the annual Population Change Survey (PCS) in 2006 to examine the relationship of the sex ratio of the most recent birth with maternal socioeconomic and demographic characteristics and the number of previous female births. The SRB of Vietnam was significantly (...) high at 111.4 (95% CI 109.7–113.1) for the period 1st April 2000 to 31st March 2006. Multivariate analysis reveals that sex of the most recent birth is strongly related with the number of previous female births. This association is consistent across different socioeconomic and demographic groups of women. Given the high SRB in Vietnam, further research into the reasons for high SRB in these groups is required, as are intervention programmes such as those raising the public awareness of its negative consequences. © Cambridge University Press, 2010. (shrink)

The ratio of index- and ring-finger lengths is thought to be related to prenatal androgen exposure, and in many, though not all, populations, men have a lower average digit ratio than do women. In many studies an inverse relationship has been observed, among both men and women, between 2D:4D ratio and measures of athletic ability. It has been further suggested that, in hunter-gatherer populations, 2D:4D ratio might also be negatively correlated with hunting ability, itself assumed to (...) be contingent on athleticism. This hypothesis has been tested using endurance running performance among runners from a Western, educated, and industrialized population as a proximate measure of hunting ability. However, it has not previously been tested among actual hunter-gatherers using more ecologically valid measures of hunting ability and success. The current study addresses this question among Tanzanian Hadza hunter-gatherers. I employ a novel method of assessing hunting reputation that, unlike previous methods, allows granular distinctions to be made between hunters at all levels of perceived ability. I find no statistically significant relationship between digit ratio and either hunting reputation or two important hunting skills. I confirm that Hadza men have higher mean 2D:4D ratios than men in many Western populations. I discuss the notion that 2D:4D ratio may be the consequence of an allometric scaling relationship between relative and absolute finger lengths. Although it is difficult to draw clear conclusions from these results, the current study provides no support for the theorized relationship between 2D:4D ratio and hunting skill. (shrink)

Pope John Paul II’s encyclical letter Fides et Ratio examines the foundations of epistemology and encourages a renewed discourse on what it actually means to know truth. The pontiff—both a philosopher and a theologian—reevaluates through the prism of man’s proper relation to truth the age-old question about the compatibility of faith and reason as means of acquiring knowledge. John Paul offers his perspective on the matter in the “Introduction” to Fides et Ratio by employing, in his native Polish, (...) four non-exchangeable epistemological terms. Due, however, to the rather imprecise translations of his work, the profundity of John Paul’s thought largely has been obscured.The author of this paper attempts to recover the pope’s particular understanding of the nature of knowledge by expounding on the epistemological paradigm and norm presented by John Paul in addition to critiquing his view that modern society’s pursuit of knowledge parallels sinking in quicksand. Uncovering these insights ultimately leads him to a fuller interpretation of what kind of “knowledge,” according to Pope John Paul II, properly reflects the totality of man’s innate personhood and therefore what ought to constitute the underpinnings of knowledge itself. (shrink)

Different legal expert systems may be incompatible with each other: A user in characterizing the same situation by answering the questions presented in a consultation can be led to contradictory inferences. Such systems can be “synthesized” to help users avoid such contradictions by alerting them that other relevant systems are available to be consulted as they are responding to questions. An example of potentially incompatible, related legal expert systems is presented here ‐ ones for the New Jersey murder statute and (...) the celebrated Quinlan case, along with one way of synthesizing them to avoid such incompatibility. (shrink)

The well-known Ratio Studiorum of 1599 states that logical instruction should follow F. Toletus or P. Fonseca. The latter authored the famous Institutionum Dialecticarum Libri Octo, the former a similar manual, Introductio in Dialecticam Aristotelis. As is often observed, the contrast between the Aristotelian and present symbolic logics is perhaps most striking in their analysis of relational statements. Both authors recognize the relational logical form as independent from the traditional subject-predicate form and see the need to recognize relational inferential (...) rules. They differ in their specific rules, however, so neither of the authors has captured the system of relational syllogism in its entirety. (shrink)

The well-known Ratio Studiorum of 1599 states that logical instruction should follow F. Toletus or P. Fonseca. The latter authored the famous Institutionum Dialecticarum Libri Octo, the former a similar manual, Introductio in Dialecticam Aristotelis. As is often observed, the contrast between the Aristotelian and present symbolic logics is perhaps most striking in their analysis of relational statements. Both authors recognize the relational logical form as independent from the traditional subject-predicate form and see the need to recognize relational inferential (...) rules. They differ in their specific rules, however, so neither of the authors has captured the system of relational syllogism in its entirety. (shrink)

Comparativism--the view that comparative relations like mass ratios are fundamental and intrinsic values of quantities are not--faces a challenge from physics. In its standard form, comparativism predicts indeterminism in physical theories that are ordinarily understood as deterministic. I explore an option for saving comparativism from this objection: the introduction of "mixed" relations that compare values of unlike quantities. Although tenable, this revised version of comparativism lacks some of the theoretical virtues of the standard version.

Word in noise identification is facilitated by acoustic differences between target and competing sounds and temporal separation between the onset of the masker and that of the target. Younger and older adults are able to take advantage of onset delay when the masker is dissimilar to the target word, but only younger adults are able to do so when the masker is similar. We examined the neural underpinning of this age difference using cortical evoked responses to words masked by either (...) Babble or Noise when the masker preceded the target word by 100 or 600 ms in younger and older adults, after adjusting the signal-to-noise ratios to equate behavioural performance across age groups and conditions. For the 100 ms onset delay, the word in noise elicited an acoustic change complex response that was comparable in younger and older adults. For the 600 ms onset delay, the ACC was modulated by both masker type and age. In older adults, the ACC to a word in babble was not affected by the increase in onset delay whereas younger adults showed a benefit from longer delays. Hence, the age difference in sensitivity to temporal delay is indexed by early activity in the auditory cortex. These results are consistent with the hypothesis that an increase in onset delay improves stream segregation in younger adults in both noise and babble, but only in noise for older adults and that this change in stream segregation is evident in early cortical processes. (shrink)

Parental investment theory postulates that where physical condition varies significantly then birth sex ratio will be correlated with social status. Application of this theory to man remains contentious. This study examines physique, wealth, and social status in relation to the sex of live births. It reports a female-biased sex ratio in high social and economic status Nepalese. Close consanguineous marriage, intended to conserve landed wealth within related lineages, and increased female work burdens accompanying larger farm size, are proximate (...) factors which may underlie this finding. A differential payback hypothesis is one way of explaining this pattern. (shrink)

The thesis that numbers are ratios of quantities has recently been advanced by a number of philosophers. While adequate as a definition of the natural numbers, it is not clear that this view suffices for our understanding of the reals. These require continuous quantity and relative to any such quantity an infinite number of additive relations exist. Hence, for any two magnitudes of a continuous quantity there exists no unique ratio. This problem is overcome by defining ratios, and (...) hence real numbers, as binary relations between infinite standard sequences. This definition leads smoothly into a new definition of measurement consonant with the traditional view of measurement as the discovery or estimation of numerical relations. The traditional view is further strengthened by allowing that the additive relations internal to a quantity are distinct from relations observed in the behaviour of objects manifesting quantities. In this way the traditional theory can accommodate the theory of conjoint measurement. This is worth doing because the traditional theory has one great strength lacked by its rivals: measurement statements and quantitative laws are able to be understood literally. 1 This paper was completed in 1990-1. while the author was a visiting scholar at the Irvine Research Unit in Mathematical Behavioral Sciences. University of California. Irvine. The author wishes to thank the Director. Professor R. D. Luce, for the generous provision of space and facilities within the Unit and for his critical comments upon some of the ideas expressed herein: Professor L. Narens. for his trenchant criticisms: and the University of Sydney, for granting Special Study Leave and financial assistance to make the visit possible. (shrink)

This paper investigates a stochastic two-patch predator-prey model with ratio-dependent functional responses. First, the existence of a unique global positive solution is proved via the stochastic comparison theorem. Then, two different methods are used to discuss the long-time properties of the solutions pathwise. Next, sufficient conditions for extinction and persistence in mean are obtained. Moreover, stochastic persistence of the model is discussed. Furthermore, sufficient conditions for the existence of an ergodic stationary distribution are derived by a suitable Lyapunov function. (...) Next, we apply the main results in some special models. Finally, some numerical simulations are introduced to support the main results obtained. The results in this paper generalize and improve the previous related results. (shrink)

The male gametes of most organisms lack cytoplasm. Consequently, most cytoplasmic genetic elements are maternally inherited: they cannot be transmitted patrilinnearly. The evolutionary interests of cytoplasmic elements therefore lie in transmission through the female. These elements may thus be in evolutionary conflict with nuclear genes which are transmitted by both sexes. This conflict is manifested in observations of cytoplasmically induced biased sex‐ratios. Some cytoplasmic genes avoid this fate by biasing the primary sex ratio towards females, or by inducing parthenogenesis. (...) Others kill male hosts, and either achieve transmission via dispersal, or benefit their clonal relatives in the dead male's female siblings. Still others cause the failure of zygotes resulting from pairings between males carrying specific microbes and females lacking them, causing an increase in the microbes through the sterilisation of non‐bearing females. Many, but not all, of these ‘ultra‐selfish’ microbes are closely related. Investigations of the significance of their phylogenetic affinities, or lack of them, their adaptability in terms of the methods by which they avoid, or ameliorate, the adverse effects of being in male hosts, and their importance as selective agents in the evolution of invertebrate sex determination systems, provide fertile spheres for future research. (shrink)

The author considers Pope John Paul II's 1998 encyclical, Fides et ratio, as bringing into view new horizons for Catholic philosophical theology by virtue of its endorsement of a constrained philosophical pluralism. Through a retrospective examination of the history of magisterial interventions as depicted in the encyclical, the author notes how a progressive openness to philosophical pluralism relates to the changed status of Thomism within magisterial teaching on the practice of Catholic philosophical theology. Fides et ratio describes an (...) evolution in magisterial emphasis from proscription to prescription, which corresponds to change in the status of Thomism from an absolute to an exemplary norm. Attention to this decisive shift in the normative status of Thomism, as implied within the encyclical itself, provides both new illumination on the Pope's general intentions and new clarity with regard to some contested interpretive issues. Finally, the author highlights several new challenges that are implied by this development in magisterial teaching. (shrink)