A close reading of the five mathematical studies Socrates proposes for the philosopher-to-be in Republic VII, arguing that (1) each study proposes an object the thought of which turns the soul towards pure intelligibility and that (2) the sequence of studies involves both a departure from the sensible and a return to it in its intelligible structure.

The golden ratio is found to be related to the fine-structure constant, which determines the strength of the electromagnetic interaction. The golden ratio and classical harmonic proportions with quartic equations give an approximate value for the inverse fine-structure constant the same as that discovered previously in the geometry of the hydrogen atom. With the former golden ratio results, relationships are also shown between the four fundamental forces of nature: electromagnetism, the weak force, the strong force, and the (...) force of gravitation. (shrink)

The proof of God’s existence, known as Ratio Anselmi, is being analyzed. Four first-order theories are constructed to mirror versions of Anselm’s reasoning. God’s existence is shown to be provable in all of them. A traditional objection to the employment of a concept of God is overruled. And yet, Anselm’s proof is eventually found to be incorrect. The error attributed to Anselm consists in an illegitimate use of the words “greater‘ and “conceivable‘, and is identified as quaternio terminorum or (...) petitio principii, depending on circumstances. It is claimed that there is no direct way to improve the argument. (shrink)

Tsui and Weymark (Economic Theory, 1997) have shown that the only continuous social welfare orderings on the whole Euclidean space which satisfy the weak Pareto principle and are invariant to individual-specific similarity transformations of utilities are strongly dictatorial. Their proof relies on functional equation arguments which are quite complex. This note provides a simpler proof of their theorem.

Purpose of this article is to investigate the role that the "miraculous" – that is, everything that goes beyond “natural” – plays in the worldview of Western man. Methodology. I do not consider “miracles” as the facts of nature, but as the facts of culture, so in this article I am not talking about specific cases of violation of “laws of nature”, but about the place of “miraculous” in the view of the world of Western man and those transformations, that (...) occur with this element outlook influenced the development of information technologies. Novelty. It has been proved that miracles should be sought in mind, because the “miraculous” event does our attitude towards it. Moreover, it is impossible to determine the “true miracle”, while we are “inside” the reality. It has been demonstrated that influenced the development of society is transformed representations of gods and miracles. It has been discovered fundamental shift associated with the transition from mythology-as-faith to mythology-as-show. However, even within the latter remains a need for miracles, though, and goes to a completely different level. Conclusions. The term "miracle" has no meaning outside of accepted socio-cultural settings. The last set as the “natural” conditions and admissibility (inadmissibility) of its violation. And these installations are formed by social institutions, which in this age and at this time have a weight sufficient to impose their views to all the congregation or the greater part. Any extraordinary event can be explained by the action of internal agents unknown to us, and their ability to alter the reality is not necessarily superior to even our own capabilities. The only thing we can not do – is to change the source code of being (e.g., fundamental physical constants). This could make only creatures that are not spelled out in these source codes. However, people have not seen anything like it, and scarcely become witnesses of such events. (shrink)

The study pursues, in a historical as well as in a systematic-analytical way, the reading of Descartes' philosophy as a project of a fundamental critique of theology and transcendence. Besides the exclusion of everything 'theological' from the field of rational discourse and its relegation to the field of fideism, this also involves the reinterpretation of the concept of 'God' as Descartes uses it, in a sense that is to be purified of transcendental, but especially of theistic implications.

Objective: Inflammation is one of several etiopathological mechanisms contributing to bipolar disorder. Neutrophil-lymphocyte ratio (NLR), monocyte-lymphocyte ratio (MLR), and platelet-lymphocyte ratio (PLR) are relatively cheap hematological parameters recommended to measure the level of inflammation. In this study, the NLR, MLR, and PLR values of the same patients during manic and euthymic periods were compared to a healthy control group. -/- Methods: This retrospective study was conducted on inpatients with bipolar disorder manic episodes at the University Faculty of (...) Medicine psychiatry clinic. Ninety-nine patients with manic episodes of bipolar disorder and age and gender-matched 101 volunteers without prior psychiatric illness were included in the study. Neutrophil, lymphocyte, monocyte, and platelet counts during the disease period were recorded, and NLR, MLR, and PLR values were calculated from these values. Similar hematological parameters of the same patients in the euthymic period after discharge were compared. -/- Results: Patients with manic episodes were shown to have significantly higher neutrophil, platelet, NLR, MLR, and PLR levels than the control group (p<0.001). Monocyte count was significantly lower in manic episode patients compared to controls (p<0.001). Neutrophil and monocyte counts were significantly lower during the euthymic period compared to the control group, while NLR, MLR, and PLR levels were higher (p<0.001). -/- Conclusions: The fact that NLR, MLR, and PLR are higher in BD patients compared to the healthy control group in both manic and euthymic periods indicates that they can be used as trait biomarkers. (shrink)

Aquinas says that omnipotence means power for everything possible, which is everything not self-contradictory. This view faces various objections; to many of them, it seems that one could respond more easily by saying that omnipotence is God's power for everything that is not self-contradictory for Him to do. But this is a weak answer, and Thomas's support for it is only apparent. A more satisfactory solution is found in a fundamental restriction on the term "power" that Thomas thinks necessary when (...) power is attributed to god. It is exclusively productive power. So omnipotence is the power to produce everything producible. Still, Thomas himself, in earlier works, seems to have adopted an excessive distinction between power and will in God. But in the two Summae, it becomes clear that power is properly power to produce some being; and so omnipotence is power to produce every possible being. (shrink)

After a brief review of the golden ratio in history and our previous exposition of the fine-structure constant and equations with the exponential function, the fine-structure constant is studied in the context of other research calculating the fine-structure constant from the golden ratio geometry of the hydrogen atom. This research is extended and the fine-structure constant is then calculated in powers of the golden ratio to an accuracy consistent with the most recent publications. The mathematical constants associated (...) with the golden ratio are also involved in both the calculation of the fine-structure constant and the proton-electron mass ratio. These constants are included in symbolic geometry of historical relevance in the science of the ancients. (shrink)

During the century following the Council of Trent, two trends within Catholic religious orders matured: the first consisted in unifying and strengthening the Order’s culture by focussing on one author of reference; the other in elaborating a new way of presenting that author’s doctrines. In the case of the Friars Minor Conventuals, these trends were fostered in the second decade of the seventeenth century by the minister general of the Order, Giacomo Montanari, who promoted the idea that providing the Order (...) with new works featuring innovative didactic characteristics and a renewed defence of the doctrines of John Duns Scotus was a prime way to lead an authentic religious life. Bartolomeo Mastri and Bonaventura Belluto’s “philosophiae cursus ad mentem Scoti” was probably the major result of this impulse. This essay examines the ways in which this process occurred and the outcomes to which it led. (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)

Bayesian confirmation theory is rife with confirmation measures. Zalabardo focuses on the probability difference measure, the probability ratio measure, the likelihood difference measure, and the likelihood ratio measure. He argues that the likelihood ratio measure is adequate, but each of the other three measures is not. He argues for this by setting out three adequacy conditions on confirmation measures and arguing in effect that all of them are met by the likelihood ratio measure but not by (...) any of the other three measures. Glass and McCartney, hereafter “G&M,” accept the conclusion of Zalabardo’s argument along with each of the premises in it. They nonetheless try to improve on Zalabardo’s argument by replacing his third adequacy condition with a weaker condition. They do this because of a worry to the effect that Zalabardo’s third adequacy condition runs counter to the idea behind his first adequacy condition. G&M have in mind confirmation in the sense of increase in probability: the degree to which E confirms H is a matter of the degree to which E increases H’s probability. I call this sense of confirmation “IP.” I set out four ways of precisifying IP. I call them “IP1,” “IP2,” “IP3,” and “IP4.” Each of them is based on the assumption that the degree to which E increases H’s probability is a matter of the distance between p and a certain other probability involving H. I then evaluate G&M’s argument in light of them. (shrink)

Purpose: Despite the prevalent use of the golden ratio in the environment design for autistic users, there is no experimental research that explains their desired space ratio. This study aims to find the desired ratio in the learning environment, like an occupational therapy room for autistic users, while considering effective variables on their choices. Methodology: Based on McAllister's (2012) study, a scale model inspired by a dollhouse has been chosen to work and play with autistic children directly (...) and find their desired space ratio. Meanwhile, the furniture configuration and the access type in the environment could also define the ratio for interviewees. Accordingly, the scale model was designed with six different scale rooms containing three ratios and two spatial access types represented by the furniture arrangement. 50 autistic children of different ages, genders, and disorders in the moderate and medium spectrum have been randomly sampled. Then, they were asked to choose their desired ratio by playing with the scale model and putting the doll in their preferred room. This study also included 50 non-autistic children as a control group with different genders and defined ages. Result: After interviewing both groups, the chi-square test with Cramer's V calculation analyzed the result to find the statistically significant correlation between control variables, among which two independent variables had a statistically significant correlation with the chosen ratio for all the interviewees. First, being autistic significantly impacted their desired ratio choice as autistic children went for a ratio of 2:5, and no autistic ones had a high tendency toward the golden ratio (1:1.6). The chi-square test also showed that the access type in the scale model was the effective variable for both groups when choosing their desired ratio. Conclusion: The access type of the room with its furniture configuration impacted how users perceived the room's ratio, as well as being autistic or non-autistic users. (shrink)

In recent years, a number of commentators have expressed dissatisfaction with Spinoza’s account of practical reason. In this paper, I defend his account against the most prominent objections, showing that the dictates of reason play an important role in guiding thought and action. However, against the standard interpretation, I propose that we view these rules not as exceptionless, instrumental prescriptions—hypothetical imperatives with necessary antecedents, as Curley memorable put it—but rather as adaptable guideposts that aid us in the complex, dynamic process (...) of acquiring a habit of virtue. The dictates of reason are best understood as defeasible policies that help to orient one in the ars vivendi. (shrink)

Amongst invertebrates, molluscs show great variability in their nervous system ranging from primitive arrangement in Chitons to the complex mass of fused ganglia forming the ‘brain’ of cephalopods. Most of the effector organs used for pharmacological or physiological experiments. The neurosecretory cells (NSCs) with their combination of neuronal and glandular capabilities are perfectly suited to translate a neuronal input into the hormonal output best suited to long-term process. In this capacity, the NSCs may produce hormones, which act directly upon the (...) peripheral target or it may exert its effect indirectly by influencing the activity of other non-neural, endocrine organs. Neurosecretory cells have been detected in the cerebral, pedal and visceral ganglia of Lamellidens corrianus. The distribution and biology of freshwater bivalve like Lamellidens corrianus is influenced by local ecological factors (like temperature, pH, inorganic salts, type of soil etc.), water flow system and presence of micro-organisms, teleost fishes and seasonal variations in these parameters. Nitrogenous excretory changes which include ammonia in these molluscs is also influenced by these local ecological factors in which temperature is plays very crucial role. It is well known fact that the high stress conditions during drought or severe winter conditions have been conquered by several lineage of gastropods and sand bivalves and their ability to enter the resistant or dormant stages (low food) protein catabolism increased. Present investigation deals with the oxygen consumption and ammonia excretion ratio of these freshwater pelecypode Lamellidens corrianus. Study on Lemellidens corrianus directed in understanding the different behavioral and physiological aspects after cerebral ganglia removal and injection of their extracts revealed significant changes during summer (April-May). (shrink)

Decision-making by a Data and Safety Monitoring Board (DSMB) regarding clinical trial conduct and termination is intricate and largely limited by cases and rules. Decision-making by legal jury is also intricate and largely constrained by cases and rules. In this paper, I argue by analogy that legal decision-making, which strives for a balance between competing demands of conservatism and innovation, supplies a good basis to the logic behind DSMB decision-making. Using the doctrine of precedents in legal reasoning as my central (...) analog will lead us to a decision-theoretic analogy for much more systematic documentation of decisions in clinical trials. My conclusion is twofold: every DSMB decision should articulate a clear general principle (a ratio decidendi) that gives reason for the decision; and all such decisions should be made public. I use Bartha’s (2010) theory of analogical arguments to both frame and assess my argument by analogy. (shrink)

This article shows that a slight variation of the argument in Milne 1996 yields the log‐likelihood ratio l rather than the log‐ratio measure r as “the one true measure of confirmation. ” *Received December 2006; revised December 2007. †To contact the author, please write to: Formal Epistemology Research Group, Zukunftskolleg and Department of Philosophy, University of Konstanz, P.O. Box X906, 78457 Konstanz, Germany; e‐mail: franz.huber@uni‐konstanz.de.

Elephants need no less than twenty-two months. But what are elephants in comparison with reason, whose incubation took more than twenty-three centuries, beginning with the dawn of western philosophy in the sixth century BCE and ending in Leibniz’s formulation of the Principle of Sufficient Reason. Carraud’s fascinating book tells the story of the very last stages of this Heideggerian plot, which is also the story of the rise and fall of the efficient cause in early modern philosophy and of the (...) rehabilitation of the final cause. The chronological frame of the book is roughly the century between Suarez’s Disputationes metaphysicae and Leibniz’s De rerum originatione radicali and Les 24 thèses métaphysiques. (shrink)

El objetivo de este pequeño trabajo es ayudar a comprender la necesidad de la composición real en el ser participado. Lo hacemos sirviéndonos de una parte de la magnífica obra del p. Fabro, La noción metafísica de participación. En la primera parte de nuestro trabajo nos serviremos de algunos de los textos de Santo Tomás que reportaba el p. Fabro, los que más nos ayuden a comprender la demostración. En la segunda, y al mismo efecto, estudiaremos el silogismo del p. (...) Fabro, con el cual dicho autor trataba de condensar la demostración de la composición real en todo ser participado. (shrink)

Human beings by nature are rational beings. They are endowed with the gift of intellect in order to known, discern, and examine their self, reality, and God. The proper end of man’s intellectual endeavor is the Truth. However, attaining the truth is not an immediate and simple endeavor. The history of man reveals how various thinkers have debated and argued concerning the truth. Especially during the medieval and enlightenment period where the critical clash between faith and reason took place. The (...) medieval period thinkers emphasized the authority of faith in understanding the truth who is God. on the other hand, the enlightenment thinkers abandoned the eligibility of faith and solely relied on the capacity of reason. hence, the problem is: Which among these two modes of learning – faith and reason - will enable man to elevate himself towards the truth? This controversy was being addressed by Pope John Paul II on his encyclical letter Fides et Ratio. In the letter, he emphasized the mutual relationship between faith and reason. These two are distinct yet complementary factors in journeying towards the truth. This relationship is also understood under the context of Aristotle’s theory of the golden mean. This theory suggests that man should strike the mean and avoid the two vices: excess and defect. By moderation, man will become virtuous. Applying to the dialogue between faith and reason, man should avoid exceeding in giving authority to either of the two. Excess in faith would result to fideism and excess in reason would result to rationalism. Hence, man should observe moderation in order to have a harmonious dialogue between faith and reason. In this paper, the researcher will expose the relevance of Aristotle’s theory of moderation towards harmonizing the dialogue between faith and reason as seen in the Fides et Ratio of Karol Wojtyla. First, the researcher will discuss Aristotle’s theory of the Golden Mean; second, the researcher will expose the relationship between faith and reason in Pope John Paul II’s fides et ratio; and third will be the application of Aristotelian Moderation in the context of the dialogical encounter between faith and reason. -/- . (shrink)

Objective: In this study, we aimed to identify patients at risk of chemotherapy-induced cardiotoxicity with a simple method like platelet-to-lymphocyte ratio (PLR) before starting therapy. Method: A total of 65 breast cancer patients who completed anthracycline or adjuvant trastuzumab treatment were evaluated retrospectively. Serial PLR calculations, echocardiographic examinations, and cardiac markers before treatment and after follow-up period were analyzed. Cardiotoxicity was determined according to Cardiac Review and Evaluation Committee Criteria. Results: Patients were divided into two groups according to their (...) baseline PLR levels as Group C—PLR < 119 and Group D—PLR 120. The median follow-up of the study was 22.23 (12-42) months. Concomitant disease and baseline characteristics were similar in both groups. Symptomatic cardiotoxicity was not observed in both groups. Cardiotoxicity was occurred in one patient (2.3%) in Group C and in four patients (9.5%) in Group D (P ¼ .005). Average mean left ventricular ejection fraction loss from baseline was 10.7 6 7.0% in Group D vs 2.3 6 6.4% in Group C (P ¼ .008). Interpretation of cardiac markers that were present in nearly half of the patients revealed that serum hs-c-reactive protein and pro-brain natriu¨ retic peptide levels were significantly higher in patients who developed cardiotoxicity compared to who did not develop cardiotoxicity. PLR 120 had 99% sensitivity and 85% specificity in predicting cardiotoxicity. Conclusion: This study’s results showed that high PLR levels were associated with chemotherapy-induced cardiotoxicity. To our best knowledge, this is the first study, examining the impact of whole blood test on chemotherapy-induced cardiotoxicity before starting the therapy and allowing doctors plot a route for these risky patients. (shrink)

This brief paper summarizes a series of postal investigations on the acceptance of selection for X or Y spermatozoa. These were conducted mainly in Germany but also in the UK, the Netherlands and the US. Selected families were approached with a series of questions about their wish to use sperm selection, and their choice of boys or girls. In general, large majorities opposed this approach for family balancing or sex selection on the basis of cost and inconvenience of the treatment. (...) The view was expressed that its use in medicine was more acceptable. Care was taken to compose a series of open questions to particular sections of the population, e.g.men versus women, differing ages, and families with imbalanced sex ratios. More favourable responses arose, for example in pregnant women. Overall, all four nations had large majorities against the use of sex selection. (shrink)

Hedonisme merupakan permasalahan yang cukup mendasar di dalam masyarakat, khususnya di Indonesia. Terdapat beberapa dampak buruk yang dihasilkan oleh hedonisme seperti kemiskinan, permasalahan hutang-piutang, dan konflik sosial. Dengan tingkat pendapatan yang tidak sesuai dengan tingkat pengeluaran seseorang, hal ini dapat menyebabkan ketidakseimbangan kondisi finansial seseorang. Teori ekonomi marxisme—yang dipelopori oleh Karl Marx melalui salah satu bukunya yang berjudul Das Kapital—membantu kita untuk memahami lebih lanjut tentang pertimbangan logis ketika melakukan konsumsi dan memaksimalkan utilitas untuk memenuhi kepentingan kolektif. Kapitalisme menciptakan dorongan (...) yang cukup radikal di dalam aktivitas konsumsi seseorang, di mana dengan adanya analisa Law Diminishing Marginal Utility, para kapitalis akan dengan mudah untuk membuat inovasi baru sehingga dapat menghasilkan komoditas baru yang dengan sengaja diposisikan sebagai komoditas yang dibutuhkan oleh masyarakat. Debt to Income Ratio yang menjadi salah satu rasio untuk mengukur kewajiban dan pendapatan entitas dapat digunakan sebagai langkah untuk mencegah atau memperlambat perkembangan budaya hedonisme dan menimbulkan kesadaran kolektif di tengah-tengah sistem kapitalisme yang cukup kacau. (shrink)

This study aimed to evaluate if eye blinks can be used to discriminate players with different performance in a session of Nintendo Entertainment System (NES) Tetris. To that end, we developed a state-of-the-art method for blink extraction from EAR measures, which is robust enough to be used with data collected by a low-grade webcam such as the ones widely available on laptop computers. Our results show a significant decrease in blink rate per minute (blinks/m) during the first minute of playing (...) Tetris. After having defined 3 groups of proficiency based on in-game performance (Novices, Intermediates, and Experts) we found out that expert players display a significantly lower decrease in blinks/m compared to novices during the first minute of gameplay, which shows that Tetris players' proficiency can be detected by looking at eye blinks/m variations during the early phase of a game session. This difference in blinks/m is observed throughout the entire game session, which supports the general conclusion that proficient Tetris players have a lower decrease in blinks/m, even when playing more difficult levels. Finally, we offer some interpretations of this effect and the relationship that our results may have with the visual cognitive workload experienced during the gameplay. (shrink)

Llega a nosotros una obra filosófica, cuyo trabajo exploratorio a través de la naturaleza humana, nos permite observar la totalidad del ser desde una perspectiva antropológica. El libro La vida humana como trascendencia de Don Enrique R. Moros es un mapa del hombre, trazado en coordenadas metafísicas: verdad y libertad, fruto de una labor de confrontación con diferentes perspectivas filosóficas que, en la metáfora con la que nos conduce el autor, son aquellos mapas trazados por antiguos exploradores que, de alguna (...) manera, dejaron indicado el norte adecuado para continuar esa labor. (shrink)

The current article presents a short review of the first 4 volumes of the book series Ancient Worlds in Comparison as edited by Giulia Massaro (August, 2020). An attempt through multiple researchers is being made to identify the common intersection of various philosophical schools in different periods of time, from Ancient Greece, China, India to Roman Empire until the Medieval Period in Europe. The research is becoming multidimensional, recognizing the ambiguous concept of the philosophical evolution of human mind within different (...) social, cultural, and geographical contexts. (shrink)

One of the disadvantages of the point estimate in survey sampling is that it fluctuates from sample to sample due to sampling error, as the estimator only provides a point value for the parameter under discussion. The neutrosophic approach, pioneered by Florentin Smarandache, is an excellent tool for estimating the parameters under consideration in sampling theory since it yields interval estimates in which the parameter lies with a very high probability. As a result, the neutrosophic technique, which is a generalization (...) of classical approach, is used to deal with ambiguous, indeterminate, and uncertain data. In this investigation, we suggest a new general family of ratio and exponential ratio type estimators for the elevated estimation of neutrosophic population mean of the primary variable utilizing known neutrosophic auxiliary parameters. For the first degree approximation, the bias and Mean Squared Error (MSE) of the suggested estimators are computed. The neutrosophic optimum values of the characterizing constants are determined, as well as the minimum value of the neutrosophic MSE of the suggested estimator is obtained for these optimum values of the characterizing scalars. Because the minimum MSE of the classical estimators of population mean lies inside the estimated interval of the neutrosophic estimators, the neutrosophic estimators are better than the equivalent classical estimators. The empirical investigation, which used both real and simulated data sets, backs up the theoretical findings. For practical utility in various areas of applications, the estimator with the lowest MSE or highest Percentage Relative Efficiency (PRE) is recommended. (shrink)

У статті на прикладі Львівського єзуїтського колегіуму простежено тривалий процес поступового запровадження історичних студій до моделі шкільництва Товариства Ісуса. Ця модель, закріплена незмінним до ліквідації Товариства освітнім статутом 1599 р. «Ratio Studiorum», формально не передбачала викладання історії як самостійної дисципліни, однак певні знання про минуле учні отримували впродовж усього курсу навчання. У першій половині XVII ст. джерелом таких знань були тільки античні автори, чиї тексти слугували за взірець при вивченні латинської мови й риторики, а також за криницю набуття «eruditio». (...) Разом з тим, оскільки в «Ratio Studiorum» не було прямих заборон щодо використання творів нової історіографії, викладачі могли проявляти власну ініціативу, аби давати молоді ширше коло знань. Зокрема, велику роль у поширенні такої «свободи викладання» зіграли бібліографічний порадник Антоніо Поссевіно (І вид.: Рим, 1593), де вперше радилося доповнювати лекції працями «нових» авторів, а також перший підручник нової історії для єзуїтських шкіл Ораціо Торселіні (І вид.: Рим, 1598). У Львові промовистим доказом зміни ставлення до історії стали написані в 1660-х рр. перші праці професорів колегіуму Мацея Велевича та Яна Зуховича з описом актуальних подій. Тоді ж, під тиском запитів суспільства, у курсах риторики стали виопуклювати політичне ораторство — з акцентом на необхідних у тогочасному його жанрі знаннях генеалогії, геральдики, історичної географії, історії права та «національного минулого». Ці новації знайшли продовження упродовж кінця XVII — середини XVIII ст. у низці праць львівських професорів та в уживанні ними західних підручників історії (у статті те й те детально розглянуто). У такий спосіб запровадження у Львові з 1739 р. історії як окремої ділянки студій стало логічним підсумуванням перемін, що поступово нагромаджувалися. (shrink)

Reasons transmit. If one has a reason to attain an end, then one has a reason to effect means for that end: reasons are transmitted from end to means. I argue that the likelihood ratio (LR) is a compelling measure of reason transmission from ends to means. The LR measure is superior to other measures, can be used to construct a condition specifying precisely when reasons transmit, and satisfies intuitions regarding end-means reason transmission in a broad array of cases.

The present work consists of a discussion about the concept of real number in Frege. It is intended to explain how Frege tries to define the real numbers, highlighting the importance that the notion of “magnitude-ratio” plays in this definition. In Part III, in Volume II of the Grundgesetze der Arithmetik (1903) (from now on only: Grundgesetze), Frege presents his theory of real numbers, which is followed by a long criticism of the real number theories in force at that (...) time, such as by Cantor, Dedekind, Thomae and Weierstrass. In view of this, to fulfill our purpose, we will examine the text only where Frege presents his own theory of real numbers (the informal presentation) (§§156-164). Frege's criticisms of previous theories will not be examined in detail, unless an introduction to his criticism of formalism, in order to elucidate such criticism. Thus, only the part in which the philosopher presents his own conception of real numbers will be analyzed. To support the discussion, authors Peter Simons, Eric Snyder and Stewart Shapiro will be used. (shrink)

Gjirokastra’s buildings occupy a special place in the housing typology of Albanian popular dwellings in the feudal period. The “popular tower" is linked with its defensive character, therefore in many cases, it takes the name of a castle or defensive tower. This paper takes into consideration a typical example of the historical fortified dwelling in a well-known city of Albania, Gjirokastra. The methodology used in order to improve the way of thinking, the way of implementing, and the way of designing (...) future dwellings is very related to the historical attitude of the dwelling. Based on the historical documentation, of the fortified dwelling a real analysis is performed according to the logic of modulations. The purpose of this paper is to create a methodology for future generations of architects in order to better engage in the design process, respecting the valuable architectural history. The modern dwellings of Gjirokastra historical-urban context must adopt the historical architectural elements, the historical manners of construction, the typical construction materials, the operational mode, and people’s lifestyle, in order to preserve the city's historical values via a modern touch. KEYWORDS: Architectural elements, historical preservation values, geometric ratios, modular. (shrink)

This paper examines the thought of Pope Francis on the nature of the university and its mission as expressed in Veritatis gaudium and proposes a reading of Fides et ratio and Lumen fidei in its light. The starting point is the situation of the university in the liquid modernity as described by Bauman, whose reflections partly inspire Francis’ sociological analyses. According to the Pope, the university must contribute to the rooting of persons by building a true community of study (...) and research. This requires a science free from the temptation of sophistry (a form of domination) and inspired by concern for the other: friendship is thus the context in which the rationality proper to a new humanism can develop. (shrink)

Research into ancient physical structures, some having been known as the seven wonders of the ancient world, inspired new developments in the early history of mathematics. At the other end of this spectrum of inquiry the research is concerned with the minimum of observations from physical data as exemplified by Eddington's Principle. Current discussions of the interplay between physics and mathematics revive some of this early history of mathematics and offer insight into the fine-structure constant. Arthur Eddington's work leads to (...) a new calculation of the inverse fine-structure constant giving the same approximate value as ancient geometry combined with the golden ratio structure of the hydrogen atom. The hyperbolic function suggested by Alfred Landé leads to another result, involving the Laplace limit of Kepler's equation, with the same approximate value and related to the aforementioned results. The accuracy of these results are consistent with the standard reference. Relationships between the four fundamental coupling constants are also found. (shrink)

An axiom of medical research ethics is that a protocol is moral only if it has a “favorable risk-benefit ratio”. This axiom is usually interpreted in the following way: a medical research protocol is moral only if it has a positive expected value -- that is, if it is likely to do more good (to both subjects and society) than harm. I argue that, thus interpreted, the axiom has two problems. First, it is unusable, because it requires us to (...) know more about the potential outcomes of research than we ever could. Second, it is false, because it conflicts with the so-called “soft paternalist” principles of liberal democracy. In place of this flawed rule I propose a new way of making risk-benefit assessments, one that does comport with the principles of liberalism. I argue that a protocol is moral only if it would be entered into by competent subjects who are informed about the protocol. The new rule this eschews all pseudo-utilitarian calculation about the protocol’s likely harms and benefits. (shrink)

Although symmetry has been discussed in terms of a major law of perceptual organization since the early conceptual efforts of the Gestalt school (Wertheimer, Metzger, Koffka and others), the first quantitative measurements testing for effects of symmetry on processes of Gestalt formation have seen the day only recently. In this study, a psychophysical rating study and a “foreground”-“background” choice response time experiment were run with human observers to test for effects of bilateral symmetry on the perceived strength of figure-ground in (...) triangular Kanizsa configurations. Displays with and without bilateral symmetry, identical physically-specified-to-total contour ratio, and constant local contrast intensity within and across conditions, but variable local contrast polarity and variable orientation in the plane, were presented in a random order to human observers. Configurations with bilateral symmetry produced significantly stronger figure-ground percepts reflected by greater subjective magnitudes and consistently higher percentages of “foreground” judgments accompanied by significantly shorter response times. These effects of symmetry depend neither on the orientation of the axis of symmetry, nor on the contrast polarity of the physical inducers. It is concluded that bilateral symmetry, irrespective of orientation, significantly contributes to the, largely sign-invariant, visual mechanisms of figure-ground segregation that determine the salience of figure-ground in perceptually ambiguous configurations. (shrink)

This paper tries to develop an epistemological analysis on the notion of responsibility. After pointing out a peculiar kind of uncertainties concerning the notion of responsibility, I focus upon the issue of criminal responsibility, taking the case of mentally disordered offenders into account, and propose the distinction of the phases between sentence and practice with applying Slobogin's idea of integrationism. Finally, I propose a probabilistic approach to the problem of responsibility through considering the idea of relevance ratio, leading to (...) my final proposal concerning the concept of the degrees of responsibility. (shrink)

The fine-structure constant, which determines the strength of the electromagnetic interaction, is briefly reviewed beginning with its introduction by Arnold Sommerfeld and also includes the interest of Wolfgang Pauli, Paul Dirac, Richard Feynman and others. Sommerfeld was very much a Pythagorean and sometimes compared to Johannes Kepler. The archetypal Pythagorean triangle has long been known as a hiding place for the golden ratio. More recently, the quartic polynomial has also been found as a hiding place for the golden (...) class='Hi'>ratio. The Kepler triangle, with its golden ratio proportions, is also a Pythagorean triangle. Combining classical harmonic proportions derived from Kepler’s triangle with quartic equations determine an approximate value for the fine-structure constant that is the same as that found in our previous work with the golden ratio geometry of the hydrogen atom. These results make further progress toward an understanding of the golden ratio as the basis for the fine-structure constant. (shrink)

The first case of comprehensive Jesuit philosophical textbook, the Cursus Conimbricensis stands as a hallmark of the Jesuit way of teaching philosophy during the second half of the Sixteenth century. After having placed the Cursus conimbricensis in the European philosophical scenario, this paper aims to show how Manuel de Gois, as well as the other contributors, felt to be bound to Aristotle, the major authority according to the Ratio studiorum, in dealing with questions and issues.

Ratio, Volume 34, Issue 4, Page 303-311, December 2021.

The main purpose of this article is to show how the language is conceived in the encyclical Fides et ratio, especially taking into account its relationship with truth. It is also attempted to present an analitical study of the text concerning language: the different references to it and the consideration of the modern sciences of language; how truth is linked to language and signification, and how human language though linguistic communication can surely renew and enhance the rational expressin of (...) Christian faith. (shrink)

Lays out the problem of sentience in a physical world and the solution based on the event ontology of Russell and Whitehead. The second edition includes the construction of physics from arrow diagrams, stemming from the discovery that the arrows of time form frequency ratios, which serve to define energy ratios and the quantum.

Morphological and morphometric study of umbilical cord of 50 newborn babies were carried out during January to December 1998 at Bangabandhu Sheikh Mujib Medical University, Dhaka to expand the knowledge of gross anatomy of the umbilical cord of Bangladesh. The length of the cords irrespective of sex was ranged from 28 to 93 cm with a mean (±SD) of 55.6 (±10.78).The length of the umbilical cord of male was significantly longer than female (P<0.001). The diameter of the cord irrespective of (...) sex varied from 1 to 1.9 cm with a mean (±SD) of 1.45 +0.31 cm. The mean circumference length percentage ratio index of umbilical cord was 8.31. Thirty-three (66%) cords were inserted eccentrically, all being paracentral in position. The rest were inserted centrally. False knots were more frequent (47; 94%). Only one (2%) showed a true knot in addition of false knot. In 2(4%) cases cord had not any true or false knot. It is concluded that the gross morphological and morphometrical features of the umbilical cord in Bangladesh appear to be similar to those described in western literature. -/- . (shrink)

out during January to December 1998 at Bangabandhu Sheikh Mujib Medical University, Dhaka to expand the knowledge of gross anatomy of the umbilical cord of Bangladesh. The length of the cords were irrespective of sex ranged from 28 to 93 cm with a mean (±SD) of 55.6 (±10.78). The length of the umbilical cords of males were significantly longer than female (P<0.001). The diameter of the cords irrespective of sex were varied from 1 to 1.9 cm with a mean (±SD) (...) of 1.45±0.31 cm. The mean circumference length percentage ratio index of umbilical cord was 8.31. Thirty-three (66%) cords were inserted eccentrically, all being paracentral in position. The rest were inserted centrally. False knots were more frequent (47; 94%). Only one (2%) showed a true knot in addition of false knot. In 2(4%) cases cord had not any true or false knot. It is concluded that the gross morphological and morphometrical features of the umbilical cord in Bangladesh appear to be similar to those described in western literature. (shrink)

Ratio Juris, Volume 34, Issue 4, Page 331-355, December 2021.