Light increment thresholds were measured on either side of one of the illusory contours of a white-on-black Kanizsa square and on the illusory contour itself. The data show that thresholds are elevated when measured on either side of the illusory border. These elevations diminish with increasing distance of the target spot from the white elements which induce the illusory figure. The most striking result, however, is that threshold elevations are considerably lower or even absent when the target is (...) located on the illusory contour itself. At an equivalent position in a control figure where no illusory contour is visible, such a threshold decrease does not occur. The present observations add empirical support to neural theories of illusory form perception. (shrink)

The perceived strength of darkness enhancement in the centre of surfaces surrounded or not surrounded by illusory contours was investigated as a function of proximity of the constituent elements of the display and their angular size. Magnitude estimation was used to measure the perception of the darkness phenomenon in white-on-grey stimuli. Darkness enhancement was perceived in both types of the stimuli used, but more strongly in the presence of illusory contours. In both cases, perceived darkness enhancement increased with increasing proximity (...) of the constituent parts of the display and with their angular size. These results suggest that the occurrence of darkness (or brightness) enhancement phenomena in the centre of the displays is not directly related to illusory contours, which only reinforce the subjective surface brightness/darkness. (shrink)

In psychophysical experiments, the use of a psychophysical procedure of brightness/darkness cancellation shed light on interactions between spatial arrangement and figure–ground contrast in the perceptual filling in of achromatic and colored surfaces.Achromatic and chromatic Kanizsa squares with varying contrast, contrast polarity, and inducer spacingwere used to test how these factors interact in the perceptual filling in of surface brightness or darkness. The results suggest that the neuronal processing of surfaces with apparent contrast, leading to figure–ground segregation (i.e., perceptual organization), (...) is governed by mechanisms that integrate both luminance contrast and spatial information carried by the inducing stimuli, while discarding information on contrast polarity or color. The findings are discussed in relation to earlier observations on brightness assimilation and contrast. They support theories of nonantagonistic neural mechanisms suppressing local contrast or color signs in brightnessbased figure–ground percepts. Such mechanismsmight be necessary to cancel potentially conflicting polarities in geometricallycomplex visual stimuli so that perceptual filling in resulting in the most plausible representation of figure and ground can be achieved. (shrink)

squares are fundamental features of cities, so nowing more about them as social arenas which is enabling contact between different groups is necessary. In fact, they represent sites of sociability, face to face interaction and at the same time their quality is commonly perceived to be a measurement for social quality of urban life. The concern of this research is how to ensure that public open places use their potential for enhancing social sustainability.

In this paper, we propose the introduction of a neutrosophic chi-square-test for consistency, incorporating neutrosophic statistics. Our aim is to modify the existing chi-square -test for consistency in order to analyze imprecise data. We present a novel test statistic for the neutrosophic chi-square -test for consistency, which accounts for the uncertainties inherent in the data. To evaluate the performance of the proposed test, we compare it with the traditional chi-square -test for consistency based on classical statistics. (...) By conducting a comparative analysis, we assess the efficiency and effectiveness of our proposed neutrosophic chi-square-test for consistency. Furthermore, we illustrate the application of the proposed test through a numerical example, demonstrating how it can be utilized in practical scenarios. Through this implementation, we aim to provide empirical evidence of the improved performance of our proposed test when compared to the traditional chi-square-test for consistency based on classical statistics. We anticipate that the proposed neutrosophic chi-square-test for consistency will outperform its classical counterpart, offering enhanced accuracy and reliability when dealing with imprecise data. This advancement has the potential to contribute significantly to the field of statistical analysis, particularly in situations where data uncertainty and imprecision are prevalent. (shrink)

Urban design and architecture are used as manifestations of power and control over a society. The city square is not just an architectural element; its structure has a nature that weaves together its contemporary social and political atmosphere and brings a new meaning and concept to the square. This paper aims to clarify the formation of Toopkhaneh Square (“The Place of Cannons,” or “Artillery Barracks” Square) whose military function and ominous name were physical evidence of the (...) use of urban design by the ruling authority to control the citizenry. The transformation of Toopkhaneh Square is an example of power relations and the struggle for power, which have been projected on the body of the city. This research concentrates on power relations and urban transformations in the spatial analysis of Toopkhaneh Square throughout different periods of its history. The transitional process of Toopkhane Square to an Artillery Square in the Qajar Era dynasty of Naser al-Din Shah (1888) until the Islamic Revolution (1978) shows that the structural elements of the traditional square were modified, as its name, political statues, meaning, and functions were changed to fulfill the modern needs and reflect the power struggle. This study analyzes Toopkhaneh Square as the representation of the ruling power and its politico-religious ideology in Iranian urban form. (shrink)

. Each predicate of the Aristotelian square of opposition includes the word “is”. Through a twofold interpretation of this word the square includes both classical logic and non-classical logic. All theses embodied by the square of opposition are preserved by the new interpretation, except for contradictories, which are substituted by incommensurabilities. Indeed, the new interpretation of the square of opposition concerns the relationships among entire theories, each represented by means of a characteristic predicate. A generalization of (...) the square of opposition is achieved by not adjoining, according to two Leibniz’ suggestions about human mind, one more choice about the kind of infinity; i.e., a choice which was unknown by Greek’s culture, but which played a decisive role for the birth and then the development of modern science. This essential innovation of modern scientific culture explains why in modern times the Aristotelian square of opposition was disregarded. (shrink)

In this paper I propose a set-theoretical interpretation of the logical square of opposition, in the perspective opened by generalized quantifier theory. Generalized quantifiers allow us to account for the semantics of quantificational Noun Phrases, and of other natural language expressions, in a coherent and uniform way. I suggest that in the analysis of the meaning of Noun Phrases and Determiners the square of opposition may help representing some semantic features responsible to different logical properties of these expressions. (...) I will conclude with some consideration on scope interactions between quantifiers. (shrink)

Review of “The Mad Square: Modernity in German Art 1910-37”, National Gallery of Victoria, Melbourne, Australia, November 25, 2011-March 4, 2012. A version of this essay appeared in the Appendices of Gavin Keeney, Not-I/Thou: The Other Subject of Art and Architecture (CSP, 2014), pp. 153-57.

The aim of this paper is to elucidate the relationship between Aristotelian conceptual oppositions, commutative diagrams of relational structures, and Galois connections.This is done by investigating in detail some examples of Aristotelian conceptual oppositions arising from topological spaces and similarity structures. The main technical device for this endeavor is the notion of Galois connections of order structures.

This paper aims to analyze the square beyond an architectural element in the city, but weaves this blank slate, with its contemporary socio political atmosphere as a new paradigm. As a result, this research investigates the historical, social and political concept of Meydan – a term which has mostly applied for the Iranian and Islamic public squares. This interpretation, suggested the idea of Meydan as the core of the projects in the city, which historically exposed in formalization of power (...) relations and religious ideologies. In this sense, studying the spatial transformation of Iranian public squares introduces the framework, which is adaptable to contemporary urban context. (shrink)

Epicurean ethics has been subject to withering ancient and contemporary criticism for the supposed irreconcilability of Epicurus’s emphatic endorsement of friendship and his equally clear and striking ethical egoism. Recently, Matthew Evans (2004) has suggested that the key to a plausible Epicurean response to these criticisms must begin by understanding why friendship is valuable for Epicurus. In the first section of this paper I develop Evans’ suggestion further. I argue that a shared conception of the human telos and of what (...) is required to attain it structures the confidence that characterizes friendship. In the second part of the paper I return to two contemporary criticisms of Epicurean friendship. The first criticism focuses on the problem of free riders. The second criticism points to a seeming inconsistency in Epicurean doctrine. I suggest that both criticisms can be adequately addressed once we understand Epicurean friendship in greater depth. (shrink)

It has been recently argued that the well-known square of opposition is a gathering that can be reduced to a one-dimensional figure, an ordered line segment of positive and negative integers [3]. However, one-dimensionality leads to some difficulties once the structure of opposed terms extends to more complex sets. An alternative algebraic semantics is proposed to solve the problem of dimensionality in a systematic way, namely: partition (or bitstring) semantics. Finally, an alternative geometry yields a new and unique pattern (...) of oppositions that proceeds with colored diagrams and an increasing set of bitstrings. (shrink)

We re-examine the problem of existential import by using classical predicate logic. Our problem is: How to distribute the existential import among the quantified propositions in order for all the relations of the logical square to be valid? After defining existential import and scrutinizing the available solutions, we distinguish between three possible cases: explicit import, implicit non-import, explicit negative import and formalize the propositions accordingly. Then, we examine the 16 combinations between the 8 propositions having the first two kinds (...) of import, the third one being trivial and rule out the squares where at least one relation does not hold. This leads to the following results: (1) three squares are valid when the domain is non-empty; (2) one of them is valid even in the empty domain: the square can thus be saved in arbitrary domains and (3) the aforementioned eight propositions give rise to a cube, which contains two more (non-classical) valid squares and several hexagons. A classical solution to the problem of existential import is thus possible, without resorting to deviant systems and merely relying upon the symbolism of First-order Logic (FOL). Aristotle’s system appears then as a fragment of a broader system which can be developed by using FOL. (shrink)

In Squaring the Circle in Descartes’ Meditations, Stephen Wagner aims to show that Descartes’ project in the Meditations is best understood as a ‘strong validation of reason’ i.e., as proving in a non-circular way that human reason is a reliable, truth-conducive faculty. For such an enterprise to qualify as a ‘strong’ validation, Wagner contends, skeptical doubt must be given its strongest force. The most stringent doubt available in the Meditations is the deceiving God. To rule out the possibility that an (...) omnipotent God created humans so that their best functioning cognitive faculties provide misleading information about what the world is like, Descartes must prove that a non-deceiving God exists. Furthermore, only a non-circular proof will count as a ‘validation.’ Wagner spells out the requirements of non-circularity as involving a proof for God’s existence that is not deductive, does not simply achieve a clear and distinct perception of God’s existence, and proceeds on the basis of perceptions that remain true even when the reasons underlying them are not attended to any longer by the meditator. (shrink)

The heart of Aristotelian Logic is the square of opposition. This study engaged on further [re]investigation and meta-logical analysis of the validity of the square of opposition. Further, in this paper, it has been modestly established, with greater clarity, the exposition of the strengths, more than the presentation of the defects, loopholes and weaknesses, of the Aristotelian Logic in a descriptive and speculative manner. The unconcealment of the breakdown of the square of opposition marked a rupture and (...) the opening of avenues of alternative reasoning. The critical and analytical exposition of the loopholes of the square of opposition led to a realization that things around us could have been and still be different; and there could have been better alternative reasoning than what we have called, adopted, and worshipped [Greek] logic. Results show that the downfall of the oppositional relationships in the square of opposition provided a proof of the logical illusion of Aristotle or the loophole of Traditional Logic. The laws of opposition, that have been considered the measures of logically deductive inferences, are practically almost totally logical deceptions. By implication, if the laws of subcontrariety, contrariety, and subalternation [and may be contradiction] have collapsed, the square of opposition has also collapsed; hence, Aristotle‟s square of opposition is a fallacy. This means that the square of opposition has errors and in itself an error. (shrink)

According to Greimas, the semiotic square is far more than a heuristic for semantic and literary analysis. It represents the generative “deep structure” of human culture and cognition which “define the fundamental mode of existence of an individual or of a society, and subsequently the conditions of existence of semiotic objects” (Greimas & Rastier 1968: 48). The potential truth of this hypothesis, much less the conditions and implications of taking it seriously (as a truth claim), have received little attention (...) in the literature. In response, this paper traces the history and development of the logical square of opposition from Aristotle to Greimas and beyond, to propose that the relations modelled in these diagrams are embodied relations rooted in gestalt memories of kinesthesia and proprioception from which we derive basic structural awareness of opposition and contrast such as verticality, bilaterality, transversality, markedness and analogy. To make this argument, the paper draws on findings in the phenomenology of movement (Sheets-Johnstone 2011a, 2011b, 2012, Pelkey 2014), recent developments in the analysis of logical opposition (Beziau & Payette 2008), recent scholarship in (post)Greimasian semiotics (Corso 2014, Broden 2000) and prescient insights from Greimas himself (esp. 1968, 1984). The argument of the paper is further supported through a visual and textual content analysis of a popular music video, both to highlight relationships between the semiotic square and mundane cultural ideologies and to show how these relationships might be traced to the marked symmetries of bodily movement. In addition to illustrating the enduring relevance of Greimasean thought, the paper further illustrates the neglected relevance that embodied chiasmus holds for developments in anthropology, linguistics and the other cognitive sciences. (shrink)

Public Square is one of the main pillars in social life that has effects on the social quality of the urban public space, and improving the level of social interactions of the citizens. Considering the effect of public space in quality of social life, in many modern cities, the public squares that have recently designed and constructed aren’t responsive for social needs, improvement of communications and the social relations of citizens. This matter appears because of poor conditions of cities (...) during modernization and lack of attention to cultural, sociological and psychological needs, therefore analysing the contributing factors on urban quality of successful historical public squares for improving citizens’ quality of life can introduce a guideline for designers and planners to solve contemporary urban problems. In this research, that has been developed based on descriptive procedure, the characteristics of Naghshe-Jahan Square as an active and vibrant historical public square has been examined to realize the effective factors on improving the quality of citizens’ urban life. The results of research indicate that quality of citizen's urban life indicators in historical public square included visual aesthetic (Spatial continuity and hierarchy, emphasis on the axis of symmetry, balance and visual contrast, Sense of closure and introspection,. (shrink)

Development has been themain strategy in addressing the problemof sustainability since at least the mid-1980s. The results of this strategy have been mixed, if not disappointing. In their objections to this approach, critics frequently invoke constraints imposed by physical reality of which the most important one is entropy production. They question the belief that technological innovations are capable of solving the problem of sustainability. Is development the right response to this problem and is the current course capable of attaining sustainability? (...) The article examines closely and critiques the principal theoretical objection to sustainable development that emphasizes physical constraints, and more specifically entropy production. It also offers a critique of the current approach to sustainable development. The article advocates a systems approach as a way to anchor a broad consensus in the ongoing sustainability debates. (shrink)

In a previous issue of Philosophia Christi, Kirk MacGregor responded to an essay of mine in which I argued for a neo-Molinist account of open theism. The argument demonstrated how, given standard counterfactual semantics, one could derive an “open future square of opposition,” that is, a depiction of the logical relations that hold between future-tense statements from an open theistic standpoint. Conceding the validity of the argument, MacGregor nevertheless sought to deny its soundness by criticizing both its conclusion and (...) the Stalnaker-Lewis semantics on which the argument was based. In this paper, I argue that MacGregor’s reasons for rejecting the open future square, as well as his Molinist alternative to the Stalnaker-Lewis semantics, are uncompelling. (shrink)

An imaginary report of Square’s plans for a journey aimed to find out whether the topology of Flatland is sphere-like or torus-like, intended as a trubute to Hans Herzberger’s uncompromising philosophical style, courage, and passion.

In this paper, I will focus on the nature of the modernity from the perspective of a «logical» square. On the basis of its vectorial orientation, I will show the value of Guy Debord’s work, according to which, undeniably, there is a need to articulate two core issues of our time: «How does a multitude turn into a class?» (Benjamin’s question) and «How does the individual become a subject?» (Althusser’s question). It is precisely the nexus between these questions that (...) allows us to draw the line between the modernity and the postmodernity. (shrink)

The fear of the other is the main focus of this paper, which analyse Tehran protest squares as inside-out spaces where the state attempts to maintain some form of control, and where the public attempts to occupy it. The fear of ‘others’ can lead to exclusion from the public space of those who are seen as threatening. This process of ‘otherness’ renders fear as an arena of conflict and highlights the political utility of fear by particular groups and individuals.

In 1682, Leibniz published an essay containing his solution to the classic problem of squaring the circle: the alternating converg-ing series that now bears his name. Yet his attempts to disseminate his quadrature results began seven years earlier and included four distinct approaches: the conventional (journal article), the grand (treatise), the impostrous (pseudepigraphia), and the extravagant (medals). This paper examines Leibniz’s various attempts to disseminate his series formula. By examining oft-ignored writings, as well as unpublished manuscripts, this paper answers the (...) question of how one of the greatest mathematicians sought to introduce his first great geometrical discovery to the world. (shrink)

In this work we consider the problem of the approximate hedging of a contingent claim in the minimum mean square deviation criterion. A theorem on martingale representation in case of discrete time and an application of the result for semi-continuous market model are also given.

I defend the continuing importance, and attraction of, moral saints. The objective of this paper is twofold; firstly, to critique Wolf’s definition of sainthood, and secondly, to argue against her view that one should not desire to be a moral saint, nor emulate them. In section 1, I argue that moral saints are highly complex moral agents, and that Wolf’s definition does not capture this complexity. My second argument is that Wolf’s account that there are two kinds of saints, loving (...) and rational, leads to a tension. Either: (1) the distinction between loving and rational saints is justifiable; but then argu- ments against the benefits of sainthood ought to be directed independently against each kind of saint which, Wolf does not do; or (2) the distinction is not justifiable, in which case the division is explanatorily impotent. In section 2, I will present Wolf’s argument for why one should not want to be a moral saint, nor even know one. I counter that Wolf over-emphasises non-moral values, to the point that these values have a monopoly on what constitutes a well-rounded life. Wolf must provide a more definitive scope for non-moral values, as the distinction between moral and non-moral values is ambiguous. Finally, I argue that moral saints can serve as moral exemplars and visionaries. By admir- ing and emulating them, we can adapt our own moral behavior, and by example, moral saints can discover new and better ways of pursuing moral goods. (shrink)

The aim of the paper is to analyze the expressive power of the square operator of Łukasiewicz logic: ∗x=x⊙x⁠, where ⊙ is the strong Łukasiewicz conjunction. In particular, we aim at understanding and characterizing those cases in which the square operator is enough to construct a finite MV-chain from a finite totally ordered set endowed with an involutive negation. The first of our main results shows that, indeed, the whole structure of MV-chain can be reconstructed from the involution (...) and the Łukasiewicz square operator if and only if the obtained structure has only trivial subalgebras and, equivalently, if and only if the cardinality of the starting chain is of the form n+1 where n belongs to a class of prime numbers that we fully characterize. Secondly, we axiomatize the algebraizable matrix logic whose semantics is given by the variety generated by a finite totally ordered set endowed with an involutive negation and Łukasiewicz square operator. Finally, we propose an alternative way to account for Łukasiewicz square operator on involutive Gödel chains. In this setting, we show that such an operator can be captured by a rather intuitive set of equations. (shrink)

In this article, we shall define the addition and multiplication of two neutrosophic fuzzy matrices. Thereafter, some properties of addition and multiplication of these matrices are also put forward.

In this work, we consider the problem of the approximate hedging of a contingent claim in the minimum mean square deviation criterion. A theorem on martingaỉe representation in the case of discrete time and an application of obtained result for semi-continous market model are given.

This paper deals with Austinian ifs of every stripe within classical logic. It is argued that they are truth-functional and the theory of conditional elements is used. Ellipsis is key. Corrects an error in Fulda (2010) in translation and therefore scope. -/- The PDF is made available gratis by the Publisher.

This paper is, in part, a report on the conclusions reached at a retreat on Part One of Kant's Conflict of the Faculties, held at the Center for Insight into Philosophic Health, Education, and Renewal, in Mendocino, California. It argues that Kant's distinction between the public and private spheres does not remove but intensifies the philosopher's duty to influence the general public. I conclude with some reflections on how a Kantian philosopher might have a positive influence on religious communities. Includes (...) an appendix coauthored by Richard W. Mapplebeckpalmer. (shrink)

What follows is going to be an exercise in elemental metaphysical observation and reflection. No special mystical, devotional or intellectual powers will be required: merely the ability to think slowly and carefully and clearly. -/- This short series is for anyone who wants to explore some simple lines of thought based in objective and sceptical self-observation at the most elemental level possible. Some paragraphs might occasionally be written in formal philosophical language, but if so these will always be followed by (...) explanations in the plainest of everyday terms such that anyone with an interest in the subject will be able to understand them. (shrink)

Economic diversification has been the glamour of successive administrations in Nigeria, especially amidst the dwindling oil-revenue in recent years, which has resulted from the fluctuations in world crude oil prices. This study aims at investigating the impact of diversifying the economy on the economic growth in Nigeria. Secondary data on GDP growth rate as a proxy for economic growth, non-oil GDP as a proxy for GDP diversification, non-oil export as a proxy for export diversification, investment and exchange rate, between 1981 (...) and 2016, were adopted in the study. An econometric approach of Ordinary Least Squares (OLS) was adopted to empirically analyze the collected data and the result revealed that non-oil gross domestic product impacted positively and significantly on economic growth while exchange rate had an inverse but significant nexus on economic growth in Nigeria, within the period covered in the study. However, non-oil export and investment impacted positively but insignificantly on economic growth in Nigeria. The study recommends the encouragement of increased productivity in the real sector as well as the adoption of stable and favourable exchange rate policies by the government in order to accelerate economic growth in Nigeria. (shrink)

The objective of this paper is to study algebraic properties of neutrosophic matrices, where a necessary and sufficient condition for the invertibility of a square neutrosophic matrix is presented by defining the neutrosophic determinant. On the other hand, this work introduces the concept of neutrosophic Eigen values and vectors with an easy algorithm to compute them. Also, this article finds a necessary and sufficient condition for the diagonalization of a neutrosophic matrix.

According to Aristotle if a universal proposition (for example: “All men are white”) is true, its contrary proposition (“All men are not white”) must be false; and, according to Aristotle, if a universal proposition (for example: “All men are white”) is true, its contradictory proposition (“Not all men are white”) must be false. I agree with what Aristotle wrote about universal propositions, but there are universal propositions which have no contrary proposition and have no contradictory proposition. The proposition X “All (...) the propositions that contradict this proposition are true” does not have the contrary proposition and does not have the contradictory proposition. In fact: FEX “All the propositions that contradict this proposition are not true” has a different subject: the subject of the proposition X is constituted by all the propositions that contradict the proposition X; by contrast, the subject of the proposition FEX is constituted by all the propositions that contradict the proposition FEX. And FOX “Not all the propositions that contradict this proposition are true” has a different subject: the subject of the proposition X is constituted by the propositions that contradict the proposition X; by contrast, the subject of the proposition FOX is constituted by the propositions that contradict the proposition FOX. According to Aristotle, a singular proposition (in his example: "Socrates is white") which is true must have its negative proposition ("Socrates is not white") which is false. I agree with Aristotle, but there are singular propositions which do not have the corresponding negative proposition. The proposition (or, rather, the pseudo-proposition) L “This same statement is not true” does not have the negative proposition because the proposition FNL “This same statement is true” has a different subject from the subject of the proposition L: the subject of the proposition L is the proposition L; by contrast, the subject of the proposition FNL is the proposition FNL. L and FNL cannot have the same subject. By contrast, the proposition M “This mount is entirely in Swiss territory” and the proposition NM “This mount is not entirely in Swiss territory” can have the same subject (for example, the Mount Eiger): in case the subject of the proposition M and the subject of the proposition NM is the same, M and NM are opposite propositions, NM is the negative proposition of M. By contrast, the proposition (or, rather, the pseudo-proposition) L "This same statement is not true" cannot have the corresponding negative proposition because FNL "This same statement is true" has a different subject: the subject of L is L ; by contrast, the subject of FNL is FNL. Then the paper continues by analyzing some variants of the liar’s paradox: L1 “The statement L1 is not true”; the so-called liar cycle; and the so-called Yablo’s paradox. (shrink)

Oftentimes we consider how the law and public policy were interwoven one another for any fine appeal to the constituents and global public. Nonetheless, we are fairly never definite to suggest any hard picture of their relationship. It rather involves an issue of meditative process of philosophy, humanity and social justice as well as a wider of public contention from the purview of temporal and spatial evolution. The paper, in the face with this difficult conundrum, attempts to highlight some of (...) basics despite a surfeit of work products in this field. The paper begins with the instant queries or explanation from the peer scholar practitioners, which would be some of communication with the author. Then the author elicits some of principled relationship between the two concepts. (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)

We show that we in ways related to the classical Square of Opposition may define a Cube of Opposition for some useful statements, and we as a by-product isolate a distinct directive of being inviolable which deserves attention; a second central purpose is to show that we may extend our construction to isolate hypercubes of opposition of any finite cardinality when given enough independent modalities. The cube of opposition for obligations was first introduced publically in a lecture for the (...) Square of Opposition Conference in the Vatican in May 2014. -/- A COLORFUL ERRATUM: The article Cubes and Hypercubes of Opposition, with Ethical Ruminations on Inviolability, suffered a couple of mishaps when it was published in Logica Universalis, ISSN 1661-8297, 10(2-3), p. 373–376. The worst of them was that the colorful cube was printed in shades of grey, instead of decorating the sides with two transparent sides, and then a red, a yellow, a blue and a green side. The text of the article is not quite understandable because of this mishap, so I avail a colorfully updated version of the original article here. -/- . (shrink)

This article contemplates symbols and values inscribed on Cairo’s landscape during the 2011 revolution and the period since, focusing on Tahrir Square and the role of the Egyptian flag in street discourses there. I start by briefly pondering how intertwined popular narratives readied the square and flag as emblems of dissent. Next I examine how these appropriations shaped protests in the square, and how military authorities who retook control in 2013 re-coopted the square and flag, with (...) the reabsorption of each critical to that of the other and executed in the same place: Tahrir. Pro-military factions have created the pretense that they were for the revolution by altering the square and structures around it. Furthermore, the square has remained open to the public, but ceased to be inviting. This relates to post-revolutionary alterations that psychologically repel entry. I consider these changes in light of affordance theory, value sensitive design research and especially the defensible space model, arguing that Tahrir Square has been symbolically cordoned and closed. (shrink)

This article investigates the specific cultural and collaborative nature of China’s public spaces and how they are formed through performative appropriations. Collective cultural practices as political participation were encouraged during the Mao era when cultural activities played a key role in workers’ education and participation. Since the opening-up period, performance in public space has become widespread in China and creates alternative community spaces that constitute alternatives to capitalist spaces of consumption. Using Habermas’s theory of communicative action, we argue that cultural (...) practices performed in public space create a proletariat public sphere that plays a wider role in governance and China’s democratization. Further, the article examines performative practices in public space. It traces the popular activity of public square dancing through history and counters this research with a parallel study of a much younger skateboarding practice. The two practices are very differently rooted. Yet both practices appear to move through cycles of disruption and appropriation, followed by an affirmation of governmental rule. The studies reveal that western ideas of citizenship and individual leisure are less applicable. Public spaces are largely managed through collaborative practices, whereas contemporary scholarship reaffirms Fei Xiaotong’s description of Chinese society as individuals positioned within a complex network of concentric circles. (shrink)

The number of bricks in a ziggurat is a sum of consecutive squares.

The COVID-19 pandemic health protocols have adversely impacted the economic profit and business operations of micro, small, and medium enterprises (MSMEs). This study aimed to evaluate the business strategies employed by MSMEs as they are facing the public health crisis in Bato, Leyte, Philippines. A random sample of 200 MSMEs were surveyed using a structured questionnaire. Some descriptive statistics and Chi-square test for independence were used to summarize and determine the relationship among variables, respectively. Results showed that dominantly more (...) of the MSMEs are operated by owner-managers during the pandemic. On average, most (97.5%) of the enterprise operating are micro and operates for about 3 years. About 63.5% of the MSMEs during the pandemic has adopted a new strategies to cope with COVID-19’s negative impact and most of them are micro in nature. The major business strategies adopted to survive the adverse impact of the pandemic are as follows: following health protocols (50%), finding suppliers in nearby towns (33.8%), seeking alternative sources (26%), increasing prices of items sold (24.5%), and local outsourcing (22.5%), among others. It is concluded that age is a significant factor in implementing business strategies (p-value<0.019). This implies that owner-managers with higher age (average is 40 years old) are more likely to adopt business strategies. Moreover, as they are experiencing vulnerability to the pandemic such as economic profits being significantly reduced, then they are more likely to implement strategies (p-value<0.001). Short and long term plans are considered in order to survive and sustain its business operations. Hence, the study recommends that the government should help and enhance the capability of enterprises in managing risk as well as ensuring MSME’s continuity amidst the pandemic. (shrink)

In the paper, certain rational postulates for protocols describing real communicating are introduced.These rational postulates, on the one hand, allow assigning a certain typology of real systems of interactions, which is consistent with the reality of epistemic argumentation in systems of communicating, and on the other one – defining rules of using argumentation in real situations. Moreover, the presented postulates for protocols characterize information networks and administering knowledge in real interactivity systems. Due to the epistemic character of the considerations, the (...) problem undertaken in the paper concerns working out fundamental assumptions that refer to building of epistemic logics. They allow establishing the correctness of the discourse defined by rational postulates of protocols of real communication. In the context of the presented problem there are the following two research questions distinguished: 1) How do we determine the rule of building of real dynamic epistemic logics? and 2) How should we define semantics for these logics? Within the framework of considerations relating to the research questions asked, certain epistemic operators, relativized to types of communicating, are introduced. Basic logical relations between using these operators are established for these operators. The relations are presented by a diagram called the square of epis temic operators. On the basis of these logical relations some axioms for real dynamic epistemic logics are presented. The semantics of real dynamic epistem ic logics is extended by the methods of lower and upper approximation of formula evaluating. This allows defining ‘approximation Kripke models’. The results of conceptualization of knowledge on real premises of epistemic argum entation presented in this paper can be applied to rhetoric in real systems of interaction. (shrink)

Given quasi-realism, the claim is that any attempt to naturalise modal epistemology would leave out absolute necessity. The reason, according to Simon Blackburn, is that we cannot offer an empirical psychological explanation for why we take any truth to be absolutely necessary, lest we lose any right to regard it as absolutely necessary. In this paper, I argue that not only can we offer such an explanation, but also that the explanation won’t come with a forfeiture of the involved necessity. (...) Using ‘squaring the circle’ as evidence, I show that, contrary to quasi-realism, absolute necessity won’t be left out in attempts to naturalise modal epistemology. (shrink)

This paper presents a Least Square Monte Carlo approach for accurately calculating credit value adjustment (CVA). In contrast to previous studies, the model relies on the probability distribution of a default time/jump rather than the default time itself, as the default time is usually inaccessible. As such, the model can achieve a high order of accuracy with a relatively easy implementation. We find that the valuation of a defaultable derivative is normally determined via backward induction when their payoffs could (...) be positive or negative. Moreover, the model can naturally capture wrong or right way risk. (shrink)

While first-person methods are essential for a science of consciousness, it is controversial what form these methods should take and whether any such methods are reliable. I propose that first-person experiments are a reliable method for investigating conscious experience. I outline the history of these methods and describe their characteristics. In particular, a first-person experiment is an intervention on a subject's experience in which independent variables are manipulated, extraneous variables are held fixed, and in which the subject makes a phenomenal (...) judgement about the target experience of the investigation. I examine historical and contemporary examples of first-person experiments: Mariotte’s demonstration of the visual blind spot, Kanizsa’s subjective contours, the Tse Illusion, and investigations of the non-uniform resolution of the visual field. I discuss the role that phenomenal contrast plays in these methods, and how they overcome typical introspective errors. I argue that their intersubjective repeatability is an important factor in their scientific status, however, it is not the only factor. That they control for extraneous factors and confounds is another factor which sets them apart from pseudoscience (e.g., the perception of auras), and hence another reason for classifying them as genuine experiments. Furthermore, by systematically mapping out the structure of visual experience, these methods make scientific progress. Praises of such first-person experimental approaches may not always be sung by philosophers and psychologists, but they continue to flourish as respectable scientific methods nevertheless. (shrink)