In recent years, the important and fast growth in the development and demand of multimedia products is contributing to an insufficiency in the bandwidth of devices and network storage memory. Consequently, the theory of data compression becomes more significant for reducing data redundancy in order to allow more transfer and storage of data. In this context, this paper addresses the problem of lossy image compression. Indeed, this new proposed method is based on the block singular value decomposition (SVD) power method (...) that overcomes the disadvantages of MATLAB’s SVD function in order to make a lossy image compression. The experimental results show that the proposed algorithm has better compression performance compared with the existing compression algorithms that use MATLAB’s SVD function. In addition, the proposed approach is simple in terms of implementation and can provide different degrees of error resilience, which gives, in a short execution time, a better image compression. (shrink)

Publication date: 30 March 2017 Source: Author: Khalid El Aref This essay tackles the way the postcolony is refigured in Waciny Laredj’s Aṣābiʿ Lūlītā. It makes use of a number of theoretical insights to uncover the interplay between the representation of the colony during the colonial period through a brief examination of the fly metaphor in Nedjma, first published in 1956, and that of the postcolony. Relying on intertextuality, the essay attempts to highlight how the metaphor of the femme (...) fatale, a key trope in Nedjma, is relocated in the interstices between national and transnational ways of constructing Arab identity that continues to be both here and there. The intertextual nature of Aṣābiʿ complicates the postcolony as it rewrites it. This rewriting seems to highlight the tragic position of Arab characters that continue to vacillate between a traditional past and a postmodern present. Thus, Waciny Laredj subverts the femme fatale trope by making it literal and ends up shaking the very basis of the postcolonial state. (shrink)

Publication date: 29 September 2016 Source: Author: Khalid El Aref The Moroccan novel, being part of the Arabic novel, is a very recent invention. However, in Morocco the novel has become an emblematic genre, which has known a momentous development. This article attempts a critical analysis of three recently published Arabic novels from a cultural studies perspective by highlighting the translational dimensions inherent in their writing, as well as their tendency to redirect attention to more urgent issues related to (...) Moroccan identity. (shrink)

The emergence of predatory journals is a global threat for scientific integrity, particularly in under-resourced settings such as low- and middle-income countries (LMICs). A bilingual course on predatory publishing using a distance education approach was developed for Moroccan researchers as a response to the imperative need for training on research ethics to implement good scientific practices. A cross-sectional survey-based study was conducted to evaluate outcomes after delivering two education sessions in both French and English. Before this course, 40% of participants (...) indicated that they don’t verify journal quality before manuscript submission and most of them consider Scopus indexing and the impact factor as the best criteria for journal publication. Approximately 50% of surveyees did not have previous information on predatory journals before the webinar. Pressure to publish by supervisors, institutions of affiliation, or funding agencies, was noticed in 43.4% of participants. After the webinar course was delivered, remarkably, the proportion of participants with knowledge on predatory publishing was meaningfully increased from 48.9% to 81%. Importantly, 83.7% of participants indicated that they are motivated to share their new knowledge on predatory publishing with their colleagues. Moreover, the majority of respondents (73.8%) reported that publishing their research in predatory journals may damage their career and professional future. Promisingly, nearly a half or more of participants recommended the use of training based on distance education, surveillance of researchers by their mentors and affiliations, and social networks to increase awareness on predatory publishing. Almost all participants were satisfied with the content of the webinar. Trainers and research institutions in LMICs should benefit from the advent of distance education using webinar platforms to increase awareness on the issue of predatory publishing in their settings. (shrink)

This study focused on the identification problems of two-input single-output system with moving average noises based on unsupervised learning methods applied to the input signals. The input signal to the autoregressive moving average model is proposed to be arriving from a source with continuous technical and environmental changes as two separate featured input signals. These two input signals were grouped in a number of clusters using the K-means clustering algorithm. The clustered input signals were supplied to the model in an (...) orderly fashion from cluster-1 up to cluster-K. To ensure that the output signal can be best predicted from the input signal which in turn leads to selecting good enough model for its intended use, the magnitude-squared coherence measure is applied to the input/output signals in the cases of clustered and nonclustered inputs, which indicates best correlation coefficient when measured with clustered inputs. From collected input-output signals, we deduce a K-means clustering based recursive least squares method for estimating the parameter of autoregressive moving average system. The simulation results indicate that the suggested method is effective. (shrink)

In this paper, we propose two HIV infection models with specific nonlinear incidence rate by including a class of infected cells in the eclipse phase. The first model is described by ordinary differential equations and generalizes a set of previously existing models and their results. The second model extends our ODE model by taking into account the diffusion of virus. Furthermore, the global stability of both models is investigated by constructing suitable Lyapunov functionals. Finally, we check our theoretical results with (...) numerical simulations. (shrink)

In this paper, DSEK model with fractional derivatives of the Atangana-Baleanu Caputo is proposed. This paper gives a brief overview of the ABC fractional derivative and its attributes. Fixed point theory has been used to establish the uniqueness and existence of solutions for the fractional DSEK model. According to this theory, we will define two operators based on Lipschitzian and prove that they are contraction mapping and relatively compact. Ulam-Hyers stability theorem is implemented to prove the fractional DSEK model’s stability (...) in Banach space. Also, fractional Euler’s numerical method is derived for initial value problems with ABC fractional derivative and implemented on fractional DSEK model. The symmetric properties contribute to determining the appropriate method for finding the correct solution to fractional differential equations. The numerical solutions generated using fractional Euler’s method have been plotted for different values of α where α ∈ 0,1 and different step sizes h. Result discussion will be given, describing the changes that occur due to the step size h. (shrink)

Los estudios modernos sobre derecho islámico han puesto de relieve la necesidad de estudiar los procedimientos jurídicos en el Islam y el papel desempeñado por la práctica judicial en su formación. Se considera en general que, en el período temprano, los cadíes disponían de mayor libertad en lo relativo a testigos y métodos para establecer pruebas. Posteriormente y de forma gradual el sistema se volvió más rígido y restrictivo. En relación a este desarrollo, los investigadores han propuesto distintas fechas, que (...) van desde la segunda mitad del siglo VII hasta el siglo VIII e incluso hasta el siglo XI. Estos investigadores han tratado la doctrina de al-yamīn ma‛ al-šàhid como una excepción dentro del procedimiento establecido por la šarī‛a que, según ellos, se basaba estricta y mecánicamente en la doctrina de los dos testigos. Para dichos investigadores, la doctrina de al-yamīn ma‛ al-šàhid surgió bajo la influencia de determinadas locadidades o bien por influencia judía. Este artículo propone que esa doctrina debió de surgir en el contexto del período de la guerra civil, cuando las cuestiones sobre qiṣāṣ, qawad, qasāma y ḥakam fueron discutidas con frecuencia en relación con el Corán y la sunna común y cuando se sintió la necesidad de reformar la institución del ḥakam. Sobre la base de afirmaciones dispersas de ulemas que vivieron en fechas cercanas a ese período, afirmaciones que se ven confirmadas por los comentarios de Wakī‛, se concluye que Mu‛āwiya fue quien introdujo ese método para reformar la institución del ḥakam. La práctica judicial de esta doctrina también confirma que estaba demasiado difundida como para poder considerarla una práctica medinense o una práctica local, tal y como pretenden algunos juristas clásicos, los tradicionistas y algunos investigadores modernos. (shrink)

RESUMEN: Este trabajo considera la conceptualización y aplicación de la figura de los ajustes razonables en Qatar tras nueve años desde la ratificación de la Convención sobre los Derechos de las Personas con Discapacidad (CDPD). En él se trata de analizar la situación de igualdad y no discriminación de las personas con discapacidad utilizando como medida de impacto la figura de ajustes razonables. El artículo destaca las principales fallas y virtudes del Estado de Qatar respecto a esta figura y traza (...) un camino a fin de poder avanzar en la inclusión de las personas con discapacidad a la luz de la CDPD. ABSTRACT: This paper considers the conceptualization and application of reasonable acommodation in Qatar after nine years since the ratification of the Convention on the Rights of Persons with Disabilities (CRPD). It analyzes the situation of equality and non-discrimination of people with disabilities using the figure of reasonable adjustments as an impact measure. The article highlights the main failures and virtues of the State of Qatar regarding reasonable accommodation and draws a path to move forward in the inclusion of people with disabilities in the light of the CRPD. PALABRAS CLAVE: ajustes razonables, igualdad, CDPD, Qatar. KEYWORDS: reasonable accommodation, equality, CRPD, Qatar. (shrink)

RESUMEN: Este artículo analiza el sentido e implicaciones del Artículo 12 de la Convención Internacional sobre los Derechos de las Personas con Discapadad a la luz de la Observación General Nº1 de su Comité y se centra en determinar su impacto en el régimen general de atribución de personalidad y capacidad jurídica y en el ámbito del Derecho Privado y de Familia del Estado de Qatar. ABSTRACT: This paper analyzes the meaning and implications of Article 12 of the International Convention (...) on the Rights of Persons with Disabilities in the light of the General Comment No. 1 of its Committee. It focuses on determining the impact of this General Comment to the general regime of personality and capacity attribution in the field of Private law and Family law on Qatar. PALABRAS CLAVE: capacidad jurídica, CDPD, derecho privado, legislación qatarí. KEYWORDS: legal capacity – CRPD – private law – Qatari legislation. (shrink)

This twelfth volume of Collected Papers includes 86 papers comprising 976 pages on Neutrosophics Theory and Applications, published between 2013-2021 in the international journal and book series “Neutrosophic Sets and Systems” by the author alone or in collaboration with the following 112 co-authors (alphabetically ordered) from 21 countries: Abdel Nasser H. Zaied, Muhammad Akram, Bobin Albert, S. A. Alblowi, S. Anitha, Guennoun Asmae, Assia Bakali, Ayman M. Manie, Abdul Sami Awan, Azeddine Elhassouny, Erick González-Caballero, D. Dafik, Mithun Datta, Arindam Dey, (...) Mamouni Dhar, Christopher Dyer, Nur Ain Ebas, Mohamed Eisa, Ahmed K. Essa, Faruk Karaaslan, João Alcione Sganderla Figueiredo, Jorge Fernando Goyes García, N. Ramila Gandhi, Sudipta Gayen, Gustavo Alvarez Gómez, Sharon Dinarza Álvarez Gómez, Haitham A. El-Ghareeb, Hamiden Abd El-Wahed Khalifa, Masooma Raza Hashmi, Ibrahim M. Hezam, German Acurio Hidalgo, Le Hoang Son, R. Jahir Hussain, S. Satham Hussain, Ali Hussein Mahmood Al-Obaidi, Hays Hatem Imran, Nabeela Ishfaq, Saeid Jafari, R. Jansi, V. Jeyanthi, M. Jeyaraman, Sripati Jha, Jun Ye, W.B. Vasantha Kandasamy, Abdullah Kargın, J. Kavikumar, Kawther Fawzi Hamza Alhasan, Huda E. Khalid, Neha Andalleb Khalid, Mohsin Khalid, Madad Khan, D. Koley, Valeri Kroumov, Manoranjan Kumar Singh, Pavan Kumar, Prem Kumar Singh, Ranjan Kumar, Malayalan Lathamaheswari, A.N. Mangayarkkarasi, Carlos Rosero Martínez, Marvelio Alfaro Matos, Mai Mohamed, Nivetha Martin, Mohamed Abdel-Basset, Mohamed Talea, K. Mohana, Muhammad Irfan Ahamad, Rana Muhammad Zulqarnain, Muhammad Riaz, Muhammad Saeed, Muhammad Saqlain, Muhammad Shabir, Muhammad Zeeshan, Anjan Mukherjee, Mumtaz Ali, Deivanayagampillai Nagarajan, Iqra Nawaz, Munazza Naz, Roan Thi Ngan, Necati Olgun, Rodolfo González Ortega, P. Pandiammal, I. Pradeepa, R. Princy, Marcos David Oviedo Rodríguez, Jesús Estupiñán Ricardo, A. Rohini, Sabu Sebastian, Abhijit Saha, Mehmet Șahin, Said Broumi, Saima Anis, A.A. Salama, Ganeshsree Selvachandran, Seyed Ahmad Edalatpanah, Sajana Shaik, Soufiane Idbrahim, S. Sowndrarajan, Mohamed Talea, Ruipu Tan, Chalapathi Tekuri, Selçuk Topal, S. P. Tiwari, Vakkas Uluçay, Maikel Leyva Vázquez, Chinnadurai Veerappan, M. Venkatachalam, Luige Vlădăreanu, Ştefan Vlăduţescu, Young Bae Jun, Wadei F. Al-Omeri, Xiao Long Xin.‬‬‬‬‬‬. (shrink)

Journal of Social Philosophy, EarlyView.

En visant une modélisation conceptuelle, cet écrit théorique aborde la vulnérabilité du professionnel de la protection de l’enfance à travers le prisme de son éthique. Dans une dynamique socioculturelle parfois trouble, ce professionnel fait face à la vulnérabilité des familles mais aussi à la sienne propre. Nous soutenons qu’il est fragilisé par un contexte qui altère fortement le déploiement du triptyque qui forme la base de ses actions socio-psycho-éducatives – orientation scolaire spécialisée/soins psychiques/placement. Comment alors s’estimer soi-même comme personne et (...) comme professionnel en évaluant ses actions à l’aune d’une visée éthique pour le moins contrariée par des normes porteuses de nouveaux idéaux? L’auteur conclut l’article en soulignant le risque de culpabilité que le professionnel peut endosser, à tort. Il plaide enfin pour une éthique à la fois prescriptive, armée de concepts philosophiques, et réflexive, enrichie par les rugosités du terrain, afin d’aborder de front les nouveaux antagonismes qui s’emparent du champ de la protection de l’enfance. (shrink)

Using a large sample of 3,040 U.S. firms and 16,606 firm-year observations over the 1991–2010 period, we find strong evidence that firm internationalization is positively related to the firm’s corporate social responsibility rating. This finding persists when we use alternative estimation methods, samples, and proxies for internationalization and when we address endogeneity concerns. We also provide evidence that the positive relation between internationalization and CSR rating holds for a large sample of firms from 44 countries. Finally, we offer novel evidence (...) that firms with extensive foreign subsidiaries in countries with well-functioning political and legal institutions have better CSR ratings. Our findings shed light on the role of internationalization in influencing multinational firms’ CSR activities in the U.S. and around the world. (shrink)

Baudrillard's remarkably prescient meditation on terrorism throws light on post-9/11 delusional fears and political simulations. Published one year after Forget Foucault, In the Shadow of the Silent Majorities may be the most important sociopolitical manifesto of the twentieth century: it calls for nothing less than the end of both sociology and politics. Disenfranchised revolutionaries hoped to reach the masses directly through spectacular actions, but their message merely played into the hands of the media and the state. In a media society (...) meaning has no meaning anymore; communication merely communicates itself. Jean Baudrillard uses this last outburst of ideological terrorism in Europe to showcase the end of the "Social." Once invoked by Marx as the motor of history, the masses no longer have sociological reality. In the electronic media society, all the masses can do—and all they will do—is enjoy the spectacle. In the Shadow of the Silent Majorities takes to its ultimate conclusion the "end of ideologies" experienced in Europe after the Soviet invasion of Hungary and the death of revolutionary illusions after May 1968. Ideological terrorism doesn't represent anything anymore, writes Baudrillard, not even itself. It is just the last hysterical reaction to discredited political illusions. (shrink)

Recent years have seen a shift in epistemological studies of intellectual self-trust or epistemic self-trust: intellectual self-trust is not merely epistemologists’ tool for silencing epistemic skepticism or doubt, it is recognized as a disposition of individuals and collectives interesting in its own rights. In this exploratory article I focus on a particular type of intellectual self-trust—collective intellectual self-trust—and I examine which features make for valuable or pernicious collective intellectual self-trust. From accounts of the value of individual intellectual self-trust I take (...) three frameworks for evaluating collective intellectual self-trust: an epistemically consequentialist, a virtue-theoretic and a prudential/pragmatic framework (§2). Then I introduce collective intellectual self-trust (§3). Against this background I explain what is distinctive of valuable collective intellectual self-trust (§4) and pernicious collective intellectual self-trust (§5) within the three frameworks. I close by discussing the relation between the three frameworks and argue that evaluating intellectual self-trust requires a multi-perspectival approach constituted by the three frameworks. (shrink)

This study provides evidence on the relationship between corporate social responsibility and firms’ credit ratings. We find that credit rating agencies tend to award relatively high ratings to firms with good social performance. This pattern is robust to controlling for key firm characteristics as well as endogeneity between CSR and credit ratings. We also find that CSR strengths and concerns influence credit ratings and that the individual components of CSR that relate to primary stakeholder management matter most in explaining firms’ (...) creditworthiness. Overall, our results suggest that CSR performance conveys important non-financial information that rating agencies are likely to use in their evaluation of firms’ creditworthiness, and that CSR investments—particularly those that extend beyond compliance behavior to reflect what is desired by society—can lead to lower financing costs resulting from higher credit ratings. (shrink)

Plastic consumption is an important aspect of contemporary living, and studies that systematically examine consumers’ plastic waste recycling intentions from an ethical perspective are scarce. Considering the severity of plastic waste recycling problems globally based on the stimulus-organism-response paradigm, this study analyses how the information publicity influences consumers’ plastic waste recycling intentions from an ethical perspective in an emerging market economy. We investigate this link by focusing on the indirect effect of perceived social pressure and the moderating role of media (...) disposition (i.e., media richness and content trustworthiness). Data from a three-wave field survey of 469 household consumers from China showed that social pressure mediated the positive relationship between information publicity and ethical recycling intentions. Additionally, media richness and content trustworthiness moderate the link between information publicity and consumers’ perceptions of social pressure. These findings provide encouraging evidence for applying the SOR paradigm to explain the ethical recycling intention of consumers. The findings may assist policymakers in motivating consumers to think ethically about plastic waste recycling. (shrink)

Following the same procedure that allowed Shcrödinger to construct the (canonical) coherent states in the first place, we investigate on a possible classical interpretation of the deformed harmonic oscillator. We find that, these oscillator, also called q-oscillators, can be interpreted as quantum versions of classical forced oscillators with a modified q-dependant frequency.

In this paper, a complex non- linear programming problem with the two parts (real and imaginary) is considered. The efficient and proper efficient solutions in terms of optimal solutions of related appropriate scalar optimization problems are characterized. Also, the Kuhn-Tuckers' conditions for efficiency and proper efficiency are derived. This paper is divided into two independently parts: The first provides the relationships between the optimal solutions of a complex single-objective optimization problem and solutions of two related real programming problems. The second (...) part is concerned with the theory of a multi-objective optimization in complex space. (shrink)

This study provides an innovative approach to neutrosophic algebraic structures by introducing a new structure called Neutrosophic Soft Cubic T-ideal (NSCTID), which combines T-ideal (TID) and neutrosophic Soft Cubic Sets (NSCSs) within the framework of PS-Algebra. Within the already-existing neutrosophic cubic structures, the addition of soft sets with the characteristics of TID makes this structure more desirable. The theoretical development of the proposed structure includes the application of fundamental ideas as union, intersection, the Cartesian product, and homomorphism. We also introduce (...) the notions of NSCTID-translation and NSCTID-multiplication to further enhance the structure of NSCTID. By applying the idea of translation and multiplication, we offer improved algorithm for neutrosophic cubic sets to deal with different parameters that are satisying the TID’s distinctive characteristics. Through this thorough research, we offer an elementary understanding of NSCTID and its capabilities, providing the way to new algebraic structures. (shrink)

Rationale, aims and objectives To compare the pharmacotherapeutic approaches to diabetic hypertension of family physicians (FPs) and general practitioners (GPs). Methods A retrospective prescription-based study was conducted in 15 out of a total of 20 health centres, involving 115 primary care physicians – 77 FPs and 38 GPs, representing 74% of the primary care physicians of Bahrain. Prescriptions were collected during May and June 2000 to comprise a study population of 1266 diabetic-hypertensive patients. Results As monotherapy, angiotensin-converting enzyme (ACE) inhibitors (...) (37.9%) and β-blockers (38.3%) were the most commonly prescribed classes of antihypertensives by FPs and GPs, respectively. Calcium channel blockers (CCBs) were ranked third by both categories of physicians. For two-drug combinations, a β-blocker and an ACE inhibitor was the combination of choice for both physician categories. Patients managed by the FPs were more likely to receive a β-blocker–CCB combination (17.4 vs. 14.9%) or a diuretic–ACE inhibitor combination (16.7 vs. 11.4%) and less likely to receive a β-blocker–diuretic combination (11.8 vs. 16.7%) than those managed by the GPs. The proportion of patients receiving antihypertensive combinations was 40.6 and 38.5% for FPs and GPs, respectively. While the GPs prescribed CCB as a monotherapy to the elderly most often, the FPs choice was a β-blocker. Diuretics were less preferred by both FPs and GPs. β-Blocker–ACE inhibitor was again the most preferred combination of both FPs and GPs. FPs prescribed CCB–β-blocker combinations more often than GPs (P = 0.01), whereas CCB–ACE inhibitor combinations were less preferred (P = 0.09). A trend towards excessive use of short-acting nifedipine as monotherapy for elderly patients, both by FPs and by GPs, was noticed. Glibenclamide, alone or in combination with metformin, was the foremost antidiabetic drug prescribed by FPs and GPs. Middle-aged (45–64 years) patients seen by GPs were more likely to receive glibenclamide than those treated by FPs (P = 0.001) and less likely to receive gliclazide (P = 0.01). Combinations of a β-blocker with either glibenclamide or insulin were prescribed considerably more often by GPs.Conclusions Within the same practice setting, a substantial difference was observed between FPs and GPs in terms of preference for different classes of drugs in the management of diabetic hypertension. The compliance of both FPs and GPs was suboptimal; overall, the compliance of the FPs was closer to the recommended guidelines, however. Educational programmes should specifically address these inadequacies in order to improve the quality of health care. (shrink)

This edition collects all the surviving evidence for the fifth-century BCE Athenian sophist Antiphon and presents it together with a translation and a full commentary, which assesses its reliability and significance. Although Antiphon is not as familiar a figure as sophists such as Protagoras and Gorgias, substantial fragments have survived from his major works, On Truth and On Concord, including extensive remains preserved on papyrus. In addition, information about his doctrines is preserved by ancient writers ranging in time from Aristotle (...) to Simplicius and beyond. The introduction provides a brief sketch of Antiphon, his works, and his place in the fifth-century BCE sophistic movement, including his important contribution to the contemporary debate over the relation of law and nature. It also deals with the controversial question of the identity of Antiphon the sophist in relation to Antiphon of Rhamnus and other men of the same name. (shrink)

This paper unravels an unprecedented interplay between board gender diversity (BGD) and corporate environmental, social, and governance (ESG) disputes among Chinese A-share-listed nonfinancial companies from 2017 to 2021. Framed within a knowledge-based and sensemaking perspective of institutional frameworks, the research not only illuminates the profound impact of internal (corporate governance ratings) and external (regional institutional development) institutional factors on this intricate relationship but also brings to light a paradigm-shifting revelation. The study employed a diverse set of empirical tests, ranging from (...) ordinary least squares regression to advanced methods such as the generalized method of moments, two-stage least squares, and propensity score matching, providing a nuanced and comprehensive analysis. The findings highlight the pivotal role of female directors in significantly mitigating ESG disputes. A mechanism analysis further uncovers that internal and external institutional quality are potent positive moderators in shaping the BGD–ESG dispute dynamic. This research has profound implications, providing valuable insights for stakeholders, policymakers, and scholars, offering a comprehensive understanding of how gender diversity fosters sustainability while unravelling the intricate tapestry of internal and external institutional dynamics that shape ESG outcomes. (shrink)

NoteThe following was written as a commentary on an article we published in our Spring 2023 issue, “’Comprehensive Healthcare for America’: Using the Insights of Behavioral Economics to Transform the U. S. Healthcare System,” by Paul C. Sorum, Christopher Stein, and Dale L. Moore. This commentary should have appeared alongside that article. We apologize to the authors and our readers for the error.

Scientists investigating the thermal properties of black holes rely heavily on theoretical and non-empirical tools, such as mathematical derivations, analogue experiments and thought experiments. Although the use of mathematical derivations and analogue experiments in the context of black hole physics has recently received a great deal of attention among philosophers of science, the use of thought experiments (TEs) in that context has been almost completely neglected. In this paper, we will start filling this gap by systematically analyzing the epistemic role (...) of the two TEs that gave birth to black hole thermodynamics, namely Wheeler’s demon and Geroch’s engine. We will argue that the two main epistemic functions of these TEs are to reveal and resolve inconsistencies, in line with El Skaf’s (Probing theoretical statements with thought experiments. Synthese 199:6119–6147, 2021) approach to TEs. We will, then, go beyond El Skaf’s approach by stressing an important difference between the strategies employed to assess the reliability of each epistemic function. (shrink)

After his refutation of the doubts concerning Proposition I.7, Ibn al-Haytham mentions three possible ways in which circles may intersect, submitting them to the following “intuitive” argument: one part of one of the two circles is situated inside of the other circle, and its other part is situated outside of it. One is therefore tempted to believe that the commentator accepts the principle of continuity in the case of circles, since his argument has the following meaning: if a circle is (...) divisible into two parts, one of which is situated inside the other circle, and the other outside of it, then the two circles cut one another. The author of this article proposes to establish the limits of this belief, on the basis of the following reflections: 1). It will be noted first of all that what could be called the ‘principle of the intersection of circles’ does not constitute ipso facto a principle in the mind of Ibn al-Haytham: no allusion is made to it in the commentary on Proposition I.1, among others. 2) It will be established later on that if one accepts that a line is the result of the movement of a point, the principle of continuity should be considered by him as something which is obvious by itself, without being stated. This conclusion will be based on an analysis of the notion of continuity in its classical meaning, and on Ibn al-Haytham’s commentary on Proposition X.1. 3) On the other hand, we should note the presence of a ‘sketch’ of topological language, which Ibn al-Haytham develops for the notion of a circle : one could say in this context that his reflection constitutes an important, if not principal, stage in the process which was to lead to the explicit formulation of the principle of continuity. (shrink)