Data analysis has become most widespread field of research and it has extended in almost every field of study. Considering the recent trends and developments in the field of communication and information technology, there is a scope of combining the monitoring of substation equipment with big data analysis technology. That will result in an improved data analysis ability, information sharing and utilization rate of monitoring data. In the proposed work, the authors have introduced the big data analysis and its corresponding (...) application in the monitoring of substations. Basic concepts and the procedures of the typical data analysis for general problems are also discussed. As a main part of the paper, different types of distributed data analysis techniques have been proposed, in which two relational online analysis, namely Hive and Impala and one H Base multidimensional online analysis are important. These data analysis techniques are proposed considering the analysis efficiency, storage performance from the business development requirements point of view of the substation. The result obtained depicts that the proposed model has an advantage in storage overhead and roll-up performance, when compared with the traditional method, although the data loading speed is approximately 1.7–1.9 times of the traditional model. Some experiments are carried out in order to verify the validity of the model. (shrink)

The Heisenberg-Gabor uncertainty principle defines the limits of information resolution in both time and frequency domains. The limit of resolution discloses unique properties of a time series by frequency decomposition. However, classical methods such as Fourier analysis are limited by spectral leakage, particularly in longitudinal data with shifting periodicity or unequal intervals. Wavelet transformation provides a workable compromise by decomposing the signal in both time and frequency through translation and scaling of a basis function followed by correlation or convolution with (...) the original signal. This study aimed to compare the accuracy of predictive models in mental arithmetic in time and frequency domains. Analysis of the author's response time at mental arithmetic using a soroban was modeled for two periods, an initial period, and a return period both separated by an interval of 370 days. The median response times in seconds was longer for all tasks during the TI compared to the TR period, for addition [CTAdd 62 vs 50 s] and summation [CTSum 68 vs 57 s]. Response times were longer for errors regardless of the study period or task. There was an increasing phase difference for the addition and summation tasks during the TI period toward the end of the series 49.65o compared to the TR period where the phase difference between the two tasks was only 2.05o, indicating that both tasks are likely demonstrating similar learning rates during the latter study period. A comparison between time and time/frequency domain forecasts for an additional 100 tasks demonstrated higher accuracy of the maximum overlap discrete wavelet transform model, where the mean absolute percentage error ranged between 5.48 and 8.19% and that for the time domain models [autoregressive integrated moving average, generalized autoregressive conditional heteroscedasticity ] was 6.16–10.80%. (shrink)

Minimal theory of mind is presented in the theory of mind literature as a middle ground between full-blown ToM and mere behavior-reading. Minimal ToM seems to be a useful construct for studying and understanding the minds of nonhuman animals and infants. However, providing an account of minimal ToM on which minimal mindreading is significantly less demanding than full-blown mindreading yet more than just a behavior-reading process is a challenge. In this paper, I argue that to address this challenge, we need (...) to depart from the traditional framework of mindreading in more radical ways than offered by current minimal theory of mind accounts. First, I explain the traditional view of mindreading on which mental state attribution is treated as essential for mindreading and analyze the general respects in which it makes mindreading demanding for the mindreader, such as requiring the mindreader to have concepts of mental states, engage in inferential reasoning processes involving mental states, and form meta-representations. Then I discuss and critically evaluate two accounts of minimal ToM and argue that these accounts either do not depart sufficiently from the demanding requirements of traditional mindreading or risk becoming re-descriptions of behavior-reading accounts. Finally, I present an alternative Millikanian account of minimal ToM that avoids this risk while departing more radically from the traditional view of mindreading by providing a way for minimal mindreaders to represent the mental states of others and respond to them without engaging in conceptual mental state attribution. (shrink)

This volume includes a target paper, taking up the challenge to revive, within a modern (formal) framework, a medieval solution to the Liar Paradox which did ...

Originally premiering in 1963, the BBC television series Doctor Who has long been criticized for essentializing colonial scenarios and failing to address issues of race and post-colonial realities. As a white male with the privilege to explore time and space, the titular Doctor stands in contrast to his human companion Martha Jones, a Black woman who represents the first and only main character in the show to be a medical professional of color. The relationship between the Doctor and Martha inherently (...) demands an exploration of the meaning of doctorhood. In studying the ways in which these characters embody the idea of “doctor,” we examine how race structures their approach to medicine, heroism, and colonialism. Whereas the Doctor personifies the figure of colonizer and post-colonial white savior, Martha emerges as a radical figure whose doctorhood potentially challenges and dismantles the colonial history of medicine. Through Afrofuturist and Afrosurrealist lenses, Martha represents a potentially subversive figure who offers a visionary medicine rooted in social justice. (shrink)

Political philosophers often draw their conclusions on how political systems ought to be by first investigating human nature and then proposing recommendations extrapolating from those investigations. They attempt to do this by creating a hypothetical ‘state of nature’ where human beings would be unaffected by social, political, and cultural paradigms and can act freely in pursuit of their instincts, thereby revealing their true nature. English philosopher Thomas Hobbes followed this method of investigation and found that human beings are naturally violent, (...) individualistic, warlike and therefore concluded that political theory ought to be as such to prevent human beings from acting out their baser impulses through draconian authoritative measures when necessary. In this paper, I challenge Hobbes’s claim on human nature by citing contemporary research on cognitive sciences which demonstrates that human beings have a natural predisposition to believe in supernatural agency (God/s) and therefore in the state of nature must behave in such a way as contemporary psychologists discovered investigating the effect of religiosity on human beings such as increased cooperation, selfless behavior towards genetically unrelated strangers, reduced crime rate deterred by supernatural punishment, etcetera. I argue that if we take into account the human propensity to believe in the supernatural agency then the state of nature hypothesized by Hobbes would need to be modified and therefore so would his political theory. Given the integration of cognitive science of religion into the state of nature, I conclude that the ideal political system must be centered around religion. Philosophy and Progress, Vol#67-68; No#1-2; Jan-Dec 2020 P 77-118. (shrink)

This article describes the potential impact that free (i.e., open source) software can have on an existing commercial software market. A model for the software market is constructed in terms of autonomous agents, which represent the users, the companies, and the free software providers. The model specifies a reservation price for each user agent and develops a gradient learning strategy for revenue-maximizing company agents. Simulations explore parameters such as the demand distribution, and the relative importance of market share, advertising and (...) random effects in product visibility. Results from the case without free software show a prevalence of monopolies, which is consistent with other studies of high-technology market economics. The effects of free software are not uniform, but are highly parameter dependent. A “capture region” is found in which free software eventually dominates the market. (shrink)

Context. Social media platforms such as Facebook and Twitter carry a big load of people’s opinions about politics and leaders, which makes them a good source of information for researchers to exploit different tasks that include election predictions. Objective. Identify, categorize, and present a comprehensive overview of the approaches, techniques, and tools used in election predictions on Twitter. Method. Conducted a systematic mapping study on election predictions on Twitter and provided empirical evidence for the work published between January 2010 and (...) January 2021. Results. This research identified 787 studies related to election predictions on Twitter. 98 primary studies were selected after defining and implementing several inclusion/exclusion criteria. The results show that most of the studies implemented sentiment analysis followed by volume-based and social network analysis approaches. The majority of the studies employed supervised learning techniques, subsequently, lexicon-based approach SA, volume-based, and unsupervised learning. Besides this, 18 types of dictionaries were identified. Elections of 28 countries were analyzed, mainly USA and Indian elections. Furthermore, the results revealed that 50% of the primary studies used English tweets. The demographic data showed that academic organizations and conference venues are the most active. Conclusion. The evolution of the work published in the past 11 years shows that most of the studies employed SA. The implementation of SNA techniques is lower as compared to SA. Appropriate political labelled datasets are not available, especially in languages other than English. Deep learning needs to be employed in this domain to get better predictions. (shrink)

Martin Buber has always made it clear that his dialogic principle is not to be treated as an abstract conception but an ontological reality. But admittedly, in I And Thou he could only point to such reality and could not properly present it in discursive prose. However there are instances in the text where he strives to do the latter. One particular instance is where he elaborates the emergence of consciousness of “I”. Through this elaboration, what Buber has tried to (...) point at is the bringing forth of the primary word ‘I-It’ forming part of his dialogic principle, as it ‘emerges round about’ the perceptual consciousness realised in body as some sort of a ‘primitive function of knowledge’. However, this still amounts only to an abstract conception, and not to a description of ontological reality as Buber would have aspired for. Hence the thought: what if there exists an endeavour carried out independently of Buber’s work, nevertheless in the same spirit as Buber but without his notorious mixing up of philosophy and religion? There indeed has been such an Existential-phenomenological take on embodiment and perception by the French phenomenologist Maurice Merleau-Ponty, as is laid out in his magnum opus Phenomenology of Perception. In the present paper we will explicate this interesting coincidence, thereby honouring Buber’s aspiration for ontological status to his dialogic principle, at the same time demonstrating how existentially resonating and ontologically converging the thought of these two great thinkers’ have been, though they had totally different intellectual pursuits and concerns. (shrink)

The article offers a panoramic view of the tropes of “space” and “place” in the poetry of Avot Yeshurun, and explores the radical transformation they underwent throughout the years – from the early poems of the 1930s, to the last volume of poems published before the poet’s death in 1992. I contend that the shift in the nature of the Yeshurunian space, caused by the catastrophe of the Shoah, the foundation of the State of Israel, and the Palestinian Nakba that (...) proceeded it, can be viewed through the prism of what I call “the problem of transference”. Struggling to re-connect the now insurmountably severed worlds – the pre-catastrophe world of the golah, and the new, post-catastrophe, Israeli world – Yeshurun’s poetry exhibits an ever-growing tendency to transfer language-materials from one side of the abyss to the other, desperately attempting to both salvage the remains of the ruined home, and establish the new world as a proper dwelling place. This back-and-forth movement of traumatic transference, I argue, is a powerful interpretive tool by which to understand the poet’s entire poetic project and to account for its peculiarities, and above all - its famous “clash of languages” which consists of Hebrew, Yiddish, and Arabic. (shrink)

This article explores how the diversity of board resources and the number of women on boards affect firms' corporate social responsibility (CSR) ratings, and how, in turn, CSR influences corporate reputation. In addition, this article examines whether CSR ratings mediate the relationships among board resource diversity, gender composition, and corporate reputation. The OLS regression results using lagged data for independent and control variables were statistically significant for the gender composition hypotheses, but not for the resource diversitybased hypotheses. CSR ratings had (...) a positive impact on reputation and mediated the relationship between the number of women on the board and corporate reputation. (shrink)

While there has been much discussion of how the scientific establishment’s culture can engender research misconduct and scientific irreproducibility, this has been discussed much less frequently with respect to the medical profession. Here the authors posit that a lack of self-criticism, an encouragement of novel scientific research generated by the recruitment policies of the UK Royal Training Colleges along with insufficient training in the sciences are core reasons as to why research misconduct and dishonesty prevail within the medical community. Furthermore, (...) the UK General Medical Council’s own data demonstrates a historic inattentiveness to the ease with which doctors can engage in research misconduct. Suggestions are made as to how these issues can be investigated and alternative incentives for career advancement are adumbrated. (shrink)

We may sharpen our understanding of legislation by juxtaposing it with other types of legal act. John Gardner attempts to differentiate legislation from legal rulings – an unusual juxtaposition in itself – and his claims about the difference are surprising. Legal rulings are legally binding pronouncements issued by judges – eg ‘A owes B $50 in compensation’. The article queries the analysis advanced by Gardner and endorsed by other accounts. It instead offers an alternative distinction, and in so doing seeks (...) to clarify what legislation is by what it is not. (shrink)

In lowland South America, breath animates human and non-human bodies, pulsating through the materialities of organisms. Humans, however, should manage their bodies to recast and reconfigure breath in its most life-enhancing manifestations: singing and smoking. These are the specialized domains of those able to manage their vitalities in such a way as to produce potent effects in themselves and in the world around them, including influencing atmospheric conditions, the lives of animals and plants and the harming and healing of others. (...) In these relational onto-epistemologies, intersubjectivity, intercorporality and states of non-cognitive interaffection find new depths. Breath, properly managed, can make and unmake worldly forms, including bodies and the societies they come together in. Focusing on two Amerindian communities, the Warekena of northwestern Rio Negro, Brazil and the Shipibo-Konibo of the Ucayali valley in Eastern Peru, this article examines the interface between human and non-human subjectivities, and how resonant interaffective atmospheric conditions are induced to promote health. (shrink)

There is evidence of reciprocal connectivity, similarity of oscillatory responses to stimulation of multiple motor and somatosensory cortices, whole system oscillation, and short- latency responses to behavioral perturbation. These suggest that frame/content may be instantiated by overlapping neural populations, and that the genesis of frame oscillations may be profitably thought of as an emergent property of a distributed neural system.

This manuscript investigates fixed point of single-valued Hardy-Roger’s type F -contraction globally as well as locally in a convex b -metric space. The paper, using generalized Mann’s iteration, iterates fixed point of the abovementioned contraction; however, the third axiom of the F -contraction is removed, and thus the mapping F is relaxed. An important approach used in the article is, though a subset closed ball of a complete convex b -metric space is not necessarily complete, the convergence of the Cauchy (...) sequence is confirmed in the subset closed ball. The results further lead us to some important corollaries, and examples are produced in support of our main theorems. The paper most importantly presents application of our results in finding solution to the integral equations. (shrink)

The purpose of this study is to understand the drivers of social responsibility in purchasing (PSR). This study replicated and extended the range of empirical application of the model developed by Carter and Jennings {Journal of Business Logistics 25(1), 145-186, 2004). Consequently, the present study contributes to the nomological validity of concept of PSR or Purchasing Social Responsibility. The method used is derived from the previous study by Carter and Jennings (Journal of Business Logistics 25(1), 145-186, 2004), and the present (...) study extends the application of that method to an Asian environment. The data were obtained from 197 respondents in Thailand. This sample was largely composed of purchasing and supply chain managers. Respondents were asked to indicate how different dimensions of corporate social responsibility (CSR) affect PSR. The findings of the present study suggest that all the six hypothesized paths have been substantiated. Individual values and people-oriented organizational culture are the most powerful predictors of PSR. This article contributes towards filling the gap in understanding the determinants of PSR in managing supply chains, particularly in an Asian context. (shrink)

A growing body of work suggests that the presence of women and of independent directors on boards of directors is associated with higher corporate environmental performance. However, the mechanisms linking board composition to corporate environmental performance are not well understood. This study proposes and empirically tests the mediating role of sustainability-themed alliances in the relationship between board composition and corporate environmental performance. Using the population of public oil and gas firms in the United States as the sample, the study relies (...) on renewable energy alliances to measure sustainability-themed alliances and longitudinally analyzes lagged data for independent and control variables. The study found that the higher the representation of women on a firm’s board, the more likely the firm is to form sustainability-themed alliances, and the higher the representation of independent directors on a firm’s board, the more likely the firm is to form sustainability-themed alliances. Such alliances, in turn, positively contribute to corporate environmental performance. This paper discusses the study’s contributions to the board composition-social performance literature. (shrink)

The concept of a hypersoft membership function is introduced in the extension of a soft set known as a hypersoft set, permitting it to handle complicated and uncertain information in a more powerful and flexible manner. Many academics have already become fascinated with this new area of study, leading to the development of a number of hybrid structures. This chapter develops some new hybrid hypersoft set structures by taking into account multiple fuzzy set-like settings and possibility degree-based settings collectively. Additionally, (...) numerical examples are included to clarify the concept of these structures. Researchers can utilize this work to better understand and apply a variety of mathematical ideas. (shrink)

Built on the integrated theoretical framework of antecedents of flow and expectation confirmation model, this research investigates the way flow experience drives the online students’ intention to engage in online English teaching platforms. This study focused on the online students engaged in online English learning platforms in Taiwan. A total of 500 online students were selected. An online survey was conducted with the help of a marketing research agency located in Taiwan. According to the results, the online students’ flow experience (...) was found to be in a significant relationship with continuous intention. The antecedents, including perceived enjoyment, challenge, and situational involvement, were found to be in a positive relationship with flow experience; however, confirmation and perceived vividness did not have significant effects on the flow. Furthermore, flow and confirmation were found to be in a significant relationship with perceived usefulness and satisfaction. Moreover, perceived usefulness was found to be in a significant relationship with satisfaction and continuous intention. Lastly, satisfaction was found to be in a significant relationship with continuous intention. Finally, the questions proposed in this research with their empirical findings offer profound understanding for establishing a well-devised online English learning platform that can motivate online learning. These results and managerial implications for online English language platforms are innovative and significant in practice. (shrink)

One way to compare different theoretical approaches to the study of technologies is to see what the difference is between their narratives of the construction of a particular technology. In this paper, we re-narrate the bicycle construction from the perspective of actor-network theory (ANT), comparing to SCOT’s first account of the construction. Although SCOT has moved closer to actor-network theory later by paying more attention to co-construction and materliaty, Pinch and Biker have not modified their account of the bicycle development (...) according to these theoretical changes, despite the fact that one decade later Bijker allocated one chapter, ‘king of the road’, to Safety bicycle development again. An ANT’s narrative of bicycle development can provide a basis for a concrete comparison between ANT and the classic version of SCOT. Or it could be argued that this narrative could complement the story of Pinch and Biker of bicycle development. While we present a new narrative of bicycle development in comparison with SCOT’s one, we offer a methodological framework in the ANT literature that can be considered as a methodological procedure to the study of artefacts in general; this framework has three elements: 1. Phenomenal Bracketing, 2. Collective construction, and 3. Co-construction. (shrink)

The 2019 Pandemic has forced students to take online classes, increasing their stress levels and negatively impacting their academic performance. This issue urges the development of a mechanism to make online learning more effective in this nerve-racking time. Therefore, the present study has integrated the task technology fit model and the DeLone and McLean Model of Information Systems Success to address the stated issue. The data were collected from 330 and 326 students of top-ranked public and private universities of Punjab, (...) respectively. The theoretical framework was analyzed with the help of structural equation modeling using Analysis of Moment Structures. The findings indicate that overall quality positively predicts performance through the mediating role of user satisfaction and TTF. The overall quality also positively elevates performance through the mediating role of user satisfaction and actual usage of the system. Moreover, perceived usefulness proved to be a moderator between overall quality and user satisfaction. Finally, the expected practical and theoretical implications have also been discussed. (shrink)

Social media marketing has become one of the most significant growth paths for many businesses in today’s world. However, many companies are still unclear about using social media marketing to get their advantages, particularly in an e-commerce environment. In this background, this study is proposed to examine the effects of social media marketing activities on relationship quality, such as commitment, trust, and satisfaction in order to predict consumers’ online repurchase intentions in China’s e-commerce environment. This study proposed a theoretical model (...) by using the stimulus-organism-response theory. Using a structured questionnaire and purposive sampling, this study examined the responses of 403 consumers through partial least square-structural equation modeling. The findings discovered that SMMAs significantly strengthen the relationship quality factors, such as commitment, trust, and satisfaction, which in turn positively increase consumer online repurchase intentions in China’s e-commerce industry. This is novel research that contributes to the S-O-R theory and provides several managerial guidelines that assist managers in improving their business performance in the e-commerce industry. This research also highlighted some limitations. (shrink)

Cet article s’attache à définir la nation, en Afrique, par la notion de « révolution », c’est-à-dire d’une transformation totale de conditions anciennes – aussi bien précoloniales que coloniales – en vue de fonder des structures nationales progressistes et démocratiques. Usant de l’exemple des pays du Sahel, en particulier le Burkina Faso, le Mali et le Niger, l’article analyse cette révolution nationale comme un phénomène de cycle long, qui se déploie dans une contradiction entre un leadership politique de moins en (...) moins en adéquation avec elle, et des peuples de plus en plus conscients et exigeants quant à leurs droits civiques. Cette contradiction est par ailleurs déterminée différemment par les problèmes politiques propres au cadre urbain et au cadre rural. Elle aboutit à des luttes et contestations opposant peuples et élites qui indiquent que, si la révolution nationale est loin d’être accomplie, elle n’a pas non plus simplement avorté. (shrink)

Starting with two supercompact cardinals we produce a generic extension of the universe in which a principle that we call GM+ holds. This principle implies ISP and ISP, and hence th...

Lincoln and Guba provided some principles and four evaluative criteria called “trustworthiness” to guide social science research naturalistically. However, drawing on Science and Technology Studies (STS) literature, a field engaged with methods and practices of science for several decades, one can argue that this approach is not still fully naturalistic. In this paper, we review Lincoln and Guba’s four criteria of trustworthiness from an STS perspective. We argue that the STS literature can challenge these criteria, but at the same time (...) they have the potential to be reconstructed with the help of the materials STS provides. (shrink)

Optimization by definition is the action of making most effective or the best use of a resource or situation and that is required almost in every field of engineering. In this work, the optimization of Least Mean square (LMS) algorithm is carried out with the help of Particle Swarm Optimization (PSO) and Ant Colony Optimization (ACO). Efforts have been made to find out the advantages and disadvantages of combining gradient based (LMS) algorithm with Swarm Intelligence SI (ACO, PSO). This optimization (...) of LMS algorithm will help us in further extending the uses of adaptive filtering to the system having multi-model error surface that is still a gray area of adaptive filtering. Because the available version of LMS algorithm that plays an important role in adaptive filtering is a gradient based algorithm, that get stuck at the local minima of system with multi-model error surface considering it global minima, resulting in an non-optimized convergence. By virtue of the proposed method we have got a profound solution for the problem associated with system with multimodal error surface. The results depict significant improvements in the performance and displayed fast convergence rate, rather stucking at local minima. Both the SI techniques displayed their own advantage and can be separately combined with LMS algorithm for adaptive filtering. This optimization of LMS algorithm will further help to resolve serious interference and noise issues and holds a very important application in the field of biomedical science. (shrink)

The concept of the ‘material’ was the focus of much feminist work in the 1970s. It has always been a deeply contested one, even for feminists working within a broadly materialist paradigm of the social. Materialist feminists stretched the concept of the material beyond the narrowly economic in their attempts to develop a social ontology of gender and sexuality.Nonetheless, the quality of the social asserted by an expanded sense of thematerial – its ‘materiality’ – remains ambiguous. New terminologies of materiality (...) and materialization have been developed within post-structuralist feminist thought and the literature on embodiment. The quality of ‘materiality’ is no longer asserted – as inmaterialist feminisms – but is problematized through an implicit deferral of ontology in these more contemporary usages, forcing us to interrogate the limits of both materialist and post-structuralist forms of constructionism. What really matters is how these newer terminologies of ‘materiality’ and ‘materialization’ induce us to develop a fuller social ontology of gender and sexuality; one that weaves together social, cultural, experiential and embodied practices. (shrink)

The Theme. Strong forcing axioms like Martin’s Maximum give a reasonably satisfactory structural analysis of $H(\omega _2)$. A broad program in modern Set Theory is searching for strong forcing axioms beyond $\omega _1$. In other words, one would like to figure out the structural properties of taller initial segments of the universe. However, the classical techniques of forcing iterations seem unable to bypass the obstacles, as the resulting forcings axioms beyond $\omega _1$ have not thus far been strong enough! However, (...) with his celebrated work on generalised side conditions, I. Neeman introduced us to a novel paradigm to iterate forcings. In particular, he could, among other things, reprove the consistency of the Proper Forcing Axiom using an iterated forcing with finite supports. In 2015, using his technology of virtual models, Veličković built up an iteration of semi-proper forcings with finite supports, hence reproving the consistency of Martin’s Maximum, an achievement leading to the notion of a virtual model.In this thesis, we are interested in constructing forcing notions with finitely many virtual models as side conditions to preserve three uncountable cardinals. The thesis constitutes six chapters and three appendices that amount to 118 pages, where Section 1 is devoted to preliminaries, and Section 2 is a warm-up about the scaffolding poset of a proper forcing. In Section 3, we present the general theory of virtual models in the context of forcing with sets of models of two types, where we, e.g., define the “meet” between two virtual models and prove its properties.The main results are joint with Boban Veličković, and partly appeared in Guessing models and the approachability ideal, J. Math. Log. 21 (2021).Pure Side Conditions. In Section 4, we use two types of virtual models (countable and large non-transitive ones induced by a supercompact cardinal, which we call Magidor models) to construct our forcing with pure side conditions. The forcing covertly uses a third type of models that are transitive. We also add decorations to the conditions to add many clubs in the generic $\omega _2$. In contrast to Neeman’s method, we do not have a single chain, but $\alpha $ -chains, for an ordinal $\alpha $ with $V_\alpha \prec V_\lambda $. Thus, starting from suitable large cardinals $\kappa <\lambda $, we construct a forcing notion whose conditions are finite sets of virtual models described earlier. The forcing is strongly proper, preserves $\kappa $, and has the $\lambda $ -Knaster property. The relevant quotients of the forcing are strongly proper, which helps us prove strong guessing model principles. The construction is generalisable to a ${<}\mu $ -closed forcing, for any given cardinal $\mu $ with $\mu ^{<\mu }=\mu <\kappa $.The Iteration Theorem. In Section 5, we use the forcing with pure side conditions to iterate a subclass of proper and $\aleph _2$ -c.c. forcings and obtain a forcing axiom at the level of $\aleph _2$. The iterable class is closely related to Asperó–Mota’s forcing axiom for finitely proper forcings.Guessing Model Principles. Section 6 encompasses the main parts of the thesis. We prove the consistency of the guessing principle $\mathrm {GMP}^+(\omega _3,\omega _1)$ that states for any cardinal ${\theta \geq \omega _3}$, the set of $\aleph _2$ -sized elementary submodels M of $H(\theta )$, which are the union of an $\omega _1$ -continuous $\in $ -chain of $\omega _1$ -guessing, I.C. models is stationary in $\mathcal P_{\omega _3}(H(\theta ))$. The consistency and consequences of this principle are demonstrated in the following diagram. We also prove that one can obtain the above guessing models in a way that the $\omega _1$ -sized $\omega _1$ -guessing models remain $\omega _1$ -guessing model in any outer transitive model with the same $\omega _1$, and we denote this principle by $\rm{SGMP}^+(\omega_3,\omega_1)$.In the following diagram, $\mathrm{TP}$ stands for the tree property; $w\mathrm{KH}$ stands for the weak Kurepa Hypothesis; $\mathrm{MP}$ stands for Mitchell property, i.e., the approachability ideal is trivial modulo the nonstationary ideal; $\mathrm{AP}$ stands for the approachability property; $\mathrm {AMTP}(\kappa ^+)$ states that if $2^\kappa <\aleph _{\kappa ^+}$, then every forcing which adds a new subset of $\kappa ^+$ whose initial segments are in the ground model, collapses some cardinal $\leq 2^{\kappa }$. The dotted arrow denotes the relative consistency, while others are logical implications.Appendices. Appendix A includes merely the above diagram. Appendix B presents a proof of the Mapping Reflection Principle with finite conditions under $\mathrm {PFA}$. Appendix C contains open problems. Finally, the thesis’s bibliography consists of 42 items.Abstract prepared by Rahman MohammadpourE-mail: [email protected]: https://theses.hal.science/tel-03209264. (shrink)