On Topology

2013 ◽  
Vol 30 (5) ◽  
pp. 122-152 ◽  
Author(s):  
John W.P. Phillips

Recent arguments asserting a topological turn in culture also identify a range of topologically informed interventions in social and cultural theory. Talk of a topological turn evokes both the enduring interest that the field of mathematics presents and the business of analysis in the cultural sphere. This article questions the novelty of this ‘becoming topological of culture’ and digs into a deeper historicity in order to identify the trends that may be said to support the development of topology in the current situation. It also examines the relationship between mathematics considered ontologically (philosophy of mathematics) and mathematics considered epistemologically (as a methodological practice of knowledge), in order to better grasp the significance of the practical abstractions that mathematics as technics (or cultural topology) manifests. Discussions of Cantor, Russell, Poincaré, Lévi-Strauss, Lacan and others address the background of contemporary mathematical topology. The article goes on to examine Alain Badiou’s principle that mathematics is ontology and concludes with a discussion of the mathematics of Martin Heidegger.

Sepren ◽  
2021 ◽  
Vol 2 (2) ◽  
pp. 17-22
Author(s):  
Robin Tarigan

Philosophy of mathematics does not add a number of new mathematical theorems or theories, so a philosophy of mathematics is not mathematics. The philosophy of mathematics is an area of ​​reflection about mathematics. After studying for a long time, one needs to reflect on learning outcomes by reflecting on the philosophy of mathematics. Mathematics and philosophy are closely related, compared to other sciences. The reason is that philosophy is the base for studying science and mathematics is the mother of all sciences. There are also those who think that philosophy and mathematics are the mother of all existing knowledge. From a historical perspective, the relationship between philosophy and mathematics underwent a very striking development. This article discusses the development of mathematics in philosophy and the flow of formalism contained in the philosophy of mathematics in particular


What is the relationship between ontology and modality: between what there is, and what there could be, must be, or might have been? Throughout a distinguished career, Bob Hale’s work has addressed this question on a number of fronts, through the development of a Fregean approach to ontology, an essentialist theory of modality, and in his work on neo-logicism in the philosophy of mathematics. This collection of new essays engages with these themes in Hale’s work in order to make further progress in our understanding of ontology, modality, and the relations between them. Some essays directly address questions in modal metaphysics, drawing on ontological concerns. Others raise questions in modal epistemology and its links to matters of ontology, such as the challenge to give an epistemology of essence. There are also several essays engaging with questions of what might be called ‘modal ontology’: the study of whether and what things exist necessarily or contingently. Such issues can be raised and addressed directly, but they also have an important bearing on the kinds of semantic commitments engendered in logic and mathematics, e.g., to the existence of sets, or numbers, or properties, and so on. It is thus explored in some chapters to what extent one’s ontology—and indeed, one’s ontology of necessary beings—interacts with other plausible assumptions and commitments.


2016 ◽  
Vol 15 (2) ◽  
pp. 55-65 ◽  
Author(s):  
Lonneke Dubbelt ◽  
Sonja Rispens ◽  
Evangelia Demerouti

Abstract. Women have a minority position within science, technology, engineering, and mathematics and, consequently, are likely to face more adversities at work. This diary study takes a look at a facilitating factor for women’s research performance within academia: daily work engagement. We examined the moderating effect of gender on the relationship between two behaviors (i.e., daily networking and time control) and daily work engagement, as well as its effect on the relationship between daily work engagement and performance measures (i.e., number of publications). Results suggest that daily networking and time control cultivate men’s work engagement, but daily work engagement is beneficial for the number of publications of women. The findings highlight the importance of work engagement in facilitating the performance of women in minority positions.


2014 ◽  
Vol 2014 (1) ◽  
pp. 205-216
Author(s):  
Ales Novák

In the late 1950sHeidegger revived the notion of the ,ontological difference‘, which he considered to be the constitution for the meaning of both ,being‘ (Sein) and the ,entity‘ (Seiendes). The unifying process of this constitution bore the name ,discharge‘ (Austrag) and expressed the dynamic, static, and generic features of ,being‘. But even this new description means only the designation for the primordial unconcealedness (Unverborgenheit), which according to Heidegger is the ,matter of thinking‘ (Sache des Denkens). And again, Heidegger brings just another notion to express that the ,nearness‘ as the comprising meaning of presence (Anwesen) is the true name for ,world‘. Thus, Heideggers notions for ,being‘ as presence, ,staying dwelling‘, ,enowing‘ (Ereignis), and ,discharge‘ speak about his turning away from thinking of ,being‘(ontology) and his turning towards ,topology‘, where the relationship of ,world and thing‘ is preferred to the ,ontological difference‘ between ,being‘ and the ,entity‘.


Author(s):  
Alberto Quílez-Robres ◽  
Nieves Moyano ◽  
Alejandra Cortés-Pascual

Academic achievement has been linked to executive functions. However, it is necessary to clarify the different predictive role that executive functions have on general and specific academic achievement and to determine the most predictive executive factor of this academic achievement. The relationship and predictive role between executive functions and their components (initiative, working memory, task monitoring, organization of materials, flexibility, emotional control, inhibition, self-monitoring) with academic achievement are analyzed in this study, both globally and specifically in the areas of Language Arts and Mathematics, in 133 students from 6 to 9 years of age. The relationship obtained in Pearson’s correlation analysis does not differ substantially between overall achievement (r = 0.392) and specific achievement (r = 0.361, r = 0.361), but task monitoring (r = 0.531, r = 0.455, r = 0.446) and working memory (r = 0.512, r = 0.475, r = 0.505) had a greater relationship with general and specific achievement. Finally, regression analyses based on correlation results indicate that executive functions predict general academic performance (14.7%) and specific performance (12.3%, 12.2%) for Language Arts and Mathematics, respectively. Furthermore, working memory and task supervision represent 32.5% of general academic performance, 25.5% of performance in Language Arts, and 27.1% of performance in Mathematics. In conclusion, this study yielded exploratory data on the possible executive functions (task supervision and working memory) responsible for good general academic achievements and specific academic achievements in Mathematics and Language Arts.


Genus ◽  
2021 ◽  
Vol 77 (1) ◽  
Author(s):  
Andrea Priulla ◽  
Nicoletta D’Angelo ◽  
Massimo Attanasio

AbstractThis paper investigates gender differences in university performances in Science, Technology, Engineering and Mathematics (STEM) courses in Italy, proposing a novel application through the segmented regression models. The analysis concerns freshmen students enrolled at a 3-year STEM degree in Italian universities in the last decade, with a focus on the relationship between the number of university credits earned during the first year (a good predictor of the regularity of the career) and the probability of getting the bachelor degree within 4 years. Data is provided by the Italian Ministry of University and Research (MIUR). Our analysis confirms that first-year performance is strongly correlated to obtaining a degree within 4 years. Furthermore, our findings show that gender differences vary among STEM courses, in accordance with the care-oriented and technical-oriented dichotomy. Males outperform females in mathematics, physics, chemistry and computer science, while females are slightly better than males in biology. In engineering, female performance seems to follow the male stream. Finally, accounting for other important covariates regarding students, we point out the importance of high school background and students’ demographic characteristics.


2020 ◽  
Vol 7 (1) ◽  
Author(s):  
Kaitlyn Atkins ◽  
Bryan M. Dougan ◽  
Michelle S. Dromgold-Sermen ◽  
Hannah Potter ◽  
Viji Sathy ◽  
...  

Abstract Background Mentorship has been well-established in the literature as fostering scientific identity and career pathways for underrepresented minority students in science, technology, engineering, and mathematics (STEM) fields. Mentorship is prioritized by programs that aim to increase diversity and support future leadership in STEM fields, but in-depth understanding of mentorship in these contexts remains limited. Drawing on qualitative interview data, we sought to understand the relationship between mentoring and scientific identity among a diverse sample of 24 students in one such program, in order to inform program development. Results Qualitative analysis of the data revealed that mentorship, especially research mentorship, was common and played a role in formation of scientific identity. Students with research mentors tended to say they strongly identified as scientists, whereas those who lacked research mentorship varied in their level of scientific identity. In interviews, research-mentored students described mentors as colleagues who gave them opportunities to grow and as examples to look up to. Students valued mentors with whom they identified on the basis of demographic similarity or shared values, as well as those who challenged them in their academic and research endeavors. Conclusions Our analysis highlights how different mentoring experiences can contribute to development of future STEM leadership. We discuss implications for practice, including the need for tailored mentoring approaches and research-focused mentoring, and offer several recommendations for research and programming.


Author(s):  
Mariam Adepeju Abdulraheem-Mustapha

Laws and policies have important roles to play in advancing the Fourth Industrial Revolution (4IR) through Science, Technology, Engineering and Mathematics (STEM) research in Nigeria. STEM education and knowledge brings about development by converging scholars across the world with recent research discoveries. In order for Nigeria to reap the maximum benefits from the 4IR, its legal system must come in line with the principles advanced by the 4IR. It is important to state that the laws which have been enacted before the contemporary era are inadequate and obsolete. Education (STEM education inclusive) which will benefit the most from thenewrevolution would demand new legal instrumentsthat are adequate and effective to cater for the legal and policy demands of the 4IR by bringing forth a more current and inclusive legal protection for all the relevant beneficiaries. Using doctrinal methodology, thispaperexamines4IR and right to education in Nigeria with a view to establishing the relationship between the legal instruments and STEM education with the objective of advancing the agenda of the relevance of all fields of education for the next generation.The paper is divided into six sections and the findings show that, education (STEM education inclusive) is bedeviled with many challenges andthe extant laws are inadequate to solve them.Thus, making the goal of 4IR unachievable in Nigeria. To reach the greatest dexterities in all works of life, the paper concludes by bringing the significance of laws and policies that wouldaccommodate free STEM education in secondary and tertiary school levels in order to answer the call for 4IR. It recommends research collaboration across STEM fields for integrated curriculum and an amendment of the Constitution. It also advocates for gender equality and investing more in STEM education for having a transformative shift in Nigeria for the purpose of achieving 4IR.


2018 ◽  
Vol 11 (6) ◽  
pp. 109
Author(s):  
Cengiz Erdik

The purpose of the present research is to determine the correlation between attitude and anxiety of seventh and eighth grade students toward mathematics course and behaviors of mathematics teachers to support and exhibit learner autonomy toward mathematics course. The population of the research was consisted of 1.563 students and 35 mathematics teachers from 22 schools. Research data was collected by means of Learner Autonomy Support Scale and Mathematics Course Attitude and Anxiety Scale. Conclusively, it was revealed that eighth grade students were more anxious, their anxiety levels and attitudes differed according to their success levels, and that they did not exhibit statistically significant difference according to their genders and teachers’ genders. It was determined that there is no statistically significant correlation between level of teachers’ support for learner autonomy and students’ anxiety and attitude levels toward mathematics course.


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