Geometry, philosophical issues in

Author(s):  
T.A. Ryckman

The least abstract form of mathematics, geometry has, from the earliest Hellenic times, been accorded a curious position straddling empirical and exact science. Its standing as an empirical and approximate science stems from the practical pursuits of land surveying and measuring, from the prominence of visual aids (figures and constructions) in geometric proofs and, in the twentieth century, from Einstein’s General Theory of Relativity, which holds that the geometry of spacetime is dependent upon physical quantities. On the other hand, very early on, the symmetry and perfect regularity of certain geometric figures were taken as representative of a higher knowledge than that afforded by sense experience. And its concern with figures and constructions, rather than with number and calculation, rendered geometry amenable to axiomatic formulation and syllogistic deduction, establishing a paradigm of demonstrative knowledge which endured for two millennia. While the progress of mathematics has surmounted traditional distinctions between geometry and the mathematics of number, leaving only a heuristic role for geometric intuition, geometric thinking remains a vital component of mathematical cognition.

2020 ◽  
Author(s):  
Douglas Michael Snyder

Though Einstein and other physicists recognized the importance of an observer being at rest in an inertial reference frame for the special theory of relativity, the supporting psychological structures were not discussed much by physicists. On the other hand, Rock wrote of the factors involved in the perception of motion, including one’s own motion. Rock thus came to discuss issues of significance to relativity theory, apparently without any significant understanding of how his theory might be related to relativity theory. In this paper, connections between Rock’s theory on the perception of one’s own motion, as well as empirical work supporting it, and relativity theory are explored. Paper available at: https://arxiv.org/abs/physics/9908025v1 .


2019 ◽  
Vol 63 (1) ◽  
pp. 51-64
Author(s):  
Sara Nikolić

Abstract Colourful zigzags, arcade game motifs, geometric figures, pseudo-frames of windows and even infantile drawings of flora and fauna – those are just some of the visible symptoms of the aesthetical and urbanistic chaotic condition also known as Polish pasteloza. One of the most common readings is that the excuse of thermal insulation is being (ab)used in order to radically erase the urbanistic, cultural and political heritage of Polish People’s Republic (PPR) from the city landscape. On the other hand, inhabitants of ‘pastelized’ housing estates claim to be satisfied not only with the insulation but also with their role in decision-making processes. A sense of alienation from one’s home seems to have gone away, together with the centralized state administration, and it is being replaced by citizen participation. The possibility of vindication of pasteloza’s ‘crimes against aesthetics’ will be deliberated in this paper – in order to pave a path for more complex understanding of this phenomenon that could offer a solution for achieving a compromise between aesthetics and civic participation in post-transition processes.


Author(s):  
Wesley C. Salmon

Philosophy of science flourished in the twentieth century, partly as a result of extraordinary progress in the sciences themselves, but mainly because of the efforts of philosophers who were scientifically knowledgeable and who remained abreast of new scientific achievements. Hans Reichenbach was a pioneer in this philosophical development; he studied physics and mathematics in several of the great German scientific centres and later spent a number of years as a colleague of Einstein in Berlin. Early in his career he followed Kant, but later reacted against his philosophy, arguing that it was inconsistent with twentieth-century physics. Reichenbach was not only a philosopher of science, but also a scientific philosopher. He insisted that philosophy should adhere to the same standards of precision and rigour as the natural sciences. He unconditionally rejected speculative metaphysics and theology because their claims could not be substantiated either a priori, on the basis of logic and mathematics, or a posteriori, on the basis of sense-experience. In this respect he agreed with the logical positivists of the Vienna Circle, but because of other profound disagreements he was never actually a positivist. He was, instead, the leading member of the group of logical empiricists centred in Berlin. Although his writings span many subjects Reichenbach is best known for his work in two main areas: induction and probability, and the philosophy of space and time. In the former he developed a theory of probability and induction that contained his answer to Hume’s problem of the justification of induction. Because of his view that all our knowledge of the world is probabilistic, this work had fundamental epistemological significance. In philosophy of physics he offered epoch-making contributions to the foundations of the theory of relativity, undermining space and time as Kantian synthetic a priori categories.


2012 ◽  
Vol 17 (1) ◽  
pp. 139-144 ◽  
Author(s):  
Alessandra Page Brito ◽  
Celso Pereira Guimarães ◽  
Rosangela Alves Pereira

AbstractObjectiveTo evaluate the validity of food photographs used to support the reporting of food intake with an FFQ designed for adolescents from Rio de Janeiro, Brazil.DesignA set of ninety-five food photographs was elaborated. The photographs’ evaluation process included the acknowledgement of foods and portions in the pictures. In the identification of foods (ninety-five photographs) and typical portions (twelve photographs), the adolescents were requested to answer a structured questionnaire related to the food photographs. The identification of the portion size of amorphous foods (forty-three photographs) was performed using three different portion sizes of actual preparations. The proportions (and 95 % confidence intervals) of adolescents who correctly identified foods and portion size in each photograph were estimated.SettingA public school in Niterói, Rio de Janeiro State, Brazil.SubjectsSixty-two adolescents between 11·0 and 18·9 years old, randomly selected.ResultsAt least 90 % of adolescents correctly identified the food in ninety-two photographs and the food in the three remaining photographs was recognized by 80–89 % of the adolescents. At least 98 % of the adolescents correctly identified eleven typical or natural portions in the food photographs. For amorphous foods, at least 70 % of teenagers correctly identified the portion size in the photograph of thirty-one foods; for the other photographs, the portion size was correctly recognized by 50–69 % of the adolescents for eight foods and by less than 50 % of adolescents for four foods.ConclusionsThe analysed photographs are appropriate visual aids to the reporting of food consumption by adolescents.


2021 ◽  
Vol 5 (3) ◽  
pp. 121-138
Author(s):  
Wajid Ali ◽  

Allah (swt) has elevated man to the highest position in all creation, and bestwed upon him the bounty of reason and knowledge. An in depth study of knowledge itself reveals that, there are two forms and ranks of knowledge in the universe; one is the divinely revealed instintintive level of awareness about reality, and the other is the earned and learned behavoiur based upon knowledge, that is gained through urge, effort and experience. Human beings, apart from the innate divine blessing of knowledge, learns through sense experience, reason and intuitive thinking. The higher form of knowledge is divinely transmission through revelation to the Prophets. The heavenly revealed knowledge has been preserved by human being in the form of Sacred Books; especially a body of knowledge about reality in the form of religion, namely in the Holy Bible and the Holy Qur’an.


2019 ◽  
Vol 28 (02) ◽  
pp. 1950008
Author(s):  
Aleš Horák ◽  
Vít Baisa ◽  
Adam Rambousek ◽  
Vít Suchomel

This paper describes a new system for semi-automatically building, extending and managing a terminological thesaurus — a multilingual terminology dictionary enriched with relationships between the terms themselves to form a thesaurus. The system allows to radically enhance the workow of current terminology expert groups, where most of the editing decisions still come from introspection. The presented system supplements the lexicographic process with natural language processing techniques, which are seamlessly integrated to the thesaurus editing environment. The system’s methodology and the resulting thesaurus are closely connected to new domain corpora in the six languages involved. They are used for term usage examples as well as for the automatic extraction of new candidate terms. The terminological thesaurus is now accessible via a web-based application, which (a) presents rich detailed information on each term, (b) visualizes term relations, and (c) displays real-life usage examples of the term in the domain-related documents and in the context-based similar terms. Furthermore, the specialized corpora are used to detect candidate translations of terms from the central language (Czech) to the other languages (English, French, German, Russian and Slovak) as well as to detect broader Czech terms, which help to place new terms in the actual thesaurus hierarchy. This project has been realized as a terminological thesaurus of land surveying, but the presented tools and methodology are reusable for other terminology domains.


2014 ◽  
Vol 6 (2) ◽  
pp. 1202-1210
Author(s):  
Mostafa Mohamed Korany

The universe has two main dimensions spatial dimension (consists of three dimensions directional X, Y, Z) and the other dimension is the temporal dimension. Time and space are linked strongly inseparable so we will consider the time and place one Is the dimension of spacetime (as proved Einstein in his theory of relativity). Spacetime dimension includes the temporal dimension and spatial dimension (the three dimensions of space).  Spacetime dimension two (real spacetime – Vision spacetime).  Spacetime has two cases:    1- Navigate spacetime       2- The change in spacetime. spacetime is Personally like a fingerprint and it always variable ( everyone has Personally spacetime and there are not find two of spacetime are the same.


The present study aims to identify the level of using audio visual aids for teaching in Agriculture Faculty/ Mosul University and to determine the importance of the education methods and the educational tools utilized by the selected lecturers. The sample undergone for this study is 299 lecturers chosen randomly from 11 scientific departments at Mosul University. Accordingly, a questionnaire of four parts is designed to obtain the data for analysis. The results show that about 62.68% of teaching staff have used the audio visuals aids in their teaching methods and using educational computers come at the first. On the other hand, the graphic organizers and the audio-visual tools are very important, from the lecturers’ point of view, in teaching. The study also reveals some difficulties that the lecturers may encounter throughout using those aids. Moreover, this study shows that there are no differences between the users on one hand and their sex, education level and experience on the other hand. Hence, it is recommended that the users of those aids should be undergone for intensive training courses and workshops to enable them using these aids beside training them for advanced technology.


2020 ◽  
Vol 74 (4) ◽  
pp. 501-520
Author(s):  
J.E. Peterson

The term "tribe" has acquired a negative and often archaic connotation in much of the world. In the Arabian Peninsula, however, tribes are not relics of the past but a vital component of society exercising varying impacts on state policy. The concepts of "tribe in the state" and "tribe versus the state" are useful in explaining the range of relationships between tribes and states. Regional variations around the peninsula play a key role in determining the applicability of one concept over the other.


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