Results 41 to 50 of about 101,961 (306)
Non-Euclidean Geometry in the Encyclopædia Britannica [PDF]
Science, 1912 n ...
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Nature, 1911 As many mathematicians give very little thought to the theory of sets, it is perhaps worth while dwelling for moment on Dr. Sommerville's possibly misleading remarks in NATURE of October 5. He, quite correctly, points out the one-one correspondence between the aggregates of integral numbers 1, 2, 3, &c. (n), and even numbers 2, 4, 6, &c. (2n). Thus the
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Designing digital technologies and learning activities for different geometries
, 2009 This chapter focuses on digital technologies and geometry education, a combination of topics that provides a suitable avenue for analysing closely the issues and challenges involved in designing and utilizing digital technologies for learning mathematics.
Ian Stevenson +5 more
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Nature, 1943 THE philosopher Kant declared that Euclidean geometry was inherent in the human mind and expressed the truth about space. We now recognize that non-Euclidean geometry is equally valid as an abstract system, and that one particular form (due to Riemann) has more claim than Euclidean geometry to represent the properties of physical space.
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Toth e il pensiero trans-euclideo in Aristotele (Toth and trans-euclidean thought in Aristotle)
Science & PhilosophyFor about 2000 years the postulate of parallels, enunciated by Euclid, was a source of doubts (postulate or theorem?) clarified with the birth of non-Euclidean geometry.
Nicola Umberto Animobono
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After Non-Euclidean Geometry: Intuition, Truth and the Autonomy of Mathematics
Journal for the History of Analytical Philosophy, 2018 The mathematical developments of the 19th century seemed to undermine Kant’s philosophy. Non-Euclidean geometries challenged Kant’s view that there is a spatial intuition rich enough to yield the truth of Euclidean geometry.
Janet Folina
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The geometry of visual experience [PDF]
, 2007 In this thesis I examine what the geometry of visual experience is. This is a question which to some has had an a priori answer, and to some its relevance to philosophy has been considered questionable.
Meadows, Phillip
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Quadratic Hamiltonians on non-Euclidean spaces of arbitrary constant curvature
, 2013 This paper derives explicit solutions for Riemannian and sub-Riemannian curves on non-Euclidean spaces of arbitrary constant cross-sectional curvature.
Biggs, James +2 more
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Fostering Innovation: Streamlining Magnetocaloric Materials Research by Digitalization
Advanced Engineering Materials, EarlyView.Magnetocaloric cooling (MCE) is an environmentally friendly refrigeration method with great potential. Optimizing MCE materials involves the preparation and screening of large quantities of samples, which in turn generates a large amount of data. A digitalization approach is presented that uses ontologies, knowledge graphs, and digital workflows to ...
Simon Bekemeier +17 more
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An Overview of Existing Problems in Teaching the Science ”Fundamentals of Geometry”
International Journal of Social Sciences & Educational StudiesThis paper goes into the challenges faced in the teaching of geometry, emphasizing its foundational principles. It investigates an alternate viewpoint by relating geometric principles to verses from the Holy Quran, implying that geometric conceptions ...
Safarov Tulqin Nazarovich +1 more
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