Sandor Szathmari's Kazohinia: Mathematics and the Platonic Idea
نویسندگان
چکیده
منابع مشابه
Anti-Platonic Logic and Mathematics
In this paper, I show that we can absolutely eliminate notions of apriority (axioms, theorems) in symbolic logic and mathematics and build up formal theories using only notions of aposteriority. The new kind of logic and mathematics is said to be anti-Platonic. Both satisfy basic presuppositions of unconventional computing. 1. Platonism in Logic and Mathematics According to Platonism, mathemati...
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15 صفحه اولThe Platonic Solids
The tetrahedron, the cube, the octahedron, the dodecahedron, and the icosahedron. From a first glance, one immediately notices that the Platonic Solids exhibit remarkable symmetry. They are the only convex polyhedra for which the same same regular polygon is used for each face, and the same number of faces meet at each vertex. Their symmetries are aesthetically pleasing, like those of stones cu...
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If SO is a Riemann surface with a complete metric of finite area and constant curvature −1, let SC denote the conformal compactification of SO. We show that, under the assumption that the cusps of SO are large, there is a close relationship between the hyperbolic metrics on SO and SC . We use this relationship to show that lim infk→∞ λ1(Pk) ≥ 5/36, where the Platonic surface Pk is the conformal...
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ژورنال
عنوان ژورنال: Journal of Humanistic Mathematics
سال: 2019
ISSN: 2159-8118
DOI: 10.5642/jhummath.201901.03