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 The Traditional Way to Learn Mathematics: A Mountain, then No Mountain, and then a Mountain Again
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Monthly Archives: October 2012
Circular Euclidian Geometry: Overlooked Creativity
——— Solutions to the Paradox Problems: 1. There is still more space to fill. Assign all individuals currently residing in the hotel to even hotel room numbers. Assign all individuals who have arrived at the hotel to odd hotel room … Continue reading
Logical Reasoning: To Infinity and Beyond
“Logic is not a body of doctrine, but a mirrorimage of the world. Logic is transcendental.” — Ludwig Wittgenstein ——— Some scholars argue that mathematics is the fundamental language: That it is both universal and scientific. “One does not understand anything … Continue reading
Fractal Geometry: Mathematics of the Future (Part II)
“Fractal geometry will make you see everything differently. There is a danger in reading further. You risk the loss of your childhood vision of clouds, forests, flowers, galaxies, leaves, feathers, rocks, mountains, torrents of water, carpet, bricks, and much else … Continue reading
Fractal Geometry: Mathematics of the Future (Part I)
“Why is geometry often described as ‘cold’ and ‘dry?’ One reason lies in its inability to describe the shape of a cloud, a mountain, a coastline, or a tree. Clouds are not spheres, mountains are not cones, coastlines are not … Continue reading