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Tag Archives: Henri Poincaré
Nonterminating decimals do not make sense.
The BanachTarski paradox proves how f#cked up the real numbers are. Logical peculiarities confuse our intuitions about “length”, “density”, “volume”, etc. within the continuum (ℝ) of nonterminating decimals. Which is why Measure Theory is a graduatelevel mathematics course. These peculiarities … Continue reading
Circles
A circle is made up of points equidistant from the center. But what does “equidistant” mean? Measuring distance implies a value judgment — for example, that moving to the left is just the same as moving to the right, moving forward … Continue reading
Posted in Uncategorized
Tagged angle, circle, education, geometry, Henri Poincaré, imagination, long reads, Lp norm, L_p norm, math, mathematics, maths, metric, metric spaces, metrics, noncommutative, norm, norms, Poincaré disk, size
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