The Paradox of the Infinite Circle

9/25/2007

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Wikipedia image


Nicolaus Cusanus (1401-1464) was a philosopher,
mathematician, astronomer and Church Cardinal

he is widely considered to be one of the greatest
thinkers of 15th century

amongst his achievements is a mathematical paradox
known as The Infinite Circle

the paradox can be stated as follows:

as the diameter of a circle increases, the curvature
of a given length of its circumference decreases

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and from this it follows that a circle as large as the
Earth would seem to have no curvature, it would
seem to be a straight line;

and a circle of infinite size would have no curvature
at all, it would be a straight line

PonderAbout that!


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