Combining Texts

Ideas for 'Mahaprajnaparamitashastra', 'A World of Propensities' and 'Dialogue on human freedom and origin of evil'

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6. Mathematics / A. Nature of Mathematics / 2. Geometry

13163	Circles must be bounded, so cannot be infinite [Leibniz]
	Full Idea: An infinite circle is impossible, since any circle is bounded by its circumference.
	From: Gottfried Leibniz (Dialogue on human freedom and origin of evil [1695], p.114)
	A reaction: This is interesting if one is asking what the essence of a circle must be. If is tempting to say merely that the radii must be equal, but can they have the length of some vast transfinite number? The circumference must be 2π bigger.