Concept explainers
Plugging up the north pole (ExH). What would happen if you filled in the north pole of the circle in the stereographic projection? Is there any point on the real line to which that extra point could correspond? Show that the cardinality of a circle is the same as the cardinality of (0, 1] (an interval where 0 is not included, but 1 is included).
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The Heart of Mathematics: An Invitation to Effective Thinking
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