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@@ -660,10 +660,10 @@ In the Lambdoma, Barbara Hero also sees the image of Georg Cantor's transfinite set of rational numbers ℚ, which Cantor proved <i>countably</i> - infinite. Consider that while there are infinitely many natural + infinite. Consider that although there are infinitely many natural numbers, we may count our way up to each one, starting from 1. Similarly, we can count the cells in a Lambdoma in a snake-like - pattern starting from 1:1, and thus map all of the rationals to the + pattern starting from 1:1, moving outward diagonally, and thus map all of the rationals to the natural numbers. Though there are infinitely many rational numbers, by their nature they are discrete, countable, and not completely dense. Between any two rational numbers, there lies an uncountable continuity |