In article <yrydnX_FwfczULTWnZ2dnUVZ_vmdnZ2d@giganews.com> "K_h" <KHolmes@SX729.com> writes: ... > lim(n ->oo) n = N is true for the standard definition of > natural numbers using just the wikipedia definitions for the > limit of a sequence of sets.
But not with Zermelo's definition of the natural numbers. Nor when we take the natural numbers as embedded in the rational numbers.
In my opinion, applying limits for sequences of sets when having sequences of numbers can be thoroughly misleading. -- dik t. winter, cwi, science park 123, 1098 xg amsterdam, nederland, +31205924131 home: bovenover 215, 1025 jn amsterdam, nederland; http://www.cwi.nl/~dik/