09/04/2016, 08:29 PM
To clarity a bit on those taylors.
Consider the set of unreduced positive fractions.
This has card w^2. Or ordinal w^2 if you want.
Now consider those positive fractions a/b.
G(x) = x + 1/x.
Now the cardinality ( resp ordinal ) of g(a/b) is clearly equal to w^2 / 2 or card ( w^2 / 2 ).
Although both are countable , this justifies the Taylor series.
( + is just adding elements or cardinalities )
Regards
Tommy1729
Consider the set of unreduced positive fractions.
This has card w^2. Or ordinal w^2 if you want.
Now consider those positive fractions a/b.
G(x) = x + 1/x.
Now the cardinality ( resp ordinal ) of g(a/b) is clearly equal to w^2 / 2 or card ( w^2 / 2 ).
Although both are countable , this justifies the Taylor series.
( + is just adding elements or cardinalities )
Regards
Tommy1729
