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