[expatpat]

.....there are errors in kind too where Newton would predict zero effect but Einstein predicts non-zero and in such a case the error is infinite.

This is not a reasonable way for a physicist to look at it. Newtons's result for the classical equation of motion is regarded as a limiting value of the Einstein result from special relativity. In other words, it is the value of the special-relativity equation of motion in the limit of v/c going to zero. There is no 'infinite error'.

[edsheppa]

This is not a reasonable way for a physicist to look at it.

Well, it seems reasonable to me but then I'm not a physicist - probably a good thing.