robert dockins wrote:

Assign finite completely defined lists their usual lengths, and every
_|_ terminated or infinite list, length w.


So every infinite object has a special length denoted "w". I assume we wish to make the following statements about "w"

w = w
~(w < w)

Without which "=" and "<" fail to have their intended meaning.

I don't know what's 'your' intended meaning of the length of an infinite list, but I don't think you can prove or assume that ~(w<w)

5 < 6
6 < 7
... go to aleph0.

Jerzy Karczmarczuk
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