To answer your last question first because it requires no discussion, here are primary links where you can read up on information theory and molecular biology and Shannon's mathematical theory of communications:
Returning to the "quantizing the continuum" discussion....
In order to know we had a successful theory we needed a starting point and an ending point - what is non-life and what is life. The theory itself would address all the grey scales in between.
That is where the fallacy of quantizing the continuum killed the investigation - and, as far as I'm concerned, all such investigations. Thus I now consider all theories of abiogenesis trash - there can be no such theory if science refuses to accept a clear definition of life, non-life and death.
The corrolary is this: to whatever extent the correspondents apply the fallacy to abiogenesis, it must also be applied to all other theory including evolution. And as you know the entire theory of evolution is a construct of a continuum of life based on a quantization of another continuum, the geologic record.
It is a poison pill - not to Intelligent Design but to Evolution theory as well as abiogenesis, where it is most obvious.
Works for me. I have no need for strict and unambiguous delineation of such things. Discarding them will make the discussion more rigorous and better grounded in physical reality.