Paul
Posts:
676
Registered:
7/12/10


Re: Surprise at my failure to resolve an issue in an elementary paper by Rado
Posted:
Nov 6, 2013 8:19 AM


On Wednesday, November 6, 2013 12:10:46 AM UTC, David Hartley wrote: ... > Firstly he hasn't actually defined Lcanonical, only Lcanonical on B, > > presumably he means here Lcanonical on A....
Despite the greater clarity, after further reflection, I'm not sure that your suggested replacement of "Lcanonical" by "Lcanonical on A" improves the paper. As written, it reinforces the trivial point which needs to be internalised by the reader, that Lcanonicity on A is equivalent to Lcanonicity on every subset of A. Of course, he could have spelled out these points but that would have added to the length of the paper. The phrase "Lcanonical" suggests to the reader that it's always canonical no matter what the subset is, so that actually seems like better terminology than "Lcanonical on A." I look forward to finally digesting the paper.
Thank you,
Paul Epstein

