Pattanaik and Peleg's 'Regularity' is not be

[Craig Carey]

>You need to couch any disproof of regularity's usefulness in a
>probabilistic formalism- that is, you have to actually consider
>probabilistic, not deterministic functions.

The statment made there appears to be ill formed.
What does this mean:
 (1) "You need" [1 word proof],
 (2) "couch" [means be imprecise?, and excludes the 2 candidate
      FPTP formula "aw=True <==> 1=Prob(aw=True)": no need to fold
      that little formula in a collapsing couch],
 (3) "regularity" [the single definition defined in two places],
 (4) "usefulness" [that excludes methods like STV and FPTP since
      not probabilistic, but 2 candidate FPTP is included given that it
      can be probabilistic. Would a useful method applied to only 3
      papers: AB, B, C;  have a broken divide between B & C wins
      regions?. Regularity is not useful]
 (5) "you have to" [Why should readers have to construct a couched
      proof of an absence of a disproof of a not-useful [regularity
      compliant and probabilistic] useful idea?],
 (6) "functions" [The functions in Catchpole Regularity never got
      defined. Mr Catchpole conceded that that was true.].


> . . . . . . . . . . . . . . . . . . . . . A good start would be to rock
>on down to wherever and pick up books on-
...

A strange aspect to Mr Catchpole's evasive illusion of many seemingly
 totally invalid and unexplained assertions, and the assesing of
 methods by considering FPTP dictators analogues ... is how the
 definition of "regularity" seemed to never rise to a significance that
 it actually precisely referred to in the lengthy commentray about it.

Some definitions are obviously right until others prove them false?.

Mr Catchpole expositions have closed the stone lid on another field of
 knowledge, and there is a need now as never before for advances in
 voting theory.

The azure blue bird flew to the east, after the setting sun, as five
 truth religious truth seekers walked [one way or the other]. A special
 acknowledgement to the silent readers who never write.


Craig Carey