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**To**:*math-font-discuss@cogs.susx.ac.uk***Subject**:**the Powerset Symbol****From**:*Justin Ziegler <ziegler@goofy.zdv.uni-mainz.de>***Date**: Thu, 19 Aug 1993 12:00:43 +0000

In message <AA24435.9308170941.ws-csm3@uk.ac.durham> you write: > >I have done some more research on the powerset question. This is a rough >representation of the symbol I have in mind, which I will call "open P": > > XXXXXXXXXXX > XXXXXXXX XXXX > XXXXX XXXX > XXXXX XXXX > XXXXXXXX XXXX > XXX XXX XX > XX XXXXXXX XXXXXX > XX XXXXXXXXXXXX > XX XXXX > XX XXXX > XX XXXX > XX XXXX > XXXX XXXX > XXXX XXXX > XXXX XXXX > XXXXXX > >(This ascii representation assumes a 2:1 aspect ratio on your terminal!) >(Imagine it drawn with a single smooth stroke of the pen). > >The following books use the open P for powerset: > >R.R.Stoll "Set theory and Logic", W.H.Freeman & Co, 1961,1963, P.11 > >P.Suppes "Axiomatic Set Theory", D.Van Nostrand Co, 1960 > > >The following use a script P (similar to the one in Ralph Smith's Formal >Script font, rsfs10): > >B.Rotman & G.T.Kneebone "The Theory of Sets and Transfinite Numbers", >Oldbourne, 1966, P.46 > >H.Rubin & J.Rubin "Equivalents of the Axiom of Choice", North Holland, 1963 > (of course, this is confusing if you want to use script letters for classes) > > >I have also seen a "blackboard bold P" used for this purpose. > > >I hope this is of some value. > so we have quite a few references for the powerset symbol. If include it, it will go next to the \wr, and the \ell, ei latin friends. Is that OK? Second question: should I include it at all ? Is it not just an other style of the \wr, or just a script P or p, or cursive P or p ? in which case it lives in the corresponding alphabet ? JZ Ps: this is the type of question I like to have more than one answer, so that I can get an idea of what people think.

**Follow-Ups**:**Re: the Powerset Symbol***From:*bbeeton <BNB@MATH.AMS.ORG>

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