ouch. and i thought the germans and english were bad (grin).
ehich lead to my Father's comment: Never play with a BB gun ... May I recommend my own satement of Russell's paradox Resoled (also on Author's Den among other mu/sings): ---- *Russell's Paradox Resolved**<http://www.authorsden.com/visit/author.asp?AuthorID=25324> * Wednesday, February 16, 2005 ** * * Russell's Paradox is in fact resolved by Stanislaw Lesniewski, of the Polish School of Logic. See his works at UNC Chapel Hill, Notre Dame, or the Polish School of Logic. It is also the case that Godel's Theorem, while correct, is badly misinterpreted. The law of the excluded middle is a theorem, and context sensitive languages CAN be consistent AND complete. Russell's Paradox is not a paradox at the verge of the empty set or the edge of the categorical; a statement may be interpreted as either true _or_ false if the set of objects involved is in fact empty at all times within the domain of discussion. Can it be both if the set of objects is in fact not empty? One weakness of modern Godel axiomatic R&W context free language based mathematics is that it is difficult to talk about subjects where this may be in fact true , or at least not either one or the other until you look. Modern physics talks about quantum unit bits, superposition, and Schroedinger's Qat being neither dead nor alive until someone looks to see. Would it not be much easier just to say that a thing might indeed be both true and false (as well as neither true nor false) all at the same time? George Spencer-Brown would laugh at the difficulties we are having with this simple elementary concept... ------------------------------ *Russell's paradox* *De Facto * *A paradox is not a paradox * * * * In re, 're in re' is 're isn't in re' * * * *The thing about things is * * that some things are things * * that are not all the things they are * *And if that thing is so * * then if some thing is the thing that is the 'in' * * in that thing and also is and isn't in that 'in' * * in that thing * *then the thing that is and isn't that thing that's in that thing * * that is no thing, is no thing and is all the things there is * * in that thing. * *And that is so, and is not so * * when then, what is so is also not so * * And only then when what's so is not what's so * * (is what's so not so) * *And that is so * *AND that's not so * *If so (Fact, though). * * * *I say it's so * *Ipse, ipso * *And so I say * *Ipso, ipse * * Is that so? * * Yes or no? * *That THAT that, oh ho * *is so (it's so!) * *an if so, facto. ... * ---- Noting the presence of paths leading through what should be fixed based empty categoricals that in turn are seldom analyzed or letrified or _accounted_ as alwys BeiNG eversomuchmoreso alays empty, leds to a tremendouly wide variety of analysis faiures in programs, leding to temendous number of failures of programs to work correctly, becuse of the prsene of original amnalysis and design errors leadng to such failures. which is why the undefined value in J is so important. It corresponds roughly to the Aisan concept of yes, no, _mu_: The answr lies outside the bounds of the discussion or limits of the categories provided. which may be the single most prolific source of errors in modern Wester science, philosophy, _AND_ faith. When you presume you cannot get it wrong withoutever squrly facing that is what is being done, you get hung by your own Petard. Continuously. Same in Mathematics and J as wll as any plac ele. I is just he case hat I sense a little bit less of the opportunity fo this error in J and a little bit less of the _practie_ of it by the prcticioners of J, than in alot of other "scientific" and "mathematical" arenas I have seen,. May it ever be on the improvement: if not, likely the apostate wil be in effect. Cheers. On 6/14/06, Björn Helgason <[EMAIL PROTECTED]> wrote:
bb +. -. bb =. ? 2006/6/14, Roy A. Crabtree <[EMAIL PROTECTED]>: > > > 2b or not 2b, that is the kvetching ... > -- Björn Helgason, Verkfræðingur Fugl&Fiskur ehf, Þerneyjarsund 23, Skype: gosiminn, gsm: +3546985532 801 Grímsnes ,t-póst: [EMAIL PROTECTED] Landslags og skrúðgarðagerð, gröfuþjónusta http://groups.google.com/group/J-Programming Tæknikunnátta höndlar hið flókna, sköpunargáfa er meistari einfaldleikans góður kennari getur stigið á tær án þess að glansinn fari af skónum /|_ .-----------------------------------. ,' .\ / | Með léttri lund verður | ,--' _,' | Dagurinn í dag | / / | Enn betri en gærdagurinn | ( -. | `-----------------------------------' | ) | (\_ _/) (`-. '--.) (='.'=) `. )----' (")_(") ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm
-- -- Roy A. Crabtree UNC '76 gaa.lifer#11086 Room 207 Studio Plus 123 East McCullough Drive Charlotte, NC 28262-3306 336-340-1304 (office/home/cell/vmail) 704-510-0108x7404 (voicemail residence) [EMAIL PROTECTED] [EMAIL PROTECTED] [EMAIL PROTECTED] http://www.authorsden.com/royacrabtree http://skyscraper.fortunecity.com/activex/720/resume/full.doc -- (c) RAC/IP, ARE,PRO,PAST (Copyright) Roy Andrew Crabtree/In Perpetuity All Rights/Reserved Explicitly Public Reuse Only Profits Always Safe Traded ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm
