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Conference 7.286::philosophy

Title:Philosophy
Notice:The Wurlitzer of Wisdom
Moderator:ERIS::LASKOMHEAD
Created:Wed Dec 31 1986
Last Modified:Mon Nov 18 1996
Last Successful Update:Fri Jun 06 1997
Number of topics:379
Total number of notes:9266

39.0. "INFINITY!!!!!!" by USRCV1::JEFFERSONL () Tue Jun 16 1987 09:15

T.RTitleUserPersonal
Name		DateLines
39.1?PROSE::WAJENBERGTue Jun 16 1987 13:215
39.2REFLEXTION THAT HAS NO ENDUSRCV1::JEFFERSONLTue Jun 16 1987 15:1917
39.3Time Traveller gets reincarnated?HPSCAD::DDOUCETTECommon Sense Rules!Tue Jun 16 1987 16:175
39.4I'm Not the Man I WasPROSE::WAJENBERGTue Jun 16 1987 16:3411
39.5INFINITE CRYUSRCV1::JEFFERSONLSATAN I BIND YOU, IN JESUS NAME!!Wed Jun 17 1987 12:097
39.6Not Infinite, Just IntolerablePROSE::WAJENBERGWed Jun 17 1987 13:317
39.7Infinite AmusementsPROSE::WAJENBERGTue Jul 14 1987 15:5850
39.8Infinite SetsPROSE::WAJENBERGWed Jul 22 1987 11:4872
39.9Rational Numbers and Cantor's SnakePROSE::WAJENBERGWed Jul 22 1987 11:5353
39.10The Perpetually Missing NumberPROSE::WAJENBERGWed Jul 22 1987 11:5489
39.11More fun....KIRK::KOLKERConan the LibrarianWed Jul 22 1987 13:0222
39.12Ltd.RSTS32::WAJENBERGCelebrated ozone dwellerWed Feb 24 1988 14:1845
39.13ERIS::CALLASI've lost my faith in nihilism.Wed Feb 24 1988 15:5324
39.14Size and CardinalityCUPMK::WAJENBERGQuoth the raven, `Nevertheless.'Thu Apr 16 1992 12:4420
39.15Finite infinites!TRIBES::LBOYLEwhat ever happened to Limbo?Thu Apr 16 1992 13:218
39.16"infinite"PULPO::BELDIN_RPull us together, not apartThu Apr 16 1992 13:599
39.17What is the mass of that thought ?DESERT::LAYNEFri Apr 17 1992 04:2849
39.18Sometimes, you need to differentiateREGENT::BROOMHEADDon't panic -- yet.Fri Apr 17 1992 13:5226
39.19LILITH::CALLASManners before morals.Fri Apr 17 1992 17:2038
39.20ATSE::WAJENBERGQuoth the raven, `Nevertheless.'Sat Apr 18 1992 14:5456
39.21Trans-finite, Beyond Finite, Why that's Infinite isn't it ?DESERT::LAYNESun Apr 19 1992 03:22100
39.22To Count the Uncountable, To Measure the Immeasurable !!DESERT::LAYNESun Apr 19 1992 03:36103
39.23Size and infinityTRIBES::LBOYLEwhat ever happened to Limbo?Mon Apr 20 1992 09:5231
39.24CUPMK::WAJENBERGNever run from anything immortal.Mon Apr 20 1992 17:0987
39.25That IS in fact the Objection, Size does not apply!DESERT::LAYNETue Apr 21 1992 05:50100
39.26TOLKIN::QUIRICITue Apr 21 1992 10:4613
39.27Doing without ends.CUPMK::WAJENBERGNever run from anything immortal.Tue Apr 21 1992 10:4931
39.28LILITH::CALLASManners before morals.Tue Apr 21 1992 10:5266
39.29VerificationCUPMK::WAJENBERGNever run from anything immortal.Tue Apr 21 1992 11:5025
39.30could we define some terms?TOLKIN::QUIRICITue Apr 21 1992 12:038
39.31CUPMK::WAJENBERGNever run from anything immortal.Tue Apr 21 1992 13:361
39.32more questions...TOLKIN::QUIRICITue Apr 21 1992 14:0216
39.33<TOLKIN::QUIRICITue Apr 21 1992 14:037
39.34It seems I was Dense about DensityDESERT::LAYNEWed Apr 22 1992 06:0324
39.35Concerning the Valid Derivation of ConceptsDESERT::LAYNEWed Apr 22 1992 06:0598
39.36language againSGOUTL::BELDIN_RPull us together, not apartWed Apr 22 1992 10:0619
39.38TOLKIN::QUIRICIWed Apr 22 1992 11:1430
39.39Identity versus equalityTRIBES::LBOYLEwhat ever happened to Limbo?Wed Apr 22 1992 11:2254
39.40bad definition?TOLKIN::QUIRICIWed Apr 22 1992 11:4014
39.41Nothing wrong with it.CADSYS::COOPERTopher CooperWed Apr 22 1992 12:4512
39.42More on the Diagonal (revision of .37)CUPMK::WAJENBERGNever run from anything immortal.Wed Apr 22 1992 13:1883
39.43TOLKIN::QUIRICIWed Apr 22 1992 13:447
39.44TOLKIN::QUIRICIWed Apr 22 1992 13:4511
39.45Surds, Irrationals, and TranscendentalsCUPMK::WAJENBERGNever run from anything immortal.Wed Apr 22 1992 14:0826
39.46TOLKIN::QUIRICIWed Apr 22 1992 14:2212
39.47LILITH::CALLASManners before morals.Wed Apr 22 1992 18:4525
39.48LILITH::CALLASManners before morals.Wed Apr 22 1992 18:5519
39.49LILITH::CALLASManners before morals.Wed Apr 22 1992 19:0626
39.50TOLKIN::QUIRICIWed Apr 22 1992 20:1010
39.51We don't have to just accept thing as they areDESERT::LAYNEThu Apr 23 1992 06:1742
39.52Concerning the boundaries of conceptsDESERT::LAYNEThu Apr 23 1992 06:1981
39.53SGOUTL::BELDIN_RPull us together, not apartThu Apr 23 1992 08:2414
39.54However many it is, its only a few.CADSYS::COOPERTopher CooperThu Apr 23 1992 11:0544
39.55Theory of Measure.CADSYS::COOPERTopher CooperThu Apr 23 1992 11:1111
39.56TOLKIN::QUIRICIThu Apr 23 1992 11:1426
39.57LILITH::CALLASManners before morals.Thu Apr 23 1992 11:5512
39.58TOLKIN::QUIRICIThu Apr 23 1992 12:1912
39.59Needs firming up.CADSYS::COOPERTopher CooperThu Apr 23 1992 12:5027
39.60TOLKIN::QUIRICIThu Apr 23 1992 13:3916
39.61You need to look at all three parameters.CADSYS::COOPERTopher CooperThu Apr 23 1992 15:0211
39.62No such comparison appliesDESERT::LAYNEFri Apr 24 1992 06:1856
39.63Since we're talking infinities, I'll use an infinite Algorithm!!!DESERT::LAYNEFri Apr 24 1992 06:1991
39.64Cantor revisitedTOLKIN::QUIRICIFri Apr 24 1992 08:1016
39.65Thrashing Out the ConceptCUPMK::WAJENBERGNever run from anything immortal.Fri Apr 24 1992 10:1840
39.66Countability, Not ComputabilityCUPMK::WAJENBERGNever run from anything immortal.Fri Apr 24 1992 10:1852
39.67TOLKIN::QUIRICIFri Apr 24 1992 10:5455
39.68Will I Mis-identify a Quark if I'm Color Blind ?DESERT::LAYNESat Apr 25 1992 06:06101
39.69Cantor's Snake; Venomous or Not ?DESERT::LAYNESat Apr 25 1992 06:0960
39.70TOLKIN::QUIRICISat Apr 25 1992 14:1391
39.71Was Cantor wrong?TRIBES::LBOYLEwhat ever happened to Limbo?Sun Apr 26 1992 09:27105
39.72TOLKIN::QUIRICISun Apr 26 1992 11:0128
39.73TOLKIN::QUIRICISun Apr 26 1992 11:0928
39.74TRIBES::LBOYLEwhat ever happened to Limbo?Mon Apr 27 1992 04:4321
39.75TOLKIN::QUIRICIMon Apr 27 1992 07:3224
39.76It's a list alrightTRIBES::LBOYLEwhat ever happened to Limbo?Mon Apr 27 1992 09:407
39.77side-barTOLKIN::QUIRICIMon Apr 27 1992 10:1611
39.78:-)TRIBES::LBOYLEwhat ever happened to Limbo?Mon Apr 27 1992 11:4911
39.79TOLKIN::QUIRICIMon Apr 27 1992 12:1510
39.80And All Without Algorithms, Time, or CompletionCUPMK::WAJENBERGNever run from anything immortal.Mon Apr 27 1992 13:4389
39.81More fumbling TRIBES::LBOYLEwhat ever happened to Limbo?Tue Apr 28 1992 07:0252
39.82more gropingTOLKIN::QUIRICITue Apr 28 1992 10:3720
39.83what you see is not an integer!SGOUTL::BELDIN_RAll&#039;s well that endsTue Apr 28 1992 11:0812
39.84TOLKIN::QUIRICITue Apr 28 1992 11:295
39.85A hand wave at an argument that I could prove this if I wanted to.LILITH::CALLASManners before morals.Tue Apr 28 1992 11:3988
39.86SGOUTL::BELDIN_RAll&#039;s well that endsTue Apr 28 1992 12:2711
39.87It's dark and muddy down hereTRIBES::LBOYLEwhat ever happened to Limbo?Tue Apr 28 1992 12:4910
39.88Detailed critique.CADSYS::COOPERTopher CooperTue Apr 28 1992 12:5360
39.89Fog is clearingTRIBES::LBOYLEwhat ever happened to Limbo?Tue Apr 28 1992 13:226
39.90Plentitude in PowerDKAS::KOLKERConan the LibrarianFri May 01 1992 14:4110
39.91Hyperreal NumbersCUPMK::WAJENBERGQuoth the raven, `Occasionally.&#039;Mon Jun 15 1992 13:0678
39.92a high road to intuitionMOCA::BELDIN_RAll&#039;s well that endsMon Jun 15 1992 14:308
39.93A question for any and all who wish to answerTEMPE::LAYNEDum vivimus, vivamus!!!Sun Aug 02 1992 09:2523
39.94commentsSGOUTL::BELDIN_RD-Day: 240 days and countingMon Aug 03 1992 08:2016
39.95Yes, but irrelevant.CUPMK::WAJENBERGPatience, and shuffle the cards.Mon Aug 03 1992 08:2115
39.96Reals cannot be recursively ennumerated....DKAS::KOLKERConan the LibrarianMon Aug 03 1992 11:3233
39.97Another QuestionTEMPE::LAYNEDum vivimus, vivamus!!!Wed Aug 05 1992 03:1813
39.98diagonalizationSGOUTL::BELDIN_RD-Day: 239 days and countingWed Aug 05 1992 08:3819
39.99A Riddle from A Radical ConstructionistTEMPE::LAYNEDum vivimus, vivamus!!!Wed Aug 05 1992 10:0040
39.100the logic of constructionismSGOUTL::BELDIN_RD-Day: 238 days and countingWed Aug 05 1992 12:0924
39.101is this the problem?...TOLKIN::QUIRICIWed Aug 05 1992 13:1222
39.102CUPMK::WAJENBERGPatience, and shuffle the cards.Wed Aug 05 1992 14:2254
39.103DKAS::KOLKERConan the LibrarianWed Aug 05 1992 19:378
39.104CUPMK::WAJENBERGPatience, and shuffle the cards.Thu Aug 06 1992 09:028
39.105A Little more for Your ConsiderationTEMPE::LAYNEDum vivimus, vivamus!!!Thu Aug 06 1992 09:4582
39.106its not a fair game, but its the only one in town!SGOUTL::BELDIN_RD-Day: 237 days and countingThu Aug 06 1992 10:2240
39.107integers with an infinite number of digits.CALS::DESELMSJim DeSelms - DTN 297-2216Thu Aug 06 1992 14:1315
39.108All infinite integers are aleph-one.CUPMK::WAJENBERGPatience, and shuffle the cards.Thu Aug 06 1992 14:4425
39.109DKAS::KOLKERConan the LibrarianThu Aug 06 1992 14:5211
39.110TOLKIN::QUIRICIThu Aug 06 1992 14:5911
39.111DKAS::KOLKERConan the LibrarianThu Aug 06 1992 15:0119
39.112Avoiding Bogus CompletionCUPMK::WAJENBERGPatience, and shuffle the cards.Thu Aug 06 1992 15:2153
39.113still a problem?TOLKIN::QUIRICIThu Aug 06 1992 16:029
39.114CUPMK::WAJENBERGPatience, and shuffle the cards.Thu Aug 06 1992 16:1816
39.115A Set Theoretical Treatment of Infinite Digit StringsTEMPE::LAYNEDum vivimus, vivamus!!!Fri Aug 07 1992 09:17112
39.116explanation...TOLKIN::QUIRICIFri Aug 07 1992 10:3612
39.117ATSE::WAJENBERGPatience, and shuffle the cards.Fri Aug 07 1992 10:4423
39.118An Actual dispute is quite unlikelyTEMPE::LAYNEDum vivimus, vivamus!!!Sat Aug 08 1992 10:4533
39.119A Set Theoretical Treatment of Infinite Digit Strings (II)TEMPE::LAYNEDum vivimus, vivamus!!!Sat Aug 08 1992 10:4797
39.120A Set Theoretical Treatment of Infinite Digit Strings (III)TEMPE::LAYNEDum vivimus, vivamus!!!Sat Aug 08 1992 10:4981
39.121Check out Heyting, Brower, and Beth...DKAS::KOLKERConan the LibrarianMon Aug 10 1992 12:1920
39.122CUPMK::WAJENBERGPatience, and shuffle the cards.Mon Aug 10 1992 13:428
39.123DKAS::KOLKERConan the LibrarianMon Aug 10 1992 17:116
39.124And Now A Word About Set i2TEMPE::LAYNEDum vivimus, vivamus!!!Tue Aug 11 1992 08:5864
39.125Concerning Infinite CarryingTEMPE::LAYNEDum vivimus, vivamus!!!Tue Aug 11 1992 08:5962
39.126TOLKIN::QUIRICITue Aug 11 1992 11:2912
39.127Dedekind cut?TOLKIN::QUIRICITue Aug 11 1992 12:039
39.128already an entry for Dedikind cuts...DKAS::KOLKERConan the LibrarianTue Aug 11 1992 17:354
39.129Real Numbers and Material NumbersCUPMK::WAJENBERGPatience, and shuffle the cards.Tue Aug 11 1992 22:0647
39.130It's All in your MindTEMPE::LAYNEDum vivimus, vivamus!!!Wed Aug 12 1992 09:2939
39.131Linguistically Speaking, Numbers are a Set of NounsTEMPE::LAYNEDum vivimus, vivamus!!!Wed Aug 12 1992 09:3997
39.132DEMING::VALENZABeing and notingness.Wed Aug 12 1992 13:1644
39.133quick refresher on sequences and sums....DKAS::KOLKERConan the LibrarianWed Aug 12 1992 13:3616
39.134as Euclid says...TOLKIN::QUIRICIWed Aug 12 1992 13:4116
39.135Tiers of Number SystemsCUPMK::WAJENBERGPatience, and shuffle the cards.Wed Aug 12 1992 14:5057
39.136Cf. 227.54CUPMK::WAJENBERGPatience, and shuffle the cards.Wed Aug 12 1992 14:531
39.137sqrt(2) and quantized spaceTOLKIN::QUIRICIWed Aug 12 1992 15:4022
39.138Cf. 227.61TEMPE::LAYNEDum vivimus, vivamus!!!Thu Aug 13 1992 02:367
39.139You Draw Pictures in non-Euclidean Space OnlyTEMPE::LAYNEDum vivimus, vivamus!!!Thu Aug 13 1992 09:1888
39.140A List with Infinite Nine'sTEMPE::LAYNEDum vivimus, vivamus!!!Thu Aug 13 1992 09:2085
39.141Does Convergence apply to non-periodic digit strings ?TEMPE::LAYNEDum vivimus, vivamus!!!Thu Aug 13 1992 09:4012
39.142the Platonic viewSGOUTL::BELDIN_RD-Day: 230 days and countingThu Aug 13 1992 09:4213
39.143A - BCUPMK::WAJENBERGPatience, and shuffle the cards.Thu Aug 13 1992 12:3634
39.144what's at the heart of the problem?TOLKIN::QUIRICIThu Aug 13 1992 12:5415
39.145See also many introductory calculus texts.CUPMK::WAJENBERGPatience, and shuffle the cards.Thu Aug 13 1992 14:5523
39.146Miscellaneous RepliesCUPMK::WAJENBERGPatience, and shuffle the cards.Thu Aug 13 1992 14:5660
39.147possible counterexample?TOLKIN::QUIRICIThu Aug 13 1992 15:0612
39.148my ph.d. thesis in outline...TOLKIN::QUIRICIThu Aug 13 1992 15:0811
39.149CUPMK::WAJENBERGPatience, and shuffle the cards.Thu Aug 13 1992 15:2111
39.150completeness, not density?TOLKIN::QUIRICIThu Aug 13 1992 15:2816
39.151CUPMK::WAJENBERGPatience, and shuffle the cards.Thu Aug 13 1992 15:5312
39.152just a matter of opinion?TOLKIN::QUIRICIThu Aug 13 1992 16:0314
39.153If the shoe fits-CUPMK::WAJENBERGPatience, and shuffle the cards.Thu Aug 13 1992 17:0050
39.154Cauchy sequences...DKAS::KOLKERConan the LibrarianThu Aug 13 1992 18:1966
39.155take my humor...pleaseTOLKIN::QUIRICIThu Aug 13 1992 20:198
39.156Real and Imaginary, Numbers, Units, Sets, and GeometriesTEMPE::LAYNEDum vivimus, vivamus!!!Fri Aug 14 1992 06:51104
39.157Do we Count them, or Don't we, that is the QuestionTEMPE::LAYNEDum vivimus, vivamus!!!Fri Aug 14 1992 09:2083
39.158CUPMK::WAJENBERGPatience, and shuffle the cards.Fri Aug 14 1992 10:0230
39.159what's missing if sqrt(2) is missing...TOLKIN::QUIRICIFri Aug 14 1992 10:4212
39.160Strict RationalismATSE::WAJENBERGPatience, and shuffle the cards.Fri Aug 14 1992 10:518
39.161MusingsCUPMK::WAJENBERGPatience, and shuffle the cards.Fri Aug 14 1992 15:3034
39.1620.999... = 1?CALS::DESELMSJim DeSelms - DTN 297-2216Fri Aug 14 1992 17:1013
39.163.333... <> 1/3CALS::DESELMSJim DeSelms - DTN 297-2216Fri Aug 14 1992 17:4013
39.164This Ain't Wonderland FolksTEMPE::LAYNEDum vivimus, vivamus!!!Sat Aug 15 1992 10:0465
39.165False Premises Lead to False ConclusionsTEMPE::LAYNEDum vivimus, vivamus!!!Sat Aug 15 1992 10:0580
39.166non-euclidean irrationals?TOLKIN::QUIRICISun Aug 16 1992 09:287
39.167representation vs. realityTOLKIN::QUIRICISun Aug 16 1992 09:3424
39.168CanonicityCUPMK::WAJENBERGPatience, and shuffle the cards.Mon Aug 17 1992 11:0562
39.169Misc.CUPMK::WAJENBERGPatience, and shuffle the cards.Mon Aug 17 1992 13:3442
39.170The Reasons Why You Can't Count ThemTEMPE::LAYNEDum vivimus, vivamus!!!Tue Aug 18 1992 09:55129
39.171CUPMK::WAJENBERGPatience, and shuffle the cards.Tue Aug 18 1992 11:0633
39.172a little clarity, a little confusionTOLKIN::QUIRICITue Aug 18 1992 11:5560
39.173JURAN::VALENZABeing and notingness.Tue Aug 18 1992 13:1364
39.174all numbers (including integers) have infinite decimal expansionsSGOUTL::BELDIN_RD-Day: 225 days and countingTue Aug 18 1992 13:2011
39.175Names for NumbersCUPMK::WAJENBERGPatience, and shuffle the cards.Tue Aug 18 1992 13:5630
39.176i hope i don't have to redo this againTOLKIN::QUIRICITue Aug 18 1992 14:0523
39.177well, at least I didn't have to redo the other oneTOLKIN::QUIRICITue Aug 18 1992 14:116
39.178Extension field mod an irreducible polynomial...DKAS::KOLKERConan the LibrarianTue Aug 18 1992 16:5428
39.179I'm Nothing if not Consistent, How about the rest of you folks ?TEMPE::LAYNEDum vivimus, vivamus!!!Wed Aug 19 1992 08:3784
39.180You need a bigger Stick, Dick ;-)TEMPE::LAYNEDum vivimus, vivamus!!!Wed Aug 19 1992 08:3975
39.181CUPMK::WAJENBERGPatience, and shuffle the cards.Wed Aug 19 1992 10:5172
39.182CUPMK::WAJENBERGPatience, and shuffle the cards.Wed Aug 19 1992 11:1021
39.183there is no meaning in mathematicsSGOUTL::BELDIN_RD-Day: 224 days and countingWed Aug 19 1992 12:3526
39.184more details?TOLKIN::QUIRICIWed Aug 19 1992 12:4210
39.1850 = 0 mod (x**2 -2)DKAS::KOLKERConan the LibrarianWed Aug 19 1992 14:1717
39.186something for Mr. Layne (and others....)DKAS::KOLKERConan the LibrarianWed Aug 19 1992 17:4761
39.187Thank you, Mr. KolkerTEMPE::LAYNEDum vivimus, vivamus!!!Thu Aug 20 1992 02:2817
39.188Electrical Storms in the Phoenix nightTEMPE::LAYNEDum vivimus, vivamus!!!Thu Aug 20 1992 04:4926
39.189when is "math" math?SGOUTL::BELDIN_RD-Day: 223 days and countingThu Aug 20 1992 08:5619
39.190Fascinating!MILPND::JANAThu Aug 20 1992 08:586
39.192Another Fine Myth DebunkedTEMPE::LAYNEDum vivimus, vivamus!!!Thu Aug 20 1992 09:01114
39.193diagonalization...how to prove it's new?TOLKIN::QUIRICIThu Aug 20 1992 11:5122
39.194Clarifications (?)CUPMK::WAJENBERGPatience, and shuffle the cards.Thu Aug 20 1992 12:2158
39.195what do you call a failure to debunk?CSSE::NEILSENWally Neilsen-SteinhardtThu Aug 20 1992 12:338
39.196Off-the-Cuff Answer to the Diagonal QuestionCUPMK::WAJENBERGPatience, and shuffle the cards.Thu Aug 20 1992 14:1618
39.197more laterCUPMK::WAJENBERGPatience, and shuffle the cards.Thu Aug 20 1992 15:2812
39.198a proof of the form of ambiguity...TOLKIN::QUIRICIThu Aug 20 1992 15:4934
39.199Ambiguous and Diagonal NumbersCUPMK::WAJENBERGPatience, and shuffle the cards.Fri Aug 21 1992 09:3921
39.200what's the Attic for "he found it! he found it!"TOLKIN::QUIRICIFri Aug 21 1992 10:5510
39.201CountingCUPMK::WAJENBERGPatience, and shuffle the cards.Fri Aug 21 1992 11:3351
39.202whose epistemology works best?TOLKIN::QUIRICIFri Aug 21 1992 11:4426
39.203ClosureCUPMK::WAJENBERGPatience, and shuffle the cards.Fri Aug 21 1992 14:2829
39.204NumeroidsCUPMK::WAJENBERGPatience, and shuffle the cards.Fri Aug 21 1992 14:2846
39.205back to realitySGOUTL::BELDIN_RD-Day: 222 days and countingFri Aug 21 1992 17:3138
39.206HousekeepingCUPMK::WAJENBERGPatience, and shuffle the cards.Mon Aug 24 1992 10:456
39.207By construction.CADSYS::COOPERTopher CooperMon Aug 24 1992 11:1719
39.208John Layne's infinite integers made orthodox...DKAS::KOLKERConan the LibrarianMon Aug 24 1992 15:4976
39.209It pays to cheat, as long as you are fair...DKAS::KOLKERConan the LibrarianMon Aug 24 1992 16:4440
39.210Isn't it safe yet?TOLKIN::QUIRICIMon Aug 24 1992 16:575
39.211What I am Actually Saying (Rather than what you are hearing)TEMPE::LAYNEDum vivimus, vivamus!!!Tue Aug 25 1992 06:5697
39.212But we have Never stopped Discussing InfinityTEMPE::LAYNEDum vivimus, vivamus!!!Tue Aug 25 1992 07:1717
39.213We Interupt Our Regularly Scheduled Argument for a brief AgreementTEMPE::LAYNEDum vivimus, vivamus!!!Tue Aug 25 1992 08:56100
39.214ClarificationCUPMK::WAJENBERGPatience, and shuffle the cards.Tue Aug 25 1992 09:199
39.215DKAS::KOLKERConan the LibrarianTue Aug 25 1992 10:0721
39.216Home on the RangeCUPMK::WAJENBERGPatience, and shuffle the cards.Tue Aug 25 1992 10:3654
39.217small point...TOLKIN::QUIRICITue Aug 25 1992 11:0013
39.218keep your head down!SGOUTL::BELDIN_RD-Day: 218 days and countingTue Aug 25 1992 11:198
39.219Historical PerspectiveCUPMK::WAJENBERGPatience, and shuffle the cards.Tue Aug 25 1992 11:2576
39.220CUPMK::WAJENBERGPatience, and shuffle the cards.Tue Aug 25 1992 11:326
39.221You're Missing my Point, about You Missing Your Point, ad infinitumTEMPE::LAYNEDum vivimus, vivamus!!!Wed Aug 26 1992 04:4450
39.222Down With Wonderland Epistemology !!!TEMPE::LAYNEDum vivimus, vivamus!!!Wed Aug 26 1992 07:3993
39.223Hyperreals form a non-Archemedian field...DKAS::KOLKERConan the LibrarianWed Aug 26 1992 08:3612
39.224Bits and pieces...TOLKIN::QUIRICIWed Aug 26 1992 10:3523
39.225Mathematics is not about truth...DKAS::KOLKERConan the LibrarianWed Aug 26 1992 11:5030
39.227TOLKIN::QUIRICIWed Aug 26 1992 13:1733
39.228when we change the definitionsCSSE::NEILSENWally Neilsen-SteinhardtWed Aug 26 1992 13:34120
39.229disagreeing with someone else for a changeCSSE::NEILSENWally Neilsen-SteinhardtWed Aug 26 1992 13:4011
39.230"When I make a word work hard, I always pay it extra."CUPMK::WAJENBERGPatience, and shuffle the cards.Wed Aug 26 1992 13:5949
39.231clarification....TOLKIN::QUIRICIWed Aug 26 1992 15:2421
39.232JURAN::VALENZACustom made flip-flops.Wed Aug 26 1992 15:5740
39.233math.induction is not alone...TOLKIN::QUIRICIWed Aug 26 1992 16:187
39.234MILPND::JANAThu Aug 27 1992 11:1710
39.235Finitest induction.CADSYS::COOPERTopher CooperThu Aug 27 1992 11:2817
39.236apologies for density...TOLKIN::QUIRICIThu Aug 27 1992 11:3614
39.237CUPMK::WAJENBERGPatience, and shuffle the cards.Thu Aug 27 1992 12:5433
39.238JURAN::VALENZACustom made flip-flops.Thu Aug 27 1992 13:594
39.239any and all....DKAS::KOLKERConan the LibrarianThu Aug 27 1992 14:0016
39.240TOLKIN::QUIRICIThu Aug 27 1992 14:596
39.241quanitifiers have their uses...DKAS::KOLKERConan the LibrarianThu Aug 27 1992 15:2211
39.242TOLKIN::QUIRICIThu Aug 27 1992 15:3617
39.243Hilberts, Einsteins, Infinite Hotels, and Infinite SpacetimesTEMPE::LAYNEDum vivimus, vivamus!!!Fri Aug 28 1992 04:5883
39.244An Objective Epistemology Works BestTEMPE::LAYNEDum vivimus, vivamus!!!Fri Aug 28 1992 05:0065
39.245You got it!DKAS::KOLKERConan the LibrarianFri Aug 28 1992 09:4612
39.246Keep your light shining....DKAS::KOLKERConan the LibrarianFri Aug 28 1992 10:0142
39.247CUPMK::WAJENBERGPatience, and shuffle the cards.Fri Aug 28 1992 10:4033
39.248JURAN::VALENZACustom made flip-flops.Fri Aug 28 1992 10:574
39.249Yes.CUPMK::WAJENBERGPatience, and shuffle the cards.Fri Aug 28 1992 11:111
39.250back to first principles?TOLKIN::QUIRICIFri Aug 28 1992 11:2925
39.251FWIWCUPMK::WAJENBERGPatience, and shuffle the cards.Fri Aug 28 1992 11:401
39.252IOU an explanation...DKAS::KOLKERConan the LibrarianFri Aug 28 1992 11:415
39.253two quickTOLKIN::QUIRICIFri Aug 28 1992 11:469
39.254I think this is going around in circlesCSSE::NEILSENWally Neilsen-SteinhardtFri Aug 28 1992 13:2021
39.255where's the beef? or something...TOLKIN::QUIRICIFri Aug 28 1992 13:4116
39.256JURAN::VALENZACustom made flip-flops.Fri Aug 28 1992 14:3386
39.257CUPMK::WAJENBERGPatience, and shuffle the cards.Fri Aug 28 1992 14:5011
39.258How about undefining ?MILPND::JANAFri Aug 28 1992 16:0111
39.259The devil and the square root of 2...DKAS::KOLKERConan the LibrarianFri Aug 28 1992 16:2729
39.2600/0 leads to contradiction; sqrt(2) doesn'tTOLKIN::QUIRICIFri Aug 28 1992 17:0216
39.261OK, so it isn't the Hyatt Regency...DKAS::KOLKERConan the LibrarianFri Aug 28 1992 17:0221
39.262JURAN::VALENZACustom made flip-flops.Fri Aug 28 1992 17:1118
39.263Need those roots...DKAS::KOLKERConan the LibrarianFri Aug 28 1992 17:3233
39.264Pictures can be Confusing SometimesTEMPE::LAYNEDum vivimus, vivamus!!!Sat Aug 29 1992 09:33108
39.265some queries....TOLKIN::QUIRICISat Aug 29 1992 11:5354
39.266SGOUTL::BELDIN_RD-Day: 212 days and countingMon Aug 31 1992 09:1915
39.267DKAS::KOLKERConan the LibrarianMon Aug 31 1992 09:3434
39.268commensurabilityTOLKIN::QUIRICIMon Aug 31 1992 14:1019
39.269mod of prevTOLKIN::QUIRICIMon Aug 31 1992 14:2216
39.270Aren't we missing some basic principles?TOLKIN::QUIRICIMon Aug 31 1992 14:3415
39.271(Not to be taken for Mr. Layne's actual opinions.)CUPMK::WAJENBERGPatience, and shuffle the cards.Mon Aug 31 1992 14:5520
39.272quantization of space needs more explanation?TOLKIN::QUIRICIMon Aug 31 1992 15:1913
39.273Cf. 84.20CUPMK::WAJENBERGPatience, and shuffle the cards.Mon Aug 31 1992 16:384
39.274Knowing Numbers, Measuring AbstractionsCUPMK::WAJENBERGPatience, and shuffle the cards.Mon Aug 31 1992 16:5137
39.275LILITH::CALLASManners before morals.Mon Aug 31 1992 16:5911
39.276TOLKIN::QUIRICIMon Aug 31 1992 17:148
39.277LILITH::CALLASManners before morals.Mon Aug 31 1992 17:3041
39.278TOLKIN::QUIRICIMon Aug 31 1992 17:355
39.279LILITH::CALLASManners before morals.Mon Aug 31 1992 17:383
39.280hopefully last question...TOLKIN::QUIRICIMon Aug 31 1992 17:468
39.281whew! just can't be!TOLKIN::QUIRICIMon Aug 31 1992 17:509
39.282Banach-Tarski Mfg, next door to Hilbert Hotel?CUPMK::WAJENBERGPatience, and shuffle the cards.Tue Sep 01 1992 10:3014
39.283more questions....TOLKIN::QUIRICITue Sep 01 1992 12:1911
39.284LILITH::CALLASManners before morals.Tue Sep 01 1992 14:1012
39.285TOLKIN::QUIRICITue Sep 01 1992 14:166
39.286DKAS::KOLKERConan the LibrarianTue Sep 01 1992 14:3414
39.287Climb that Mountain, but Watch your StepsTEMPE::LAYNEDum vivimus, vivamus!!!Wed Sep 02 1992 08:5394
39.288Real People are Humans or AardvarksTEMPE::LAYNEDum vivimus, vivamus!!!Wed Sep 02 1992 08:55102
39.289Check you premises....DKAS::KOLKERConan the LibrarianWed Sep 02 1992 10:2620
39.290LILITH::CALLASManners before morals.Wed Sep 02 1992 11:0410
39.291Geometry, Ranges, and LabelsCUPMK::WAJENBERGPatience, and shuffle the cards.Wed Sep 02 1992 12:5950
39.292aardvarks, numbers and proofCSSE::NEILSENWally Neilsen-SteinhardtWed Sep 02 1992 13:3542
39.293proof that x^2 - 2 = 0 has a root...DKAS::KOLKERConan the LibrarianWed Sep 02 1992 13:4819
39.294ineffective argument (from John's perspective)SGOUTL::BELDIN_RD-Day: 210 days and countingWed Sep 02 1992 15:507
39.295DKAS::KOLKERConan the LibrarianWed Sep 02 1992 18:1315
39.296DKAS::KOLKERConan the LibrarianWed Sep 02 1992 19:0721
39.297observations....TOLKIN::QUIRICIWed Sep 02 1992 21:2921
39.298definition of continuity...DKAS::KOLKERConan the LibrarianThu Sep 03 1992 08:439
39.299Cantor was a Man, but his Snake was a Fake, or Accidents HappenTEMPE::LAYNEDum vivimus, vivamus!!!Thu Sep 03 1992 08:44102
39.300Snake is no fake, if you grasp the asp....DKAS::KOLKERConan the LibrarianThu Sep 03 1992 11:3287
39.301possibly trivial question.....TOLKIN::QUIRICIThu Sep 03 1992 11:519
39.302DKAS::KOLKERConan the LibrarianThu Sep 03 1992 11:567
39.303Snake still a Fake, but asp is for real, film at 11 !TEMPE::LAYNEDum vivimus, vivamus!!!Thu Sep 03 1992 11:5923
39.304TOLKIN::QUIRICIThu Sep 03 1992 13:157
39.305The Snake Function....DKAS::KOLKERConan the LibrarianThu Sep 03 1992 15:219
39.306exercise of faith...TOLKIN::QUIRICIThu Sep 03 1992 16:1719
39.307Does a Paradox beat a Para-Aces ?TEMPE::LAYNEDum vivimus, vivamus!!!Fri Sep 04 1992 03:3859
39.308A Most Irrational Decision, because Facts are FactsTEMPE::LAYNEDum vivimus, vivamus!!!Fri Sep 04 1992 04:3862
39.309Feline Street Where the Real Cats MeetTEMPE::LAYNEDum vivimus, vivamus!!!Fri Sep 04 1992 07:1870
39.310Why I Keep Doing ThatTEMPE::LAYNEDum vivimus, vivamus!!!Fri Sep 04 1992 09:2773
39.311Why It's Not That EasyTEMPE::LAYNEDum vivimus, vivamus!!!Fri Sep 04 1992 09:2856
39.312translationSGOUTL::BELDIN_RD-Day: 208 days and countingFri Sep 04 1992 10:2624
39.313SGOUTL::BELDIN_RD-Day: 208 days and countingFri Sep 04 1992 10:3917
39.314a towering castle built on sand will fallSGOUTL::BELDIN_RD-Day: 208 days and countingFri Sep 04 1992 10:4721
39.315wrong disproof for that part of the proof?TOLKIN::QUIRICIFri Sep 04 1992 11:0614
39.316Please read carefully....DKAS::KOLKERConan the LibrarianFri Sep 04 1992 12:548
39.317no contradiction in .264 drawingTOLKIN::QUIRICIFri Sep 04 1992 13:0027
39.318MILPND::JANAFri Sep 04 1992 13:124
39.319Won't convince everyone, but....TOLKIN::QUIRICIFri Sep 04 1992 13:3611
39.320so near and yet so far...TOLKIN::QUIRICIFri Sep 04 1992 14:318
39.321try this...TOLKIN::QUIRICIFri Sep 04 1992 15:1521
39.322External Reality is the Measure of All ThingsTEMPE::LAYNEDum vivimus, vivamus!!!Mon Sep 07 1992 09:1262
39.323But is it Consistent with the Reality where it Dwells ?TEMPE::LAYNEDum vivimus, vivamus!!!Mon Sep 07 1992 09:1487
39.324Two for FourTEMPE::LAYNEDum vivimus, vivamus!!!Mon Sep 07 1992 09:15100
39.325DEMING::VALENZAShucks, it was note-thing at all.Mon Sep 07 1992 22:2919
39.326External Reality is not all of Reality!SGOUTL::BELDIN_RD-Day: 204 days and countingTue Sep 08 1992 08:5912
39.327measurement and epistemologyTOLKIN::QUIRICITue Sep 08 1992 11:198
39.328i**=-1,pi,exp etc..4298::SIMARTTue Sep 08 1992 15:0621
39.329Does a number have to count something???CNTRLZ::WALTERSBrian Walters. From a Nuclear FamilyWed Sep 09 1992 07:3522
39.330Farewell and Best Wishes Mr. Kolker !!!TEMPE::LAYNEDum vivimus, vivamus!!!Thu Sep 10 1992 03:1820
39.331MiscellanyCUPMK::WAJENBERGPatience, and shuffle the cards.Thu Sep 10 1992 09:3577
39.332DEMING::VALENZAI had Bigfoot&#039;s baby!Thu Sep 10 1992 10:1035
39.333Math and ObjectivismCUPMK::WAJENBERGPatience, and shuffle the cards.Thu Sep 10 1992 10:3057
39.334DEMING::VALENZAI had Bigfoot&#039;s baby!Thu Sep 10 1992 10:508
39.335avoiding rash conclusions from a lack of responseCSSE::NEILSENWally Neilsen-SteinhardtThu Sep 10 1992 12:5234
39.336never pass up a pun!TOLKIN::QUIRICIThu Sep 10 1992 13:2422
39.337DEMING::VALENZAI had Bigfoot&#039;s baby!Thu Sep 10 1992 13:5015
39.338continuing polymorphism discussion...TOLKIN::QUIRICIThu Sep 10 1992 14:2228
39.339TOLKIN::QUIRICIThu Sep 10 1992 14:246
39.340DEMING::VALENZAI had Bigfoot&#039;s baby!Thu Sep 10 1992 15:1728
39.341matrix addition, the easy way...TOLKIN::QUIRICIThu Sep 10 1992 15:3915
39.342mathematics not equivalent to arithmeticCADSYS::COOPERTopher CooperFri Sep 11 1992 16:5211
39.343Concerning the Nature of ExistenceTEMPE::LAYNEDum vivimus, vivamus!!!Sun Sep 13 1992 09:1198
39.344Concerning the Nature of Existence (Part II)TEMPE::LAYNEDum vivimus, vivamus!!!Sun Sep 13 1992 09:1391
39.345Thank You Very Much, Sir !TEMPE::LAYNEDum vivimus, vivamus!!!Sun Sep 13 1992 09:1464
39.346Look at My Treasure ChestTEMPE::LAYNEDum vivimus, vivamus!!!Sun Sep 13 1992 09:1695
39.347less inflammatory observations...TOLKIN::QUIRICISun Sep 13 1992 21:1829
39.349JURAN::VALENZAI had Bigfoot&#039;s baby!Mon Sep 14 1992 08:4618
39.350Standard Moderator Sermon #1 (Cf. notes 1.2-1.3)CUPMK::WAJENBERGAd Hominem AnonymousMon Sep 14 1992 09:3133
39.351JURAN::VALENZAI had Bigfoot&#039;s baby!Mon Sep 14 1992 09:5716
39.353cleaned-up repostingTOLKIN::QUIRICIMon Sep 14 1992 11:5923
39.355totalitarianism and metaphysicsCSSE::NEILSENWally Neilsen-SteinhardtMon Sep 14 1992 12:5552
39.356Isms: Absolute, Relative, TotalitarianCUPMK::WAJENBERGSuperficially normal.Mon Sep 14 1992 13:1065
39.357CUPMK::WAJENBERGSuperficially normal.Mon Sep 14 1992 13:177
39.358where did I put those notes?TOLKIN::QUIRICIMon Sep 14 1992 13:195
39.359You Mean it all Works out in the END ?TEMPE::LAYNEDum vivimus, vivamus!!!Tue Sep 15 1992 06:1774
39.360How dare you be so CERTAIN, I can't be that Certain I'm RightTEMPE::LAYNEDum vivimus, vivamus!!!Tue Sep 15 1992 09:5180
39.361reality is much more uncertain than Objectivists admitSGOUTL::BELDIN_RD-Day: 197 days and countingTue Sep 15 1992 10:0014
39.362JURAN::VALENZAI had Bigfoot&#039;s baby!Tue Sep 15 1992 10:0811
39.363SuggestionCUPMK::WAJENBERGSuperficially normal.Tue Sep 15 1992 10:374
39.364yet again into the breach...TOLKIN::QUIRICITue Sep 15 1992 11:0441
39.365Irony, or just my ignorance ?DWOVAX::STARKToddTue Sep 15 1992 12:0810
39.366the stream of consciousnessSGOUTL::BELDIN_RD-Day: 197 days and countingTue Sep 15 1992 12:209
39.367:-) missing in text, supplied hereTOLKIN::QUIRICITue Sep 15 1992 13:0912
39.368I'm from Earth, where are you from ;^))TEMPE::LAYNEDum vivimus, vivamus!!!Wed Sep 16 1992 08:1937
39.369TOLKIN::QUIRICIWed Sep 16 1992 12:1014
39.370Nature Dictates the Furnishings in the Real WorldTEMPE::LAYNEDum vivimus, vivamus!!!Thu Sep 17 1992 08:36101
39.371CUPMK::WAJENBERGSuperficially normal.Thu Sep 17 1992 11:5551
39.372SHARE::QUIRICIThu Sep 17 1992 12:40143
39.373just so Ken doesn't feel ignoredCSSE::NEILSENWally Neilsen-SteinhardtThu Sep 17 1992 12:4223
39.374the theoretical limits of counting...SHARE::QUIRICIThu Sep 17 1992 12:5819
39.375have we arrived at a new central question?CSSE::NEILSENWally Neilsen-SteinhardtThu Sep 17 1992 13:2939
39.376Sorry, couldn't resist. :-)DWOVAX::STARKToddThu Sep 17 1992 13:446
39.377SGOUTL::BELDIN_RD-Day: 195 days and countingThu Sep 17 1992 14:093
39.378another restatement...SHARE::QUIRICIThu Sep 17 1992 14:3221
39.379A Set of Rational Numbers, That Sounds Familiar SomehowTEMPE::LAYNEDum vivimus, vivamus!!!Fri Sep 18 1992 05:5560
39.380a few points...TOLKIN::QUIRICIFri Sep 18 1992 10:5329
39.381No Time for Titles TodayTEMPE::LAYNEDum vivimus, vivamus!!!Sun Sep 20 1992 17:34110
39.382Gotta' RushTEMPE::LAYNEDum vivimus, vivamus!!!Sun Sep 20 1992 17:35105
39.383Cantor Can't Prove its not what it claimsTEMPE::LAYNEDum vivimus, vivamus!!!Sun Sep 20 1992 17:3694
39.384still trying...TOLKIN::QUIRICIMon Sep 21 1992 18:2412
39.385Numbers not representations.CADSYS::COOPERTopher CooperTue Sep 22 1992 11:0429
39.386TOLKIN::QUIRICITue Sep 22 1992 11:5010
39.387What does "actually work" mean.CADSYS::COOPERTopher CooperTue Sep 22 1992 13:4425
39.388TOLKIN::QUIRICITue Sep 22 1992 13:5610
39.389CADSYS::COOPERTopher CooperTue Sep 22 1992 14:297
39.390with a tip o' the hat to Earl...TOLKIN::QUIRICITue Sep 22 1992 15:3513
39.391Categories of ExistenceTEMPE::LAYNEDum vivimus, vivamus!!!Wed Sep 23 1992 09:4494
39.392What's Internal, and ContradictoryTEMPE::LAYNEDum vivimus, vivamus!!!Wed Sep 23 1992 09:4652
39.394more points...TOLKIN::QUIRICIWed Sep 23 1992 11:2361
39.395proof of: "no lengths exist"...TOLKIN::QUIRICIWed Sep 23 1992 11:2611
39.396words and sets of referents...TOLKIN::QUIRICIWed Sep 23 1992 12:3425
39.397on the existence of eggs and dozensCSSE::NEILSENWally Neilsen-SteinhardtWed Sep 23 1992 12:4012
39.398more on the existence of sr2 as a mental constructCSSE::NEILSENWally Neilsen-SteinhardtWed Sep 23 1992 12:5827
39.399Unimaginable figures vs irrational numbersCUPMK::WAJENBERGSuperficially normal.Thu Sep 24 1992 15:4070
39.400In an Infinite Game there is _no_ Last MoveTEMPE::LAYNEDum vivimus, vivamus!!!Fri Sep 25 1992 08:3593
39.401In an Infinite Time, All Equaprobable Events Must OccurTEMPE::LAYNEDum vivimus, vivamus!!!Fri Sep 25 1992 08:3746
39.402some points...TOLKIN::QUIRICIFri Sep 25 1992 10:4957
39.403JURAN::VALENZABat child escapes!Fri Sep 25 1992 10:5613
39.404on arrays of infinite dimensionCSSE::NEILSENWally Neilsen-SteinhardtFri Sep 25 1992 12:4644
39.405back to the original question, Cantor is a diversionSGOUTL::BELDIN_RD-Day: 187 days and countingFri Sep 25 1992 12:4923
39.406A TrichotomyCUPMK::WAJENBERGSuperficially normal.Fri Sep 25 1992 12:5052
39.407Lethal ProprietyCUPMK::WAJENBERGSuperficially normal.Fri Sep 25 1992 13:4827
39.408SQM::SAXENADoes the universe exist ?!Sat Sep 26 1992 20:4722
39.409Is 1 real?SQM::SAXENADoes the universe exist ?!Sat Sep 26 1992 21:0614
39.410CUPMK::WAJENBERGSuperficially normal.Sat Sep 26 1992 22:2553
39.411And so what looked like an infinite discussion, Ends.TEMPE::LAYNEDum vivimus, vivamus!!!Wed Sep 30 1992 07:5173
39.412Ideal GeometryVAXUUM::TWOLLY::WAJENBERGSuperficially normal.Wed Nov 11 1992 09:2713