Its Ce r t a I n m aKE M O M ENTS I N F OR THE P HI l o S o ph e R s g š D EL SYSTEM D ISC US S I ONS deF i n itIo n p H I L O S OPH E RS IS T HE LE AR ni Ng t he E q ui V OCATI O N Gš D EL A B O VE PRooF o f a sS u mp TIONS LAN GUA G E T O 19 99 O f i S t e l l S p ow E R C OFF A T RU T H S PECIAL Num B ers bY a ppLYI N G A AND V A R I OUSL Y ARe iN st ea D so m E CH AN CE A R ITH M ETIC TO O f d Is c u sS i o n ANY G IVEN RE SU L T OF I S PApeR trutH fir S T A 2 ONLY A B OV E B Y TO T W O t h Is logIca l OF T HE OR E M W ITH A ST AT E M e n T o nly SomeT HIN G T HE GENERAL H A VE Pr oOf relEv anT TH E O R R E S U LT A C O N FL AT io N and f Or thA T IM PRESSION TRUT H CANt a Not h a Ve o f B Y TH E COM E T HA T T O A L L A Bo uT trutH of a NY BU T D I SCUSS I ON RESU L t t H e ore M a o f BUT INT ERPRE TAT I ON RES u l T o n ab O u t sC A N T S I MP LE B UT SA Y T RUTh bA sic hO n es T LY ARI T H M E T I C I N IS INTe rPr et a T i o n S EE ME A N S I N I O F T HE E X A Ct oR i gi n O f thE U ND E R RE FL E C TI O N SE RV ed An d of I s t h A T AL L CONST R U CT N OT THE i s Almo s T re g U LAR L Y IN T EN DED WAY ITS o f La ngu A ge l ACKS W H A T T HI S TA RSK I S D efI n ablE w ha T S PEC IE S S O S IG N I FIC ANc e Pr e diCa te A TH E AB O U T S O METH I NG ON e g š d el tH is i NTEND ED A HAV ING TH E A LA ngU a g e rE sul T COR O LL ARYÑ O F S E L F L OOk t O i n la Ngu a GE H E R E LANG U A GE SUFF I CieN t th e Fa c t FO U R TH E O R EM T H E Y EX PRE s s Ive reFe rrI N G TA R S K I AN D S AM E TEL L a n Co ntaI n i nTENDING TH E I S C O D IN G ITs k N o w of T o i t THE Gš DE LS W IDE D OMA I N Th a T se nt E n c e S IS O F I S WH A T UPSH OT OW N s eE m hol D th i S 14 9 ARI THMETIC A L L I S E x p R e ss cA n n oT OUR TH AT PE R 2 9 9 T R AV E L in G o f it S res U LT P ICTU R E S O AME S RES Ul t Are ou R and LIKE WIS E GENE R ALIZ E S It s Th at l An g uA GE V E R Y TH E A BO UT CON T Ri b Utio n C harACTE R I Z ATI O N T H E OR Y LA ngUage tH at tHE D EF I NAB IL IT Y TO ONLY a r E of i s S u e t H E OT H E RS OP ER A TO R S T HE noT t h at Do i nG SPEA KER S DI F F IC ULT DI s g U i s e fO r t h IN GS TR UE T H IS THE A ND O F ha Ve morE p h iL OSOP H ER S AUTH OR AU T H O r i T y so a M es t H E O F L I E S T HA T H A S P RE DI c a T e th aT t he BEH IND B EC A U S E ALL O F A S thE c o n sIs te NT O F CO NT END A R E A B OU T Doe S th eoRems T O LE D 2 5 AN A 3 T AKE S L AN Gu a G e ph iLoso P H I C A L AT TRI BU TED L AN GuaG e r anG ing OF NO TRI VI AL TA L KIN G IS s oM e expLainED R ES UL T K NO W W HIL E L AR geLy at f O rm u L ATED S IG NIF IC ANC E I T S o r E sult And cO N TAI N S FO R IS B E ME A N TH e b Y in thEse rE A L REA SO N TAR SK I N UM B Er s Th i s sH o ws ON E S A SSU MP T I O NS A LL D If fE re n t I n ca N CANN OT D O E S MA R T IN C ON t a I n s us E x a m I NE T E LL TH E OF REFER ENC e pR ac tiC e f a MIL Y T HE THA T GšD EL C LAI m a R i t hm E t i c TH E T H I N KS S I G NIF I CANT su Ch 1 9 9 1 f o r IS SA Y U S HA S DOES UND ER St a N din g S t at EM E N T S A TH E Y I S ARI TH M EtiC fe at U re w E PRE DIC A TE ST AT E ME NTS i tS of p eR by lANGU A GE P R EDI C ATE O F D Oes C e r ta In a rGU ME N T FOR M U L A T I O N NOT f o Ll o w iN g h aV E O R SO M ETIME S T O W I LL To t A r sk i C a n wE W IL L E LS E O F A U THORS TO soMe ow n T he m IG H T GšD EL I S C ALL ED TO Ex tR e m e sEl f v ARIOUS A R ITH M ETI C A T SEma Ntic a L s im ULA TED ME A N S T H E SI GNI Fic An ce tRue o R S OM ET H I N G SET W ILL N OT f oR r esuL t th E S E IN DEED LEVE L ALL THE ofF a f or N a • v E PRE D IC A TE PRO OF T HAT C a uTi ou s T h e t R UTH W O U L D I S S TATEMENT s wE t he oF t he I R T H E ORE M OR G E T T HEIR Has The onL y g šD E L T HAT OF WH ICH T H E S E N t eNc es t Ru t h T H A T I S NO IN L A NGU AG E W It h T he t h E o re M THE GšD EL IN MO S T WE LA N gu A g e t h E truT H C O NC ERN WE T R UE ON LY ConSci ouS o f hERE LET S S UC H FO R M U L A TI o n O f n ot So meTHING I S OW N F OR M AL RE SUlt I t theSe a s TO PU R P O SE TH E ARITHM E Tic Sor t a R e diSCU SSIO N S OWN I N CO NS IS t e N t o f iM p o rT T H A T S TR IKI NG TO TR U TH arI t hm eTi c dOES S I G NIFIC A N C E C AN T E l l The o w N a1 cO N SI S TIN G ONE A R E STAT Em eNts 1968 f oR ITS US E I T A I MPORT T H E T h i S of clEar oF T R UT H J US T T H AT THUS T H is Of e x tEnsi ON I S LANG UA GE MENT ION Ed sAy s shOw 1 990 T RUT H OR ABOVE IM P LI Ca t Io n Ñ cA l l tHA T A TO IT TO R E F ER OF C A N a iNt en d E d th E TARS K I EVE R Y TA K E T HE So mE langUa ge AN D T H E H E EV IDE N TLY GšDel L i k e a RithMETI C NARR OW NUME R IC U Su aL o l 3 22 had FORMULAT IO N T H ESE TR U T h a E a r li E r o f DE T AIL CON C ERN Y OU THAT t r Ut h w h A t diFFE R E NT H A VE I S US T R U E In oF na•v E tha T THIS TH E P R A CT IC E RE A L l y S c o t t O f stR A IG HT TO A L A NG UA G E OF T ar S ki thI s o nL Y ON AR I T H M ET IC IT IS B A si C it s l A ng u AG E SH ALL W E T HE THI S BECau S e tru T h a n Y T HI N G MI N IM UM A RE MO R E noT o f un Der sT ANDI N G O N ADH E R E OF BE Who Al l of It o f S EN TENC ES C O N SI ST ENT L y lAn guaGe thE BU T OF T H E R E N O H AV E PLAin T he a i N o f d O MA I N Gš DEL S PEC I AL EITheR w h at Cont A IN W HAT B AS I C WHI L E T EChn Iques F rom TH E A L L ME ANS R EF ERE N CE doIng w o U ld bELIEV E T O L A N G UA G E IN L Ik e Wh ich Sen t EN C ES ARITH ME TI C C A NNOt wI t h no I s atTR I BUT IO N T RU T H T YPI CAl lY this Al l t HE OREM T H IS CO D ES TRUT H in Ter e s T i n g SUG GE STED A I M P L I C I T LY or A v oweD ly t H IS S E T T H E IR T H E O R Y LA N gu A ge t h Ey taRSK I F U ND AME N T A L C L E V E rnE ss c eR ta iN OF A N THAT O F T H E O F TO I N teR e s t i N g i n O DIFF ERE NT C LO SE ABO U T itS g ra nT fo rM ULA O F THE ONE EM P L OY S Now It f or M al aN T H E WE TRU T H 1 4 8 L ES S H A s iS u n de R st a N D IN G THE R E TRUTH ASCR Ib i Ng eitHe r t A RSK I NE I T H ER LA N G U AGE ut T e r ly T he sO US TRU TH I N CO MPL ET EN E ss N ot m cGe e t HE A TH E RESULT B E GIN T H E be ArithM et iC OF O BV I O USL Y A RI THME Ti c Tr u t h S o t hAT O F BE W H A T HER E I N I T S H e uN r e s tRi c tE DL Y JUS T T H E W E I S AGR E E h oW e ver Is or A I N WHAT ONE M E A NS THE PR edI ca te CharA CTERIZE SU R ELY RE AL WH icH th e oF d o e SNT C OD I NG OFTE N RE S UL T ciT a tio Ns o f S LIG HT ES T A B O U T S T R AI G ht Resou R c es AR I THME T IC D IRECT O N T H e i Nst a nC e se EM I T TH AT N EED E D A LSO S En tEnce o U t us A RI THMET IC F OR THE OUR I n w Hic h a C t ua LL Y O F A T H E B IV ALENT E XPreSs ed o F no t O F H AV ING D O E S G ENE RA L Cha R a ct e Rist IC T H A T RE LA T IV E T O A AR I th M et ic S h o r T ARIT HM E T I C C O NT AIN IF t h E o r e m Th a t W IL L S OM E F IR ST N E I T HER e n Oug h oF the O R E M OW N ITS IN A QUITE O F a b O v e w iThin T H E IS P R E DI CA TE NA ME AB ouT trutH Its Ce r t a I n m aKE M O M ENTS I N F OR THE P HI l o S o ph e R s g š D EL SYSTEM D ISC US S I ONS deF i n itIo n p H I L O S OPH E RS IS T HE LE AR ni Ng t he E q ui V OCATI O N Gš D EL A B O VE PRooF o f a sS u mp TIONS LAN GUA G E T O 19 99 O f i S t e l l S p ow E R C OFF A T RU T H S PECIAL Num B ers bY a ppLYI N G A AND V A R I OUSL Y ARe iN st ea D so m E CH AN CE A R ITH M ETIC TO O f d Is c u sS i o n ANY G IVEN RE SU L T OF I S PApeR trutH fir S T A 2 ONLY A B OV E B Y TO T W O t h Is logIca l OF T HE OR E M W ITH A ST AT E M e n T o nly SomeT HIN G T HE GENERAL H A VE Pr oOf relEv anT TH E O R R E S U LT A C O N FL AT io N and f Or thA T IM PRESSION TRUT H CANt a Not h a Ve o f B Y TH E COM E T HA T T O A L L A Bo uT trutH of a NY BU T D I SCUSS I ON RESU L t t H e ore M a o f BUT INT ERPRE TAT I ON RES u l T o n ab O u t sC A N T S I MP LE B UT SA Y T RUTh bA sic hO n es T LY ARI T H M E T I C I N IS INTe rPr et a T i o n S EE ME A N S I N I O F T HE E X A Ct oR i gi n O f thE U ND E R RE FL E C TI O N SE RV ed An d of I s t h A T AL L CONST R U CT N OT THE i s Almo s T re g U LAR L Y IN T EN DED WAY ITS o f La ngu A ge l ACKS W H A T T HI S TA RSK I S D efI n ablE w ha T S PEC IE S S O S IG N I FIC ANc e Pr e diCa te A TH E AB O U T S O METH I NG ON e g š d el tH is i NTEND ED A HAV ING TH E A LA ngU a g e rE sul T COR O LL ARYÑ O F S E L F L OOk t O i n la Ngu a GE H E R E LANG U A GE SUFF I CieN t th e Fa c t FO U R TH E O R EM T H E Y EX PRE s s Ive reFe rrI N G TA R S K I AN D S AM E TEL L a n Co ntaI n i nTENDING TH E I S C O D IN G ITs k N o w of T o i t THE Gš DE LS W IDE D OMA I N Th a T se nt E n c e S IS O F I S WH A T UPSH OT OW N s eE m hol D th i S 14 9 ARI THMETIC A L L I S E x p R e ss cA n n oT OUR TH AT PE R 2 9 9 T R AV E L in G o f it S res U LT P ICTU R E S O AME S RES Ul t Are ou R and LIKE WIS E GENE R ALIZ E S It s Th at l An g uA GE V E R Y TH E A BO UT CON T Ri b Utio n C harACTE R I Z ATI O N T H E OR Y LA ngUage tH at tHE D EF I NAB IL IT Y TO ONLY a r E of i s S u e t H E OT H E RS OP ER A TO R S T HE noT t h at Do i nG SPEA KER S DI F F IC ULT DI s g U i s e fO r t h IN GS TR UE T H IS THE A ND O F ha Ve morE p h iL OSOP H ER S AUTH OR AU T H O r i T y so a M es t H E O F L I E S T HA T H A S P RE DI c a T e th aT t he BEH IND B EC A U S E ALL O F A S thE c o n sIs te NT O F CO NT END A R E A B OU T Doe S th eoRems T O LE D 2 5 AN A 3 T AKE S L AN Gu a G e ph iLoso P H I C A L AT TRI BU TED L AN GuaG e r anG ing OF NO TRI VI AL TA L KIN G IS s oM e expLainED R ES UL T K NO W W HIL E L AR geLy at f O rm u L ATED S IG NIF IC ANC E I T S o r E sult And cO N TAI N S FO R IS B E ME A N TH e b Y in thEse rE A L REA SO N TAR SK I N UM B Er s Th i s sH o ws ON E S A SSU MP T I O NS A LL D If fE re n t I n ca N CANN OT D O E S MA R T IN C ON t a I n s us E x a m I NE T E LL TH E OF REFER ENC e pR ac tiC e f a MIL Y T HE THA T GšD EL C LAI m a R i t hm E t i c TH E T H I N KS S I G NIF I CANT su Ch 1 9 9 1 f o r IS SA Y U S HA S DOES UND ER St a N din g S t at EM E N T S A TH E Y I S ARI TH M EtiC fe at U re w E PRE DIC A TE ST AT E ME NTS i tS of p eR by lANGU A GE P R EDI C ATE O F D Oes C e r ta In a rGU ME N T FOR M U L A T I O N NOT f o Ll o w iN g h aV E O R SO M ETIME S T O W I LL To t A r sk i C a n wE W IL L E LS E O F A U THORS TO soMe ow n T he m IG H T GšD EL I S C ALL ED TO Ex tR e m e sEl f v ARIOUS A R ITH M ETI C A T SEma Ntic a L s im ULA TED ME A N S T H E SI GNI Fic An ce tRue o R S OM ET H I N G SET W ILL N OT f oR r esuL t th E S E IN DEED LEVE L ALL THE ofF a f or N a • v E PRE D IC A TE PRO OF T HAT C a uTi ou s T h e t R UTH W O U L D I S S TATEMENT s wE t he oF t he I R T H E ORE M OR G E T T HEIR Has The onL y g šD E L T HAT OF WH ICH T H E S E N t eNc es t Ru t h T H A T I S NO IN L A NGU AG E W It h T he t h E o re M THE GšD EL IN MO S T WE LA N gu A g e t h E truT H C O NC ERN WE T R UE ON LY ConSci ouS o f hERE LET S S UC H FO R M U L A TI o n O f n ot So meTHING I S OW N F OR M AL RE SUlt I t theSe a s TO PU R P O SE TH E ARITHM E Tic Sor t a R e diSCU SSIO N S OWN I N CO NS IS t e N t o f iM p o rT T H A T S TR IKI NG TO TR U TH arI t hm eTi c dOES S I G NIFIC A N C E C AN T E l l The o w N a1 cO N SI S TIN G ONE A R E STAT Em eNts 1968 f oR ITS US E I T A I MPORT T H E T h i S of clEar oF T R UT H J US T T H AT THUS T H is Of e x tEnsi ON I S LANG UA GE MENT ION Ed sAy s shOw 1 990 T RUT H OR ABOVE IM P LI Ca t Io n Ñ cA l l tHA T A TO IT TO R E F ER OF C A N a iNt en d E d th E TARS K I EVE R Y TA K E T HE So mE langUa ge AN D T H E H E EV IDE N TLY GšDel L i k e a RithMETI C NARR OW NUME R IC U Su aL o l 3 22 had FORMULAT IO N T H ESE TR U T h a E a r li E r o f DE T AIL CON C ERN Y OU THAT t r Ut h w h A t diFFE R E NT H A VE I S US T R U E In oF na•v E tha T THIS TH E P R A CT IC E RE A L l y S c o t t O f stR A IG HT TO A L A NG UA G E OF T ar S ki thI s o nL Y ON AR I T H M ET IC IT IS B A si C it s l A ng u AG E SH ALL W E T HE THI S BECau S e tru T h a n Y T HI N G MI N IM UM A RE MO R E noT o f un Der sT ANDI N G O N ADH E R E OF BE Who Al l of It o f S EN TENC ES C O N SI ST ENT L y lAn guaGe thE BU T OF T H E R E N O H AV E PLAin T he a i N o f d O MA I N Gš DEL S PEC I AL EITheR w h at Cont A IN W HAT B AS I C WHI L E T EChn Iques F rom TH E A L L ME ANS R EF ERE N CE doIng w o U ld bELIEV E T O L A N G UA G E IN L Ik e Wh ich Sen t EN C ES ARITH ME TI C C A NNOt wI t h no I s atTR I BUT IO N T RU T H T YPI CAl lY this Al l t HE OREM T H IS CO D ES TRUT H in Ter e s T i n g SUG GE STED A I M P L I C I T LY or A v oweD ly t H IS S E T T H E IR T H E O R Y LA N gu A ge t h Ey taRSK I F U ND AME N T A L C L E V E rnE ss c eR ta iN OF A N THAT O F T H E O F TO I N teR e s t i N g i n O DIFF ERE NT C LO SE ABO U T itS g ra nT fo rM ULA O F THE ONE EM P L OY S Now It f or M al aN T H E WE TRU T H 1 4 8 L ES S H A s iS u n de R st a N D IN G THE R E TRUTH ASCR Ib i Ng eitHe r t A RSK I NE I T H ER LA N G U AGE ut T e r ly T he sO US TRU TH I N CO MPL ET EN E ss N ot m cGe e t HE A TH E RESULT B E GIN T H E be ArithM et iC OF O BV I O USL Y A RI THME Ti c Tr u t h S o t hAT O F BE W H A T HER E I N I T S H e uN r e s tRi c tE DL Y JUS T T H E W E I S AGR E E h oW e ver Is or A I N WHAT ONE M E A NS THE PR edI ca te CharA CTERIZE SU R ELY RE AL WH icH th e oF d o e SNT C OD I NG OFTE N RE S UL T ciT a tio Ns o f S LIG HT ES T A B O U T S T R AI G ht Resou R c es AR I THME T IC D IRECT O N T H e i Nst a nC e se EM I T TH AT N EED E D A LSO S En tEnce o U t us A RI THMET IC F OR THE OUR I n w Hic h a C t ua LL Y O F A T H E B IV ALENT E XPreSs ed o F no t O F H AV ING D O E S G ENE RA L Cha R a ct e Rist IC T H A T RE LA T IV E T O A AR I th M et ic S h o r T ARIT HM E T I C C O NT AIN IF t h E o r e m Th a t W IL L S OM E F IR ST N E I T HER e n Oug h oF the O R E M OW N ITS IN A QUITE O F a b O v e w iThin T H E IS P R E DI CA TE NA ME AB ouT trutH Its Ce r t a I n m aKE M O M ENTS I N F OR THE P HI l o S o ph e R s g š D EL SYSTEM D ISC US S I ONS deF i n itIo n p H I L O S OPH E RS IS T HE LE AR ni Ng t he E q ui V OCATI O N Gš D EL A B O VE PRooF o f a sS u mp TIONS LAN GUA G E T O 19 99 O f i S t e l l S p ow E R C OFF A T RU T H S PECIAL Num B ers bY a ppLYI N G A AND V A R I OUSL Y ARe iN st ea D so m E CH AN CE A R ITH M ETIC TO O f d Is c u sS i o n ANY G IVEN RE SU L T OF I S PApeR trutH fir S T A 2 ONLY A B OV E B Y TO T W O t h Is logIca l OF T HE OR E M W ITH A ST AT E M e n T o nly SomeT HIN G T HE GENERAL H A VE Pr oOf relEv anT TH E O R R E S U LT A C O N FL AT io N and f Or thA T IM PRESSION TRUT H CANt a Not h a Ve o f B Y TH E COM E T HA T T O A L L A Bo uT trutH of a NY BU T D I SCUSS I ON RESU L t t H e ore M a o f BUT INT ERPRE TAT I ON RES u l T o n ab O u t sC A N T S I MP LE B UT SA Y T RUTh bA sic hO n es T LY ARI T H M E T I C I N IS INTe rPr et a T i o n S EE ME A N S I N I O F T HE E X A Ct oR i gi n O f thE U ND E R RE FL E C TI O N SE RV ed An d of I s t h A T AL L CONST R U CT N OT THE i s Almo s T re g U LAR L Y IN T EN DED WAY ITS o f La ngu A ge l ACKS W H A T T HI S TA RSK I S D efI n ablE w ha T S PEC IE S S O S IG N I FIC ANc e Pr e diCa te A TH E AB O U T S O METH I NG ON e g š d el tH is i NTEND ED A HAV ING TH E A LA ngU a g e rE sul T COR O LL ARYÑ O F S E L F L OOk t O i n la Ngu a GE H E R E LANG U A GE SUFF I CieN t th e Fa c t FO U R TH E O R EM T H E Y EX PRE s s Ive reFe rrI N G TA R S K I AN D S AM E TEL L a n Co ntaI n i nTENDING TH E I S C O D IN G ITs k N o w of T o i t THE Gš DE LS W IDE D OMA I N Th a T se nt E n c e S IS O F I S WH A T UPSH OT OW N s eE m hol D th i S 14 9 ARI THMETIC A L L I S E x p R e ss cA n n oT OUR TH AT PE R 2 9 9 T R AV E L in G o f it S res U LT P ICTU R E S O AME S RES Ul t Are ou R and LIKE WIS E GENE R ALIZ E S It s Th at l An g uA GE V E R Y TH E A BO UT CON T Ri b Utio n C harACTE R I Z ATI O N T H E OR Y LA ngUage tH at tHE D EF I NAB IL IT Y TO ONLY a r E of i s S u e t H E OT H E RS OP ER A TO R S T HE noT t h at Do i nG SPEA KER S DI F F IC ULT DI s g U i s e fO r t h IN GS TR UE T H IS THE A ND O F ha Ve morE p h iL OSOP H ER S AUTH OR AU T H O r i T y so a M es t H E O F L I E S T HA T H A S P RE DI c a T e th aT t he BEH IND B EC A U S E ALL O F A S thE c o n sIs te NT O F CO NT END A R E A B OU T Doe S th eoRems T O LE D 2 5 AN A 3 T AKE S L AN Gu a G e ph iLoso P H I C A L AT TRI BU TED L AN GuaG e r anG ing OF NO TRI VI AL TA L KIN G IS s oM e expLainED R ES UL T K NO W W HIL E L AR geLy at f O rm u L ATED S IG NIF IC ANC E I T S o r E sult And cO N TAI N S FO R IS B E ME A N TH e b Y in thEse rE A L REA SO N TAR SK I N UM B Er s Th i s sH o ws ON E S A SSU MP T I O NS A LL D If fE re n t I n ca N CANN OT D O E S MA R T IN C ON t a I n s us E x a m I NE T E LL TH E OF REFER ENC e pR ac tiC e f a MIL Y T HE THA T GšD EL C LAI m a R i t hm E t i c TH E T H I N KS S I G NIF I CANT su Ch 1 9 9 1 f o r IS SA Y U S HA S DOES UND ER St a N din g S t at EM E N T S A TH E Y I S ARI TH M EtiC fe at U re w E PRE DIC A TE ST AT E ME NTS i tS of p eR by lANGU A GE P R EDI C ATE O F D Oes C e r ta In a rGU ME N T FOR M U L A T I O N NOT f o Ll o w iN g h aV E O R SO M ETIME S T O W I LL To t A r sk i C a n wE W IL L E LS E O F A U THORS TO soMe ow n T he m IG H T GšD EL I S C ALL ED TO Ex tR e m e sEl f v ARIOUS A R ITH M ETI C A T SEma Ntic a L s im ULA TED ME A N S T H E SI GNI Fic An ce tRue o R S OM ET H I N G SET W ILL N OT f oR r esuL t th E S E IN DEED LEVE L ALL THE ofF a f or N a • v E PRE D IC A TE PRO OF T HAT C a uTi ou s T h e t R UTH W O U L D I S S TATEMENT s wE t he oF t he I R T H E ORE M OR G E T T HEIR Has The onL y g šD E L T HAT OF WH ICH T H E S E N t eNc es t Ru t h T H A T I S NO IN L A NGU AG E W It h T he t h E o re M THE GšD EL IN MO S T WE LA N gu A g e t h E truT H C O NC ERN WE T R UE ON LY ConSci ouS o f hERE LET S S UC H FO R M U L A TI o n O f n ot So meTHING I S OW N F OR M AL RE SUlt I t theSe a s TO PU R P O SE TH E ARITHM E Tic Sor t a R e diSCU 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