Godel Number for Genesis 1

3•7h3P146u3•1h ago

I computed with a python script the Godel Number for Genesis 1:1 (based on Gematria letter values) for string "בראשיתבראאלהיםאתהשמיםואתהארץ" (so first 28 primes to the power of each letter value - one letter per prime in ascending order of primes - multiplied together). The number is around 8.63 * 10^1571. I estimate the complete Torah GN would be ~ 10^162,000,000.

Number:

862532119018670994853706299484105125355684644091606301637311464066213285015917612647683372609962630971922757938460422497490303715584236183589815174223753668799187852058841234949640910706751931998086640998540377763898255965157345839578032575161238882178232627071018932090393720452385410421246299359267108737383504683304773444583585595397166762636335760718203268116607806422122460238359387886209128122071411582967846410847032333287804616798619618534623997073011581903075286954308086505751764127465988599227773336083575367291302505134990155091860273966038231092372220604227309239557068329692773614884678165703093882951225237219049884072591367583612996662184298072102754806138583465166343491891914218820884863137432368191913505226696446776228195140747186317331090398667854179971478767235965708916517894331964260945391192709721289401538497042518094772049376725892136852888295246727855947473328623572255482239873197543927364083185644584525064736404787257009093930575325299526375152109269786651223167394245457025414401077602205749972663874358119751651840852629056608373121271546637831569829973342625171431382950059449537800791337689356412432246870151309974417591680264941818924856531430609531872024124871430746745785104654639024906568180244334344198617172568131674824316152203792560579253836970171344829014971482748318133149753474674198689782281225431568210579085082037960870002450430213754301829943714777036898363992540719837243306643222479630456404284701307736642683922176659469556354342025512514670850190604229271082319358771041193899866376903053044875660796608053621127545485925430227684223717707143778418689770243642452946645417031915909619041161487548302428048179471613261834267257125242104925169981058292567895445637817689256996909426431692841279538639031605230708813671354255126229769558470282527251269536589392236264971766761088163973756630297893077865947924785867410394740412285254239075204746189079389712315630534905573793839541718301953239164503314409852857253565001698058892186727533918883002735835397660312059153876170003707941794253082934778544986300292345386628532359673279846490330992656638055746900805821639052256600823490254070548895598625396775655666909280936373172143321485111786732496672794724225802325772085268477526505661486156101794209917903177794514174544297290746805540009703976564158760908201280713059612284177790839561443229400677667188082517554315493232856904118433094969391486551988640655131033391607975724270919357061114582890244667365139395191893959248824343704623296597586855822638051347286607496784479020845464324919098058832180898117371280262533368513803502671586383545265567057277027119408902977043678176348467422718089948447306584637362675374312141865264531851918834092767574868053703841423519231772117261364086258001877409046192158059112075939216253377769665708762493959377672717239307332229854474646831480749112291381952225327987808594814572119347807874825156395068264902294003780966929710237239100926452454413234864454695184249612773139494721658671324480240716392046364647626933693680745488891461982896474822388203782760266378659088577683237353642432930503094691016525186103147266419867252298638416129384987072328251918109746709474419283620325652769943558043754066758230024716146467684150333218007418790125500936062286238984837981152526969700812639555603183730863982840539122807850713409454772065879326682894770476626436563579251623141267525737837863664035359294396444400023523677933783816803723923444271766037931208473564191944927352221528208557413333101101784752768449177738772509826396740416020622385396978236513849886988591435296801057705639982149487941574035166303938858887066202

Comments

FrankWilhoit•1h ago

But does this show that the verse is unprovable? Does it show that Gematria is equipotent with Peano arithmetic, or less powerful? Does the estimate of the order of the Gödel number for all of Torah imply that the question is unapproachable? Didn't we already know that?

7h3P146u3•1h ago

This was just "for fun" - it does not "prove" anything other than to show if you have number values for letters (as the Gematria does for Hebrew) any string of text can be numerically represented and encoded in a Godel Number - one could do the same thing for Moby Dick or an email, it doesn't matter. This is kind of a fun thing for learning purpose to show how large Godel numbers get, and how quickly. The idea of "storing a string of text in one number" is cool - yes it underpins Godel's Incompleteness theorems, etc., but is also just cool by itself I think.

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