reflections on infinity
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7/21/2019 Reflections on Infinity
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Zmlcmetdons on Dnldndty
wrdttmn jy Jrk`cmy Qkcimr
LOZMQOZ@ K
Pbm quotm tbkt eurrmntcy lmmcs host rmcmvknt ds tbds7 Pbm two host dhportknt `kys
dn your cdlm krm tbm `ky you wmrm jorn kn` tbm `ky you `dseovmr wby.(Pbds quotm ds oltmn
hdskttrdjutm` to Hkri Pwkdn, jut tbmrm ds no nmm` to lkcsmcy nkhm kn kutbor, wm ekn sdhpcy
keempt dt ks k ndem knonyhous quotm.)
D bkvm spmnt host ol hy cdlm lmmcdna cdim D wks hmknt to `dseovmr sohmtbdna kn`
sbkrm dt wdtb tbm worc`, jut D bk` no d`mk wbkt tbkt sohmtbdnaeouc` jm. Uo D jksdekccy
trdm` to cmkrn k jdt kjout *mvmrytbdna*, kn` bopm` tbkt mvmntukccy D wouc` ldn` hy trum
ekccdna, sohmtbdna D eouc` `mvotm tbm rmst ol hy cdlm to, loeusdna dntmntcy on tbkt onm topde
kn` jmeohdna kn mxpmrt
Bowmvmr, D rmemntcy wks lortunktm mnouab to bkvm tbkt `ky you `dseovmr wby, tbm
`ky wbmrm hy Vktb kn` hy Vurposm ldnkccy jmekhm ecmkr. D loun` tbm sohmtbdnaD wks
hmknt to `dseovmr kn` sbkrm wdtb tbm worc`. Uurprdsdnacy, dt `d` not rmqudrm tbm `mek`ms ol
dntmnsm dsocktm` ojsmssdon towkr`s k sdnacm aokc tbkt D kcwkys kssuhm` wouc` jm
nmemsskry. Dnstmk`, kcc tbm vkrdous topdes tbkt D bk` stu`dm` ovmr tbm ymkrs su``mncy ekhm
toamtbmr dn k sdnacm hohmnt ol ermktdvm dnsdabt, ks dl mvmrytbdna ldnkccy *ecdeim`*.
D bkvm kcwkys `mserdjm` hysmcl ks k Gkei ol kcc trk`ms, Hkstmr ol nonm, hmkndna
D kh prmtty aoo`or lkdrcy inowcm`amkjcmwdtb k wd`m vkrdmty ol `dllmrmnt sujgmets, sidccs,
bojjdms, pbdcosopbdms, mte., jut D kh emrtkdncy not kn mxpmrtkt knytbdna spmedlde. Pbkt
Gkei ol kcc trk`ms, Hkstmr ol nonmsmcl-`mserdptdon usukccy ekrrdm` k nmaktdvm eonnotktdon
wdtb dt, jmekusm D oltmn lmct lrustrktm` or `dskppodntm` wdtb hysmcl lor wkstdna tdhmjy
rmk`dna kjout *KCC* tbm tbdnas tbkt dntmrmstm` hm dnstmk` ol *eboosdna* k spmedlde sujgmet
to loeus on.
D now rmkcdzm tbkt hy Vktb so lkr bks strkym` mxketcy wbmrm dt wks hmknt to strky.
Dl D bk` not kequdrm` k jrok` rknam ol tbouabts dn hy bmk`, wbdeb hy wdlm rmlmrs to ks
tbm mn`cmss ldcdna-ekjdnmt ol rkn`oh dnlorhktdon, tbmn D wouc` not bkvm jmmn kjcm to
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hkim tbm eonnmetdons tbkt cm` to hy rmemnt mpdpbkny. Dl D bk` jmmn too loeusm` on k
sdnacm sujgmet ol rmsmkreb, or too smt-dn-stonm wdtb hy pbdcosopbdekc jmcdmls or hy
pmremptdons ol rmkcdty, tbmn D wouc` bkvm hdssm` wbkt tbm ]ndvmrsm wks trydna to sbow
hm. Lortunktmcy, D bkvm hostcy gust loccowm` hy bmkrtkn` aonm wdtb tbm lcow, kn` dt
smmhs to bkvm ldnkccy cm` hm to hy Vurposm.
Hy Vktb bks not kcwkys jmmn kn mksy onm, jut dt wks tbm onm D kppkrmntcy nmm`m`
to bkvm. Po quotm tbm pomt Zojmrt Lrost, Pwo rok`s `dvmram` dn k woo`, kn` D tooi tbm
onm cmss trkvmcm` jy, kn` tbkt bks hk`m kcc tbm `dllmrmnem.Po quotm hy jmst lrdmn` Gom,
Uohmtdhms wm eboosm tbm wrona pktb so tbkt wm hky keed`mntkccy ldn` tbm rdabt eoursm.
LOZMQOZ@ J
D kh mxtrmhmcy arktmluc lor Pmkebmrs wbo bkvm tkimn tbm tdhm to mxpckdn or eonvmy
tbdnas to hm dn k wky D ekn un`mrstkn` kn` rmhmhjmr kn` jm dnspdrm` jy. Pbds dnecu`ms
hy pkrmnts, k lmw sebooc tmkebmrs, smvmrkc aoo` lrdmn`s, kn` hkny vkrdous sedmntdsts,
pbdcosopbmrs, pomts, kutbors, krtdsts, husdedkns, mte. D try to rmpky tbmdr idn`nmss jy now
kttmhptdna to jm k Pmkebmr lor otbmrs, wbdcm kcso kcwkys eontdnudna to jm k Utu`mnt.
Pbm jmst Pmkebmrs krm not tbosm wbo bkvm hmhordzm` tbm host dnlorhktdon, jut
tbosm wbo bkvm loun` wkys to eohhundektm mllmetdvmcy wdtb tbm amnmrkc pujcde. Qbmn kn
mxpmrtrmcdms mntdrmcy on jda wor`s or lkney mquktdons, tbm ckyhkn`oms not arksp tbm
eonempt kn` mvmn won`mrs wbmtbmr tbm mxpmrttrucy inows wbkt bm ds skydna. K rmcmvknt
quotm ds7 Dl you eknnot mxpckdn dt to k ebdc`, you o not un`mrstkn` dt wmcc mnouab yoursmcl.
(Pbds quotm ds oltmn hdskttrdjutm` to Kcjmrt Mdnstmdn, jut tbmrm ds no nmm` to lkcsmcy nkhm
kn kutbor, wm ekn sdhpcy keempt dt ks k ndem knonyhous quotm.) Zdebkr` Lmynhkn, tbm
cktm Nojmc Ckurmktm dn pbysdes, skd` sohmtbdna sdhdckr. Lmynhkn prd`m` bdhsmcl on jmdna
kjcm to `mvdsm wkys to mxpckdn mvmn tbm host proloun` d`mks to jmadnndna stu`mnts. Bm
wks onem ksim` jy k Ekctmeb lkeucty hmhjmr to mxpckdn wby spdn-onm-bkcl pkrtdecms ojmy
Lmrhd-@drke stktdstdes. Zdsdna to tbm ebkccmnam, bm skd`, "D'cc prmpkrm k lrmsbhkn cmeturm on
dt." Jut k lmw `kys cktmr bm toc` tbm lkeucty hmhjmr, "D eouc`n't `o dt. D eouc`n't rm`uem dt to
tbm lrmsbhkn cmvmc. Pbkt hmkns wm rmkccy `on't un`mrstkn` dt."
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Onm ol tbm jmst mxkhpcms ol k armkt Pmkebmr ldn`dna sdhpcm wkys to mxpckdn
eohpcmx topdes eohms lroh Ekrc Ukakns ;426 VJU smrdms Eoshos7 K Vmrsonkc
\oykam, lroh tbm mpdso`m "Gournmys dn Upkem kn` Pdhm". Dn tbkt mpdso`m, Ukakn
`dseussms tbm rm`-sbdlt kn` jcum-sbdlt hmksurm` dn dntmrstmcckr ojgmets, tdhm-`dcktdon
ekusm` jy nmkr-cdabt-spmm` trkvmc ks mxpckdnm` jy Kcjmrt Mdnstmdn's tbmory ol rmcktdvdty,
kn` tdhm-trkvmc kn` dts bypotbmtdekc mllmets on buhkn bdstory. Ukakn mxpckdns kcc tbmsm
kjstrket eonempts jy sdhpcy rd`dna bds jdeyecm dn tbm Dtkcdkn eountrysd`m kn` usdna sohm
vmry prdhdtdvm spmedkc-mllmets to sbow wbkt bds pmrspmetdvm hdabt cooi cdim dl bm wks
trkvmcdna nmkr cdabt-spmm`. Dts jmkuty ds dn dts sdhpcdedty. Po tbds `ky, wbmn D `dseuss tbmsm
eonempts, hy wdlm dhhm`dktmcy vdsukcdzms Ukakn on bds jdeyecm, kn` sbm oncy skw tbm
mpdso`m k sdnacm tdhm smvmrkc ymkrs kao. Pbkt ds tbm powmr ol k armkt Pmkebmr.
Qdtb tbkt dn hdn`, ks D wrdtm tbds jooi, D wdcc try hy jmst to hkim tbm d`mks keemssdjcm
to k wd`m ku`dmnem. Pbds rmqudrms ldn`dna k bkppy hm`duh, k jkcknem, k Hd``cm Qky,
jmtwmmn tbm prmedsm tmebndekc gkraon kn` eohpcmx mquktdons tbkt tbm sedmntdsts wouc`
wknt to smm, kn` tbm sdhpcmr mxpcknktdons kn` `dkarkhs kn` hmtkpbors tbkt tbm eohhon
edtdzmn wouc` qudeicy arksp kn` jm ekptdvktm` jy. Pbm Vurposm ol tbds jooi ds not to hkim
tbm rmk`mr kn mxpmrt dn kny spmedlde ldmc`, jut to qudeicy lkhdcdkrdzm tbm rmk`mr wdtb k vkrdmty
ol hktbmhktdekc kn` sedmntdlde topdes so tbkt tbmy wdcc un`mrstkn` hy proposm` tbmory.
EBKVPMZ ;
Qby krm wm bmrm? Qbkt ds tbm trum nkturm ol Zmkcdty? Qbkt ds Pdhm? Ekn wm
mvmr acdhpsm tbm shkccmst strueturms ol tbm ktohde worc`, or pmmi jmbdn` tbm eurtkdn ol k
hkssdvm jckei-bocm to `dseovmr dts bd``mn smermts? @o worh-bocms kn` bdabmr
`dhmnsdonskn` tdhm-trkvmcrmkccy mxdst, or ds tbkt kcc gust ermktdvm sedmnem-ldetdon? @oms
tbm ]ndvmrsm bkvm k jmadnndna dn Pdhm, or bks dt kcwkys mxdstm`? Qdcc tbm ]ndvmrsm eohmto kn mn` dn Pdhm, or wdcc dt mxdst lormvmr? @oms tbm ]ndvmrsm bkvm joun`krdms dn Upkem,
or `oms dt trucy strmteb out towkr`s Dnldndty?
Pbmsm krm tbm qumstdons tbkt bkvm ekptdvktm` hm lor tbm ckst lmw ymkrs. D tbdni host
pmopcm bkvm pon`mrm` sueb tbdnas kt sohm podnt. D jmcdmvm tbkt ksidna Jda [umstdonsds
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onm ol tbm host dhportknt pkrts ol tbm Buhkn Mxpmrdmnem. Jut ekn wm mvmr ldn` tbm
knswmrs to tbosm qumstdons? Qmcc, wm ekn surm try
Zmemntcy, D wks rmk`dna k pbysdes jooi, wbmn, dn k lcksb ol ermktdvm dnsdabt, D wks
su``mncy mnvdsdondna k ho`mc ol tbm ]ndvmrsm tbkt smmhm` to jm eonsdstmnt wdtbmvmrytbdna D inmw kjout pbysdes up to tbkt podnt. D `ovm `mmpmr dnto tbm jooi, mxpmetdna
mdtbmr to cmkrn sohmtbdna nmw tbkt wouc` sbkttmr hy dhkadnkry ho`mc, or to smm k `dkarkh
ol hy dhkadnkry ho`mc kn` rmkcdzm tbkt sohmonm mcsm bk` kcrmk`y tbouabt ol dt. Po hy
surprdsm, tbm rmst ol tbm jooi eontkdnm` hkny lkets tbkt smmhm` to ldt hy ho`mc, kn` mvmn
posm` k lmw ol tbosm Jda [umstdonstbkt smmh to jm knswmrm` jy hy ho`mc.
Dn tbm loccowdna ebkptmrs, D wdcc try to qudeicy lkhdcdkrdzm tbm rmk`mr wdtb k vkrdmty ol
hktbmhktdekc kn` sedmntdlde topdes so tbkt tbmy wdcc un`mrstkn` hy proposm` tbmory lor knmw undldm` pbysdekc ho`mc ol tbm ]ndvmrsm. Ks k `dseckdhmr, D luccy k`hdt tbkt hkny ol tbm
d`mks to jm `dseussm` wdcc jm strknam kn` eountmrdntudtdvm. Host ol tbmsm d`mks uttmrcy
eonlusm` hm wbmn D ldrst bmkr` tbmh. Jut tbkt strknamnmssds kcso wbkt ekptdvktm` hm,
lor tbm skhm rmkson tbkt D covm` rmk`dna Kcdem's K`vmnturms dn Qon`mrckn kn` Pbrouab
tbm Cooidna-Ackss jy Ebkrcms @o`ason KIK Cmwds Ekrrocc. D kcso luccy k`hdt tbkt hy
proposm` tbmory lor k nmw undldm` pbysdekc ho`mc ol tbm ]ndvmrsm hdabt jm dnekpkjcm ol
tbm usukc sedmntdlde stkn`kr` ol hkidna tmstkjcm prm`detdons, sdnem tbm tbmory `mkcs wdtb
mxtrk `dhmnsdons tbkt our mvocutdon bks cmlt us hostcy unkjcm to pmremdvm or eohprmbmn`,
kn` jmekusm tbm tbmory dnvocvms krmks ol UpkemPdhm tbkt our sedmntdlde dnstruhmnts hky
not mvmr jm kjcm to ldt dnto or survdvm k trdp tbrouab. Uo tbds tbmory hky lormvmr rmhkdn dn
tbm rmkch ol pbdcosopbdekc eongmeturm. Jut hkyjm k ermktdvm mxpmrdhmntkc pbysdedst wdcc
sohm`ky ldn` k wky to provm or `dsprovm tbm tbmory, kn` mdtbmr wky dt wdcc k`vknem our
eoccmetdvm un`mrstkn`dna ol tbm Eoshos. Host dhportkntcy, tbm rmk`mr wdcc bkvm jmeohm
lkhdcdkr wdtb k vkrdmty ol hktbmhktdekc kn` sedmntdlde topdes, kn` bopmluccy wdcc bkvm akdnm`
k nmw kpprmedktdon kn` lksednktdon lor tbm ]ndvmrsm dn wbdeb wm cdvm
EBKVPMZ :