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Scritti sui fondamenti della matematica PDF

158 Pages·1982·7.68 MB·Italian
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JW.. RD.E DEKIND SCRITTSIU IF ONDAMENTI DELLAM ATEMATICA a curdai F ranceGsacnoa BIBLIOPOLIS Titoolrii ginSatlie:t iugnikdrre aitti Zaohn/aen.l e Was sinudnw das sol/deinZahe l en. TraduzidoiFn rea nceGsacnoa Proprieletàt terarriias ervata ISB8N8 -7088-068-<l Copyrig©h 1t98 2 by" Biblioepdoilziisdo,inf ii loseos fciiae nszpea " Napolvii,Aa r angRiuoi 8z3 INDICE INTRODUZIONE 9 1I.d seuenl altadu erniau meri 14 2.La 'nadleilslie nnuomzeiroincih e 36 Riferibmiebnltiio grafici 55 CronodleovlgilidtaaJia u lWiiulsh ReilcmhD aerdde kin5d7 Notaalp lrae seednitzei one 59 61 SCRITTI SUFIO NDAMENDTEILL AM ATEMATICA Contienn uumiietàrrr aiz ionali 63 1.P ropdreinieu tmàer raizi onali 65 2.C omparadzeniiuo mnerera iz icooninpa ulnidt ii unrae tta 66 3.L ac ontidneurlielttaàt a 67 4.L a credaenziui moeinrreir azionali 70 5.L ac ontidneduloi mtiàdn eniiuo m erreial i 73 6.Ic la lccooinnl uom erreia li 75 7.A nailnifsiin itesimale 76 Chceo ssoaen coah es ceorvsoinan u om eri? 79 Prefaazlpilroain emeda i zione 79 Prefaazlsileoacn oeen ddiaz ione 85 Prefaazltileoarne zeda i zione 87 1.S isdteiel meim enti 87 2.R apspernetadzuiin so inset ema 90 3.S imildiuitn urada ipnper iesoenSneit.sa stziemmiil i 92 4.R appresednuitn sa izsiitosennem e a s tesso 94 5.If li neli i'tnof inito 98 6.S tiesmsie mplicienmfeiSnnetirdetien ieiu. m eri naturali 100 7.N umremia ggeim oirnio ri 102 8 INDICE 8.P arftiinei i ntfeid neisltelnerau i mee rica 108 9.De finpiezirin odnuezd iio rnuaenp ap resentazione deslelnraui mee rica 101 10L.ac ladsessiie s steemmpil iicnefmiennittei 115 11A.d dizdienoiun mee ri 171 12M.o ltipldienciua mzeiroin e 120 13E.l evadmeeninu tmoeap r oit enza 122 14I.nl u medreiol emdein stuiins ftienmiat o 123 Dalclao rrispoenndtzraDa e kdieneLd i pschitz 129 Dalclao rrispondentzrDaae kdeinedW e ber 141 Dalclao rrispotnrDdaee kdenizneaKd e efrstein 147 INTRODUZIONE Nediu lea vLao croin tei niu intàiurr maezriCioh nceao lssioa n eo e cah see rr;oinn ou mrie(?c hdoe'r ian a vanti isnadriacnantoi , brevemceonmCteoe n,t ieNn uumie)tànD espocnoemè,en otloa, sutae odreiniau merreiael l asiu tae odreiniau menrait uErsaslii . sonsot pautbib lriicsapteit ti1v78a2emn een1lt8 e8m 8an, le lolar o origèmi onlep troe cteeDd. es ntecsiis nof o�rp m6.aD3 c*h lea teodrali uaei s posta coimnCp oinuttiarnmieusanialpttàl re ei mo anndoe l isnusoe gnaaPlm oelnittode iZc unriicalgloo'o t,t odberle 1588e,l ap rismtae sduiNr umae rrii saaglaleni n1 i78- 2817(8c fr. Duga1c79,6p ,2. 93U)nt. a slcea trrtiaoml o mendtecolo ncepi­ menetq ou edlellpolu ab bliscsiap ziiseoogtnlaeeo n epnrdeosl ean te novitpàr odbetllieldcmaiDaa ceo nseguelnast uecamo ennvtien ­ ziocnhteea rliic enrocpnho et eisnsteerrore esaslamimre aent teem a­ tidcait coh ep,el ra r icemractae mvaetrieacp ar opergillaei, considdeetlru atsvttaoe � rv ip.lp 6i.4 e 1 3-63D7 . Ses tii epnree scehnletpa er igmraa rnedael izmzaatzeimoan�ei ca dDi ,l sau tae odreigiald ieè as ltita,te ar mtirniaa1l 6t8 9ai 1le78 0( e prontapmuebnbtleii nDc iartiac1 7h81lse)ivt e dcehq eu edsutei capictoanltir ailbluot ids etfiuo dnidoa mdeenlmtlaiat ematica sonfor udtitu on ar iflemsosliptorone ec noeclesl tao dreilal a produiznitoenleld eiDt ,ut nuraai lfel ecshsheia lo esn uere a dici prinmeepl r ofoinndtoep reersr salege is oongig iaalcnleaans tcii ta delvlaern ioez inounmie riche dmaDa gniniàef leslsutatae a dstiio laudree1la58 2( relGaatuo(srvsDe.)e dek1i9n3d01 ,2- 6.p) p. NumereCi o ntisnpiuo istàsc oonlol soeccaorned op rdoi­verse spetsttiiocvrhece o:mu en taa pipnai zdiealnllaeas dceiltclaoa n ce­ ziofnoen dazcihaoimnaaptloae'i o l gic'ic,si monoèe lsltaod reila progrdaifm omnad lamara et emsaubt aipscuiar amleongtiqecu hie ; D occupeurnpe obsbitemo p ormtaan notpner ,i m(aer irdoee slt o ancuhnpe o ' pecuslviie adrqreuà,a) nm,cte oonm oel papr eers enza accaanl tudoiiF recgheèe,i vle rpoa dfroen dadtelolorgei cismo. * rli amndriac chituarsp air entqeuasdir deo ppsioen soe mprrieamn diin tearlpn rie ­ senvtoel ume.

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