
kregche pramey

ganiteey tarkshastrat, kregche pramey asey sangate qee pratham shreni bhashechya suu-rachalelya sutrancha konatahi punaravruttiyogya gananiy sanch (prathmikdrushtya) punaravruttisathi svayamsiddha aahe. jaree donhi nikalanna tyach tarkshastradnya, william kregche naav denyat aale asale, taree haah parinam suprasiddha kregg prakshepan siddhantashi sambandhit nahee.
punaravarti svayamsiddhikaran.
sootra _ 1 heey pratham-kram sutranchya punaravruttiyogya ganana karnyayogya sanch teechya svayamsiddhanchi ganana asoo dya. aanakhi eka sanch tayar qaraa jyamadhye tii * samavisht aahe
pratyek sakaratmak purnank "i" sathee. tyamule tii * aanee tii chey deductive closure samatulya aahet; purava darshavel qee tii * haah eka punaravarti sanch aahe. tii * sathichi nirnay prakriya khaleel anaupacharik tarkanusar swatah laa udhar dete. tii * chaa pratyek sadasya ektar sootra _ 3 kinwa formcha aahe
pratyek sutrachi lambi maryadit asalyane, teey sootra _ 3 aahe qee nahee kinwa ukt swarupache aahe heey tapasata yete. jarr teey ukt swarupache asel aanee tyat "jeey" sanyog asateel, tarr teey tii * madhye asel jarr (punha udbhavnara) sanyog sootra _ 6 asel; anyatha teey tii * madhye nasel. punha, teechya svayamsiddhanchya gananetoon jaaun aanee nantar abhivyakti eksarkhya aahet qee nahee heey chinh-pratee-chinh tapasoon, sanyog pratyakshat sootra _ 7 aahe qee nahee heey tapasata yete.
adim punaravarti svayampratirodhak.
vareel purava darshavito qee svayamsiddhatechya pratyek punaravruttiyogya gananiy sanchasathi samaan deductive closures svayamsiddhancha punaravrutti sanch asato. jarr sanchatil sadasyatva tharvanare adim punaravarti karya asel tarr svayamsiddhancha sanch haah adim punaravarti asato. sootra sootra _ 8 badaloon ghenyaivaji, adim punaravarti swayambhookaran prapt karnyasathi 
tyaeivaji ekane tyachi jaaga ghetali 
jethe "f" ("x") heey eka asey karya aahe, jeey "i" dile tarr, ganana itihas darshavate, jeey darshavate qee sootra _ 8 heey mool punaravruttiyogya ganana karnyayogya svayamsiddha sutranchya sanchat aahe. adim punaravarti karyasathi formula _ 8 aanee "jeey" prapt karnyasathi form (*) chya abhivyaktiche vishleshan karane shakya aahe. mug, cleanche tii vidhey heey adim punaravarti asalyamule, adim punaravarti karyasathi heey satyapit karane shakya aahe qee "jeey" haah kharokharach aavashyakatenusar gananecha itihas aahe.
tatvik parinam.
jarr sootra 13 haah punaravruttiksham swayampramani siddhant asel aanee aapan tyache andaj done visangat sanch sootra 14 aanee sootra 15 madhye vibhajit karato, tarr shabdasangrah sootra 14 madheel sootra 13 chey teey pramey punaravruttiyogyapane gananiy aahet aanee mhanunach, kregchya prameyavar aadharit, swayampramani. carl jee. hyampelane yavar aadharit yuktivad keela qee vidnyanache serve andaj nirikshan sandnyanchya shabdasangrahat asalyane vidnyanacha saiddhantik shabdasangrah tattvatah kadhoon taknyayogya aahe. tyanni swatah yaa yuktivadavar done aakshep upasthit keleh 1) vidnyanache naveen swasiddhant vyavharikdrushtya avyavasthit aahet aanee 2) vidnyan prerak tark vaparte aanee saiddhantik sandnya kadhoon takalyane nirikshanatmak vakyanmadhil prerak sambandh badaloo shakatat. hiilarii putnam assa yuktivad karatat qee haah yuktivad yaa chukichya kalpanevar aadharit aahe qee vidnyanache ekmev uddisht yashasvi andaj lavane aahe. teey suchavatat qee aaplyala saiddhantik sandnyanchi aavashyakta asanyache mukhya kaaran mhanje aaplyala saiddhantik ghatakambaddal (jase qee vishanu, redio taare aanee prathamik kann) bolayache aahe.