pokkatt settu sidhaantham

pokkatt settu sidhaantham (pii. ezz. tii) ennathu rund ananthamaaya cardinal samkhyakal mathramulla oru badal settu sidhaanthamaanu, α0 (alef-nottu, ellah swaabhaavika samkhyakaludeyum koottatthinte cardinality), "sii" (thudarchayude cardinality). rudy rucker thante "ananthathayum manasse" enna kruthiyilaanu eee sidhaantham aadyamaayi nirddeshichathu. eee entriyil paranjirikkunna vishadaamshangal american ganithashaasthranjanaaya randall emm kaaranamaan. holms.
pst pinthunaykkunna vaadangal.
pst polulla oru cheria settu sidhaanthathinu anukoolamaayi kuranjathu rund swatantra vaadangalenkilum undu.
athinaal, kaantorinte ananthamaaya ananthamaaya shreni anaavasyamaanennu chinthikkaan kaaranangalund. pokkatt settu sidhaantham rund ananthathakal maathram anuvadikkunna oru "minimalistik" settu sidhaanthamaanu (staanderd) naachural nambarukalude cardinality formula _ 1 umm (staanderd) realukalude cardinality formula _ 2 umm.
sidhaantham.
pst aidantittiyodukoodiya staanderd phastt-oordar bhashayum bainari relation chihna formula upayogikkunnu. saadhaarana variableukal upper cases "x", "y" muthalaayavayaan. uddeshicha vyaakhyaanathil, iva klaasukale soochippikkunna variableukal, aattomik formula formula _ 4 ennaal "klaas" x "ennathu klaas" y "yude oru gadakamaanu. oru klaasinte oru gadakamaaya oru klaasaanu "settu". cheria cases variableukal "x", "y" muthalaayava. settukalkkaayi nilakolluka. oru "sariyaaya klaas" ennathu oru koottamallattha oru klaasaanu. rund klaasukal thammil oru bijection undengil avaa "equinerous" aanu. oru klaas athinte sariyaaya upavibhaagangalilonnin thulyamaanengil athu "ananthamaanu". pst yude soothravaakyangal ivayaanu
chila pii. ezz. tii sidhaanthangal.
melpparanja vasthuthakal pariharichukazhinjaal, inipparayunna phalangal theliyikkaan kazhiyum
pii. ezz. tii. inipparayunnava parishodhikkunnu
ellah settukaludeyum susthiratha pst-yill theliyikkaano nishedhikkaano kazhiyilla.

