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Book synopsis

V dannoy knige issleduetsya deduktivnaya sila izvestnogo teoretiko-mnozhestvennogo printsipa refleksii ili otrazheniya. Pokazyvaetsya, chto vvedenie etogo printsipa v sisteme mnozhestv i klassov pozvolyaet vyvodit' ochen' sil'nye utverzhdeniya, svyazannye s bol'shimi kardinalami. Pri etom prikhoditsya vmesto aksiomy "kazhdoe mnozhestvo est' klass", vvodit' spetsial'nyy "printsip intensional'nosti". Togda, problema neprotivorechivost' rassmatrivaemykh printsipov svoditsya k neprotivorechivosti klassicheskoy teorii ZF , rasshirennoy tak nazyvaemoy "aksiomoy soglasovannogo vybora" . Eta aksioma dostatochno prosto formuliruyutsya privychnymi terminami v yazyke ZF . Avtor nameren priderzhivat'sya chisto sintaksicheskogo podkhoda, no v tselyakh oblegcheniya chitaemosti teksta inogda govoritsya ob universumakh, modelyakh, i upotreblyayutsya vyrazheniya vida "vypolnyaetsya", "verno", "imeet mesto" v dukhe neformal'nogo izlozheniya.

Book details

• Full title: Original'nye printsipy mnozhestv i bol'shie kardinaly
• Author: Ganov Valeriy
• Language: Russian
• Binding: Paperback
• Number of pages: 84
• EAN: 9783639490275
• ISBN: 3639490274
• ID: 09178703
• Publisher: Palmarium Academic Publishing
• Weight: 136 g
• Dimensions: 229 × 152 × 5 mm
• Date of publishing: 01. December 2014

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