JotD / QotD Ελληνική Λίστα Κουίζ (QotD)


Θέμα: Ippotes & paliatsoi


From: Skouteris Dimitris (dimitris(@)impact.dyn.unipg.it)
Date: Δευ 07 Απρ 2003 - 15:42:28 EEST

Kalhmera !

Auto edw to provlhma to eixa 3anasteilei pro kairou, alla den pnighka kai stis apanthseis... Opote to 3anastelnw edw na doume pws 0a e3elix0ei twra.

Einai parmeno apo to vivlio grifwn tou Raymond Smullyan 'Forever Undecided: A Puzzle Guide to Goedel'.

Sto nhsi twn ippotwn kai twn paliatswn oi ippotes kanoun panta alh0eis protaseis enw oi paliatsoi panta yeudeis. Fusika, ek prwths oyews de mporei kaneis na 3erei an enas katoikos einai ippoths h paliatsos.

Enas episkepths sto nhsi (kanonikos an0rwpos) akouei apo enan ntopio thn e3hs protash :

'De 0a pisteyeis pote oti eimai paliatsos.'



Provlhma 1. O episkepths anhkei sto eidos ekeino twn an0rwpwn pou pisteuoun oti einai panta akriveis. Kata th gnwmh tou, einai adunaton na pisteyei kati esfalmeno.

Ti einai o i0agenhs (ippoths h paliatsos) ; Ti 0a pisteyei gi' auton o episkepths (an pisteyei kati) ;



Provlhma 2. O episkepths einai PRAGMATI panta akrivhs. Einai adunaton na pisteyei kati esfalmeno.

Ti einai o i0agenhs ; Ti 0a pisteyei gi' auton o episkepths (an pisteyei kati) ;


DIEUKRINISEIS :

  1. Ta duo provlhmata einai ANE3ARTHTA meta3u tous. Mh xrhsimopoihsete upo0esh tou enos provlhmatos gia to allo.
  2. 'Akrivhs' de shmainei 'pantognwsths'. To oti de mporei na pisteyei kati esfalmeno de shmainei aparaithta pws pisteuei otidhpote einai swsto.
  3. To na isxuei tautoxrona mia protash kai h anti0eth ths sunista fusika logiko parado3o kai ws ek toutou atopo. Wstoso, to na PISTEUEI kapoios ALLOS mia protash kai thn anti0eth ths tautoxrona, an kai proupo0etei mia kapoia sxizofreneia ek merous tou, den sunista logiko parado3o.
  4. De mas apasxolei kai den exei shmasia to pws o ntopios katelh3e na pei auto pou eipe. Auto pou 3eroume me sigouria einai oti, an einai ippoths, einai alh0es. An einai paliatsos, einai yeudes. Kai o episkepths 3erei akrivws ta idia pragmata.

Kalh prospa0eia se osous to dokimasoun.

Kala na pernate,

Dimitris

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