{"id":355,"date":"2008-06-24T02:29:01","date_gmt":"2008-06-24T00:29:01","guid":{"rendered":"http:\/\/deleet.dk\/?p=355"},"modified":"2008-06-24T02:29:01","modified_gmt":"2008-06-24T00:29:01","slug":"pan-boksen","status":"publish","type":"post","link":"https:\/\/emilkirkegaard.dk\/da\/?p=355","title":{"rendered":"Pan-boksen"},"content":{"rendered":"

GenesisNemesis (herefter GN) ovre p\u00e5 IIDB.org1<\/sup><\/a> har inspireret mig til at skrive dette korte modbevis af pan-boksen.2<\/sup><\/a> Med hvad er en pan-boks? GN skriver:<\/p>\n

Imagine there is a box. This box contains every single possibility, logically and physically.<\/p>\n

Intuitivt kunne man m\u00e5ske ikke finde nogen selvmodsigelse ved denne ide og derfor m\u00e5 kassen v\u00e6re logisk mulig, men en n\u00e6rmere overvejelse viser, at der er en masse selvmodsigelser gemt i pan-boksen.<\/p>\n

Selvmodsigelserne demonstreret<\/strong><\/p>\n

Jeg har konstrueret et modbevis af pan-boksen, det lyder s\u00e5ledes:<\/p>\n

    \n
  1. Antag at en \tpan-boks findes.<\/li>\n
  2. Hvis en \tpan-boks findes, s\u00e5 indeholder den alle logiske muligheder.<\/li>\n
  3. Pan-boksen \tindeholder alle logiske muligheder.<\/li>\n
  4. Hvis \tpan-boksen indeholder alle logiske muligheder, s\u00e5 er alle \tlogiske muligheder aktuelle.<\/li>\n
  5. Alle logiske \tmuligheder er aktuelle.<\/li>\n
  6. Det er logisk \tmuligt at “Emil har en kat” er sandt.<\/li>\n
  7. Det er logisk \tmuligt at “Emil har en kat” er falsk.<\/li>\n
  8. I boksen har \tEmil en kat. (fra 3, 4)<\/li>\n
  9. I boksen har \tEmil ikke en kat. (fra 3, 5)<\/li>\n
  10. Antagelsen \t(1) er falsk, da den leder til en selvmodsigelse mellem (6) og (7).<\/li>\n<\/ol>\n

    Formelt:<\/p>\n

      \n
    1. A<\/li>\n
    2. Hvis A, s\u00e5 \tB.<\/li>\n
    3. B (1, 2)<\/li>\n
    4. Hvis \tB, s\u00e5 “\u25cap\u2192 p”<\/li>\n
    5. \u25cap\u2192 p (3, 4)<\/li>\n
    6. \u25caEK<\/li>\n
    7. \u25ca\u00acEK<\/li>\n
    8. EK (5, 6)<\/li>\n
    9. \u00acEK (5, \t7)<\/li>\n
    10. \u00acA (8, 9)<\/li>\n<\/ol>\n

      Flere besynderligheder<\/strong><\/p>\n

      Hvad betyder det, at noget indeholder (contains) en mulighed? Ordet indeholder giver ikke mening med andet end objekter og muligheder er ikke objekter.<\/p>\n

      1<\/a>“The \tBox Paradox” http:\/\/iidb.infidels.org\/vbb\/showthread.php?t=246594<\/a><\/p>\n

      2<\/a>Wikipedia \t“Pan- as a prefix is derived from the Greek \u03c0\u03b1\u03bd which means ‘of \teverything’, ‘all’ or ‘involving all members’ of a group.” \thttp:\/\/en.wikipedia.org\/wiki\/Pan<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

      GenesisNemesis (herefter GN) ovre p\u00e5 IIDB.org1 har inspireret mig til at skrive dette korte modbevis af pan-boksen.2 Med hvad er en pan-boks? GN skriver: Imagine there is a box. This box contains every single possibility, logically and physically. Intuitivt kunne man m\u00e5ske ikke finde nogen selvmodsigelse ved denne ide og derfor m\u00e5 kassen v\u00e6re logisk […]<\/p>\n","protected":false},"author":4,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[8],"tags":[930],"class_list":["post-355","post","type-post","status-publish","format-standard","hentry","category-filosofi","tag-pan-boksen"],"_links":{"self":[{"href":"https:\/\/emilkirkegaard.dk\/da\/index.php?rest_route=\/wp\/v2\/posts\/355","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/emilkirkegaard.dk\/da\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/emilkirkegaard.dk\/da\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/emilkirkegaard.dk\/da\/index.php?rest_route=\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/emilkirkegaard.dk\/da\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=355"}],"version-history":[{"count":0,"href":"https:\/\/emilkirkegaard.dk\/da\/index.php?rest_route=\/wp\/v2\/posts\/355\/revisions"}],"wp:attachment":[{"href":"https:\/\/emilkirkegaard.dk\/da\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=355"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/emilkirkegaard.dk\/da\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=355"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/emilkirkegaard.dk\/da\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=355"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}