{"id":1793,"date":"2021-08-19T09:25:34","date_gmt":"2021-08-19T07:25:34","guid":{"rendered":"http:\/\/www.antikvar.sk\/blog\/?p=1793"},"modified":"2021-12-08T18:50:38","modified_gmt":"2021-12-08T17:50:38","slug":"kolektivna-imunita-neexistuje-hovori-matematicky-model","status":"publish","type":"post","link":"https:\/\/www.antikvar.sk\/blog\/kolektivna-imunita-neexistuje-hovori-matematicky-model\/","title":{"rendered":"Kolekt\u00edvna imunita neexistuje – metodologick\u00fd fejt\u00f3n"},"content":{"rendered":"

E\u0161te rozospat\u00fd som sa zvalil na stoli\u010dku v kuchyni, kde  u\u017e \u010dul\u00e1 man\u017eelka pop\u00edjala k\u00e1vu a rie\u0161ila Sudoku, ako kulisu mala zapnut\u00e9 r\u00e1dio.  “ Po\u010dula si, \u017ee autor Sudoku ned\u00e1vno zomrel?“ neodpustil som si morb\u00eddnu ot\u00e1zku.  Sudoku nel\u00fa\u0161tim. A\u017e nesk\u00f4r som si uvedomil, \u017ee to, \u010do v z\u00e1p\u00e4t\u00ed zaznelo  v r\u00e1diu, so Sudoku  s\u00favis\u00ed a<\/span> rovnako tie\u017e zosilnilo negat\u00edvny efekt mojej, pre \u0161tart do nov\u00e9ho d\u0148a, \u00faplne nevhodnej ot\u00e1zky.  Z \u00e9teru ma toti\u017e ovalilo (dnes 19.8.2021 niekedy dopoludnia) kon\u0161tatovanie ak\u00e9hosi zrejme matematika-analytika: „Pod\u013ea matematick\u00e9ho modelu, kolekt\u00edvna imunita neexistuje, a preto bude treba v\u0161etk\u00fdch zao\u010dkova\u0165“<\/strong>. P\u00e1n Boh n\u00e1s ochra\u0148uj, pomyslel som si, a nahlas som  kon\u0161tatoval: „To plat\u00ed jedine pod\u013ea n\u00edm vymyslen\u00e9ho modelu“. <\/span><\/p>\n

Dovliekol som sa do ob\u00fdva\u010dky, kde som za\u010dal prem\u00fd\u0161\u013ea\u0165 o matematickom modelovan\u00ed a o modeloch v\u0161eobecne. V kni\u017enici m\u00e1m  nieko\u013eko kn\u00edh, kde  si m\u00f4\u017eem  nie\u010do pripomen\u00fa\u0165, alebo na\u0161tudova\u0165 z oblasti matematick\u00e9ho modelovania a metodol\u00f3gie vedy. Ur\u010dite je tam aj kniha o matematickom modelovan\u00ed v biol\u00f3gii a tie\u017e d\u00e1ka filozofick\u00e1 literat\u00fara z oblasti metodol\u00f3gie vied.  Ak by som zobral do r\u00fak ako prv\u00fa Rozpravu o met\u00f3de svetozn\u00e1meho rak\u00faskeho filozofa, teoretika vedeck\u00e9ho poznania a historika vedy K. P. Feyerabenda \/1924 – 1994\/  a spomenul si na jeho princ\u00edp „anything goes“, <\/span> \u010do ja ch\u00e1pem ako „v\u0161etko sa d\u00e1“, „v\u0161etko je mo\u017en\u00e9“ <\/a>a na pr\u00edklady uveden\u00e9 v jeho knihe a in\u00fdch, \u017ee aj v\u00fdznamn\u00ed vedci svojvo\u013ene interpretovali svoje experimenty, v \u00favah\u00e1ch nepokra\u010dujem a cel\u00fa vec  triumf\u00e1lne, ako typick\u00fd kon\u0161pir\u00e1tor uzavriem s t\u00fdm, \u017ee zase niekto nie\u010do za peniaze \u0161ikovne „vedecky“ zmanipuloval. <\/span><\/p>\n

\u010co je model, nielen matematick\u00fd<\/span><\/h2>\n

Bola to najsk\u00f4r rann\u00e1 strnulos\u0165, ktor\u00e1 sp\u00f4sobila, \u017ee som ostal rad\u0161ej iba pri \u00favah\u00e1ch  o tom, \u010do je vlastne model a kde sa vyu\u017e\u00edva modelovanie. <\/span><\/p>\n

Nie je podstatn\u00e9, \u010di je to model matematick\u00fd, elektrick\u00fd, alebo konkr\u00e9tny, fyzick\u00fd.  D\u00f4le\u017eit\u00e9 je, do akej miery sa dan\u00fd model pribli\u017euje k re\u00e1lnemu objektu sk\u00famania, a \u010do konkr\u00e9tne chceme na \u0148om sledova\u0165. Modelovanie pou\u017e\u00edvame, ke\u010f  je re\u00e1lny objekt  pr\u00edli\u0161 ve\u013ek\u00fd, komplikovan\u00fd, drah\u00fd na pr\u00edpadn\u00e9 zni\u010denie, mohol by n\u00e1s zo\u017era\u0165, keby sme s n\u00edm pri\u0161li do styku, alebo n\u00e1m inak ubl\u00ed\u017ei\u0165. Trabant m\u00f4\u017ee by\u0165 k\u013eudne modelom Ferrari, ma\u010dka modelom psa, Lun\u00edk 9  modelom Slovenska, tsunami m\u00f4\u017eeme modelova\u0165 vo vani a b\u00farku v \u0161erbli.  Samozrejme modelova\u0165 na Trabante klimatiz\u00e1ciu Ferrari  asi len tak jednoducho nem\u00f4\u017eeme, ale regulovanie vn\u00fatornej teploty  otv\u00e1ran\u00edm a zatv\u00e1ran\u00edm okien u\u017e tak\u00e9,  z metodologick\u00e9ho h\u013eadiska, nemo\u017en\u00e9 nie je. Spr\u00e1vanie sa Ferrari na po\u013enej, zablatenej ceste by sa v ur\u010ditom pribl\u00ed\u017een\u00ed dalo. <\/span><\/p>\n

\u010eal\u0161ie pr\u00edklady sa daj\u00fa rozobra\u0165 v podobnom duchu, ale nebudeme sa s t\u00fdm teraz zdr\u017eova\u0165. U\u017e z uveden\u00fdch pr\u00edkladov, m\u00f4\u017ee by\u0165 ka\u017ed\u00e9mu jasn\u00e9, \u010do je model a ak\u00e9 nov\u00e9 poznatky od neho m\u00f4\u017eeme o\u010dak\u00e1va\u0165, ako sa v\u00fdsledky sk\u00famania pribli\u017euj\u00fa k realite sk\u00faman\u00e9ho objektu a  z\u00e1visia vo ve\u013ekej miere od n\u00e1\u0161ho subjekt\u00edvneho v\u00fdberu modelu a interpret\u00e1cie z\u00edskan\u00fdch v\u00fdsledkov. Nezab\u00fadajme tie\u017e, \u017ee model m\u00f4\u017ee by\u0165 tie\u017e n\u00e1hradou skuto\u010dnej veci, ktor\u00fa si nem\u00f4\u017eeme dovoli\u0165. „Dovoli\u0165“ treba ch\u00e1pa\u0165 v tom naj\u0161ir\u0161om zmysle slova.  <\/span>Preto tvrdenie p\u00e1na v rozhlase, \u017ee kolekt\u00edvna imunita v pr\u00edpade kovidu pod\u013ea jeho matematick\u00e9ho modelu nebude, m\u00f4\u017ee by\u0165 k\u013eudne   vycucan\u00e1 z prsta, preto sa nemus\u00edme b\u00e1\u0165. \u0160koda, \u017ee som nezachytil meno toho vedca, mo\u017eno by mi pomohli pri anal\u00fdze niektor\u00e9 skor\u0161ie fejt\u00f3ny napr. Nomen omen<\/a> alebo Dilema<\/a>. Ob\u00e1vam sa, \u017ee z prsta sa v tomto pr\u00edpade necucalo, bu\u010f sa niekomu l\u00edzalo, alebo nie\u010do  konvertabiln\u00e9 padlo doty\u010dn\u00e9mu do vrecka, ke\u010f si   kovidov\u00e1 vedeck\u00e1 celebrita bohorovn\u00fdm sp\u00f4sobom dovolila tvrdi\u0165, iba na z\u00e1klade jeho matematick\u00e9ho modelu, \u017ee kolekt\u00edvna imunita neexistuje a bude potrebn\u00e9 v\u0161etk\u00fdch zao\u010dkova\u0165.
\n<\/span><\/p>\n

Vedeck\u00e1 konferencia na t\u00e9mu kovid<\/span><\/h2>\n

V pr\u00edpade, \u017ee to, \u010do som v rozhlase dnes r\u00e1no v spr\u00e1vach po\u010dul bol len priamy rozhlasov\u00fd vstup<\/strong> z vedeckej  interdisciplin\u00e1rnej   konferencie na t\u00e9mu <\/span>„Zdravotn\u00e9, ekonomick\u00e9 a kult\u00farne dopady kovidu a ich rie\u0161enia“ v Kongresovom centre SAV v Smoleniciach<\/a>,  potom budem musie\u0165 svoju kritiku vzia\u0165 sp\u00e4\u0165. Na takomto f\u00f3re s\u00fa podobn\u00e9 tvrdenia, ak\u00e9 ma pob\u00farili, legit\u00edmne.<\/span> Nakoniec to nemusela by\u0165 ani tak\u00e1 organiza\u010dne a finan\u010dne n\u00e1ro\u010dn\u00e1 konferencia, ale len kovidov\u00fd Hide Park, kde  pred \u013eudom vyst\u00fapili svedkovia kovidov\u00ed a ich oponenti. \u010co nie je a\u017e t\u00e1k\u00e1 ut\u00f3pia. Na  to prv\u00e9 podujatie sa \u0165a\u017eko asi na\u0161li peniaze (nie je politick\u00e1 v\u00f4\u013ea), ke\u010f je priorita kovidov\u00e1 reklama a lot\u00e9ria. Na p\u00f3dium pre Hyde Park  sta\u010dia \u0161ikovne poskladan\u00e9 pevn\u00e9 kart\u00f3nov\u00e9 \u0161katule. Ne\u010faleko Hviezdoslavovho n\u00e1mestia v budove b\u00fdval\u00e9ho hotela Carlton je Tesco, to zrejme zasponzorovalo potrebn\u00fd materi\u00e1l na improvizovan\u00e9 p\u00f3dium.  Ne\u010falek\u00e1 US ambas\u00e1da  svojim \u0165a\u017ek\u00fdm v\u00e1ham z kruhov svedkov kovidov\u00fdch (Mikas a spol.) zapo\u017ei\u010dala z notoricky zn\u00e1mych d\u00f4vodov vysokozdvi\u017en\u00fa plo\u0161inu<\/a>. <\/span><\/p>\n

T\u00e1to posledn\u00e1 mo\u017enos\u0165  je tak\u00e1 in\u0161pirat\u00edvna, \u017ee by bola ve\u013ek\u00e1 \u0161koda, keby i\u0161lo iba o fant\u00e1ziu a jej existencia bola odk\u00e1zan\u00e1 len na tento fejt\u00f3n.  U\u017e len jedna jedin\u00e1 predstava, po akomko\u013evek vyst\u00fapen\u00ed v r\u00e1mci kovid Hyde Parku svedka kovidov\u00e9ho, ju m\u00f4\u017ee prehlu\u0161i\u0165:
\n<\/span><\/p>\n

\"Lenin
Lenin na broneviku<\/figcaption><\/figure>\n

Sranda ma v z\u00e1p\u00e4t\u00ed pre\u0161la, ke\u010f som si pripomenul, \u017ee spolo\u010densk\u00e1 prax jednej \u00e9ry sa op\u00e4\u0165  v novej, sofistikovanej\u0161ej, nebezpe\u010dnej\u0161ej forme opakuje.<\/span><\/h2>\n

 <\/h2>\n

Dodatky1<\/sup><\/span><\/h2>\n

(sta\u010d\u00ed pozrie\u0165 Sociologick\u00e9 modelovanie)<\/a><\/p>\n

Sudoku<\/span><\/strong><\/h3>\n

Pre korektnos\u0165 je potrebn\u00e9  vysvetli\u0165, ako s\u00favis\u00ed hlavolam Sudoku s modelom kolekt\u00edvnej imunity, ke\u010f sme ho spomenuli hne\u010f na za\u010diatku, a pre\u010do som nebol schopn\u00fd z\u00e1js\u0165 do kni\u017enice, veci o matematickom modelovan\u00ed si na\u0161tudova\u0165 z u\u010den\u00fdch kn\u00edh, a potom mudrova\u0165.<\/span><\/p>\n

Asi takto:  <\/span><\/p>\n

V tabu\u013eke Sudoku jej autor  ur\u010dil niektor\u00e9 \u010d\u00edsla, ostatn\u00e9 vy mus\u00edte doplni\u0165, ak\u00e9 spr\u00e1vne  \u010d\u00edsla dopln\u00edte, z\u00e1vis\u00ed od podmienok (predtla\u010den\u00fdch \u010d\u00edsiel a pravidiel) ktor\u00e9 ur\u010dil vopred autor tabu\u013eky. Cel\u00fd proces je v kovidovej modelovej praxi podstatne jednoduch\u0161\u00ed, tie spr\u00e1vne \u010d\u00edsla sa realizuj\u00fa prevodom na \u00fa\u010det toho, kto tabu\u013eku alebo graf v tomto pr\u00edpade  vyp\u013a\u0148a, ak\u00fd pou\u017eil model a tieto v\u00fdstupy vhodne verejne interpretuje.<\/span><\/p>\n

Pravidl\u00e1 Sudoku:<\/span><\/p>\n

\"\"
zdroj https:\/\/sudokuonline.sk\/pravidla-sudoku\/<\/span><\/figcaption><\/figure>\n

Hlavolam Sudoku predstavuje mrie\u017eku s rozmermi 9×9. Do pr\u00e1zdnych pol\u00ed\u010dok l\u00fa\u0161tite\u013e postupne dopl\u0148uje \u010d\u00edsla od 1 po 9, tak, aby sa ka\u017ed\u00e9 \u010d\u00edslo nach\u00e1dzalo pr\u00e1ve jeden kr\u00e1t v: ka\u017edom riadku, ka\u017edom st\u013apci, v ka\u017edom 3×3 \u0161tvorci. Okrem spr\u00e1vneho vyplnenia Sudoku pod\u013ea t\u00fdchto pravidiel je d\u00f4le\u017eit\u00e9 vyl\u00fa\u0161ti\u0165 hlavolam v \u010do najkrat\u0161om \u010dase ( do najbli\u017e\u0161ieho vysielania TV spr\u00e1v – doplnil autor fejt\u00f3nu).<\/span><\/p>\n

Sudoku ako pr\u00edklad modelovania, nie je \u00faplne ko\u0161er, no pomohol mi pouk\u00e1za\u0165 na to, \u017ee je d\u00f4le\u017eit\u00e9, ak\u00fd model, s ak\u00fdmi pohn\u00fatkami a cie\u013eom si model vyberieme a pre ak\u00e9 jeho parametre a vlastnosti sa rozhodneme.  Ide\u00e1lne je, aby bol model zalo\u017een\u00fd na exaktnej vede, kde vl\u00e1dnu nespochybnite\u013en\u00e9 z\u00e1kony,  figuruj\u00fa tam \u010d\u00edsla, ktor\u00fdmi sa d\u00e1 manipulova\u0165, aby to v\u0161etko vyzeralo objekt\u00edvne matematicky a masy sme mohli \u013eahko oh\u00fari\u0165.<\/span><\/p>\n

Mo\u017eno n\u00e1zornej\u0161\u00ed, i ke\u010f nie ove\u013ea lep\u0161\u00ed,  je  pr\u00edklad modelovania priamky s\u00ednusoidou. Na prv\u00fd poh\u013ead sa to zd\u00e1 \u00faplne nemo\u017en\u00e9. Sk\u00fasme, ale postupne, zmen\u0161ova\u0165 jej amplit\u00fadu a zvy\u0161ova\u0165 frekvenciu kmitov, pomaly a isto sa dostaneme k priamke. V pr\u00edpade, \u017ee pou\u017eijeme na zn\u00e1zornenie grafu \u0161tetec miesto ceruzky, nik nepozn\u00e1, \u017ee sa jedn\u00e1 o s\u00ednusoidu. Z\u00e1ver, s\u00ednusoida m\u00f4\u017ee za ur\u010dit\u00fdch podmienok modelova\u0165 priamku. Jednou vetou – v\u0161etko je to o seri\u00f3znosti autora modelu.  Povedzme si na rovinu –  komu a \u010domu m\u00f4\u017eete e\u0161te dnes veri\u0165?<\/span><\/p>\n

\"\"<\/p>\n

S\u00e1m sebe modelom<\/span><\/strong><\/h3>\n

Z d\u00f4vodu objektiviz\u00e1cie procesu anal\u00fdzy zhodnotenia tvrdenia v rozhlase, \u017ee na z\u00e1klade zisten\u00ed pod\u013ea  matematick\u00fdch modelov kolekt\u00edvna imunita neexistuje, som musel pou\u017ei\u0165 tie\u017e modelov\u00fd pr\u00edstup. V tomto pr\u00edpade som pou\u017eil seba,  ako <\/span>fyzick\u00fd model leniv\u00e9ho mudrlanta, ktor\u00fd nebol schopn\u00fd zdvihn\u00fa\u0165 zadok (aj ke\u010f z objekt\u00edvnych pr\u00ed\u010din – rann\u00e1 strnulos\u0165) a \u00eds\u0165 si problematiku komplexne na\u0161tudova\u0165 v svojej kni\u017enici. Mohol som sa tie\u017e obr\u00e1ti\u0165 na studnicu m\u00fadrosti novodob\u00fdch intelektu\u00e1lov Wikip\u00e9diu. A a\u017e potom kritizova\u0165 vedcov-analytikov, pr\u00edpadne uveri\u0165 jedin\u00fdm autorit\u00e1m – politikom a novodob\u00fdm celebrit\u00e1m.  Takto som postupoval  tie\u017e len preto, aby som ilustroval, \u017ee v\u00fdsledky modelovania ur\u010duj\u00fa subjekt\u00edvne podmienky, parametre, ktor\u00e9 si pre svoj model zvol\u00edme, podobne ako v hlavolame Sudoku predtla\u010den\u00e9 \u010d\u00edsla.  <\/span><\/p>\n

V aktu\u00e1lnom kovidovom „Sudoku“ predtla\u010den\u00e9 \u010d\u00edsla ur\u010duj\u00fa farmafirmy, tie biele pol\u00ed\u010dka vypln\u00ed medi\u00e1lne zn\u00e1ma celebrita vedec matematik (v\u0161etci m\u00e1me \u00factu a re\u0161pekt pred exaktnou vedou) a matematick\u00fd model toho, \u017ee kolekt\u00edvna imunita neexistuje je na svete. My sme vystra\u0161en\u00ed a oni si naplnia vreck\u00e1. Sprievodn\u00e9 efekty, ako  je napr. \u00faspora na vypl\u00e1can\u00fdch d\u00f4chodkoch, menej mlad\u00fdch  producentov CO2,  rad\u0161ej nespom\u00ednajme, lebo prepadneme depresii.<\/span><\/strong><\/p>\n

V pr\u00edpade, \u017ee by medializovan\u00fd matematick\u00fd model nebodaj sklamal, st\u00e1le m\u00f4\u017eu vedeck\u00e9 celebrity pou\u017ei\u0165 bulharsk\u00fa kon\u0161tantu z \u010dias, ke\u010f chodili na vysok\u00fa \u0161kolu, ke\u010f na d\u00e1ku \u0161kolu, ktor\u00e1 sa spokojne d\u00e1 nazva\u0165 vysokou, chodili.<\/span><\/strong><\/p>\n

<\/a><\/span><\/h3>\n

Sociologick\u00e9 modelovanie<\/span><\/strong><\/h3>\n

Dopln\u00edm e\u0161te jeden pr\u00edklad z oblasti  ka\u017ed\u00e9mu bl\u00edzkej.  Modelujme si situ\u00e1ciu, \u017ee vl\u00e1da potrebuje zisti\u0165 ak\u00e9 reakcie vyvolaj\u00fa pohromy, ktor\u00e9 na n\u00e1s pod z\u00e1mienkou  postkovidovej doby chyst\u00e1.  Poskovidov\u00e1 doba sa pou\u017e\u00edva na to, aby odp\u00fatala pozornos\u0165 od  svojej neschopnosti, pripadne presadila to, \u010do by si nikdy nemohla dovoli\u0165 ani vyslovi\u0165.  Za na\u0161e peniaze pover\u00ed jej srdcu bl\u00edzku vedeck\u00fa instit\u00faciu, ktor\u00e1 ako model celej spolo\u010dnosti pou\u017eije vzorku 5 probantov. Zl\u00e9 spr\u00e1vy bude modelova\u0165 ich fackan\u00edm. Pokus bude vyzera\u0165 asi takto. Zv\u00fd\u0161ime ceny plynu a elektriny: facka s pravou rukou, hlava probanta sa pohybuje zotrva\u010dnos\u0165ou v smere facky. Do d\u00f4chodku p\u00f4jdete ako 80 ro\u010dn\u00fd – facka \u013eavou rukou. Hlava sa pohybuje v smere facky. Pri malej frekvencii Jobov\u00fdch zvest\u00ed a fackania hlavy probantov poletuj\u00fa z jednej strany na druh\u00fa. V\u00fdsledok pre vl\u00e1du za peniaze da\u0148ov\u00fdch poplatn\u00edkov: „Pomal\u00e9 oznamovanie nepopul\u00e1rnych zmien vyvol\u00e1va  zmeny v postojoch sk\u00famanej vzorky a teda aj cel\u00e9ho obyvate\u013estva. Ob\u010dania maj\u00fa \u010das nes\u00fahlasi\u0165 a b\u00fari\u0165 sa (zistenie neplat\u00ed pre Slov\u00e1kov, preto sa asi nepou\u017eije)“. Ak zv\u00fd\u0161ime frekvenciu fackovania – oznamovanie zl\u00fdch spr\u00e1v – na ur\u010dit\u00fa mieru, hlavy probantov sa z fyzik\u00e1lnych d\u00f4vodov  prestan\u00fa vychy\u013eova\u0165 zo strany na stranu.V\u00fdsledok sa d\u00e1 interpretova\u0165 tak, \u017ee r\u00fdchlu, intenz\u00edvnu, po sebe sa opakuj\u00facu  realiz\u00e1ciu nepopul\u00e1rnych n\u00e1padov vl\u00e1dy, masy ob\u010danov ani nezaregistruj\u00fa. To, \u017ee s\u00fa zblbnut\u00ed ako probanti po fack\u00e1ch, nikoho nezauj\u00edma. D\u00f4le\u017eit\u00e9 je, \u017ee sa m\u00f4\u017eu doplazi\u0165 do Tesca a k volebn\u00fdm urn\u00e1m, pre vakc\u00ednu, a \u010do je k\u013e\u00fa\u010dov\u00e9 – do montovn\u00ed. <\/span><\/p>\n

V\u00fdsledky tohto n\u00e1kladn\u00e9ho, nehum\u00e1nneho modelovania  m\u00f4\u017eme tie\u017e v praxi zabezpe\u010di\u0165 a verejnos\u0165 zahna\u0165 tam kde chceme  tzv. sal\u00e1movou met\u00f3dou<\/strong>, ktor\u00fa filozoficky podopreli u\u017e sofisti a do povedomia modern\u00e9ho \u010dloveka sa dostala, mysl\u00edm si nezasl\u00fa\u017eene, ako Overtonovo okno<\/a>.  K ceste od sofistov k Overtonovi a n\u00e1\u0161mu dobr\u00e9mu uher\u00e1ku sa vr\u00e1tim mo\u017eno niekedy inokedy. Dovtedy odpor\u00fa\u010dam, neveri\u0165 \u017eiadnemu matematick\u00e9mu modelu, ktor\u00e9ho jedin\u00fdm zmyslom je \u013eud\u00ed vystra\u0161i\u0165, aby sa dali lep\u0161ie ovl\u00e1da\u0165 a dosiahnu\u0165 t\u00fdm, aby niekto stihol e\u0161te do jesene dobre preda\u0165, \u010do by nikdy psychicky zdrav\u00fdm, norm\u00e1lnym \u013eu\u010fom, ktor\u00fdch z\u00e1ujmy br\u00e1nia nepodplatn\u00ed politici,  nepredal.
\n<\/span><\/p>\n

 <\/p>\n

    \n
  1. Pre z\u00e1sadn\u00fa kritiku, \u017ee fejt\u00f3n je dlh\u00fd a ne\u010ditate\u013en\u00fd, som jeho \u010das\u0165 oddelil ako Dodatky.<\/li>\n<\/ol>\n

     <\/p>\n

     <\/span><\/p>\n

     <\/p>\n

     <\/p>\n

     <\/p>\n

     <\/p>\n

     <\/p>\n","protected":false},"excerpt":{"rendered":"

    E\u0161te rozospat\u00fd som sa zvalil na stoli\u010dku v kuchyni, kde  u\u017e \u010dul\u00e1 man\u017eelka pop\u00edjala k\u00e1vu a rie\u0161ila Sudoku, ako kulisu mala zapnut\u00e9 r\u00e1dio.  “ Po\u010dula si, \u017ee autor Sudoku ned\u00e1vno zomrel?“ neodpustil som si morb\u00eddnu ot\u00e1zku.  Sudoku nel\u00fa\u0161tim. A\u017e nesk\u00f4r som si uvedomil, \u017ee to, \u010do v z\u00e1p\u00e4t\u00ed zaznelo  v r\u00e1diu, so Sudoku  s\u00favis\u00ed a […]<\/p>\n","protected":false},"author":1,"featured_media":1804,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_uag_custom_page_level_css":"","site-sidebar-layout":"default","site-content-layout":"default","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ngg_post_thumbnail":0,"footnotes":""},"categories":[1,6],"tags":[97,98,95,96],"class_list":["post-1793","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-postrehy-uvahy-aktualne","category-fejtony","tag-manipulacia","tag-model-epidemie","tag-model-kolektivnej-imunity","tag-nanipulacia-pomocou-matematickych-modelov"],"yoast_head":"\nKolekt\u00edvna imunita neexistuje - metodologick\u00fd fejt\u00f3n - DOMOVINA<\/title>\n<meta name=\"description\" content=\"Kolekt\u00edvna imunita neexistuje dokazuje vedec pomocou matematick\u00e9ho modelu. 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