Abstrakt
Článek popisuje specifickou fázi ontogenetického vývoje porozumění nekonečnu nazývanou pozice omega, jejíž identifikace je jedním z výsledků rozsáhlého výzkumu zaměřeného na vnímání pojmu nekonečno. Prvních dvou částí výzkumu se v letech 2008 až 2011 postupně zúčastnilo celkem 1 432 českých žáků a studentů ve věku od 8 do 20 let. V článku je podrobně popsána závěrečná kvalitativní část výzkumu zaměřená na interview s vysokoškolskými studenty s cílem diagnostikovat tuto fázi v jejich pojetí nekonečna v různých kontextech. Článek popisuje možnosti identifikace pozice omega a její konsekvence pro úspěšné studium těch pojmů a idejí matematiky, které jsou spjaty s nekonečnem. Dává ji dále do souvislosti s potenciálním a aktuálním nekonečnem, vymezuje jednotlivé vývojové fáze pomocí pojmu horizont a vysvětluje možnosti vzájemného ovlivňování zmíněných vývojových fází s využitím pojmů primární a sekundární intuice.Reference
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