Логика и Психология

Hilbert’s Paradox of the Grand Hotel

Today I read about Hilbert's paradox of the Grand Hotel (shame, only today) and I was struck by the illogical human thinking. That's right! Paradoxes are nothing but illogical thinking. Hilbert's paradox goes like that:

Consider a hypothetical hotel with a countably infinite number of rooms, all of which are occupied. One might be tempted to think that the hotel would not be able to accommodate any newly arriving guests, as would be the case with a finite number of rooms.[Read the rest in Wikipedia]
When for some stupid reason we create infinity, we create it from objects with same properties. Right? We can have an infinite number of apples, or an infinite number of shoes, or an infinite number of shoe pairs. What do we have in Hilbert's case? (още…)