what is the infinite hotel paradox ? is it related to Penrose stairs or Penrose staircase?
Answers
Answer:
What is the ‘The Infinite Hotel Paradox’? Is this related to Penrose stairs/Penrose staircase?
These are two different concepts. The infinite hotel paradox pertains to a hotel with infinite number of rooms in it. It is an imaginary hotel to explain the power of transfinite numbers in set theory.
( the image is a penrose staircase)
This is a Penrose staircase. It is an impossible object to realize. The stairs practically should go down. However, here, they get back to the original position, even though they seem to go down at all edges.
Answer:
These are two different concepts. The infinite hotel paradox pertains to a hotel with infinite number of rooms in it. It is an imaginary hotel to explain the power of transfinite numbers in set theory.
This is a Penrose staircase. It is an impossible object to realize. The stairs practically should go down. However, here, they get back to the original position, even though they seem to go down at all edges.