07-06-2021, 01:56 AM

@Brandon Gwinn No, the infinite doesn't contain any infinities. Because that would make it more than one infinity. As Ra said, there is only one infinity.

Then how to explain for example Hilbert's Hotel Infinity?

As Ra said, there are no paradoxes. And indeed, the paradox is resolved by observing that there are no, and can never be any, hotels with an infinite number of rooms. Not even in theory. Simple! Yet it's also radical since mainstream science still believes in infinities within infinities.

Then how to explain for example Hilbert's Hotel Infinity?

Quote:"Hilbert's paradox of the Grand Hotel (colloquial: Infinite Hotel Paradox or Hilbert's Hotel) is a thought experiment which illustrates a counterintuitive property of infinite sets. ... Finitely many new guests ... Infinitely many new guests ... Infinitely many coaches with infinitely many guests each" - Wikipedia

As Ra said, there are no paradoxes. And indeed, the paradox is resolved by observing that there are no, and can never be any, hotels with an infinite number of rooms. Not even in theory. Simple! Yet it's also radical since mainstream science still believes in infinities within infinities.