If a hotel with an infinite number of rooms is full, is there room for more guests?KarrothMelu wrote:Side note: there are an infinite number of infinities.
Re: Count to infinite
#21
Re: Count to infinite
#23In a race, the quickest runner can never overtake the slowest, since the pursuer must first reach the point whence the pursued started, so that the slower must always hold a lead.
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Re: Count to infinite
#24>.> I have a feeling there is no correct answerIstalris wrote:If a hotel with an infinite number of rooms is full, is there room for more guests?KarrothMelu wrote:Side note: there are an infinite number of infinities.
Forum Moderator: The Chill One ~ Gale Points: 52
The only thing standing between me and immortality is death.
Re: Count to infinite
#25Count of Infinite number of rooms is ∞. Room capacity is say = n guests.
So the Guest Capacity = ∞ x n = ∞.
When the Hotel is booked, that is defined as, ∞-∞=0 which is not right cause ∞-∞ is undefined.
IF the new guest arrival count is m, then the possibility for vacancy check would be whether (∞-∞)>m.
As the left hand side is undefined the proposition is invalid.
Hence negating the original question.
Hence the paradox is a fallacy.
So the Guest Capacity = ∞ x n = ∞.
When the Hotel is booked, that is defined as, ∞-∞=0 which is not right cause ∞-∞ is undefined.
IF the new guest arrival count is m, then the possibility for vacancy check would be whether (∞-∞)>m.
As the left hand side is undefined the proposition is invalid.
Hence negating the original question.
Hence the paradox is a fallacy.
Barbaric nomad causing P-A-I-N.
Re: Count to infinite
#26Yes, because there are infinitely many ways to make roomIstalris wrote:If a hotel with an infinite number of rooms is full, is there room for more guests?KarrothMelu wrote:Side note: there are an infinite number of infinities.
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The Trouble Maker
As Swift as the Wind that carries the Sand comes your DEATH
Omega Class Thank You to Devola/Gale for this super amazing sig.
The Trouble Maker
As Swift as the Wind that carries the Sand comes your DEATH
Omega Class Thank You to Devola/Gale for this super amazing sig.
Re: Count to infinite
#27Infinity is fun
Forum Moderator: The Chill One ~ Gale Points: 52
The only thing standing between me and immortality is death.
Re: Count to infinite
#28Infinite fractions:
Try to reach a point by getting close to it by crossing half of the distance on each turn.
Try to reach a point by getting close to it by crossing half of the distance on each turn.
Barbaric nomad causing P-A-I-N.
Re: Count to infinite
#30No wait, it was just a sideways 8
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