William Lane Craig explains Hilbert's Hotel, Infintiy, Kalam
User comments:
[2012-05-22 02:56:28] johnmichaellane1 - So when did he ...
So when did he demonstrate that an actual infinite cannot exist? It would appear he showed the consequenses of a Hilbert's Grand Hotel and then merely asserted that it is impossible without justification.
[2012-05-12 15:15:04] Drgamedood - He even says at 4: ...He even says at 4:33 "It's logically correct for the mathematician. But it's impossible for something like Hilbert's Hotel to exist in reality."
[2012-05-12 15:08:24] Drgamedood - Craig has said ...Craig has said numerous times that mathematicians may use infinite sets. He never claimed there any sort of *Logical* inconsistency for mathematicians using infinite sets. What he attempts to demonstrate in this video is the absurdity of an actual infinite existing in reality. He claims that, while it logically consistent for the mathematician, an actual infinite is metaphysically impossible. It really can't exist in reality.
[2012-05-02 11:52:07] DoctorFreed - Craig should ...Craig should consider the last verse of the famous hymn Amazing Grace: When we've been here ten thousand years Bright shining as the sun. We've no less days to sing God's praise Than when we've first begun. The total number of days left of heaven when you get there is equal to the total number of days left of heaven after you've been there for 10,000 years. By Craig's reasoning, this excludes heaven from being infinite.
[2012-05-02 11:49:05] DoctorFreed - I'm a mathematician ...I'm a mathematician who works with infinite sets just about every day, and I can tell you that this man's reasoning is absurd. If an infinite hotel did exist in reality, then it would be very different to a finite hotel. Yes, you could check someone in even if the hotel was already full (you could check in an infinite number of infinite busloads of people). But that's fine. It's different to a finite hotel, but that doesn't exclude it from being possible.
[2012-04-18 07:01:44] IfUrGivingIn - Can you explain it?Can you explain it?
[2012-01-16 17:27:11] d007ization - How incredibly hard ...How incredibly hard to imagine. I guess intuitive reasoning rules!
[2011-12-21 10:37:32] axljax - This is why ...This is why Christians should submit to the revelation of God, and follow a presuppositional defense of the faith (see the work of Van Til and Greg Bahnsen in particular). The standard of logic and what constitutes its limits is defined by the mind of God. Moreover, if you are a Christian, then you subscribe to the doctrine of heaven- which presents the reality of an infinite number of "happy" events in heaven. He's shot himself in the groin. God is the standard and precondition of logic.
[2011-12-10 21:02:01] LecceDiPane - It seems craig ...It seems craig doesn't actually understand the paradox.
[2011-08-17 20:55:54] pedroamaralcouto - «the paradox of ...«the paradox of Hilbert's hotel involves not just an actual infinite, but also supertasks; it is unclear whether this claimed intuition is really the physical impossibility of an actual infinite, or merely the physical impossibility of a supertask.» ... «a universe could contain an actual infinite hotel, but with a finite speed of light, and hence it would not be able to contain any more guests even if it was full.» (fact-index)
[2011-08-17 20:47:57] pedroamaralcouto - It seems Craig does ...It seems Craig does not understand Hilbert's Grand Hotel paradox. It's only a story about infinites bigger than other infinites (aleph numbers). For instance, rational numbers are numerable, but irrational numbers are not. Proving it's also proved that, although the cardinality of both sets are infinite, there are more irrational numbers than rational numbers. Further scientists accept that, for instance, infinite density is physically possible.
[2011-08-01 08:18:43] AlainG80 - @EpsilonLessThan0 ...@EpsilonLessThan0 William Lane Craig doesn't fully understand the implications of Cantor's set theory. He is presenting a mathematical fallacy here. Another way is to quantize the infinite space time to resolve Xeno's paradoxes. "He is an exceptionally smart man" applies only to scientific illiterate people. These subject require physics and mathematical expertise.
[2011-06-30 08:50:21] EpsilonLessThan0 - He is an ...He is an exceptionally smart man. It's a shame he has a dishonest, mentally-dwarfed, little man being associated with him. I really hope he starts putting up his own videos where he engages comments himself when he can. You do him no service, and you certainly don't do any service to the core of your faith which ultimately asks you to be respectful, loving, and fair.
[2011-06-30 08:44:45] EpsilonLessThan0 - It's ' ...It's 'EpsilonLessThan0' not 'epsilonlessthannegative0' (simple math joke really). It takes infantile thinking to equate asking for fairness and honesty in presenting opposing views with being 'soft'. I don't think you understand his arguments, or the disciplines behind them. You have settled for lionizing him instead of going through the painful, rigorous, process of learning. Perhaps you really are better suited for being a yelping chihuahua nipping at those who disagree.
[2011-06-30 08:21:10] drcraigvideos - Don't get all soft ...Don't get all soft on me now, epsilonlessthannegative0. I'm going to have to take you seriously, you know.
[2011-06-30 07:29:55] EpsilonLessThan0 - Such decency you ...Such decency you show in misrepresenting a comment, mocking it, and blocking any attempt to correct your misunderstanding even though nothing disrespectful was said. I am a math student; you misrepresenting my comment about his probabilistic argument as an attack on probability theory, and proceeding to lecture me on Bayes' theorem, is hilarious. Oddly, you are here asking someone to do the decent thing by giving you credit for your work (I am using 'work' generously here). Idiot!
[2011-05-08 23:36:53] richp860 - @ ...@lolmasterflashw337 So if the idea of something exists, it exists in the external world? No.. just no.
[2010-10-16 17:30:55] UlisFR - An actually ...An actually infinite number of things can't exist ? So how many *real* are there exactely between 0 and 1 ? How many 3s should we count to reach the exact value of 10/3 ? Wikipedia shows the problem as a paradox, not a contradiction. It is actually affirmative about things and not used as a demonstration by absurd but to get conclusions... (read the analysis ... no vacancy, guests welcome !) When it comes to past states of time and past events, this doesn't prevent them to be infinite.
[2010-07-29 19:31:57] drcraigvideos - Hi, if you're going ...Hi, if you're going to upload videos of Dr. Craig I edited and made, I'd appreciate it if you leave a link to the video or my channel. Thanks.
[2010-07-14 03:54:18] TruthWatch - That response is ...That response is typical of someone who cannot for whatever reason admit that the Bible or Christianity could be right about anything. Not all religions got that one right, so if that is hald against them, it should be a credit to Christianity for getting it right.
[2010-07-11 15:49:24] Alexdurrant7 - Unfortunately for ...Unfortunately for you, this in no way does the Bible any favours. The universe either began to exist or it didn't! Guessing the correct option hardly earns the authors of the Bible any credit.
[2010-02-24 04:09:00] megawolf7 - That's Craig's ...That's Craig's point. The example is absurd. You can't have an infinite amount of things in reality. In only exists in the mind. And if you can't have an infinite amount of things then you can't have an infinite amount of events into the past. Thus, the universe is not eternal and had a beginning just like the Bible has said for over 3000 yrs.
[2010-02-23 20:14:20] army103 - Craig himself ...Craig himself doesn't seem to appreciate that Hilbert's hotel was full from the start if he sees absurdity in the example. If a new guest arrived and was given a room in that fashion, there would be one guest forever roaming the halls without a room (although which guest it was would fluctuate). The hotel would never actually accommodate even one additional guest; however many new guests were allowed in, an equal number of existing guests would be left eternally shifting rooms.