tag:blogger.com,1999:blog-1630809631923025750.comments2018-11-05T21:11:30.506+01:00The Freaky World Of MathFreakyMathhttp://www.blogger.com/profile/18402975501667935895noreply@blogger.comBlogger31125tag:blogger.com,1999:blog-1630809631923025750.post-6123558320073420042018-11-05T21:11:30.506+01:002018-11-05T21:11:30.506+01:00And once Cantor's Hotel was finally built, the...And once Cantor's Hotel was finally built, the two hoteliers started to wonder: of course there can be an even bigger hotel than Cantor's. But can there be a hotel with a number of rooms in between the two? They thought about it day and night, and weren't able to find an answer; finally, many years later, it has been discovered that there's in fact no answer. It can be assumed that there is such a size (cardinality), and this doesn't lead to a contradiction (as long as the set theory axioms themselves are consistent). But likewise, it is possible to assume that no such size exists, and this doesn't lead to a contradiction, either.Mike Rosofthttps://www.blogger.com/profile/15814907647846170547noreply@blogger.comtag:blogger.com,1999:blog-1630809631923025750.post-46727389215782915972018-10-11T05:28:46.033+02:002018-10-11T05:28:46.033+02:00That is true but you can get higher cardinal value...That is true but you can get higher cardinal values than just infinity.For instance aleph null, epsilon naught, omega+1, and many other inaccessible cardinals.Unknownhttps://www.blogger.com/profile/14233236459871909129noreply@blogger.comtag:blogger.com,1999:blog-1630809631923025750.post-81239290747381413122018-03-13T21:23:39.501+01:002018-03-13T21:23:39.501+01:00We are talking about cardinal numbers here, NOT wh...We are talking about cardinal numbers here, NOT what u learned from vsauce.Fvn556https://www.blogger.com/profile/02911546593705188672noreply@blogger.comtag:blogger.com,1999:blog-1630809631923025750.post-16384470747886063142017-05-03T16:53:52.889+02:002017-05-03T16:53:52.889+02:00Actually, that is not true. "The answer to a...Actually, that is not true. "The answer to a division problem is 'How Much One Gets.'" Think of this concept. 15 divided by 5. If there are 15 cookies divided by 5 people, one person gets 3. Answer: 3. If 8 cookies are divided by 16 people, each person gets half a cookie, so one person gets one half. Sometimes answers are infinitely repeating decimals, but it's still a representation of how much one gets. Dividing by zero does not answer and cannot answer how much one gets. Logically, 5 cookies divided by 0 people... how much does one get? That question cannot be answered. There aren't any people. With no people, one person cannot be represented. As soon as you put in one person and try to say that person gets none, you've changed the basis of the equation. You cannot, cannot, cannot answer the question of "How much does one get" when there is not one to begin with.gvorknoreply@blogger.comtag:blogger.com,1999:blog-1630809631923025750.post-17965435673514192492017-04-18T16:42:19.270+02:002017-04-18T16:42:19.270+02:00I remember this riddle, classic! I would always me...I remember this riddle, classic! I would always mess up the answer though and nothing has changed lol. Mind if I share another rope riddle on your blog here: <a href="http://www.riddlesandanswers.com/v/234074/you-have-two-ropes-each-rope-takes-one-hour-to-burn-these-ropes-are-not-identical-nor-are-they-un/" title="Rope Burn" rel="nofollow">Rope Burn</a>Brookehttps://www.blogger.com/profile/17373806334521903091noreply@blogger.comtag:blogger.com,1999:blog-1630809631923025750.post-27637743392305033242016-09-12T16:17:22.228+02:002016-09-12T16:17:22.228+02:00in reality a number can be divided by zero because...in reality a number can be divided by zero because if you divide something 0 times than the answer would just be the sameUnknownhttps://www.blogger.com/profile/08028721531367775476noreply@blogger.comtag:blogger.com,1999:blog-1630809631923025750.post-67791787279488382622016-07-30T22:54:09.549+02:002016-07-30T22:54:09.549+02:00There is some form of math that allows for dividin...There is some form of math that allows for dividing by zero.llirbwerdnadivadhttps://www.blogger.com/profile/04334162894553589015noreply@blogger.comtag:blogger.com,1999:blog-1630809631923025750.post-4893688317989978982016-06-15T06:09:03.061+02:002016-06-15T06:09:03.061+02:00Omega+1 just comes after alef null, it isnt bigger...Omega+1 just comes after alef null, it isnt bigger, howeverDylan Worleyhttps://www.blogger.com/profile/12902862141551987477noreply@blogger.comtag:blogger.com,1999:blog-1630809631923025750.post-39096452252330175062016-05-23T07:26:00.237+02:002016-05-23T07:26:00.237+02:00There are numbers larger than infinity such as (om...There are numbers larger than infinity such as (omega+1).Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-1630809631923025750.post-26723454487795360872016-04-15T22:09:16.336+02:002016-04-15T22:09:16.336+02:00Very observant! Indeed that's lot better. I up...Very observant! Indeed that's lot better. I updated it, thanks!Cynosurahttps://www.blogger.com/profile/15104499162941639770noreply@blogger.comtag:blogger.com,1999:blog-1630809631923025750.post-35237388934525912762016-04-14T23:22:12.074+02:002016-04-14T23:22:12.074+02:00Change the first three "much"es into &qu...Change the first three "much"es into "many"s. Since this article is talking about counting things, you need to use the adverb that describes counting nouns ("rooms" is a counting noun, since you can count them, as opposed to "vacancy", which refers to an unspecified amount of space not being used, like empty rooms). For instance, you can have a hotel with many rooms, or a hotel with much vacancy. It is directly tied to the less/fewer rule. Hilbert's hotel can have fewer rooms than Cantor's, with less vacancy in it. Never will it have less rooms, since you can count rooms. "Fewer" is used with count nouns. "Less" is used with mass nouns, talking about abstract quantities that cannot be counted, such as vacancy.<br /><br />And who says language arts and mathematics never cross paths? Not me!Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-1630809631923025750.post-33735768842144456512016-01-13T23:02:59.654+01:002016-01-13T23:02:59.654+01:00This is tricky, but I kept arguing with my coach t...This is tricky, but I kept arguing with my coach that this answer was right. It's not a mathematical error, Coach!Francesco Rendehttps://www.blogger.com/profile/13937153581395155417noreply@blogger.comtag:blogger.com,1999:blog-1630809631923025750.post-46165276189201114792015-10-12T12:55:36.135+02:002015-10-12T12:55:36.135+02:00Thank you so much for this explanation. I saw this...Thank you so much for this explanation. I saw this puzzle at a random website and the explanation to the solution was really horrible n i was cursing myself for not able to understand that solution, but u saved my day. Thank you!My Blog...by ANKUSHhttps://www.blogger.com/profile/00014021284357093760noreply@blogger.comtag:blogger.com,1999:blog-1630809631923025750.post-1454622275998254492015-10-01T08:43:09.189+02:002015-10-01T08:43:09.189+02:00Any I n f i n i t y -doesn't exist, happen...Any I n f i n i t y -doesn't exist, happen, become, operate, effect, etc. <br /><br />Why? Would take me forever to explain...<br /><br />Eternity -for example- has no time, nor anything involving any infinity...except via grand~illusory imaging...<br /><br />So...IF there is Eternity -if we can express that... what do we do in Eternity?? Well "doing"<br />is another impossible in Eternity! Being IS doable...and doing isn't needed. Just BEING perfect!<br />Michael Harrhttps://www.blogger.com/profile/13272095371844350247noreply@blogger.comtag:blogger.com,1999:blog-1630809631923025750.post-79058685851497348102015-07-07T20:26:54.654+02:002015-07-07T20:26:54.654+02:00It is nice way to hide answers to avoid any spoile...It is nice way to hide answers to avoid any spoilers.Rajesh Kumarhttp://www.funwithpuzzles.comnoreply@blogger.comtag:blogger.com,1999:blog-1630809631923025750.post-49875396863241677112015-07-07T20:22:27.532+02:002015-07-07T20:22:27.532+02:00Nice PuzzleNice PuzzleFun With Puzzleshttp://www.funwithpuzzles.comnoreply@blogger.comtag:blogger.com,1999:blog-1630809631923025750.post-40274683243839260102015-06-11T05:45:22.705+02:002015-06-11T05:45:22.705+02:00Sure you can multiply infinity by infinity but the...Sure you can multiply infinity by infinity but the answer still infinityAnonymousnoreply@blogger.comtag:blogger.com,1999:blog-1630809631923025750.post-63186691332033393652015-06-11T05:44:25.000+02:002015-06-11T05:44:25.000+02:00Technically any number divided by zero is asking h...Technically any number divided by zero is asking how many times can nothing going to that number so the answer would be infinity. 1/0 = ∞Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-1630809631923025750.post-60552373488017023842014-10-08T00:22:47.411+02:002014-10-08T00:22:47.411+02:00Why can't numbers be divided by 0?Why can't numbers be divided by 0?Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-1630809631923025750.post-46604108002824473382014-10-08T00:21:20.684+02:002014-10-08T00:21:20.684+02:00Too many numbers are accountable in this universe....Too many numbers are accountable in this universe. Can infinity be multiplied by infinity?<br />Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-1630809631923025750.post-13601626920100488022014-09-11T01:38:53.395+02:002014-09-11T01:38:53.395+02:00No, it's a logical consequence. The burning ti...No, it's a logical consequence. The burning time of each end must be summed. If they'd meet at e.g. 10 seconds then the whole fuse would take 20 seconds to burn. So the only way it would burn for the stated minute, is if the ends meet after 30 seconds exactly. (Still doesn't have to be the middle of the fuse.)FreakyMathhttps://www.blogger.com/profile/18402975501667935895noreply@blogger.comtag:blogger.com,1999:blog-1630809631923025750.post-20203785425712368182014-09-07T23:37:00.207+02:002014-09-07T23:37:00.207+02:00"The two ends that were lit will meet at exac..."The two ends that were lit will meet at exactly half of the burning time. If this were not true, the fuse could not burn for exactly one minute when lit at only one end."<br /><br />Untrue.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-1630809631923025750.post-20821319678392854542013-11-13T07:58:56.289+01:002013-11-13T07:58:56.289+01:00If i recall correctly, quantum mechanics states th...If i recall correctly, quantum mechanics states that at some level movement is no longer continuous but discrete and you pass the threshold (tortoise), the light is on/off, etc.. Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-1630809631923025750.post-14284818143515618332013-07-11T16:21:26.678+02:002013-07-11T16:21:26.678+02:00Did I miss something? Was the speed of Achilles or...Did I miss something? Was the speed of Achilles or the tortoise given? If not, wouldn't the answer the that first problem be: not enough information?Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-1630809631923025750.post-45619891914305626432013-06-16T01:46:54.405+02:002013-06-16T01:46:54.405+02:00It's 50%. If the experiment was run a large nu...It's 50%. If the experiment was run a large number of times, the person would be right twice as many times by guessing tails. However, they would also be wrong twice as many times. It's like taking a 3 point shot, instead of a 2 point shot. Although it might increase your chances of winning the game, it does not increase your chances of scoring.Justin Shttps://www.blogger.com/profile/01892124244351939822noreply@blogger.com