Lord J Posted December 15, 2002 Share Posted December 15, 2002 [hide] How about 51?"One plus one plus one plus one plus one plus one plus one plus one plus one plus one plus one plus one plus one plus one plus one plus one plus one plus one plus one plus one plus one plus one plus one plus one plus one..." ;)[/hide] Quote Link to comment Share on other sites More sharing options...
emprworm Posted December 15, 2002 Author Share Posted December 15, 2002 but i can describe that number in just two words: [hide]fifty one[/hide] Quote Link to comment Share on other sites More sharing options...
Edric O Posted December 15, 2002 Share Posted December 15, 2002 [hide]"1 followed by an infinity of zeroes" - I just described an infinitely large integer number in 7 words. :) We know that we cannot compare infinite values. One infinity cannot be larger than another. Therefore you cannot have a number larger than the one I gave you.[/hide] Quote Link to comment Share on other sites More sharing options...
VigilVirus Posted December 15, 2002 Share Posted December 15, 2002 [hide]How about 1?One whole 0 tenths 0 hundredths 0 thousandths... [/hide] Quote Link to comment Share on other sites More sharing options...
emprworm Posted December 15, 2002 Author Share Posted December 15, 2002 perhaps you guys are misreading the question:it is the SMALLEST whole integer that cannot be described in less than 100 words. Quote Link to comment Share on other sites More sharing options...
emprworm Posted December 15, 2002 Author Share Posted December 15, 2002 vigilent. i can describe that integer in one word:[hide]one[/hide] Quote Link to comment Share on other sites More sharing options...
VigilVirus Posted December 15, 2002 Share Posted December 15, 2002 [hide]1, followed by 99 more 1's as in 1.11111... ^10*100[/hide] Quote Link to comment Share on other sites More sharing options...
rogue1896 Posted December 15, 2002 Share Posted December 15, 2002 well sicne its a riddle i suppose there is some kind of trick to it. there always is. so i'll have to say...[hide]dunno yet, i'll modify it soon[/hide] Quote Link to comment Share on other sites More sharing options...
Edric O Posted December 15, 2002 Share Posted December 15, 2002 Oh, got a little confused there...[hide]So, basically, we must prove that you can describe any integer in less than 100 words. Hmmm...[/hide] Quote Link to comment Share on other sites More sharing options...
Edric O Posted December 15, 2002 Share Posted December 15, 2002 [hide]This is most likely a stupid idea, but here goes:Write the actual number on a piece of paper. Then you can describe it as "the number written on that piece of paper".[/hide] Quote Link to comment Share on other sites More sharing options...
rogue1896 Posted December 15, 2002 Share Posted December 15, 2002 actually that seems right. now that you say it. b/c like i said there was obviously some kind of trick behind it. so then some thing like.[hide]this is just for example, i'm not sure if it'd take 100 words to say. 14652345648946546543498453498198156349813654984635498the answer would be, 'The number written above this message.'[/hide] Quote Link to comment Share on other sites More sharing options...
VigilVirus Posted December 15, 2002 Share Posted December 15, 2002 It would take 100 words to say anything that is composed of 100 numbers (not 0's though), like I said earlier - the easiest digit would be:[hide]1 - one hundred one's as in 1.111111...^10*100[/hide] Quote Link to comment Share on other sites More sharing options...
Andrew Posted December 15, 2002 Share Posted December 15, 2002 but i cant read what it says at the bottom of the picture >:(<insert laughter here> (at least i dont think your supposed to see it) Quote Link to comment Share on other sites More sharing options...
Andrew Posted December 15, 2002 Share Posted December 15, 2002 [hide] you cant see what it says on bottom so you assume x therefore it is not a finite # ??? [/hide] Quote Link to comment Share on other sites More sharing options...
rogue1896 Posted December 15, 2002 Share Posted December 15, 2002 It would take 100 words to say anything that is composed of 100 numbers (not 0's though), like I said earlier - the easiest digit would be:[hide]1 - one hundred one's as in 1.111111...^10*100[/hide]but i can say that in three words[hide]one hundred ones[/hide] Quote Link to comment Share on other sites More sharing options...
VigilVirus Posted December 15, 2002 Share Posted December 15, 2002 There comes in the main question:Your challenge:Can you give a logical demonstration for the non-existence of this number?[hide]Anything can be expressed as less than a hundred words, except for irregular numbers - but we are only talking about whole numbers. The only ones that I can think of that won't follow this are:e^10*100pi^10*100But once again those are irregular and are not part of the problem.The rest - ones that repeat can be said as follows:*number of digits* *repetitive part*But there once again comes the question, what if there are not repetitive parts like:1264726178129547537453072543802754781235403754023750785236547235473503715423784502378542378145237453547802354732540723145238567845794569104560426591057840561037465910374690716590 or something like that.There are infinitely many numbers like that, so finding one that is the lowest is practically impossible. And also - you can use words like eleven and twelve - which are 2 digits in 1 word.[/hide] Quote Link to comment Share on other sites More sharing options...
Acriku Posted December 15, 2002 Share Posted December 15, 2002 [hide]Because you can assign a variable to it. Assign variable 'I' to the biggest number you can think of. Now to say the number, just say 'I'.[/hide[[/hide] Quote Link to comment Share on other sites More sharing options...
emprworm Posted December 15, 2002 Author Share Posted December 15, 2002 well, looks like i got everyone stumped on this one... hehe Quote Link to comment Share on other sites More sharing options...
Anathema Posted December 15, 2002 Share Posted December 15, 2002 Hmmm....tough one. Quote Link to comment Share on other sites More sharing options...
Acriku Posted December 16, 2002 Share Posted December 16, 2002 Ok let me get this straight. You want me to find why it is impossible to have any number explained over 100 hundred words? Quote Link to comment Share on other sites More sharing options...
emprworm Posted December 16, 2002 Author Share Posted December 16, 2002 the funny thing is that when you hear the answer you will be literally slamming your head into the desk.well, ok maybe not that bad, but it would be really funny to see everyones face when they finally read the answer. ;D Quote Link to comment Share on other sites More sharing options...
Acriku Posted December 16, 2002 Share Posted December 16, 2002 And maybe you can answer my question? lol... Quote Link to comment Share on other sites More sharing options...
sneezer3 Posted December 16, 2002 Share Posted December 16, 2002 the funny thing is that when you hear the answer you will be literally slamming your head into the desk.well, ok maybe not that bad, but it would be really funny to see everyones face when they finally read the answer. ;Dthe funny thing is that when you hear the answer you will be literally slamming your head into the desk.well, ok maybe not that bad, but it would be really funny to see everyones face when they finally read the answer. ;Dhmm. can we give more then one answer? ;D well. hear goes it'l probbly at lest get you guys to thinking ;D[hide]Here are some possableitys#1 Infenty. this says it all in 1 word and you cannot go behond Infenty.#2 Anything that has in it "One hundred words" and says Infenty.#3 anything that says 100 then Infenty#4 Anything that says Infenty.#5 nine to the one hundreth power.#6 One hundred words. by the way the answer is infenty#7 i'm on to you! i'l look at your post some more and see if i can find anything that looks a little odd! ;D#8 it could also have something to do with fed2k or dune2k or 2000 since its the fed2k magic number. perhaps two thousend or 2000?[/hide] Quote Link to comment Share on other sites More sharing options...
emprworm Posted December 16, 2002 Author Share Posted December 16, 2002 ok, looks like no one is gonna get this eh? Quote Link to comment Share on other sites More sharing options...
Edric O Posted December 16, 2002 Share Posted December 16, 2002 I give up. :( Quote Link to comment Share on other sites More sharing options...
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