Emprworm's Riddle #17: Mess of Tokens

[Lord J]

[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]

[emprworm]

but i can describe that number in just two words:

[hide]

fifty one

[/hide]

[Edric O]

[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]

[VigilVirus]

[hide]

How about 1?

One whole 0 tenths 0 hundredths 0 thousandths... [/hide]

[emprworm]

perhaps you guys are misreading the question:

it is the SMALLEST whole integer that cannot be described in less than 100 words.

[emprworm]

vigilent. i can describe that integer in one word:

[hide]

one

[/hide]

[VigilVirus]

[hide]

1, followed by 99 more 1's as in 1.11111... ^10*100[/hide]

[rogue1896]

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]

[Edric O]

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]

[Edric O]

[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]

[rogue1896]

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.

14652345648946546543498453498198156349813654984635498

the answer would be, 'The number written above this message.'[/hide]

[VigilVirus]

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]

[Andrew]

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)

[Andrew]

[hide] you cant see what it says on bottom so you assume x therefore it is not a finite # ??? [/hide]

[rogue1896]

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]

[VigilVirus]

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*100

pi^10*100

But 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]

[Acriku]

[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]

[emprworm]

well, looks like i got everyone stumped on this one... hehe

[Anathema]

Hmmm....tough one.

[Acriku]

Ok let me get this straight. You want me to find why it is impossible to have any number explained over 100 hundred words?

[emprworm]

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

[Acriku]

And maybe you can answer my question? lol...

[sneezer3]

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

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

hmm. 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]

[emprworm]

ok, looks like no one is gonna get this eh?

[Edric O]

I give up. :(