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What's the largest number you can come up with?


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#21 Luckless   Crossbones+   -  Reputation: 1891

Posted 28 July 2011 - 02:43 PM


The largest valid response in this thread, +1.


That's a paradox.

Unless you're acknowledging that your response will not be valid. Because if yours is valid, then you will have to add 1 ad infinitum.


Only if you insist on looping over this for no reason.

Run through the thread and find the largest valid response. (It isn't mine to start with, because "The largest Valid Response in this Thread" is not, by itself, a number.) Take that value, add 1.

Operation complete, there is no reason to repeat the procedure.
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#22 sooner123   Members   -  Reputation: 241

Posted 28 July 2011 - 02:58 PM



The largest valid response in this thread, +1.


That's a paradox.

Unless you're acknowledging that your response will not be valid. Because if yours is valid, then you will have to add 1 ad infinitum.


Only if you insist on looping over this for no reason.

Run through the thread and find the largest valid response. (It isn't mine to start with, because "The largest Valid Response in this Thread" is not, by itself, a number.) Take that value, add 1.

Operation complete, there is no reason to repeat the procedure.


Sorry. You're just wrong.

rip-off did it correctly.

It's not about amount of loops. If you "loop through" once or twice or any amount of times, at the end, yours will then be the largest value in the thread, yet it was defined as the largest value in the thread + 1, and doesn't satisfy its own definition.

#23 Luckless   Crossbones+   -  Reputation: 1891

Posted 28 July 2011 - 04:35 PM

Seriously? "Just wrong", based on what?

Make a list of numbers from 1 to 10.
Find the largest and add 1 to it.
Append new value to the end of the list.
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If your signature on a web forum takes up more space than your average post, then you are doing things wrong.

#24 speciesUnknown   Members   -  Reputation: 527

Posted 28 July 2011 - 04:45 PM

I've never use BigInteger or any of the equivilants in any language, so my answer is 2^64. If I need a number bigger than that, I probably wont be displaying it without exponents, and so will not be able to "see" the number, let alone give it a name.

I did once implement an infinite-length integer calculator program in pascal, in college, as a programming assignment. But, I never bothered to test it beyond 50 digits, and I cant remember any of those numbers.
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#25 sooner123   Members   -  Reputation: 241

Posted 28 July 2011 - 05:24 PM

I've never use BigInteger or any of the equivilants in any language, so my answer is 2^64. If I need a number bigger than that, I probably wont be displaying it without exponents, and so will not be able to "see" the number, let alone give it a name.

I did once implement an infinite-length integer calculator program in pascal, in college, as a programming assignment. But, I never bothered to test it beyond 50 digits, and I cant remember any of those numbers.


You might mean 2^64 - 1

#26 ApochPiQ   Moderators   -  Reputation: 16419

Posted 28 July 2011 - 06:31 PM

10.


(This is a deep ArenaNet inside joke. Sorry.)

#27 Hodgman   Moderators   -  Reputation: 32000

Posted 28 July 2011 - 06:32 PM

cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc

#28 sooner123   Members   -  Reputation: 241

Posted 28 July 2011 - 07:04 PM

Seriously? "Just wrong", based on what?


I explained why you were wrong after I said "just wrong"


I didn't, as you imply, stop at that and not attempt to explain.

Make a list of numbers from 1 to 10.
Find the largest and add 1 to it.
Append new value to the end of the list.


This wasn't what you said and it wasn't the prompt.

You said: "largest valid response in thread" + 1.

If this generated a valid response, it would not be "largest valid response in thread" + 1. it would only be "largest valid response in thread"

if it generated an invalid response, then it was invalid.

rip-off did it correctly. because he had the cleverness to omit his post from the calculation.

#29 Luckless   Crossbones+   -  Reputation: 1891

Posted 28 July 2011 - 07:44 PM

a = 1

a = a + 1


What is the value of a?

If you claim my answer is wrong, then the a = a + 1 would compute out to infinity.
Old Username: Talroth
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#30 Hodgman   Moderators   -  Reputation: 32000

Posted 28 July 2011 - 07:54 PM

a = a + 1
[solve for a]

Mathematically speaking, isn't this statement false? Or it describes some kind of non-real number that's always greater than itself.
(yes, I know it's supposed to be a step of a procedure, not an equation....)

This is a maths topic, right?

Your 'make a list' post (which describes a procedure) isn't at all equivalent to your first post, which describes a paradoxical statement. Stop trolling.

#31 HappyCoder   Members   -  Reputation: 2887

Posted 28 July 2011 - 08:11 PM

10^(10^10)

#32 Oberon_Command   Crossbones+   -  Reputation: 1975

Posted 28 July 2011 - 08:38 PM

x∈ℝ: ∀i∈ℤ, i < x < ∞.





#33 sooner123   Members   -  Reputation: 241

Posted 28 July 2011 - 08:38 PM

a = 1

a = a + 1


What is the value of a?

If you claim mine answer is wrong, then the a = a + 1 would compute out to infinity.


... is this guy for real?

#34 Wan   Members   -  Reputation: 1366

Posted 29 July 2011 - 12:50 AM

Posted Image



#35 gavco98   Members   -  Reputation: 372

Posted 29 July 2011 - 01:54 AM

Posted Image


Dammit! I was just about to post that :( 1 Post too late :(
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#36 sooner123   Members   -  Reputation: 241

Posted 29 July 2011 - 05:57 AM

I've discovered that it's a lot harder to keep a thread on topic than a classroom of ravenous snarling kids!

#37 ChurchSkiz   Members   -  Reputation: 458

Posted 29 July 2011 - 07:41 AM

I've discovered that it's a lot harder to keep a thread on topic than a classroom of ravenous snarling kids!


What were the kid responses?

#38 The_Neverending_Loop   Members   -  Reputation: 626

Posted 29 July 2011 - 08:43 AM

I've discovered that it's a lot harder to keep a thread on topic than a classroom of ravenous snarling kids!


We should start talking about pie!, anyone else like pie here? I like pie, my favorite flavory is cherry! whats yours?

#39 KanonBaum   Members   -  Reputation: 277

Posted 29 July 2011 - 09:26 AM

Blueberry pie all the way, son.
I'm that imaginary number in the parabola of life.

#40 sooner123   Members   -  Reputation: 241

Posted 29 July 2011 - 09:32 AM

Well keep in mind this is a class for gifted kids:
In the disqualified category:
I had a lot of "infinities, infinity+1's"
I had a "the highest answer among everyone else plus 1"
I had a "the product of everyone in the room's answers" which suffers from the self referential paradox

I had a couple googols. Even some googles. Can't blame them for thinking that's the spelling.
Had a googleplex.

Had one kid fill up the entire paper with 9's.

Then one kid (who wants to be a mathematician) gave (as by far the winning answer):

fΓ_G(G)


He even defined the wainer and veblen hierarchies, and graham's number (and the definition for knuth's up-arrows)


Needless to say I was very impressed. Especially seeing how I had to do some pretty hefty research only to figure out what the feferman-schutte ordinal was and if it could actually be used in the diagonalization function.

One kid gave f(n) = (n!^n!)!, f^googol(googol). Not too shabby. Weaker than tetration though.

Had a "the number of electrons in the universe squared"

And one funny answer: "the amount of kilobytes that anyone will ever really need"

And of course the obligatory 42, twice.

got 40 digits of pi

the bulk of the answers were things like 10000000000000000000, trillion^trillion, stuff like that.

my favorite answer was: Zeno( 1 / (1 - .9 repeated))

one said, "the positive even integer for which goldbach fails" <- i'll admit this one is difficult. i ended up defending the ordinal answer against this one because he didn't give an escape case for if goldbach holds forever. also even if it does fail, this would be nonconstructive and therefore not really in the spirit of the exercise.




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