Considering only positive integers, 7 is unambiguously specified by the phrase the smallest number not specifiable using fewer than two syllables.

What is the smallest number not specifiable using fewer than twenty-three syllables?

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# Berry's Paradox

### #1

Posted 19 September 2007 - 09:42 AM

*The greatest challenge to any thinker is stating the problem in a way that will allow a solution.*

- Bertrand Russell

### #2

Posted 19 September 2007 - 10:31 PM

*Possible*

Using your prompt, 7,777,777 would make sense.

### #3

Posted 19 September 2007 - 10:45 PM

### #4

Posted 20 September 2007 - 12:00 AM

### #5

Posted 20 September 2007 - 12:14 AM

Possible

Using your prompt, 7,777,777 would make sense.

That has 24 syllables. 7,777,778 has 23. One trillion one has 4 syllables. I'm not gettin' it.

### #6

Posted 20 September 2007 - 12:31 AM

the smallest number

we want the smallest number thats 23 syllables... so it would be 777,777,778 or whatever you said.

### #7

Posted 20 September 2007 - 01:08 AM

23!

2/3 equals 0.666!

### #8

Posted 20 September 2007 - 03:15 AM

we want the smallest number thats 23 syllables

No, we don't. We want "the smallest number not specifiable (whatever that means) using

*fewer*than twenty-three syllables".

### #9

Posted 20 September 2007 - 05:39 AM

What is the smallest number not specifiable using fewer than twenty-three syllables

It's written kind of ambigously, but it means that the number must be:

specifiable

using MORE than 23 syllables and no less

the smallest such number to fit the definition

and from the prompt

Considering only positive integers

It must be a positive integer.

EDIT:

Even as I wrote this, I disagreed with myself.

not specifiable using fewer than twenty-three syllables

This would allow 23 syllables and therefore it would be 7,777,771.

### #10

Posted 20 September 2007 - 02:04 PM

It's written kind of ambigously, but it means that the number must be:

specifiable

The OP said, "not specifiable". And I still don't know what that means.

not specifiable using fewer than twenty-three syllables

This would allow 23 syllables and therefore it would be 7,777,771.

You're saying 23 is less than 23? 1 is less than 23. I think that would make the answer: 1. Although I'm not sure if the 'not specifiable' part cahanges the answer.

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