Re: limitation to induction on finite bounds

From: Will Twentyman (wtwentyman_at_read.my.sig)
Date: 06/29/04 

Date: Mon, 28 Jun 2004 21:59:48 -0400

|-|erc wrote:

> "Will Twentyman" <wtwentyman@read.my.sig> wrote >
> |-|erc wrote:
>
>>>"Ellis Dees" <dastard@my-deja.com> wrote
>>>
>>>
>>>>Herc,
>>>>
>>>>is {0.9, 0.99, 0.999, ...} = 1 ?
>>>>
>>>>If so, where is 1 on the list?
>>>
>>>
>>>what number is inbetween 0.999.. and 1?
>>
>>They are both 1.
>
> doesn't answer the question.

There isn't one. What number is between 1 and 1? Nothing.

>>>what number is inbetween {0.9, 0.99, 0.999, ...} and 1?
>>
>>Malformed question: what do you mean for something to be between a set
>>and a number?
>>
>>You insist on doing comparisons between things where there is no defined
>>comparison operator.
>
> what number is between all members of the set and 1?

Again, nothing.

> you guys can't see the forrest for the trees, you fail to recognise a set
> contains a sequence of digits becuase of 'type' arguments applying over infinite objects.

You have to see the trees to see the forest. If you don't see trees,
it's something else. 

-- 
Will Twentyman
email: wtwentyman at copper dot net

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