Date: Mar 22, 2013 4:43 PM
Author: fom
Subject: Re: Matheology § 224

On 3/22/2013 3:33 PM, William Hughes wrote:
> On Mar 22, 7:21 pm, WM <mueck...@rz.fh-augsburg.de> wrote:
> <snip>
>

>> Line l_n and all its predecessors do not in any way influenturece (neither
>> decrease nor increase) the union of all lines, namely |N.

>
>
> Yes, given any set of lines K, every element of K has
> the property that it can be removed without changing
> the union of all lines. Yes, the set of lines that
> has this property is the complete set K.
>
> This is the result of your proof.
>
> No, this does not mean that one can do something
> that does not leave any of the lines of K
> and does not change the union of all lines.
>
> You have not proved,
> and cannot prove the contrary.
> You can only state that it is obvious.
>
> I know you do not like this result (it cannot
> be true for finite sets) but it is something
> you do not like, not a contradiction.
>
>


A belief.

http://en.wikipedia.org/wiki/Doxastic_logic#Types_of_reasoners

see "conceited reasoner"