fom
Posts:
1,093
Registered:
12/4/12
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Re: Distinguishability of paths of the Infinite Binary tree???
Posted:
Dec 27, 2012 11:57 AM
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On 12/27/2012 5:31 AM, gus gassmann wrote:
> On 26/12/2012 5:03 PM, fom wrote:
>
>> On 12/26/2012 2:34 PM, Virgil wrote:
>
>>> Or does WM claim a definition of countability other than the standard
>>> one?
>>>
>>
>> He does. He stated it.
>>
>> A set is countable iff it is a subset of a countable set.
>
> This definition is, of course, circular, and should convince anyone who
> reads it that the writer of this "definition" does not understand the
> first points of mathematics.
>
>> Infinite sets are, therefore, if they exist, uncountable.
>
> And this is a non-sequitur.
This is just wrong, as George has pointed out.
What I was thinking but not saying is that a countable
infinity is like a round square for WM
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