William schrieb am Donnerstag, 3. Juni 2021 um 00:02:38 UTC+2:
> On Wednesday, June 2, 2021 at 5:27:06 PM UTC-3, WM wrote:
>
> > All infinitely many FISONs can be subtracted from |N without exhausting |N.
> Ah yes the famous
>
> Any FISON can be removed from |N without exhausting |N
> Thus all FISONs can be removed from |N without exhausting |N
> All FISONs is the set of all FISONs

There is no set. It is potentially infinite collection.

> The set of all FISONs can be removed from |N without exhausting |N
> N minus the set of all FISONs is nonempty
>
> Do you have a horse with an infinite number of legs?

Legs are not ordered by size, FISONs are. Therefore induction covers all of them. And note that all are finite. Induction does not cover omega. Why? |N is actually infinite. For all finite numbers we have omega - n = omega. That means aleph_0 numbers between ever definable n and omega.

All the numbers index frames which Achilles passes without remembering them.. Not remembering is possible. Not passing is impossible. It would violate both logic and reality. At his times teleporting has not been possible, nor is it presently https://www.quora.com/How-long-would-it-take-to-teleport-a-human.

Stop your invalid attempts of defence. Cantor has been disproved.

Regards, WM

Gus Gassmann schrieb am Donnerstag, 3. Juni 2021 um 13:44:23 UTC+2:
> On Wednesday, 2 June 2021 at 17:27:06 UTC-3, WM wrote:
> [...]
> > All infinitely many FISONs can be subtracted from |N without exhausting |N. Can you understand that?
> Can you? For the great WM quantifier, switching is an involuntary reflex.

What a stupid attempt of defence.

> > There is no largest, but all are finite. And |N is infinite!
> Precisely. For all n: card[N \ FISON(n)] = aleph_0, and yet N \ [union{n in N} FISON(n)] = {}.

What a stupid belief in nonsense!

> You've been shown this many times over the last fifteen or so years, and you still can grasp it.

No, I would be ashamed to accept such a fool's crap.

But even you should be able to follow this argument: All natural numbers index frames, most of which Achilles passes without remembering them. Not remembering is possible. Not passing is impossible. It would violate both logic and reality. At his times teleporting has not been possible, nor is it presently https://www.quora.com/How-long-would-it-take-to-teleport-a-human.

If frame omega exists, then it is reached by Achilles passing through its predecessors which are not necessarily well-ordered because their indices are dark. If they would not exist, then logic and reality would be violated. Better than violating matheology? Only for stubborn fools!

Regards, WM

WM explained :
> William schrieb am Donnerstag, 3. Juni 2021 um 00:02:38 UTC+2:
>> On Wednesday, June 2, 2021 at 5:27:06 PM UTC-3, WM wrote:
>>
>>> All infinitely many FISONs can be subtracted from |N without exhausting |N.
>> Ah yes the famous
>>
>> Any FISON can be removed from |N without exhausting |N
>> Thus all FISONs can be removed from |N without exhausting |N
>> All FISONs is the set of all FISONs
>
> There is no set. It is potentially infinite collection.
>
>> The set of all FISONs can be removed from |N without exhausting |N
>> N minus the set of all FISONs is nonempty
>>
>> Do you have a horse with an infinite number of legs?
>
> Legs are not ordered by size, FISONs are. Therefore induction covers all of
> them. And note that all are finite. Induction does not cover omega. Why? |N
> is actually infinite. For all finite numbers we have omega - n = omega. That
> means aleph_0 numbers between ever definable n and omega.
>
> All the numbers index frames which Achilles passes without remembering them.
> Not remembering is possible. Not passing is impossible. It would violate both
> logic and reality. At his times teleporting has not been possible, nor is it
> presently https://www.quora.com/How-long-would-it-take-to-teleport-a-human.
>
> Stop your invalid attempts of defence. Cantor has been disproved.

No he hasn't.

On Thursday, June 3, 2021 at 1:48:47 PM UTC-3, WM wrote:
> William schrieb am Donnerstag, 3. Juni 2021 um 00:02:38 UTC+2:

> > All FISONs is the set of all FISONs
> There is no set. It is potentially infinite collection.

Ah my not so young Padawan. As master Yoda is fond of saying "infinite, or infinite not, there is no "Potentially infinite".

--
William Hughes

FromTheRafters schrieb am Donnerstag, 3. Juni 2021 um 20:24:09 UTC+2:
> WM explained :
> > William schrieb am Donnerstag, 3. Juni 2021 um 00:02:38 UTC+2:
> >> On Wednesday, June 2, 2021 at 5:27:06 PM UTC-3, WM wrote:

> > All the numbers index frames which Achilles passes without remembering them.
> > Not remembering is possible. Not passing is impossible. It would violate both
> > logic and reality. At his times teleporting has not been possible, nor is it
> > presently https://www.quora.com/How-long-would-it-take-to-teleport-a-human.
> >
> > Stop your invalid attempts of defence. Cantor has been disproved.
> No he hasn't.

Either reality is discontinuous or Achilles reaches frame omega from a dark frame. Silly matheologians claim he reaches frame omega from a not existing frame. But that gang of fools will die out soon.

Regards, WM

William schrieb am Donnerstag, 3. Juni 2021 um 21:31:16 UTC+2:
> On Thursday, June 3, 2021 at 1:48:47 PM UTC-3, WM wrote:
> > William schrieb am Donnerstag, 3. Juni 2021 um 00:02:38 UTC+2:
>
> > > All FISONs is the set of all FISONs
> > There is no set. It is potentially infinite collection.
> Ah my not so young Padawan. As master Yoda is fond of saying "infinite, or infinite not, there is no "Potentially infinite".

Here we are not in or at Yoda whatever that may be but in real mathematics. All FISONs can be subtracted one by one using induction. The infinit set |N, with minor damage, will remain.

Regards, WM

Jim Burns schrieb am Donnerstag, 3. Juni 2021 um 08:02:04 UTC+2:
> On 6/2/2021 8:00 AM, WM wrote:

> > But we start with excluding teleportation from the scratch.
> How do we say "No teleporting allowed"?
>
> We say
> | The path on which Achilles chases and passes the tortoise
> | is _continuous_ on a _connected_ time-domain.

No time required to see that the path is without gaps. The frames can be calculated using time.
>
> "Continuous path" without "connected domain" does not say
> "no teleporting".
>
> For example, suppose a single point is "missing" from [0,1].

Without dar numbers aleph_0 points are missing and the path between these points is missing too as we can prove when using Zeno's arrow.

Regards, WM

WM laid this down on his screen :
> FromTheRafters schrieb am Donnerstag, 3. Juni 2021 um 20:24:09 UTC+2:
>> WM explained :
>>> William schrieb am Donnerstag, 3. Juni 2021 um 00:02:38 UTC+2:
>>>> On Wednesday, June 2, 2021 at 5:27:06 PM UTC-3, WM wrote:
>
>>> All the numbers index frames which Achilles passes without remembering
>>> them. Not remembering is possible. Not passing is impossible. It would
>>> violate both logic and reality. At his times teleporting has not been
>>> possible, nor is it presently
>>> https://www.quora.com/How-long-would-it-take-to-teleport-a-human.
>>>
>>> Stop your invalid attempts of defence. Cantor has been disproved.
>> No he hasn't.
>
> Either reality is discontinuous or Achilles reaches frame omega from a dark
> frame. Silly matheologians claim he reaches frame omega from a not existing
> frame. But that gang of fools will die out soon.

Crank.

On Thursday, June 3, 2021 at 4:40:01 PM UTC-3, WM wrote:
> William schrieb am Donnerstag, 3. Juni 2021 um 21:31:16 UTC+2:
> > On Thursday, June 3, 2021 at 1:48:47 PM UTC-3, WM wrote:
> > > William schrieb am Donnerstag, 3. Juni 2021 um 00:02:38 UTC+2:
> >
> > > > All FISONs is the set of all FISONs
> > > There is no set. It is potentially infinite collection.
> > Ah my not so young Padawan. As master Yoda is fond of saying "infinite, or infinite not, there is no "Potentially infinite".
> Here we are not in or at Yoda whatever that may

Did you really miss the reference? I would have thought even in Germany Star Wars would be known. Well as Dave Barry would explain to the humour impaired ( WH was pointing out that while there are infinite sets and finite sets and finite collections and infinite collections, there is no "sort of infinite but not really".)

--
William Hughes

On 6/3/2021 2:36 PM, WM wrote:
> FromTheRafters schrieb am Donnerstag, 3. Juni 2021 um 20:24:09 UTC+2:
>> WM explained :
>>> William schrieb am Donnerstag, 3. Juni 2021 um 00:02:38 UTC+2:
>>>> On Wednesday, June 2, 2021 at 5:27:06 PM UTC-3, WM wrote:
>
>>> All the numbers index frames which Achilles passes without remembering them.
>>> Not remembering is possible. Not passing is impossible. It would violate both
>>> logic and reality. At his times teleporting has not been possible, nor is it
>>> presently https://www.quora.com/How-long-would-it-take-to-teleport-a-human.
>>>
>>> Stop your invalid attempts of defence. Cantor has been disproved.
>> No he hasn't.
>
> Either reality is discontinuous

no, reality is continuous, your constructs are discontinuous.

or Achilles reaches frame omega from a dark frame.

Achilles never got to Omega. Dark frames are imagination.

> Silly matheologians claim he reaches frame omega from a not existing frame.

got URL ?

> But that gang of fools will die out soon.

all that do not agree with you ?

>
> Regards, WM
>

On 6/3/2021 11:58 AM, WM wrote:
> Gus Gassmann schrieb am Donnerstag, 3. Juni 2021 um 13:44:23 UTC+2:
>> On Wednesday, 2 June 2021 at 17:27:06 UTC-3, WM wrote:
>> [...]
>>> All infinitely many FISONs can be subtracted from |N without exhausting |N. Can you understand that?
>> Can you? For the great WM quantifier, switching is an involuntary reflex.
>
> What a stupid attempt of defence.
>
>>> There is no largest, but all are finite. And |N is infinite!
>> Precisely. For all n: card[N \ FISON(n)] = aleph_0, and yet N \ [union{n in N} FISON(n)] = {}.
>
> What a stupid belief in nonsense!
>
>> You've been shown this many times over the last fifteen or so years, and you still can grasp it.
>
> No, I would be ashamed to accept such a fool's crap.
>
> But even you should be able to follow this argument: All natural numbers index frames, most of which Achilles passes without remembering them. Not remembering is possible. Not passing is impossible. It would violate both logic and reality. At his times teleporting has not been possible, nor is it presently https://www.quora.com/How-long-would-it-take-to-teleport-a-human.
>
> If frame omega exists, then it is reached by Achilles passing through its predecessors which are not necessarily well-ordered because their indices are dark. If they would not exist, then logic and reality would be violated. Better than violating matheology? Only for stubborn fools!
>
> Regards, WM
>

*forget Achilles and his pocket Transporter*,

*switch over to Doughnuts*, there is an infinity of them at Dunken
Doughnuts, and Rolf has to eat each doughnut one at a time, Will Rolf
make it to the Omega Doughnut ?

*no flipping turtles needed, no racing, no shoe sizes, no frames*.
Just piles and piles and piles, and fields, and countries filled
with doughnuts

or we can use a formula to generate them, called a doughnut shop, they
just keep cranking them out never stopping.

torsdag 3 juni 2021 kl. 18:58:37 UTC+2 skrev WM:
> Gus Gassmann schrieb am Donnerstag, 3. Juni 2021 um 13:44:23 UTC+2:
> > On Wednesday, 2 June 2021 at 17:27:06 UTC-3, WM wrote:
> > [...]
> > > All infinitely many FISONs can be subtracted from |N without exhausting |N. Can you understand that?
> > Can you? For the great WM quantifier, switching is an involuntary reflex.
> What a stupid attempt of defence.
> > > There is no largest, but all are finite. And |N is infinite!
> > Precisely. For all n: card[N \ FISON(n)] = aleph_0, and yet N \ [union{n in N} FISON(n)] = {}.
> What a stupid belief in nonsense!
> > You've been shown this many times over the last fifteen or so years, and you still can grasp it.
> No, I would be ashamed to accept such a fool's crap.
>
> But even you should be able to follow this argument: All natural numbers index frames, most of which Achilles passes without remembering them. Not remembering is possible. Not passing is impossible. It would violate both logic and reality. At his times teleporting has not been possible, nor is it presently https://www.quora.com/How-long-would-it-take-to-teleport-a-human.
>
> If frame omega exists, then it is reached by Achilles passing through its predecessors which are not necessarily well-ordered because their indices are dark. If they would not exist, then logic and reality would be violated.. Better than violating matheology? Only for stubborn fools!
>
> Regards, WM

There is no fool here but you WM, you do not understand how basic mathematics work

On Thursday, 3 June 2021 at 16:44:47 UTC-3, WM wrote:
[...]
> Without dar numbers aleph_0 points are missing and the path between these points is missing too as we can prove when using Zeno's arrow.
Zeno's arrow is the one that *doesn't move*. You haven't even clued in to the purpose of Zeno's arguments.