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Topic: Matheology §252
Replies: 110   Last Post: Apr 24, 2013 5:58 PM

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 fom Posts: 1,968 Registered: 12/4/12
Re: Matheology §252
Posted: Apr 21, 2013 2:08 PM

On 4/21/2013 11:06 AM, WM wrote:
> On 21 Apr., 16:56, netzweltler <reinhard_fisc...@arcor.de> wrote:
>> On 21 Apr., 16:03, WM <mueck...@rz.fh-augsburg.de> wrote:
>>
>>
>>
>>
>>

>>> On 21 Apr., 12:22, netzweltler <reinhard_fisc...@arcor.de> wrote:
>>
>>>> On 21 Apr., 11:07, WM <mueck...@rz.fh-augsburg.de> wrote:
>>
>>>>> On 21 Apr., 10:02, netzweltler <reinhard_fisc...@arcor.de> wrote:
>>
>>>>>> On 20 Apr., 19:03, WM <mueck...@rz.fh-augsburg.de> wrote:
>>
>>>>>>> All atoms of the accessible universe and all positions they can take
>>>>>>> belong to a finite set.

>>
>>>>>> How do we prove, that the number of possible positions an atom can
>>>>>> take along a line of 1 cm is finite?

>>
>>>>> By accepting quantum mechanics and excluding theology (these
>>>>> assumptions taken as axioms for those who believe (as an axiom) to
>>>>> need axioms) a proof is given here:http://arxiv.org/ftp/arxiv/papers/0709/0709.4102.pdf
>>>>> pages 2-3.

>>
>>>>> Regards, WM
>>
>>>> What about a position between two quanta? Should there be no decimal
>>>> fraction for a position between two adjacent quanta along this line of
>>>> 1 cm?-

>>
>>> Quantum theory tells us, contrary to Einsteins's false beliefs, that
>>> unmeasurable events do not exist. The electron or photon does not
>>> simultaneously have fixed position and momentum (that would contradict
>>> some results of interference experiments).

>>
>> If non-measurable distances don't exist, don't we face another
>> problem? Let's say, d is the smallest distance that can be measured.
>> Distances below d don't exist. So, d/2 is a non-existing distance. Is
>> it still valid, that d/2 + d/2 = d then? I mean, how can distance d
>> exist, if it is composed of two non-existing distances d/2?-

>
> The old problem of Aristotle: How can a resting body come to move?
> There must be a point of time where rest and movement are
> simultaneously realized. But that is impossible.

Right.

This is why negation and identity relate to the modern
mathematics of boundaries. What mathematics would that
be?

> "What St. Thomas affirms on this point
> about angels or intelligences ('that
> here every individual is a lowest
> species') is true of all substances,
> provided one takes the specific
> difference in the way that geometers
> take it with regard to their figures."
>
> Leibniz
>
>
>
> "If m_1, m_2, ..., m_v, ... is any
> countable infinite set of elements
> of [the linear point manifold] M of
> such a nature that [for closed
> intervals given by a positive
> distance]:
>
> lim [m_(v+u), m_v] = 0 for v=oo
>
> then there is always one and only one
> element m of M such that
>
> lim [m_(v+u), m_v] = 0 for v=oo"
>
> Cantor to Dedekind
>

To have parts, one must have limits delineating
parts.

The interval when a body is at rest is different
from the interval when a body is in motion. There
is a boundary.

Associated with macroscopic objects will be an
acceleration. Thus, there will be a force.

Impulse is force applied over time. As noted in

http://en.wikipedia.org/wiki/Impulse_(physics)

it is a quantity and not an event.

If one considers the family of bell curves having
the an area equal to a given impulse, but with
decreasing intervals of time, one obtains the
Dirac delta which can be used to model impulse

http://en.wikipedia.org/wiki/Dirac_delta_function#Overview

Aristotle's problem is represented in the limit,
and, importantly, this limit is represented in the
computer models of such events. As the link

http://en.wikipedia.org/wiki/Impulse_(physics)

notes, the changes are represented ideally with
step functions.

That is the thing about "computational representation".

Such representation depends on the ideal mathematics
WM rejects.

Then he says these things as if he has but one neuron.

Date Subject Author
4/17/13 mueckenh@rz.fh-augsburg.de
4/17/13 fom
4/17/13 Virgil
4/18/13 mueckenh@rz.fh-augsburg.de
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4/18/13 mueckenh@rz.fh-augsburg.de
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4/18/13 mueckenh@rz.fh-augsburg.de
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4/18/13 Virgil
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4/19/13 Virgil
4/20/13 mueckenh@rz.fh-augsburg.de
4/20/13 netzweltler
4/20/13 mueckenh@rz.fh-augsburg.de
4/20/13 netzweltler
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4/20/13 mueckenh@rz.fh-augsburg.de
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4/20/13 Virgil
4/20/13 fom
4/20/13 Virgil
4/21/13 mueckenh@rz.fh-augsburg.de
4/21/13 fom
4/21/13 Bergholt Stuttley Johnson
4/21/13 gus gassmann
4/21/13 Virgil
4/21/13 netzweltler
4/21/13 mueckenh@rz.fh-augsburg.de
4/21/13 netzweltler
4/21/13 mueckenh@rz.fh-augsburg.de
4/21/13 netzweltler
4/21/13 mueckenh@rz.fh-augsburg.de
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4/22/13 mueckenh@rz.fh-augsburg.de
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4/24/13 netzweltler
4/24/13 mueckenh@rz.fh-augsburg.de
4/24/13 Virgil
4/24/13 netzweltler
4/24/13 mueckenh@rz.fh-augsburg.de
4/24/13 Virgil
4/24/13 netzweltler
4/21/13 fom
4/21/13 Virgil
4/22/13 mueckenh@rz.fh-augsburg.de
4/22/13 Virgil
4/23/13 mueckenh@rz.fh-augsburg.de
4/23/13 Virgil
4/21/13 Bergholt Stuttley Johnson
4/21/13 Virgil
4/20/13 fom
4/20/13 Virgil
4/20/13 fom
4/20/13 Virgil
4/20/13 fom
4/20/13 mueckenh@rz.fh-augsburg.de
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4/19/13 Virgil
4/20/13 mueckenh@rz.fh-augsburg.de
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4/20/13 Virgil
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4/18/13 fom
4/18/13 fom
4/18/13 Virgil
4/18/13 mueckenh@rz.fh-augsburg.de
4/18/13 Virgil
4/18/13 Bergholt Stuttley Johnson
4/18/13 fom
4/18/13 fom
4/18/13 Virgil
4/18/13 mueckenh@rz.fh-augsburg.de
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4/18/13 mueckenh@rz.fh-augsburg.de
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