Re: Epistemology 201: The Science of Science

From: Wolf Kirchmeir (wwolfkir_at_sympatico.ca)
Date: 02/27/05 

Date: Sun, 27 Feb 2005 16:30:52 -0500

Albert wrote:
> Wolf Kirchmeir wrote:
>
>> Lester Zick wrote:
>>
>>> On Fri, 25 Feb 2005 16:18:33 -0500, Wolf Kirchmeir
>>> <wwolfkir@sympatico.ca> in comp.ai.philosophy wrote:
>>>
>>>
>>>> Lester Zick wrote:
>>>>
>>>>> On Thu, 24 Feb 2005 23:33:29 +0000 (UTC), Neil W Rickert
>>>>> <rickert+nn@cs.niu.edu> in comp.ai.philosophy wrote:
>>>>
>>>>
>>>>
>>>> [...] And
>>>>
>>>>>> what does "earth is at the center of the universe" have to do with
>>>>>> anything?
>>>>>
>>>>>
>>>>>
>>>>>
>>>>> That's the only way to get an omnidirectional red shift in terms of
>>>>> longitudinal doppler. [...]
>>>>
>>>>
>>>>
>>>> False.
>>>>
>>>> Mark a number of spots on a balloon. Blow it up. Notice that from
>>>> the p.o.v. of any spot all other spots are moving away. Generalise
>>>> to 3D space, etc.
>>>
>>>
>>>
>>>
>>> You know, Wolf, I've never seen an explanation for BB that doesn't
>>> first regress the analysis to two dimensions and then tell the reader
>>> to generalize it to three dimensions. Why don't we just begin where
>>> the action actually takes place: three dimensions. Show me how all the
>>> raisins in an expanding raisin pudding expand omnidirectionally in
>>> equal proportion to distance away from any pov except the center.
>>>
>>> Regards - Lester
>>
>>
>>
>> You're having trouble seeing anything other than the pudding's
>> geometric centre as the centre of expansion. Just visulaise yourself
>> at some other point inside the pudding.
>
>
> I can visualize 4 identical spheres in closest packing, i.e. their
> centers representing point locations and forming the vertices of a
> tetrahedron, expanding as you describe. However, I cannot envision this
> for spheres of different sizes, especially the situation where 4
> identical spheres in closest packing have at the center of the
> tetrahedron a much smaller sphere touching each of the four larger
> spheres. Perhaps you can help me.

Um, how about thinking of the spheres' centres instead. you will
visual8se a lattice. Expand the tetrahedron, ie, increase the lines
connecting the tetrahedron's vertices at some constant rate. The lines
connecting those vertices to the central sphere's center will also
expand. Etc. Is that good enough?

BTW, by introducing that central sphere you've cut the original regular
tetrahedron into four similar irregular ones. Can you visualise that?

Relevant Pages

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  • Re: Epistemology 201: The Science of Science
    ... >> tetrahedron, expanding as you describe. ... >> this for spheres of different sizes, ... Expand the tetrahedron, ie, increase the lines ... Visualization of static things is relatively easy. ...
    (sci.math)
  • Re: Epistemology 201: The Science of Science
    ... >> tetrahedron, expanding as you describe. ... >> this for spheres of different sizes, ... Expand the tetrahedron, ie, increase the lines ... Visualization of static things is relatively easy. ...
    (sci.cognitive)
  • Re: Epistemology 201: The Science of Science
    ... >> tetrahedron, expanding as you describe. ... >> this for spheres of different sizes, ... Expand the tetrahedron, ie, increase the lines ... Visualization of static things is relatively easy. ...
    (sci.physics)
  • Re: Epistemology 201: The Science of Science
    ... > tetrahedron, expanding as you describe. ... > for spheres of different sizes, ... Expand the tetrahedron, ie, increase the lines ... by introducing that central sphere you've cut the original regular ...
    (sci.cognitive)