Dear Brent and LizR,
Could it be that we are really discussing the Word Problem?
Note the relation to computations, via the use of recursively enumerable
A pair of words, as defined in the Wiki article, could represent the
content of a pair of observers (each defined per Bruno's theoretical
construction as the intersection of an infinity of computations).
On Sun, Jan 12, 2014 at 2:04 PM, meekerdb <meeke...@verizon.net> wrote:
> On 1/12/2014 12:55 AM, LizR wrote:
> On 12 January 2014 19:53, meekerdb <meeke...@verizon.net> wrote:
>> The sciences do not try to explain, they hardly even try to interpret,
>> they mainly make models. By a model is meant a mathematical construct
>> which, with the addition of certain verbal interpretations, describes
>> observed phenomena. The justification of such a mathematical construct is
>> solely and precisely that it is expected to work.
>> --—John von Neumann
> How does one know which mathematical construct to try out, to see if it
> will work? Surely interpretation becomes necessary at some point.
> Von Neumann recognizes above that some interpretation is necessary for the
> application of mathematics, "the addition of certain verbal
> interpretations". Which mathematics to try may be suggested by the
> interpretation of some earlier theories, which is what I see as useful
> about metaphysics - it may suggest improved physics.
> But the interesting thing about this quote, which I think is generally
> overlooked, is that even those theories/models we think of a providing
> "good explanations" only seem that way because of familiarity. We think
> easily of gravity as explaining the orbit of the Moon. But in the 17th
> century it prompted the question, "But what is pushing on the Moon to
> provide the force?" Now we say there is no force, it's just a distortion
> of space, so the Moon is just going in a "straight line". So the
> observable facts stay the same, the predictions become a little more
> accurate, but the ontological "explanation" varies drastically.
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Stephen Paul King
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