arnyk wrote: 
> Sorta. Since you contradict yourself as follows: "There are NO
> scientific facts[/I][/B]. There are facts..."  its hard to form a
> coherent summary of what you said above.
> 
> The science I know starts out "All findings of science are provisional,
> only valid until better evidence is found and/or a better hypothesis is
> proposed."   
> 
> In that context words like *fact* are at best troublesome. What most
> people call facts are actually either hypothesis or evidence. Neither
> are guaranteed to be correct. Here's an idea - let us forget about
> talking about *facts* since they may not be what they seem.  Experiments
> are just fishing expeditions, trying to gather some evidence, hopefully
> in a systematic and relevant way.
> 
> People often don't distinguish Mathematics from Science. They are vastly
> different. Mathematics differs from Science in that  while Science is
> about the natural physical world, Mathematics is artificial, and need
> not have any relationship at all to the physical world.  An important
> part of Science are Mathematical models but they are actually just
> hypothesis stated in a certain formal way.  In Mathematics everything is
> defined, and within those definitions a new Scientific hypothesis can be
> tested first for conformance with the relevant principles of
> Mathematics, but should also be tested for conformance with reality by
> means of physical experiments. There are a lot of models that are
> consistent enough as mathematical entities, but have been found to be
> completely irrelevant to reality. Others like Newton's laws of Motion
> are more than accurate enough in most of everyday life and even
> exceptional situations like planetary motion in the Solar system and
> most space travel as we know it today, but require Relativistic
> adjustments to be accurate and useful in an increasing number of
> exceptional situations like GPS and cell phone systems.
> 
> I was taught Engineering by first equipping me with enough basic
> Mathematics (Arithmetic, Algebra, Geometry, and Calculus in that order)
> so that I could understand and benefit from some simple, generally
> accepted mathematical models of common physical systems. For example,
> without those basic elements of Math, the common models related to
> non-relativistic motion of real objects, electricity, and basic thermal
> processes are very difficult to understand.   The study of
> Thermodynamics departs from the pattern set by the study of motion and
> electricity in that we quickly encounter math models that cannot or
> recently could not be derived from first principles, but are accurate
> based on observations.

Morning Arny!

I think we're on the same page here. I'm always sceptical of physicists
who come up with grand hypotheses derived from mathematics alone - it
seems to me to be a dodgy "extrapolation" in the absence of present
evidence. Stephen Hawkins has been guilty of this to some extent
recently.

I believe that some relativistic corrections to Newton's Laws are also
necessary to correctly predict the orbit of Mercury (which is of course
both very small compared to the Sun & uncomfortably close), FWIW.

The Second Law of Thermodynamics which gives us the concept of entropy
(essentially a measure of disorder, which must stay constant or more
usually increase with time) is the only bit of maths in Physics which is
not reversible in time, & gives rise to the idea of "The Arrow Of Time"
which is sadly consuming us all.

Dave :)


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