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Lunar Art - The west side of the moon
(USGS Astrogeology Research Program)


      

  

This page brings together the unlikely friends poetry and maths - the beauty of numbers - the hidden truths in an equation - the unequal music of chaos.

Hope you like them.

If you don't get them - just ask...

 

  

  

  

Chance is a Fine Thing

I think, therefore I am not sure.
To be completely sure is delusional,
while to fear all possible outcomes
is madness. Intelligence built on
experience gives a cold-headed
assessment of the probable.

Descartes didn’t quite complete the postulate
but founded the axiom
that thought is the proof of being,
and while being needs no further proof,
clear assessments of uncertainty
are the axes for the continuance of being.

Now the problem with probability
is the empirical basis and the timeframe.
The calculation is simple – the likelihood function*
We are all certain to die sometime,
but meanwhile enjoy the chances of life.
Then and now have different outcomes.

But what is the chance of
earthquake or hurricane,
starvation or plenty,
job or lover,
girl or boy,
bomb or bullet,
warming or cooling,
chaos or order,
sense or madness,
freedom or subjugation?

We must have a plan and a course,
robust to events, yet adjustable.
Everything – yes everything –
is like sailing the seas.
The question is how sound is the boat
and how good the crew?

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ODE to singularity

We must admit that, although we are
partially integrated in the first moment,

we frequently differentiate ourselves from others
(though the divergence is quite small). However,

gradients and perturbations are rather important
to our self estimation in real terms.

Underlying it all we do try to honour continuity
and conservation, despite attempts at transformation,

but reality tends to chaos and then to strange attractors
which may eventually lead us to uncover the ultimate

governing equation:
Ru = sum of the i's or the set that tends to infinity?

Is mathematics the ultimate philosophy
or will philosophy yield the ultimate equation?

Do chaos and uncertainty mean God
or does God impose determinism?

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Bayes Theorum and the likelihood Function

A simple example of Bayes theory is the cookie jar.

One jar has 10 chocolate chip cookies and 30 plain cookies,
while the second jar has 20 of each. Fred picks a jar at random,
and then picks a cookie at random – he gets a plain one.
We all know intuitively he could have picked from either jar,
but most likely picked from Jar 1.

Bayes theory gives the probability that he picked from Jar 1 as 0.6.

    

      

Twelve

Twelve plain notes brought her tears,
Beethoven’s melody raised her fears.
 
What woman is this who, in life’s bliss,
carries a hurt she will not miss
 
How full is her heart, for which a kiss,
despite the loss, will return that bliss.
 
And I wonder why the human brain
is so sensitive to emotional pain –
 
was is learned by instinct survival
or given for God’s revival?
 
It must be the latter, for the Pastoral notes
are about revival – not just survival.