Hello Tom and All,
Tom wrote:

This  is ends up as 8038 acres - (3.14*(2^2)*640) (640 acres in a square mile)

  Tom clearly shows that the organic farmers thoughts  for organic honey  from his bees are only thoughts.

Research in the U.S. has shown five miles is within the bees reach when the need arises.

 It is true most forage   is done close to the hive BUT bees do at times forage great distances and many run out of fuel on the return trip and  die before returning to the hive as the bee uses blood sugar when the honey stomach is empty.

When blood sugar is used up the bee can not fly. 

   In fact at times bees will spend the night out on the return trip if dark happens on the return home. 

The organic farmer  from the post  will most likely produce a pesticide  free honey  but testing is the only way  you can be certain and testing  for all possible pesticides  is not possible with today's lab costs.  

  
Remote areas of the world free of farming and  people would in my opinion qualify  for pesticide free honey.

Sincerely,
Bob Harrison

Ps. Pure Honey on the label only says the product is honey and not part sugar syrup. 

So far testing has not shown that the  worlds honey  is a inferior product to so called *organic* honey. 

I would rather see labels like below  or better yet signs by the product explaining the process to the buyer. 
raw honey
unheated in any way  
not pasteurized
not pressure filtered
only strained
from chemical free hives