Does nature have purpose?

In the last episode of a reading from her book 'Stop the Clocks' by Dame Joan Bakewell, Friday 5 February 9.45am BBC Radio 4, she said:
"Does the year have a purpose, does nature, time?  I know the answer to all these is 'no'.  So why are we so purposeful, eager to tend gardens, organise homes, write books, pass laws, run global companies?  What genetic glitch then this frenzy of intent into our DNA?"
This perspective is as though we humans are different from the rest of nature.  Yes we are purposeful, yet nature is not!  But we are part of nature, part of the cosmic world.  Distinctive, yes, but still made from the same principles - Jung's archetypes, atoms.  Jung wrote of synchronicity  being evidence of the unus mundus - everything is connected to everything - and of the archetype of purpose.  It is in our nature and in nature.  What the purpose of nature is we do not know, but not knowing does not mean it does not exist.