The final paragraph on the topic alludes to Olber's paradox, but stars are not infinitesimally small, so I do not think the argument applies here (though the Big Bang makes the question moot anyway.)
http://cmb.physics.wisc.edu/pub/tutorial/olbers.html
In the final problem, as the apple trees can be in more than one line, the minimal valid solution is 9 trees, not 12.
The final paragraph on the topic alludes to Olber's paradox, but stars are not infinitesimally small, so I do not think the argument applies here (though the Big Bang makes the question moot anyway.)
http://cmb.physics.wisc.edu/pub/tutorial/olbers.html