What does it mean to consider logic when prioritizing tasks?

Basically use your brain to think about which tasks you should complete first.  For instance, you have a project due in tomorrow for school but your friend calls and asks you to go to the movies tonight.  Hopefully you would choose to stay in a complete your project and go to the movies with your friend over the weekend.  This is because your school work is most important and your friend should be available to go to the movies another time.

Considering logic requires understanding which tasks need to be completed first in order to allow other tasks to become possible to complete. Setting priorities using logic assumes that it will just make sense for some tasks to be completed earlier.

the author motivation is to show the power of animal-human relationships.