In no particular order: I wanted my children to turn out like the
teens and young adults I’ve met from other home-schooling families.
It was not a question of logical reasoning The three methods for logical reasoning, deduction, induction and abduction can be explained in the following way: 
Given preconditions α, postconditions β and the rule R1: α ∴ β (α therefore β). : “Some homeschooled
children are nice and polite; therefore homeschooling home·school