3.1 What is learning? Are they instances of learning? (1) A young child takes his first steps. (2) An adolescent male feels a strong attraction to certain females. (3) A child feels anxious when he sees the doctor coming with a needle. (4) Long after learning how to multiply, a girl realizes on her own that another way to multiply by 5 is to divided by 2 and multiply by 10(e.g. 428×5 can by figured as follows:428/2=214 ×10=2140)
Substitutivity of Equivalence Let A,M and N be wffs and let AMN be the result of replacing M by N at zero or more occurrences (henceforth called designate occurrences) of M in A. 1. AMN is a wff. 2. If |= M ≡ N then |= A ≡ AMN