Why are products called minterms and sums called maxterms?

Question

Do they have a reason for doing so? I mean, in the sum of minterms, you look for the terms with the output 1; I don\'t get why they call it \"minterms.\" Why not maxterms becaus

Answer 1

min(0,0) = 0
min(0,1) = 0
min(1,0) = 0
min(1,1) = 1

So minimum is pretty much like logical AND.

max(0,0) = 0
max(0,1) = 1
max(1,0) = 1
max(1,1) = 1

So maximum is pretty much like logical OR.