Statements and Quantifiers · Example 6

For each series of premises, draw a logical conclusion to the argument that includes one of the following quantifiers: all, some, or none.

(a) Squares and rectangles have four sides. A square is a parallelogram, and a rectangle is a parallelogram. What conclusion can be drawn from these premises?
(b) $1+2=3,$ $6+7=13,$ and $23+24=47.$ Of these, 1 and 2, 6 and 7, and 23 and 24 are consecutive integers; 3, 13, and 47 are odd numbers. What conclusion can be drawn from these premises?
(c) Sea urchins live in the ocean, and they do not breathe air. Sharks live in the ocean, and they do not breathe air. Eels live in the ocean, and they do not breath air. What conclusion can be drawn from these premises?

OpenStax, Contemporary Mathematics · §2.1 Statements and Quantifiers · Example 6