Question

write the negation of the statement.
all hawks fly.
choose the correct answer below.
a. some hawks fly.
b. no hawks fly.
c. some hawks do not fly.
d. all hawks do not fly.

Explanation:

To find the negation of the universal statement "All hawks fly", we recall that the negation of "All \( S \) are \( P \)" is "Some \( S \) are not \( P \)". Here, \( S \) is "hawks" and \( P \) is "fly". So the negation should be "Some hawks do not fly".

• Option A: "Some hawks fly" is not a negation (it's a particular affirmative, similar in nature to the original in terms of affirming flying for some).
• Option B: "No hawks fly" is the negation of "Some hawks fly" or a universal negative, not the negation of "All hawks fly".
• Option D: "All hawks do not fly" is a universal negative, which is not the negation of a universal affirmative (the negation of universal affirmative is particular negative).

Answer:

C. Some hawks do not fly.