2. what is the negation of the statement \all humans are able to swim\? all creatures that are able to swim…

Brief Explanations:

To find the negation of a universal statement "All ( S ) are ( P )", the logical negation is an existential statement "Some ( S ) are not ( P )". The original statement is "All humans are able to swim", so its negation should be "Some humans are not able to swim". Let's analyze the options:

• Option A: "All creatures that are able to swim are humans" is about the set of swimming creatures being humans, not the negation of the given statement.
• Option B: "Some humans like to swim" is about liking to swim, not about being able to swim, so it's irrelevant.
• Option C: "No humans are able to swim" is the negation of "Some humans are able to swim" or a universal negative, not the negation of "All humans are able to swim".
• Option D: "Some humans are not able to swim" follows the rule for negating a universal statement ("All ( S ) are ( P )") to ("Some ( S ) are not ( P )").

Answer:

D. Some humans are not able to swim.