What special abilities would it take to do a job like robert Hooke's—designing and presenting different experiments each week?

Imagination, ingenuity and dedication

Explanation:

Imagination is "the faculty or action of forming new ideas, or images or concepts of external objects not present to the senses"(Oxford dictionary).

Ingenuity is "the quality of being clever, original, and inventive"(Oxford dictionary).

Dedication is "the quality of being dedicated or committed to a task or purpose"(Oxford dictionary).

In order to design and present a new experiment each week, the experimenter must be able to mentally create pictures that aren't already present with the senses. This is imagination and it stems from ingenuity or creativity. Then the experimenter must painstakingly work on these ideas in order to turn imagination to reality. This requires dedication.

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