But getting back to deduction.
Science does use deduction.
Brilliant Deduction Watson. But getting back to the chiropractic deductive method, as I have said before in previous posts, the chiropractic deductions are not purely deductive. Palmer did not come up with an UI and then brilliantly deduce those qualities of subluxation and Innate. Its the same as the cobbler who chooses his leather. He finds the piece he likes and then tosses that which does not agree with him.