INDUCTION !!!! Not deduction! Induction is a way of reasoning from particular facts to general conclusions, and deduction is the opposite. Why Conan Doyle called the method of induction, the method of deduction, I am not very clear)
I don’t know about detectives. But the prototype of Sherlock Holmes for Conan Doyle was a certain doctor Joseph Bell - a man who applied the deductive method in practice. However, Bell used it not in investigations, but in everyday life for harmless things (for example, establishing a person's profession by his appearance).