Sherlock Holmes follows a method. This method tells him to follow clues and develop new clues from old. An important characteristic of this method is that while following it we know by ourselves whether we are doing things right (the Right Direction Catechism). I call this method the theseological method.
Sherlock Holmes has given different names to the method he follows. In
The Adventure of the Abbey Grange he calls it the art of detection.
'... I propose to spend my retirement years in the composition of a textbook which shall focus the whole Art of Detection into one volume.'
--Sherlock Holmes, The Adventure of the Abbey Grange
In
A Study in Scarlet he calls it 'reasoning backwards'.
'In solving a problem of this sort, the grand thing is to be able to reason backwards. That is a very useful accomplishment, and a very easy one, but people do not practise it much. In the everyday affairs of life it is more useful to reason forward, and so the other comes to be neglected. There are fifty who can reason synthetically for one who can reason analytically.'
--Sherlock Holmes, A Study in Scarlet
Sherlock Holmes never made clear to the public how his method works. He said he would do this in a textbook on the subject--on 'the whole Art of Detection'--when he retired. But he never got around to it.
He seemed not too happy with Watson's depiction of his method in his narratives.
'If I claim full justice for my art, it is because it is an impersonal thing--a thing beyond myself. Crime is common. Logic is rare. Therefore it is upon the logic rather than upon the crime that you should dwell.'
--Sherlock Holmes, The Adventure of the Copper Beeches
Would Sherlock Holmes be disappointed with my suggestion that the method he followed was the theseological method?
I don't think he would be. It is clear that he was aware that the importance of a method was 'an impersonal thing', a thing 'beyond' any individual.