If the foregoing examples are held sufficient to establish the influence of Bacon on the intellectual development of his immediate successors, it follows that the whole trend of typically English thought, not only in natural science, but also in mental, moral and political philosophy, is the logical fulfilment of Baconian principles.
Locke, when Cartesianism had raised the problem of the contents of consciousness, and the spirit of Baconian positivism could not accept of anything that bore the ill-omened name of innate ideas, elaborated a theory of knowledge which is psychological in the sense that its problem is how the simple data with which the individual is in contact in sensation are worked up into a system.
It is evident that the Socratic search for the essence by an analysis of instances - an induction ending in a definition - has a strong resemblance to the Baconian inductive method.
In this connexion, however, it is important to notice that Hobbes, who had been Bacon's secretary, makes no mention of Baconian induction, nor does he in any of his works make any critical reference to Bacon himself.
The power of framing hypothesis points to another want in the Baconian doctrine.
After the metaphysical idealism, begun by Berkeley, had eventuated in Hume's reduction of the objects of knowledge to sensations, ideas and associations, the Scottish school, applying the Baconian method to the study of mind, began to inquire once more for the evidences of our knowledge, and produced the natural or intuitive realism of T.
He crowns his criticism by expounding what he considers to be the true scientific method, which, as has been pointed out by Fischer, is simply that Baconian doctrine against which his attack ought to have been directed.
After the formation of these tables, we proceed to apply what is perhaps the most valuable part of the Baconian method, and that in which the author took most pride, the process of exclusion or rejection.
The difference between Bacon and Mill lies chiefly in this, and it is because of this difference that Mill's contribution, spite of its debt to the Baconian tradition, remains both characteristic and valuable.
One can hardly see how the Baconian method could have applied to concrete substances.