But in pre-Revolution days there had also been the critical school of the Maurists, which offered an alternative to minds averse from implicit reliance on tradition.
The first formal proof of Lagrange's theorem for the development in a series of an implicit function was furnished by Laplace, who gave to it an extended generality.
What was implicit in nature had become explicit in man; the problem of the individual was one with the problem of universal experience.
Considering the great importance of arresting the spread of infection at the outset, and the implicit reliance placed upon bacteriological criteria, the aetiology of such antecedent ailments deserves more attention than has hitherto been paid to it.
The sense of inadequacy is only a condition of growing knowledge in a being subject to the laws of space and time; and the very feeling is a proof of its implicit removal.
But the latter, although himself a mere stripling, had implicit faith in Goethe, and a firm conviction that his genius could be utilized in other fields besides literature.
The whole history of his researches proves how fully he was aware of the conditions necessary for the attainment of achromatism in refracting telescopes, and he may be well excused if he so long placed implicit reliance on the accuracy of experiments made by so illustrious a philosopher as Newton.
There was a truth in these criticisms. It was the very aim of Hegelianism to render fluid the fixed phases of reality - to show existence not to be an immovable rock limiting the efforts of thought, but to have thought implicit in it, waiting for release from its petrifaction.
In the main the appeal to reason has followed the traditional course of such movements in ethics, and has reaffirmed in the light of fuller reflection the moral principles implicit in the ordinary moral consciousness.
The points by which he told on Europe were all implicit in Aristotle, but Averroes set in relief what the original had left obscure, and emphasized things which the Christian theologian passed by or misconceived.