 Comte quickly assimilated what Saint-Simon had to offer him. But Comte aspired to free himself of a tutelage that weighed ever heavier on him, as he found the unmethodical and fickle mind of the self-taught, philanthropic aristocrat barely tolerable. The break occurred in 1824, occasioned by a shorter work of Comte that would prove to be fundamental. Aware of already possessing the main ideas of his own philosophy, Comte accused his teacher of trying to appropriate his work and furthermore, he pointed out that he had not contented himself with giving a systematic form to borrowed concepts (Bourdeau 2019). The Philosophical Considerations on the Sciences and the Scientists (1825) contains the first and classical formulations of the two cornerstones of positivism: the law of the three stages, and the classification of the sciences. The Considerations on Spiritual Power that followed some months later presents dogmatism as the normal state of the human mind. It is not difficult to find behind that statement, which may seem outrageous to us, the anti-Cartesianism that Comte shares with Peirce and that brings their philosophies closer to one another. As the mind spontaneously stays with what seems true to it, the irritation of doubt ceases when belief is fixed; what is in need of justification, one might say, is not the belief but the doubt. Thus the concept of positive faith is brought out, that is to say, the necessity of a social theory of belief and its correlate, the logical theory of authority (Bourdeau 2011).