Marcelo Maciel

“C'est avec l'intuition qu'on trouve, c'est avec la logique qu'on prouve”
― Henri Poincaré

“If I now consider man in his isolated capacity, I find that dogmatic belief is no less indispensable to him in order to live alone than it is to enable him to co-operate with his fellows. If man were forced to demonstrate for himself all the truths of which he makes daily use, his task would never end. He would exhaust his strength in preparatory demonstrations without ever advancing beyond them. As, from the shortness of his life, he has not the time, nor, from the limits of his intelligence, the capacity, to act in this way, he is reduced to take on trust a host of facts and opinions which he has not had either the time or the power to verify for himself, but which men of greater ability have found out, or which the crowd adopts. On this groundwork he raises for himself the structure of his own thoughts; he is not led to proceed in this manner by choice, but is constrained by the inflexible law of his condition. There is no philosopher in the world so great but that he believes a million things on the faith of other people and accepts a great many more truths than he demonstrates. (Tocqueville 1945 2:9-10; Oeuvres Completes (M) 1(2):16-17, (B) 3:15-16).”
― Alexis de Tocqueville, Tocqueville : Oeuvres completes, tome 2 (Bibliotheque de la Pleiade)

“Je hais, pour ma part, ces systèmes absolus, qui font dépendre tous les événements de l’histoire de quelques causes premières se liant les unes aux autres par une chaîne fatale, et qui suppriment, pour ainsi dire, les hommes de l’histoire du genre humain. Je les trouve étroits dans leur prétendue grandeur, et faux sous leurs airs de vérités mathématiques.”
― Alexis de Tocqueville, Souvenirs de Alexis de Tocqueville

“Science is often characterized as a quest for truth, where truth is something absolute, which exists outside of the observer. But I view science more as a quest for understanding, where the understanding is that of the observer, the scientist. Such understanding is best gained by studying relations—relations between different ideas, relations between different phenomena; relations between ideas and phenomena. Rather than asking “How does this phenomenon work?” we ask, “How does this phenomenon resemble others with which we are familiar?” Rather than asking “Does this idea make sense?” we ask, “How does this idea resemble other ideas?”
― Robert Aumann