My first recollections are of the city of Clermont-Ferrand, and of a house which stood on a promenade now very much changed by the recent construction of the artillery school. The house, like all the houses in this city, was built of Volvic stone, a gray stone which darkens with age, and which gives to the tortuous streets the appearance of a city of the middle ages. My father, who died when I was very young, was of Lorraine extraction. He held at Clermont the position of engineer of roads and bridges. He was a slender man of feeble health, with a face almost beardless, and marked with a melancholy serenity which touched me, when I think of him, after all these years. I see him again in his study, through whose windows may be viewed the immense plain of the Limagne, with the graceful eminence of the Puy de Crouël quite near, and in the distance the dark line of the mountains of Forez. The railway station was near our house, and the whistling of the trains was constantly heard in this quiet study. I used to sit on the carpet in the corner by the fire, playing without making any noise, and this strident call produced on my mind a strange impression of mystery, of distance, of the flight of time, and of life which endures to the present. My father traced with his chalk upon a blackboard enigmatic signs, geometric figures or algebraic formulas, with that clearness of the curves, or the letters which revealed the habitual method of his being. At other times he wrote, standing at an architect’s table which he preferred to his desk, a table consisting simply of a white wood board placed on trestles. The large books on mathematics arranged with the most minute care in the bookcase, and the cold faces of savants, engraved in copperplate and framed under glass, were the only objects of art with which the walls were decorated. The clock which represented the globe of the world, two astronomical maps which hung above the desk, and upon this desk the calculating ruler with its figures and its copper slide, the square, the compass, the T rule. I recall them all, at will, the smallest details of this room whose whole atmosphere was thought, and these images aid me to comprehend how from my infancy the dream of a purely ideal and contemplative existence became elaborated in me, favored by heredity. My later reflections have shown me, in several traits of my character, the result transmitted under form of instinct of the life of abstract study that my father led. I have, for example, always felt a singular horror of action, so much so that, making a simple visit caused my heart to pant and the slightest physical exercise was intolerable to me, such as wrestling with another person; even to discuss my most cherished ideas appeared to me, and still appears, almost impossible.