World War, with what was left of the cable railway that had transported the coal from the mouth of the tunnel to the station at Altstàdten below. Not all our excursions, however, were made with a specific purpose. On particularly fine days we often simply went out into the fields, to go on with our botany or sometimes, under a botanical pretext, simply to idle the time away. On these occasions, usually in early summer, the son of Wohlfahrt the barber and undertaker would frequently join us. Known to everyone as Mangold, and reckoned to be not quite right in the head, he was of uncertain age and of a childlike disposition. It made him deliriously happy, a gangling fellow among school-children not yet into adolescence, to tell us on which day of the week any past or future date we cared to name would fall — despite the fact that he was otherwise incapable of solving the simplest mathematical problem. If, say, one told Mangold that one was born on the 18th of May, 1944, he would shoot back without a moment's hesitation that that was a Thursday. And if one tried difficult questions on him, such as the Pope's or King Ludwig's date of birth, again he could say what day of the week it was, in a flash. Paul, who excelled at mental arithmetic and was a first-rate mathematician, tried for years to fathom Mangold's secret, setting him complicated tests, asking questions, and going to a variety of other lengths. As far as I am aware, though, neither he nor anyone else ever worked it out, because Mangold hardly understood the questions he was asked. That aside, Paul, like Mangold and the rest of us, clearly enjoyed our outings into the countryside. Wearing his windcheater, or simply in shirtsleeves, he would walk ahead of us with his face slightly upturned, taking those long and springy steps that were so characteristic, the very image (as I realize only now as I look back) of the German Wandervogel
hiking movement, which must have had a lasting influence on him from his youth. Paul was in the habit of whistling continuously as he walked across the fields. He was an amazingly good whistler; the sound he produced was marvellously rich, exactly like a flute's. And even when he was climbing a mountain, he would with apparent ease whistle whole runs and ties in connected sequence, not just anything, but fine, thoroughly composed passages and melodies that none of us had ever heard before, and which infallibly gave a wrench to my heart whenever, years later, I rediscovered them in a Bellini opera or Brahms sonata. When we rested on the way, Paul would take his clarinet, which he carried with him without fail in an old cotton stocking, and play various pieces, chiefly slow movements, from the classical repertoire, with which I was then completely unfamiliar. Apart from these music lessons at which we were merely required to provide an audience, we would learn a new song at least once a fortnight, the contemplative again being given preference over the merry. "Zu Strassburg auf der Schanz, da fing mein Trauern an", "Auf den Bergen die Burgen", "Im Krug zum griinen Kranze" or "Wir gleiten hinunter das Ufer entlang" were the kinds of songs we learnt. But I did not grasp the true meaning that music had for Paul till the extremely talented son of Brandeis the organist, who was already studying at the conservatoire, came to our singing lesson (at Paul's instigation, I assume) and played on his violin to an audience of peasant boys (for that is what we were, almost without exception). Paul, who was standing by the window as usual, far from being able to hide the emotion that young Brandeis's playing produced in him, had to remove his glasses because his eyes had filled with tears. As I remember it, he even turned away in order to conceal from us the sob that rose in him. It was not only music, though, that affected Paul in this way; indeed, at any time — in the middle of a lesson, at break, or on one of our outings — he might stop or sit down somewhere, alone and apart from us all, as if he, who was always in good spirits and seemed so cheerful, was in fact desolation itself.