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A bare two or three decades later the Game seems to have lost some of its popularity among students of music, but instead was taken over by mathematicians. For a long while, indeed, a characteristic feature in the Game’s history was that it was constantly preferred, used, and further elaborated by whatever branch of learning happened to be experiencing a period of high development or a renaissance. The mathematicians brought the Game to a high degree of flexibility and capacity for sublimation, so that it began to acquire something approaching a consciousness of itself and its possibilities. This process paralleled the general evolution of cultural consciousness, which had survived the great crisis and had, as Plinius Ziegenhalss puts it, “with modest pride accepted the fate of belonging to a culture past its prime, as was the case with the culture of late antiquity: Hellenistic culture in the Alexandrian Age.”

So much for Ziegenhalss. We shall now attempt to sketch the further steps in the history of the Glass Bead Game. Having passed from the musical to the mathematical seminaries (a change which took place in France and England somewhat sooner than in Germany), the Game was so far developed that it was capable of expressing mathematical processes by special symbols and abbreviations. The players, mutually elaborating these processes, threw these abstract formulas at one another, displaying the sequences and possibilities of their science. This mathematical and astronomical game of formulas required great attentiveness, keenness, and concentration. Among mathematicians, even in those days, the reputation of being a good Glass Bead Game player meant a great deal; it was equivalent to being a very good mathematician.

At various times the Game was taken up and imitated by nearly all the scientific and scholarly disciplines, that is, adapted to the special fields. There is documented evidence for its application to the fields of classical philology and logic. The analytical study of musical values had led to the reduction of musical events to physical and mathematical formulas. Soon afterward philology borrowed this method and began to measure linguistic configurations as physics measures processes in nature. The visual arts soon followed suit, architecture having already led the way in establishing the links between visual art and mathematics. Thereafter more and more new relations, analogies, and correspondences were discovered among the abstract formulas obtained in this way. Each discipline which seized upon the Game created its own language of formulas, abbreviations, and possible combinations. Everywhere, the elite intellectual youth developed a passion for these Games, with their dialogues and progressions of formulas. The Game was not mere practice and mere recreation; it became a form of concentrated self-awareness for intellectuals. Mathematicians in particular played it with a virtuosity and formal strictness at once athletic and ascetic. It afforded them a pleasure which somewhat compensated for their renunciation of worldly pleasures and ambitions. For by then such renunciation had already become a regular thing for intellectuals. The Glass Bead Game contributed largely to the complete defeat of feuilletonism and to that newly awakened delight in strict mental exercises to which we owe the origin of a new, monastically austere intellectual discipline.

The world had changed. The life of the mind in the Age of the Feuilleton might be compared to a degenerate plant which was squandering its strength in excessive vegetative growth, and the subsequent corrections to pruning the plant back to the roots. The young people who now proposed to devote themselves to intellectual studies no longer took the term to mean attending a university and taking a nibble of this or that from the dainties offered by celebrated and loquacious professors who without authority offered them the crumbs of what had once been higher education. Now they had to study just as stringently and methodically as the engineers and technicians of the past, if not more so. They had a steep path to climb, had to purify and strengthen their minds by dint of mathematics and scholastic exercises in Aristotelian philosophy. Moreover, they had to learn to renounce all those benefits which previous generations of scholars had considered worth striving for: rapid and easy money-making, celebrity and public honors, the homage of the newspapers, marriages with daughters of bankers and industrialists, a pampered and luxurious style of life. The writers with heavy sales, Nobel Prizes, and lovely country houses, the celebrated physicians with decorations and liveried servants, the professors with wealthy wives and brilliant salons, the chemists with posts on boards of directors, the philosophers with feuilleton factories who delivered charming lectures in overcrowded halls, for which they were rewarded with thunderous applause and floral tributes — all such public figures disappeared and have not come back to this day. Even so, no doubt, there were still plenty of talented young people for whom such personages were envied models. But the paths to honors, riches, fame, and luxury now no longer led through lecture halls, academies, and doctoral theses. The deeply debased intellectual professions were bankrupt in the world’s eyes. But in compensation they had regained a fanatical and penitential devotion to art and thought. Those talented persons whose desires tended more toward glory or comfortable living had to turn their backs on the intellectual life, which had become so austere, and seek out occupations which still provided opportunities for comfort and money-making.

It would lead us too far afield to attempt to describe in detail how the world of Mind, after its purification, won a place for itself in the State. Experience soon showed that a few generations of lax and unscrupulous intellectual discipline had also sufficed to inflict serious harm on practical life. Competence and responsibility had grown increasingly rare in all the higher professions, including even those concerned with technology. To remedy this, supervision of the things of the mind among the people and in government came to be consigned more and more to the “intellectuals” in the best sense of the word. This was particularly the case with the entire educational system; and indeed the situation is little changed to this day. In almost all the countries of Europe today the schools that are not still administered by the Roman Church are in the hands of those anonymous Orders which fill their ranks from the elite among the intellectuals. Although public opinion occasionally decries the strictness and the reputed arrogance of this caste, and although individuals have occasionally revolted against it, this leadership stands unshaken. Its integrity, its renunciation of all benefits and advantages other than intellectual ones, maintains and protects it. But it is also supported by what has long since become common knowledge, or at least a universal sense, that the continuance of civilization depends on this strict schooling. People know, or dimly feel, that if thinking is not kept pure and keen, and if respect for the world of the mind is no longer operative, ships and automobiles will soon cease to run right, the engineer’s slide rule and the computations of banks and stock exchanges will forfeit validity and authority, and chaos will ensue. It took long enough in all conscience for realization to come that the externals of civilization — technology, industry, commerce, and so on — also require a common basis of intellectual honesty and morality.

To return now to the Glass Bead Game: what it lacked in those days was the capacity for universality, for rising above all the disciplines. The astronomers, the classicists, the scholastics, the music students all played their Games according to their ingenious rules, but the Game had a special language and set of rules for every discipline and subdiscipline. It required half a century before the first step was taken toward spanning these gulfs. The reason for this slowness was undoubtedly more moral than formal and technical. The means for building the spans could even then have been found, but along with the newly regenerated intellectual life went a puritanical shrinking from “foolish digressions,” from intermingling of disciplines and categories. There was also a profound and justified fear of relapse into the sin of superficiality and feuilletonism.