“For a long time one school of players favored the technique of stating side by side, developing in counterpoint, and finally harmoniously combining two hostile themes or ideas, such as law and freedom, individual and community. In such a Game the goal was to develop both themes or theses with complete equality and impartiality, to evolve out of thesis and antithesis the purest possible synthesis. In general, aside from certain brilliant exceptions, Games with discordant, negative, or skeptical conclusions were unpopular and at times actually forbidden. This followed directly from the meaning the Game had acquired at its height for the players. It represented an elite, symbolic form of seeking for perfection, a sublime alchemy, an approach to that Mind which beyond all images and multiplicities is one within itself — in other words, to God. Pious thinkers of earlier times had represented the life of creatures, say, as a mode of motion toward God, and had considered that the variety of the phenomenal world reached perfection and ultimate cognition only in the divine Unity. Similarly, the symbols and formulas of the Glass Bead Game combined structurally, musically, and philosophically within the framework of a universal language, were nourished by all the sciences and arts, and strove in play to achieve perfection, pure being, the fullness of reality. ”

No one can, in case of affairs, abandon the conviction that the future is co-determined by his transactions.
Antimonies
Gesammelte Mathematische Werke (1876)

The Glass Bead Game (1943)
Context: Under the shifting hegemony of now this, now that science or art, the Game of games had developed into a kind of universal language through which the players could express values and set these in relation to one another. Throughout its history the Game was closely allied with music, and usually proceeded according to musical and mathematical rules. One theme, two themes, or three themes were stated, elaborated, varied, and underwent a development quite similar to that of the theme in a Bach fugue or a concerto movement. A Game, for example, might start from a given astronomical configuration, or from the actual theme of a Bach fugue, or from a sentence out of Leibniz or the Upanishads, and from this theme, depending on the intentions and talents of the player, it could either further explore and elaborate the initial motif or else enrich its expressiveness by allusions to kindred concepts. Beginners learned how to establish parallels, by means of the Game's symbols, between a piece of classical music and the formula for some law of nature. Experts and Masters of the Game freely wove the initial theme into unlimited combinations.

Improvisation for the Theater 1963), page 4

Antimonies
Gesammelte Mathematische Werke (1876)

Source: Time Cat (1963), Chapter 15 “The Manxmen” (p. 152)

As quoted by Thomas Little Heath, Diophantos of Alexandria: https://books.google.com/books?id=ABkPAAAAIAAJ A Study in the History of Greek Algebra (1885)
Arithmetica (c. 250 AD)

describing the view of Stendhal, p. 84.
The Revival of Aristocracy (1906)

Determinism.
Antimonies
Gesammelte Mathematische Werke (1876)