CCLXXX

271. It is helpful to remember that there are numerous mathematical systems.

272. What we are willing to risk is frequently indicative of our values. (253)

273. Usually, we risk what is of most value to ourselves for what is most attractive.

274. Inevitably, the subject risked is of greater intrinsic value than the object of the risk.

275. At the same time, gain comes only by means of risk. So while it may be possible to maintain the status quo without risk, it is impossible to grow.

276. Socially, people will risk their greatest assets for the slightest of goals if the most insignificant details of their daily routines can remain unchanged and unchallenged.

277. It would appear, then, that the swiftest means of preventing a rational risk or of ending one (i.e. war) is to maintain an internal threat to the mundane. (See Lysistrata, for example) (240)

278. The possibility of being disobedient to “natural laws” (as in gravity, etc.) is enhanced by the possibility of shifting to a different mathematical system. (271, 195) The changing of 1+1=2 to 1+1=10 is as simple as changing from a decimal to a binary system. What may be possible by shifting from Euclidean to Tetrahedronal geometry?

279. Mathematics is the first great division of philosophy, music the second, and theology the third.

280. (274) x risked for y in which x > y but for which y is not possible without x. Gain (275) is found only in x + y.