No subscription or hidden extras
Read through the most famous quotes by topic #theo
Divinity for the sake of the simple-minded is beautiful. Those theological assertions you write, say, or live by that you later feel foolish about, it means God still lives in you enough to tell you that they were indeed foolish. By mistakes you know you are alive. ↗
Fight for us, O God, that we not drift numb and blind and foolish into vain and empty excitements. Life is too short, too precious, too painful to waste on worldly bubbles that burst. Heaven is too great, hell is too horrible, eternity is too long that we should putter around on the porch of eternity. ↗
If we increase r [in a logistic map] even more, we will eventually force the system into a period-8 limit cycle, then a period-16 cycle, and so on. The amount that we have to increase r to get another period doubling gets smaller and smaller for each new bifurcation. This cascade of period doublings is reminiscent of the race between Achilles and the tortoise, in that an infinite number of bifurcations (or time steps in the race) can be confined to a local region of finite size. At a very special critical value, the dynamical system will fall into what is essentially an infinite-period limit cycle. This is chaos. ↗