Warning. It is usual to read into the law of large numbers things which it definitely does not imply. If Peter and Paul toss a perfect coin 10,000 times, it is customary to expect that Peter will be in the lead roughly half the time. This is not true. In a large number of different coin-tossing games it is reasonable to expect that any fixed moment heads will be in the lead in roughly half of all cases. But it is quiet likely that the player who ends at the winning side has been in the lead for practically the whole duration of the game. Thus, contrary to widespread belief, the time average for any individual game has nothing to do with the ensemble average at any given moment.
William FellerRelated topics
coin different duration ensemble expect game given half large law lead likely moment nothing number perfect quiet read side thus times warning winning things ends headsRelated quotes
Nobody should start to undertake a large project. You start with a small trivial project, and you should never expect it to get large. If you do, you'll just overdesign and generally think it is more important than it likely is at that stage. Or worse, you might be scared away by the sheer size of the work you envision. So start small, and think about the details. Don't think about some big picture and fancy design. If it doesn't solve some fairly immediate need, it's almost certainly over-designed. And don't expect people to jump in and help you. That's not how these things work. You need to get something half-way useful first, and then others will say "hey, that almost works for me", and they'll get involved in the project.
Linus Torvalds
I have certainly never contended that generally authoritarian governments are more likely to secure individual liberty than democratic ones, but rather the contrary. This does not mean, however, that in some historical circumstances personal liberty may not have been better protected under an authoritarian than democratic government. (...) More recently I have not been able to find a single person even in much maligned Chile who did not agree that personal freedom was much greater under Pinochet than it had been under Allende. Nor have I heard any sensible person claim that in the principalities of Monaco or Lichtenstein, which I am told are not precisely democratic, personal liberty is smaller than anywhere else!
Friedrich Hayek
There has been great difficulty in getting able bodied negroes to fill up the colored regiments in consequence of the rebel cavalry runing off all that class to Georgia and Texas. This is especially the case for a distance of fifteen or twenty miles on each side of the river. I am now however sending two expeditions into Louisiana, one from Natchez to Harrisonburg and one from Goodriche's Landing to Monroe, that I expect will bring back a large number. I have ordered recruiting officers to accompany these expeditions. I am also having a Brigade of Cavalry from Tennessee to Vicksburg which will enable me to move troops to a greater distance into the interior and will facilitate materially the recruiting service.
Ulysses S. Grant
The free being with absolute freedom proposes to itself certain ends. It wills because it wills, and the willing of an object is itself the last ground of such willing. Thus we have previously determined a free being, and any other determination would destroy the conception of an Ego, or of a free being. Now, if it could be so arranged that the willing of an unlawful end would necessarily - in virtue of an always effective law - result in the very reverse of that end, then the unlawful will would always ANNIHILATE ITSELF. A person could not will that end for the very reason because he did will it; his unlawful will would become the ground of its own annihilation, as the will is indeed always its own last ground.
Johann Gottlieb Fichte
A person examining too nearly a small portion of a very large circle... would see in this detached portion merely a certain quantity of physical points, grouped in a more or less irregular manner, and so, indeed, as to seem as if they had been arranged by chance... But, placing himself at a greater distance, the eye embraces of necessity a greater number of points, and already a degree of regularity is observable... and by removing still farther from the object, the observer loses sight of the individual points, no longer observes any accidental or odd arrangements amongst them, but discovers at once the law presiding over their general arrangements, and the precise nature of the circle so traced.
Adolphe Quetelet