[Student describing Niels Bohr's main gift, the ability to synthesize:] Like Socrates, he wages a fight to bring harmony out of chaos and diversity.

Amid the turmoil and tumult of battle, there may be seeming disorder and yet no real disorder at all.

But it seems to me equally obvious that the orderliness is not all-pervasive. There are streaks of order to be found among the chaos, and the nature of scientific method is to seek these out and to stick to them when found and to reject or neglect the chaos. It is obvious that we have succeeded in finding some order in nature, but this fact in itself does not prove anything farther.

Chaos is the score upon which reality is written.

Chaos often breeds life when order breeds habit.

Confucius once said that a bear could not fart at the North Pole without causing a big wind in Chicago.
By this he meant that all events, therefore, all men, are interconnected in an unbreakable web. What man does, no matter how seemingly insignificant, vibrates through the strands and affects every man.

Either an ordered Universe or a medley heaped together mechanically but still an order; or can order subsist in you and disorder in the Whole! And that, too, when all things are so distinguished and yet intermingled and sympathetic.

Ere land and sea and the all-covering sky
Were made, in the whole world the countenance
Of nature was the same, all one, well named
Chaos, a raw and undivided mass,
Naught but a lifeless bulk, with warring seeds
Of ill-joined elements compressed together.

Evolution is chaos with feedback.

God put a secret art into the forces of Nature so as to enable it to fashion itself out of chaos into a perfect world system.

If all mankind were to disappear, the world would regenerate back to the rich state of equilibrium that existed ten thousand years ago. If insects were to vanish, the environment would collapse into chaos.

If matter is not eternal, its first emergence into being is a miracle beside which all others dwindle into absolute insignificance. But, as has often been pointed out, the process is unthinkable; the sudden apocalypse of a material world out of blank nonentity cannot be imagined; its emergence into order out of chaos when “without form and void” of life, is merely a poetic rendering of the doctrine of its slow evolution.

It turns out that an eerie type of chaos can lurk just behind a façade of order—and yet, deep inside the chaos lurks an even eerier type of order.

Know then thyself, presume not God to scan;
The proper study of Mankind is Man.
Plac'd on this isthmus of a middle state,
A being darkly wise, and rudely great:
With too much knowledge for the Sceptic side,
With too much weakness for the Stoic's pride,
He hangs between; in doubt to act, or rest;
In doubt to deem himself a God, or Beast;
In doubt his Mind or Body to prefer,
Born but to die, and reas'ning but to err;
Alike in ignorance, his reason such,
Whether he thinks too little, or too much:
Chaos of Thought and Passion, all confus'd;
Still by himself abus'd, or disabus'd;
Created half to rise, and half to fall;
Great lord of all things, yet a prey to all;
Sole judge of Truth, in endless Error hurl'd:
The glory, jest, and riddle of the world!
... Superior beings, when of late they saw
A mortal Man unfold all Nature's law,
Admir'd such wisdom in an earthly shape,
And shew'd a NEWTON as we shew an Ape.

Life is order, death is disorder. A fundamental law of Nature states that spontaneous chemical changes in the universe tend toward chaos. But life has, during milliards of years of evolution, seemingly contradicted this law. With the aid of energy derived from the sun it has built up the most complicated systems to be found in the universe—living organisms. Living matter is characterized by a high degree of chemical organisation on all levels, from the organs of large organisms to the smallest constituents of the cell. The beauty we experience when we enjoy the exquisite form of a flower or a bird is a reflection of a microscopic beauty in the architecture of molecules.

Life, this anti-entropy, ceaselessly reloaded with energy, is a climbing force, toward order amidst chaos, toward light, among the darkness of the indefinite, toward the mystic dream of Love, between the fire which devours itself and the silence of the Cold.

Mankind have been slow to believe that order reigns in the universe—that the world is a cosmos and a chaos.
… The divinities of heathen superstition still linger in one form or another in the faith of the ignorant, and even intelligent men shrink from the contemplation of one supreme will acting regularly, not fortuitously, through laws beautiful and simple rather than through a fitful and capricious system of intervention.
... The scientific spirit has cast out the demons, and presented us with nature clothed in her right mind and living under the reign of law. It has given us, for the sorceries of the alchemist, the beautiful laws of chemistry; for the dreams of the astrologer, the sublime truths of astronomy; for the wild visions of cosmogony, the monumental records of geology; for the anarchy of diabolism, the laws of God.

Nature even in chaos cannot proceed otherwise than regularly and according to order.

Nature, when left to universal laws, tends to produce regularity out of chaos.

Nothing in Nature is random. … A thing appears random only through the incompleteness of our knowledge.

Order is not sufficient. What is required, is something much more complex. It is order entering upon novelty; so that the massiveness of order does not degenerate into mere repetition; and so that the novelty is always reflected upon a background of system.

Tell me these things, Olympian Muses, tell
From the beginning, which first came to be?
Chaos was first of all, but next appeared
Broad-bosomed Earth, Sure standing-place for all
The gods who live on snowy Olympus' peak,
And misty Tartarus, in a recess
Of broad-pathed earth, and Love, most beautiful
Of all the deathless gods. He makes men weak,
He overpowers the clever mind, and tames
The spirit in the breasts of men and gods.
From Chaos came black Night and Erebos.
And Night in turn gave birth to Day and Space
Whom she conceived in love to Erebos.
And Earth bore starry Heaven, first, to be
An equal to herself, to cover her
All over, and to be a resting-place,
Always secure, for all the blessed gods.Theogony, I. 114-28.

The Atoms or Particles, which now constitute Heaven and Earth, being once separate and diffused in the Mundane Space, like the supposed Chaos, could never without a God by their Mechanical affections have convened into this present Frame of Things or any other like it.

The most complex object in mathematics, the Mandelbrot Set ... is so complex as to be uncontrollable by mankind and describable as 'chaos'.

The rudest numerical scales, such as that by which the mineralogists distinguish different degrees of hardness, are found useful. The mere counting of pistils and stamens sufficed to bring botany out of total chaos into some kind of form. It is not, however, so much from counting as from measuring, not so much from the conception of number as from that of continuous quantity, that the advantage of mathematical treatment comes. Number, after all, only serves to pin us down to a precision in our thoughts which, however beneficial, can seldom lead to lofty conceptions, and frequently descend to pettiness.

The theory of probability is the only mathematical tool available to help map the unknown and the uncontrollable. It is fortunate that this tool, while tricky, is extraordinarily powerful and convenient.

Who shall declare the time allotted to the human race, when the generations of the most insignificant insect also existed for unnumbered ages? Yet man is also to vanish in the ever-changing course of events. The earth is to be burnt up, and the elements are to melt with fervent heat—to be again reduced to chaos—possibly to be renovated and adorned for other races of beings. These stupendous changes may be but cycles in those great laws of the universe, where all is variable but the laws themselves and He who has ordained them.

[My advice] will one day be found
With other relics of 'a former world,'
When this world shall be former, underground,
Thrown topsy-turvy, twisted, crisped, and curled,
Baked, fried or burnt, turned inside-out, or drowned,
Like all the worlds before, which have been hurled
First out of, and then back again to Chaos,
The Superstratum which will overlay us.

… it may happen that small differences in the initial conditions produce very great ones in the final phenomena.