Fourier Quotes

It is known that the best nations have always been those which concede the greatest amount of liberty to women. ~ Charles Fourier

Any civilized administration, however organized, prefers its own good to that of the people ... ~ Charles Fourier

Educated men - "civilized," as Fourier used to say with disdain - tremble at the idea that society might some day be without judges, police, or gaolers. ~ Peter Kropotkin

Margaret Fuller was already a celebrity, travelling around the world. Emerson, who was the axis around which that whole community turned, just didn't like Fourier's ideas very much. He thought it was all too rigid and programmatic. He said, "Fourier had skipped no fact but one, namely life." He thought it was an inhumane system - the day is scheduled too precisely. He didn't think it would work, and he was right. ~ Christine Jennings

the root of the opposition to liberalism cannot be reached by resort to the method of reason. This opposition does not stem from the reason, but from a pathological mental attitude, from resentment and from a neurasthenic condition that one might call a Fourier complex, after the French socialist of that name ~ Ludwig Von Mises

Philosophy was right to vaunt liberty; it is the foremost desire of all creatures. But philosophy forgot that in civilized societies liberty is illusory if the common people lack wealth. When the wage-earning classes are poor, their independence is as fragile as a house without foundations. The free man who lacks wealth immediately sinks back under the yoke of the rich. The newly freed slave takes fright at the need of providing for his own subsistence and hastens to sell himself back into slavery in order to escape this new anxiety that hangs over him like Damocles' sword. In thoughtlessly giving him liberty without wealth, you merely replace his physical torment with a mental torment. He finds life burdensome in his new state... Thus when you give liberty to the people, it must be bolstered by two supports which are the guarantee of comfort and industrial attraction... ~ Charles Fourier

Matt laughed. "Close. That was last year. This year it's Obsessive Deovtion to Fourier Analysis Theory and Applications. And my personal favorite, Quantum Physics II: Romantic Entanglements of Energy and Matter."
Julie turned her head to Matt. "You're a double major? Physics and math? Jesus ... "
"I know. Nerdy." He shrugged.
"No, I'm impressed. I'm just surprised your brains fit in your head."
"I was fitted with a specially desinged compression filter that allows excessive information to lie dormant until I need to access it. It's only the Beta version, so excuse any kinks that may appear. I really can't be held responsible. ~ Jessica Park

The whole aspect of the universe changes with this new conception. The idea of force governing the world, of pre-established law, preconceived harmony, disappears to make room for the harmony that Fourier had caught a glimpse of: the one which results from the disorderly and incoherent movements of numberless hosts of matter, each of which goes its own way and all of which hold each other in equilibrium. ~ Peter Kropotkin

The fatal flaw of most utopian visions is that they're fundamentally static, and that's not a comfortable place for humans to live. Fourier was very good at imagining a utopia that is constantly changing and very busy, but a vision of paradise that would have been most tantalizing to an underfed overworked factory worker in 1840 doesn't have much appeal in fiction because it's not a story. ~ Christine Jennings

Mathematics compares the most diverse phenomena and discovers the secret analogies that unite them. ~ Joseph Fourier

Despots prefer the friendship of the dog, who, unjustly mistreated and debased, still loves and serves the man who wronged him. ~ Charles Fourier

The peoples of civilization see their wretchedness increase in direct proportion to the advance of industry. ~ Charles Fourier

One could judge the degree of civilization of a country by the social and political position of its women ~ Charles Fourier

The Civilized ... murder their children by producing too many of them without being able to provide for their well-being. Morality or theories of false virtue stimulate them to manufacture cannon fodder, anthills of conscripts who are forced to sell themselves out of poverty. This improvident paternity is a false virtue, the selfishness of pleasure. ~ Charles Fourier

Hosts of merchants encumber the cities, and the streets are cluttered with solicitors who swarm without limit or purpose. ~ Charles Fourier

Roughly speaking what Fourier developed was a mathematical way of converting any pattern, no matter how complex, into a language of simple waves. He also showed how these wave forms could be converted back into the original pattern. In other words, just as a television camera converts an image into electromagnetic frequencies and a television set converts those frequencies back into the original image, Fourier showed how a similar process could be achieved mathematically. The equations he developed to convert images into wave forms and back again are known as Fourier transforms. ~ Michael Talbot

the family is a group that needs to escape from itself... ~ Charles Fourier

For Dostoevsky, Fourier is one of the industrious ant-hill engineers, busy, protected by the delusion that his goal, the will-ordered society, is the summation of all his desires. ~ John Carroll

Who is wiser: the man who plants flowers along life's way or the man who makes it bristle with thorns? ~ Charles Fourier

The philosophers say that the passions are too lively, too fiery; in truth they are weak and languid. All around one sees the mass of men endure the persecution of a few masters and the despotism of prejudices without offering the slightest resistance... their passions are too weak to permit them to derive audacity from despair. ~ Charles Fourier

Furious, the beast writhed and wriggled its iterated integrals beneath the King's polynomial blows, collapsed into an infinite series of indeterminate terms, then got back up by raising itself to the nth power, but the King so belabored it with differentials and partial derivatives that its Fourier coefficients all canceled out (see Riemann's Lemma), and in the ensuing confusion the constructors completely lost sight of both King and beast. So they took a break, stretched their legs, had a swig from the Leyden jug to bolster their strength, then went back to work and tried it again from the beginning, this time unleashing their entire arsenal of tensor matrices and grand canonical ensembles, attacking the problem with such fervor that the very paper began to smoke. The King rushed forward with all his cruel coordinates and mean values, stumbled into a dark forest of roots and logarithms, had to backtrack, then encountered the beast on a field of irrational numbers (F1) and smote it so grievously that it fell two decimal places and lost an epsilon, but the beast slid around an asymptote and hid in an n-dimensional orthogonal phase space, underwent expansion and came out, fuming factorially, and fell upon the King and hurt him passing sore. But the King, nothing daunted, put on his Markov chain mail and all his impervious parameters, took his increment Δk to infinity and dealt the beast a truly Boolean blow, sent it reeling through an x-axis and several brackets - but the beast ~ Stanisław Lem

Certainly in each social period, youth must be made to venerate the dominant absurdities. ~ Charles Fourier

Under civilization poverty is born of superabundance itself. ~ Charles Fourier

… Fourier's great mathematical poem ...

{Referring to Joseph Fourier's mathematical theory of the conduction of heat, one of the precursors to thermodynamics.} ~ William Thomson, 1st Baron Kelvin

The vision shared by both [French utopian] Charles Fourier and Robert Owen was for an entire town to fit into one structure. Owen's design for what he called a "parallelogram" was essentially to have a whole city in one building, laid out around a huge quadrangle. Fourier's scheme was to build a massive Versailles-like structure that he called a "phalanstery." In both cases they had these architectural dreams that we now recognize as pretty unappealing. ~ Christine Jennings

A clever graduate student could teach Fourier something new, but
surely no one claims that he could teach Archimedes to reason
better. ~ Paul Halmos

Condon, quick on his feet, replied that the accusation was untrue. He was not a revolutionary in physics. He raised his right hand: "I believe in Archimedes' Principle, formulated in the third century B.C. I believe in Kepler's laws of planetary motion, discovered in the seventeenth century. I believe in Newton's laws.…" And on he went, invoking the illustrious names of Bernoulli, Fourier, Ampère, Boltzmann, and Maxwell. ~ Carl Sagan

Primary causes are unknown to us; but are subject to simple and constant laws, which may be discovered by observation, the study of them being the object of natural philosophy.
Heat, like gravity, penetrates every substance of the universe, its rays occupy all parts of space. The object of our work is to set forth the mathematical laws which this element obeys. The theory of heat will hereafter form one of the most important branches of general physics. ~ Joseph Fourier

The mathematical thermology created by Fourier may tempt us to hope that, as he has estimated the temperature of the space in which we move, me may in time ascertain the mean temperature of the heavenly bodies: but I regard this order of facts as for ever excluded from our recognition. We can never learn their internal constitution, nor, in regard to some of them, how heat is absorbed by their atmosphere. We may therefore define Astronomy as the science by which we discover the laws of the geometrical and mechanical phenomena presented by the heavenly bodies. ~ Auguste Comte

Love in the Phalanstery is no longer, as it is with us, a recreation which detracts from work; on the contrary it is the soul and the vehicle, the mainspring, of all works and of the whole of universal attraction. ~ Charles Fourier

To confound the tyranny of man there should exist for a century a third sex, both male and female, and stronger than men. This new sex would prove with the lash that men as well as women are made for its pleasure; and then you would hear men protesting against the tyranny of the hermaphrodite sex and admitting that strength should not be the sole rule of right. Just why do they refuse to grant the women the independence which they would demand from the third sex? ~ Charles Fourier

It is easy to compress the passions by violence. Philosophy suppresses them with a stroke of the pen. Locks and the sword come to the aid of sweet morality, but nature appeals these judgments; she regains her rights in secret. Passion stifled at one point reappears at another like water held back by a dike; it is driven inward like the fluid of an ulcer closed to soon. ~ Charles Fourier

Once upon a time people talked about the infallibility of the pope; today it is that of the merchant which they wish to establish. ~ Charles Fourier

Despite the popularity of this view, the DeValoises felt it was only a partial truth. To test their assumption they used Fourier's equations to convert plaid and checkerboard patterns into simple wave forms. Then they tested to see how the brain cells in the visual cortex responded to these new wave-form images. What they found was that the brain cells responded not to the original patterns, but to the Fourier translations of the patterns. Only one conclusion could be drawn. The brain was using Fourier mathematics - the same mathematics holography employed - to convert visual images into the Fourier language of wave forms. 12 The DeValoises' discovery was subsequently confirmed by numerous other laboratories around the world, and although it did not provide absolute proof the brain was a hologram, it supplied enough evidence to convince Pribram his theory was correct. Spurred on by the idea that the visual cortex was responding not to patterns but to the frequencies of various wave forms, he began to reassess the role frequency played in the other senses. It didn't take long for him to realize that the importance of this role had perhaps been overlooked by twentieth-century scientists. Over a century before the DeValoises' discovery, the German physiologist and physicist Hermann von Helmholtz had shown that the ear was a frequency analyzer. More recent research revealed that our sense of smell seems to be based on what are called osmic frequencies. Bekesy's work had clearly d ~ Michael Talbot

The profound study of nature is the most fertile source of mathematical discovery. ~ Joseph Fourier

Civilization is a social plague on the planet, and vices are just as necessary to it as is a virus to disease. ~ Charles Fourier

Attractions are proportional to destinies. ~ Charles Fourier

Fourier is a mathematical poem. ~ Lord Kelvin

True greatness is when your name is like ampere, watt, and fourier - when it's spelled with a lower case letter. ~ Richard Hamming

The extension of women's rights is the basic principle of all social progress. ~ Charles Fourier

Certainly not! I didn't build a machine to solve ridiculous crossword puzzles! That's hack work, not Great Art! Just give it a topic, any topic, as difficult as you like..."
Klapaucius thought, and thought some more. Finally he nodded and said:
"Very well. Let's have a love poem, lyrical, pastoral, and expressed in the language of pure mathematics. Tensor algebra mainly, with a little topology and higher calculus, if need be. But with feeling, you understand, and in the cybernetic spirit."
"Love and tensor algebra?" Have you taken leave of your senses?" Trurl began, but stopped, for his electronic bard was already declaiming:

Come, let us hasten to a higher plane,
Where dyads tread the fairy fields of Venn,
Their indices bedecked from one to n,
Commingled in an endless Markov chain!

Come, every frustum longs to be a cone,
And every vector dreams of matrices.
Hark to the gentle gradient of the breeze:
It whispers of a more ergodic zone.

In Reimann, Hilbert or in Banach space
Let superscripts and subscripts go their ways.
Our asymptotes no longer out of phase,
We shall encounter, counting, face to face.

I'll grant thee random access to my heart,
Thou'lt tell me all the constants of thy love;
And so we two shall all love's lemmas prove,
And in bound partition never part.

For what did Cauchy know, or Christoffel,
Or Fourier, or any Boole or Euler, ~ Stanisław Lem