The need for a fundamentally different approach to the study of physical processes at the molecular level motivated the development of relevant statistical methods, which turned out to be applicable not only to the study of molecular processes (statistical mechanics), but to a host of other areas such as the actuarial profession, design of large telephone exchanges, and the like. In statistical methods, specific manifestations of microscopic entities (molecules, individual telephone sites, etc.) are replaced with their statistical averages, which are connected with appropriate macroscopic variables. The role played in Newtonian mechanics by the calculus, which involves no uncertainty, is replaced in statistical mechanics by probability theory, a theory whose very purpose is to capture uncertainty of a certain type.
George KlirRelated topics
approach calculus certain development different host large mechanics molecular need newtonian probability purpose specific study telephone etcRelated quotes
The advent of the Computer age has stimulated a rapid expansion in the use of quantitative techniques for the analysis of economic, urban, social, biological and other types of systems in which it is the animate rather than in dominant role. At present, most of the techniques employed for the analysis of humanistic, i.e., human centred systems are adaptations of the methods that have been developed over a long period of time for dealing with mechanistic systems, i.e., physical systems governed in the main by-the laws of mechanics, electromagnetism, and thermodynamics. The remarkable successes of these methods in unraveling the secrets of nature and enabling us to build better and better machines have inspired a widely held belief that the same or similar techniques can be applied with comparable effectiveness to the analysis of humanistic systems.
Lotfi A. Zadeh
As the natural sciences have developed to encompass increasingly complex systems, scientific rationality has become ever more statistical, or probabilistic. The deterministic classical mechanics of the enlightenment was revolutionized by the near-equilibrium statistical mechanics of late 19th century atomists, by quantum mechanics in the early 20th century, and by the far-from-equilibrium complexity theorists of the later 20th century. Mathematical neo-Darwinism, information theory, and quantitative social sciences compounded the trend. Forces, objects, and natural types were progressively dissolved into statistical distributions: heterogeneous clouds, entropy deviations, wave functions, gene frequencies, noise-signal ratios and redundancies, dissipative structures, and complex systems at the edge of chaos.
Nick Land
We have already various treatises on Mechanics, but the plan of this one is entirely new. I intend to reduce the theory of this Science, and the art of solving problems relating to it, to general formulae, the simple development of which provides all the equations necessary for the solution of each problem. I hope that the manner in which I have tried to attain this object will leave nothing to be desired. No diagrams will be found in this work. The methods that I explain require neither geometrical, nor mechanical, constructions or reasoning, but only algebraical operations in accordance with regular and uniform procedure. Those who love Analysis will see with pleasure that Mechanics has become a branch of it, and will be grateful to me for having thus extended its domain.
Joseph Louis Lagrange
We ought to be able to see more clearly just for what reason the mass-man is so easily turned into a fanatic. What I seem to myself to have grasped is this, that such permeability is due to the fact that man, that the individual, in order to belong to the mass, to be a mass-man, has had, as a preliminary, though without having had the least awareness of it, to divest himself of that substantial reality which was linked to his initial individuality or rather to the fact of his belonging to a small actual group. The incredibly sinister role of the press, the cinema, the radio, has consisted in passing that original reality through a pair of flattening rollers to substitute for it a superimposed pattern of ideas and images with no real roots in the deep being of the subject of this experiment.
Gabriel Marcel
As a graduate student at Yale, I studied the whole of Christian theology but focused my attention on the Darwinian controversies. I wanted to get to the root of the conflict between Darwinian evolution and Christian doctrine. In the course of my research I learned (to my surprise) that biblical chronology played almost no role in the 19th- century controversies, since most theologians had already accepted geological evidence for the age of the earth and re-interpreted the days in Genesis as long periods of time. Instead, the central issue was design. God created the cosmos with a plan in mind. This affirmation is among the most basic in all of Christianity (and other theistic religions as well, including Unificationism). And that plan included human beings as the final outcome of the creative process: we are created in the image of God.
Jonathan Wells