It is significant that we owe the first explicit formulation of the principle of recurrence to the genius of Blaise Pascal... Pascal stated the principle in a tract called The Arithmetic Triangle which appeared in 1654. Yet... the gist of the tract was contained in the correspondence between Pascal and Fermat regarding a problem in gambling, the same correspondence which is now regarded as the nucleus from which developed the theory of probabilities. It surely is a fitting subject for mystic contemplation that the principle of reasoning by recurrence, which is so basic in pure mathematics, and the theory of probabilities, which is the basis of all deductive sciences, were both conceived while devising a scheme for the division of stakes in an unfinished match of two gamblers.
Blaise PascalRelated topics
arithmetic basic basis contemplation correspondence devising division explicit fitting formulation gambling genius gist match mathematics mystic now nucleus principle problem pure reasoning recurrence regarding scheme significant subject theory tract triangle while yet stakes pascal fermat sciencesRelated quotes
Education will enable young people quickly to familiarize themselves with the whole system of production and to pass from one branch of production to another in response to the needs of society or their own inclinations. It will, therefore, free them from the one-sided character which the present-day division of labor impresses upon every individual. Communist society will, in this way, make it possible for its members to put their comprehensively developed faculties to full use. But, when this happens, classes will necessarily disappear. It follows that society organized on a communist basis is incompatible with the existence of classes on the one hand, and that the very building of such a society provides the means of abolishing class differences on the other.
Friedrich Engels
Imagine each family as a kind of little factory--a multiperson unit producing meals, health, skills, children, and self-esteem from market goods and the time, skills, and knowledge of its members. This is only one of the remarkable concepts explored by Gary Becker in his landmark work on the family. Becker applies economic theory to the most sensitive and fateful personal decisions, such as choosing a spouse or having children. He uses the basic economic assumptions of maximizing behavior, stable preferences, arid equilibria in explicit or implicit markets to analyze the allocation of time to child care as well as to careers, to marriage and divorce in polygynous as well as monogamous societies, to the increase and decrease of wealth from one generation to another.
Gary Becker
The most promising lines of development of theory in the sociological and most immediately related fields, particularly the psychological and cultural, therefore, seem to be two-fold. One major direction is the theoretical elaboration and refinement of structural-functional analysis of social systems, including the relevant problems of motivation and their relation to cultural patterns. In this process, the structure of social action provides a basic frame of reference, and aspects of it become of direct substantive importance at many specific points. The main theoretical task, however, is more than a refinement of the conceptual scheme of the presently reprinted book - it involves transition and translation to a different level and focus of theoretical systematization.
Talcott Parsons
The spurious axioms of the third kind from conditions proper to the subject whence they are transferred rashly to the object are plentiful, not, as in those of the Second Class, because the only way to the intellectual concept lies through the sensuous data, but because only by aid of the latter can the concept be applied to that which is given by experience, that is, can we know whether something is contained under a certain intellectual concept or not. To this class belongs the threadbare one of the schools: whatever exists contingently does at some time not exist. This spurious principle springs from the poverty of the intellect, having insight frequently into the nominal, rarely into the real, marks of contingency or necessity.
Immanuel Kant
The decisive weakness in neoclassical and neo-Keynesian economics is not the error in the assumptions by which it elides the problem of power. The capacity for erroneous belief is very great, especially where it coincides with convenience. Rather, in eliding power - in making economics a nonpolitical subject - neoclassical theory destroys its relation to the real world. In that world, power is decisive in what happens. And the problems of that world are increasing both in number and in the depth of their social affliction. In consequence, neoclassical and neo-Keynesian economics is relegating its players to the social sidelines where they either call no plays or use the wrong ones. To change the metaphor, they manipulate levers to which no machinery is attached.
John Kenneth Galbraith
