General Systems Theory is a name which has come into use to describe a level of theoretical model-building which lies somewhere between the highly generalized constructions of pure mathematics and the specific theories of the specialized disciplines. Mathematics attempts to organize highly general relationships into a coherent system, a system however which does not have any necessary connections with the "real" world around us. It studies all thinkable relationships abstracted from any concrete situation or body of empirical knowledge.
Kenneth BouldingRelated topics
body concrete general knowledge mathematics name necessary pure real situation somewhere specific use liesRelated quotes
Of the various executive abilities, no one excited more anxious concern than that of placing the interests of our fellow-citizens in the hands of honest men, with understanding sufficient for their stations. No duty is at the same time more difficult to fulfil. The knowledge of character possessed by a single individual is of necessity limited. To seek out the best through the whole Union, we must resort to the information which from the best of men, acting disinterestedly and with the purest motives, is sometimes incorrect.
Thomas Jefferson
But a kind of genius can come of this deprivation of sensation, of experience. It has been mistaken as naïve intelligence, when in fact it is empty intelligence, pure intelligence. The composition of the mind is altered. Its previous cultivation is disintegrated and it has greater access to the brain, the body: it is Supersanity. Learning is turned inside out. You have to start from the top and work your way down. You must study mathematical theory before simple arithmetic; theoretical physics before applied physics; anatomy, you might say, before you can walk.
Jack Abbott
It is hard for you to appreciate that modern mathematics has become so extensive and so complex that it is essential, if mathematics is to stay as a whole and not become a pile of little bits of research, to provide a unification, which absorbs in some simple and general theories all the common substrata of the diverse branches if the science, suppressing what is not so useful and necessary, and leaving intact what is truly the specific detail of each big problem. This is the good one can achieve with axiomatics (and this is no small achievement). This is what Bourbaki is up to.
André Weil
To-day the most comprehensive system of social security ever introduced into any country would start in Britain. The four Acts-National Insurance, Industrial Injuries, National Assistance, and National Health Service-represented the main body of the army of social security... We cannot create a scheme which gives the nation a whole more than they put into it, and it is always the general level of production that settles our standard of material well-being. Only higher output can give us more of the things we all need. This will decide the real value of the money payments.
Clement Attlee
Phenomena of the external sense are examined and set forth in physics; those of the internal sense in empirical psychology. Pure mathematics considers space in geometry and time in pure mechanics. To these is to be added a certain concept, intellectual to be sure in itself, but whose becoming actual in the concrete requires the auxiliary notions of time and space in the successive addition and simultaneous juxtaposition of separate units, which is the concept of number treated in arithmetic.
Immanuel Kant