Formal Quotes - page 9
The definition of random in terms of a physical operation is notoriously without effect on the mathematical operations of statistical theory because so far as these mathematical operations are concerned random is purely and simply an undefined term. The formal and abstract mathematical theory has an independent and sometimes lonely existence of its own. But when an undefined mathematical term such as random is given a definite operational meaning in physical terms, it takes on empirical and practical significance. Every mathematical theorem involving this mathematically undefined concept can then be given the following predictive form: If you do so and so, then such and such will happen.
Walter A. Shewhart
As economic libertarians, these people believe that markets should be free, formed by the rational actions of rational agents - who need only to be provided with perfect information about goods and services in order to build a stable economy. As technological utopians, they believe that everything will be for the best in the best of all possible worlds, if technology is modelled on the American dream and the American way. And as opinion formers, they claim no formal power base, operating instead by linking exhaustively to one another.
Bill Thompson
Nothing in our Constitution is plainer than that declaration of a war is entrusted only to Congress. Of course, a state of war may in fact exist without a formal declaration. But no doctrine that the Court could promulgate would seem to me more sinister and alarming than that a President whose conduct of foreign affairs is so largely uncontrolled, and often even is unknown, can vastly enlarge his mastery over the internal affairs of the country by his own commitment of the Nation's armed forces to some foreign venture.
Robert H. Jackson
I think it's already apparent that a good part of this Nation understands - if only instinctively - that anything which seems to suggest that God favors a political party or the establishment of a state church, is wrong and dangerous.
Way down deep the American people are afraid of an entangling relationship between formal religions - or whole bodies of religious belief - and government. Apart from constitutional law and religious doctrine, there is a sense that tells us it's wrong to presume to speak for God or to claim God's sanction of our particular legislation and His rejection of all other positions. Most of us are offended when we see religion being trivialized by its appearance in political throw-away pamphlets.
The American people need no course in philosophy or political science or church history to know that God should not be made into a celestial party chairman.
Mario Cuomo
You hear your fate," said the Sphere to me, while the Council was passing for the third time the formal resolution. "Death or imprisonment awaits the Apostle of the Gospel of Three Dimensions." "Not so," replied I, "the matter is now so clear to me, the nature of real space so palpable, that methinks I could make a child understand it. Permit me but to descend at this moment and enlighten them." "Not yet," said my Guide, "the time will come for that. Meantime I must perform my mission. Stay thou there in thy place." Saying these words, he leaped with great dexterity into the sea (if I may so call it) of Flatland, right in the midst of the ring of Counsellors. "I come," cried he, "to proclaim that there is a land of Three Dimensions.
Edwin Abbott Abbott
'Objective' analysis is a tool, primarily useful for suggesting or confirming putative relationships between different musical styles....'Critical' analysis results not in a statistical measurement of style or proof of relationship but rather, ideally, in a formal model for a relatively independent and artistically controllable style within a culture, and should then be viable for accounting for individual manifestations of that style...
Harold Powers
Is it possible or not, given the present conditions in our continent, to achieve it (socialist power, that is) by peaceful means? We emphatically answer that, in the great majority of cases, this is not possible. The most that could be achieved would be the formal takeover of the bourgeois superstructure of power and the transition to socialism of that government which, under the established bourgeois legal system, having achieved formal power will still have to wage a very violent struggle against all who attempt, in one way or another, to check its progress toward new social structures.
Che Guevara
My book is written, as befits such easy material, in merciless telegram style ("Axiom," "Definition," "Theorem," "Proof," occasionally "Preliminary Remark")... I hope I have written this book in such a way that a normal student can read it in two days. And then (since he already knows the formal rules from school) he may forget its contents.
Edmund Landau
Society is eliminating the prerogatives and privileges of feudal. aristocratic culture together with its content. The fact that the transcending truths of the fine arts, the aesthetics of life and thought, were accessible only to the few wealthy and educated was the fault of a repressive society. But this fault is not corrected by paperbacks, general education, long-playing records, and the abolition of formal dress in the theater and concert hall. The cultural privileges expressed the injustice of freedom, the contradiction between ideology and reality, the separation of intellectual from material productivity; but they also provided a protected realm in which the tabooed truths could survive in abstract integrity-remote from the society which suppressed them.
Herbert Marcuse
How does the philosophical question differ from the non-philosophical question? To philosophize means, we said, to direct one's view toward the totality of the world. So is that a philosophical question (and that alone) which has for its explicit and formal theme the sum-total of all existing things? No! What is peculiar and distinctive about a philosophical question is that it cannot be posed, considered, or answered (so far at least as an answer is possible) without "God and the world" also coming into consideration, that is, the whole of what exists.
Josef Pieper
The paper develops a simple macroeconomic framework for the study of exchange rate movements. The purpose is to develop a theory that is suggestive of the observed large fluctuations in exchange rates while at the same time establishing that such exchange rate movements are consistent with rational expectations formation. In developing a formal model we draw on the role of asset markets, capital mobility, and expectations that have been emphasized in recent literature.
Rudiger Dornbusch
As a mathematical object, the constitution is maximally simple, consistent, necessarily incomplete, and interpretable as a model of natural law. Political authority is allocated solely to serve the constitution. There are no authorities which are not overseen, within nonlinear structures. Constitutional language is formally constructed to eliminate all ambiguity and to be processed algorithmically. Democratic elements, along with official discretion, and legal judgment, is incorporated reluctantly, minimized in principle, and gradually eliminated through incremental formal improvement. Argument defers to mathematical expertise. Politics is a disease that the constitution is designed to cure.
Nick Land
Isaac Newton's Philosophae Naturalis Principia Mathematica abstracted time from events, establishing its tractability to scientific calculation. Conceived as pure, absolute duration, without qualities, it conforms perfectly to its mathematical idealization (as the real number line). Since time is already pure, its reality indistinguishable from its formalization, a pure mathematics of change – the calculus – can be applied to physical reality without obstruction. The calculus can exactly describe things as they occur in themselves, without straying, even infinitesimally, from the rigorous dictates of formal intelligence. In this way natural philosophy becomes modern science.
Nick Land
